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//!
//! The financial functions are defined for use in financial calculations.
//!
//! An annuity is a recurring series of payments. A "simple annuity" is one
//! where equal payments are made at equal intervals, and the compounding of
//! interest occurs at those same intervals. The time between payments is
//! called the "payment interval". Where payments are made at the end of the
//! payment interval, it is called an "ordinary annuity". Where payments are
//! made at the beginning of the payment interval, it is called an "annuity
//! due". Periods are numbered starting at 1.
//!
//! Financial functions defined in this standard use a cash flow sign
//! convention where outgoing cash flows are negative and incoming cash flows
//! are positive.
use crate::*;
#[allow(unused_imports)]
use crate::fin::*;
/// Calculates the accrued interest for securities with periodic interest
/// payments.
///
/// [documentfoundation->ACCRINT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACCRINT)
///
/// __Syntax__:
/// ```ods
/// ACCRINT( Issue: DateParam; First: DateParam; Settlement: DateParam; Coupon: Number; Par: Number; Frequency: Integer )
/// ```
///
/// __Constraints__:
/// Issue < First < Settlement ; Coupon > 0; Par > 0
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculates the accrued interest for securities with periodic interest
/// payments. ACCRINT supports short, standard, and long Coupon periods.
///
/// If CalcMethod is TRUE (the default) then ACCRINT returns the sum of the
/// accrued interest in each coupon period from issue date until settlement
/// date. If CalcMethod is FALSE then ACCRINT returns the sum of the accrued
/// interest in each coupon period from first interest date until settlement
/// date. For each coupon period, the interest is Par * Coupon *
/// YEARFRAC(start-of-period;end-of-period; B)
///
/// •Issue: The security's issue or dated date.
///
/// •First: The security's first interest date.
///
/// •Settlement: The security's settlement date.
///
/// •Coupon: The security's annual coupon rate.
///
/// •Par: The security's par value, that is, the principal to be paid at
/// maturity.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// •CalcMethod: A logical value that specifies how to treat the case where
/// Settlement > First.
///
/// __See also__: [crate::of::accrintm()], [crate::of::yearfrac()], [crate::of::accrint_()], [crate::of::accrint__()],
#[inline]
pub fn accrint<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number>(issue: A, first: B, settlement: C, coupon: D, par: E, frequency: Frequency) -> FnNumber6<A, B, C, D, E, Frequency> {
FnNumber6("ACCRINT", issue, first, settlement, coupon, par, frequency)
}
/// Calculates the accrued interest for securities with periodic interest
/// payments.
///
/// [documentfoundation->ACCRINT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACCRINT)
///
/// __Syntax__:
/// ```ods
/// ACCRINT( Issue: DateParam; First: DateParam; Settlement: DateParam; Coupon: Number; Par: Number; Frequency: Integer; B: Basis )
/// ```
///
/// __Constraints__:
/// Issue < First < Settlement ; Coupon > 0; Par > 0
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculates the accrued interest for securities with periodic interest
/// payments. ACCRINT supports short, standard, and long Coupon periods.
///
/// If CalcMethod is TRUE (the default) then ACCRINT returns the sum of the
/// accrued interest in each coupon period from issue date until settlement
/// date. If CalcMethod is FALSE then ACCRINT returns the sum of the accrued
/// interest in each coupon period from first interest date until settlement
/// date. For each coupon period, the interest is Par * Coupon *
/// YEARFRAC(start-of-period;end-of-period; B)
///
/// •Issue: The security's issue or dated date.
///
/// •First: The security's first interest date.
///
/// •Settlement: The security's settlement date.
///
/// •Coupon: The security's annual coupon rate.
///
/// •Par: The security's par value, that is, the principal to be paid at
/// maturity.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// •CalcMethod: A logical value that specifies how to treat the case where
/// Settlement > First.
///
/// __See also__: [crate::of::accrintm()], [crate::of::yearfrac()], [crate::of::accrint()], [crate::of::accrint__()],
#[inline]
pub fn accrint_<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number>(issue: A, first: B, settlement: C, coupon: D, par: E, frequency: Frequency, b: YearFracMethod) -> FnNumber7<A, B, C, D, E, Frequency, YearFracMethod> {
FnNumber7("ACCRINT", issue, first, settlement, coupon, par, frequency, b)
}
/// Calculates the accrued interest for securities with periodic interest
/// payments.
///
/// [documentfoundation->ACCRINT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACCRINT)
///
/// __Syntax__:
/// ```ods
/// ACCRINT( Issue: DateParam; First: DateParam; Settlement: DateParam; Coupon: Number; Par: Number; Frequency: Integer; B: Basis; CalcMethod: Logical )
/// ```
///
/// __Constraints__:
/// Issue < First < Settlement ; Coupon > 0; Par > 0
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculates the accrued interest for securities with periodic interest
/// payments. ACCRINT supports short, standard, and long Coupon periods.
///
/// If CalcMethod is TRUE (the default) then ACCRINT returns the sum of the
/// accrued interest in each coupon period from issue date until settlement
/// date. If CalcMethod is FALSE then ACCRINT returns the sum of the accrued
/// interest in each coupon period from first interest date until settlement
/// date. For each coupon period, the interest is Par * Coupon *
/// YEARFRAC(start-of-period;end-of-period; B)
///
/// •Issue: The security's issue or dated date.
///
/// •First: The security's first interest date.
///
/// •Settlement: The security's settlement date.
///
/// •Coupon: The security's annual coupon rate.
///
/// •Par: The security's par value, that is, the principal to be paid at
/// maturity.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// •CalcMethod: A logical value that specifies how to treat the case where
/// Settlement > First.
///
/// __See also__: [crate::of::accrintm()], [crate::of::yearfrac()], [crate::of::accrint()], [crate::of::accrint_()],
#[inline]
pub fn accrint__<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number, F: Logical>(issue: A, first: B, settlement: C, coupon: D, par: E, frequency: Frequency, b: YearFracMethod, calc_method: F) -> FnNumber8<A, B, C, D, E, Frequency, YearFracMethod, F> {
FnNumber8("ACCRINT", issue, first, settlement, coupon, par, frequency, b, calc_method)
}
/// Calculates the accrued interest for securities that pay at maturity.
///
/// [documentfoundation->ACCRINTM](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACCRINTM)
///
/// __Syntax__:
/// ```ods
/// ACCRINTM( Issue: DateParam; Settlement: DateParam; Coupon: Number; Par: Number )
/// ```
///
/// __Constraints__:
/// Coupon > 0; Par > 0
///
/// __Semantics__:
/// Calculates the accrued interest for securities that pay at maturity.
///
/// •Issue: The security's issue or dated date.
///
/// •Settlement: The security's maturity date.
///
/// •Coupon: The security's annual coupon rate.
///
/// •Par: The security's par value, that is, the principal to be paid at
/// maturity.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::accrint()], [crate::of::accrintm_()],
#[inline]
pub fn accrintm<A: DateTime, B: DateTime, C: Number, D: Number>(issue: A, settlement: B, coupon: C, par: D) -> FnNumber4<A, B, C, D> {
FnNumber4("ACCRINTM", issue, settlement, coupon, par)
}
/// Calculates the accrued interest for securities that pay at maturity.
///
/// [documentfoundation->ACCRINTM](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACCRINTM)
///
/// __Syntax__:
/// ```ods
/// ACCRINTM( Issue: DateParam; Settlement: DateParam; Coupon: Number; Par: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Coupon > 0; Par > 0
///
/// __Semantics__:
/// Calculates the accrued interest for securities that pay at maturity.
///
/// •Issue: The security's issue or dated date.
///
/// •Settlement: The security's maturity date.
///
/// •Coupon: The security's annual coupon rate.
///
/// •Par: The security's par value, that is, the principal to be paid at
/// maturity.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::accrint()], [crate::of::accrintm()],
#[inline]
pub fn accrintm_<A: DateTime, B: DateTime, C: Number, D: Number>(issue: A, settlement: B, coupon: C, par: D, b: YearFracMethod) -> FnNumber5<A, B, C, D, YearFracMethod> {
FnNumber5("ACCRINTM", issue, settlement, coupon, par, b)
}
/// Calculates the amortization value for the French accounting system using
/// linear depreciation (l'amortissement linéaire comptable) .
///
/// [documentfoundation->AMORLINC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/AMORLINC)
///
/// __Syntax__:
/// ```ods
/// AMORLINC( Cost: Number; PurchaseDate: DateParam; FirstPeriodEndDate: DateParam; Salvage: Number; Period: Integer; Rate: Number )
/// ```
///
/// __Constraints__:
/// Cost > 0; PurchaseDate ≤ FirstPeriodEndDate; Salvage ≥ 0; Period ≥ 0;
/// Rate > 0
///
/// __Semantics__:
/// Calculates the amortization value for the French accounting system using
/// linear depreciation.
///
/// •Cost: The value of the asset at the date of aquisition.
///
/// •PurchaseDate: The date of aquisition.
///
/// •FirstPeriodEndDate: The end date of the first depreciation period.
///
/// •Salvage: The value of the asset at the end of the depreciation life
/// time.
///
/// •Period: Which period the depreciation should be calculated for.
///
/// •Rate: The rate of depreciation.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// When Period = 0:
///
/// For full periods, where Period > 0, the depreciation is Cost * Rate
///
/// For the last period, possibly a partial period: the depreciation = Cost -
/// Salvage - accumulated-depreciation, where accumulated-depreciation is the
/// sum of the depreciation in period 0 plus any full period depreciations.
///
/// When Period > depreciated life of the asset, i.e., when Period > (Cost -
/// Salvage) / (Cost * Rate) then the depreciation is 0.
///
/// __Note__:
/// The behavior of this function is implementation-defined in cases where
/// PurchaseDate = FirstPeriodEndDate.
///
/// __See also__: [crate::of::db()], [crate::of::ddb()], [crate::of::yearfrac()], [crate::of::amorlinc_()],
#[inline]
pub fn amorlinc<A: Number, B: DateTime, C: DateTime, D: Number, E: Number, F: Number>(cost: A, purchase_date: B, first_period_end_date: C, salvage: D, period: E, rate: F) -> FnNumber6<A, B, C, D, E, F> {
FnNumber6("AMORLINC", cost, purchase_date, first_period_end_date, salvage, period, rate)
}
/// Calculates the amortization value for the French accounting system using
/// linear depreciation (l'amortissement linéaire comptable) .
///
/// [documentfoundation->AMORLINC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/AMORLINC)
///
/// __Syntax__:
/// ```ods
/// AMORLINC( Cost: Number; PurchaseDate: DateParam; FirstPeriodEndDate: DateParam; Salvage: Number; Period: Integer; Rate: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Cost > 0; PurchaseDate ≤ FirstPeriodEndDate; Salvage ≥ 0; Period ≥ 0;
/// Rate > 0
///
/// __Semantics__:
/// Calculates the amortization value for the French accounting system using
/// linear depreciation.
///
/// •Cost: The value of the asset at the date of aquisition.
///
/// •PurchaseDate: The date of aquisition.
///
/// •FirstPeriodEndDate: The end date of the first depreciation period.
///
/// •Salvage: The value of the asset at the end of the depreciation life
/// time.
///
/// •Period: Which period the depreciation should be calculated for.
///
/// •Rate: The rate of depreciation.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// When Period = 0:
///
/// For full periods, where Period > 0, the depreciation is Cost * Rate
///
/// For the last period, possibly a partial period: the depreciation = Cost -
/// Salvage - accumulated-depreciation, where accumulated-depreciation is the
/// sum of the depreciation in period 0 plus any full period depreciations.
///
/// When Period > depreciated life of the asset, i.e., when Period > (Cost -
/// Salvage) / (Cost * Rate) then the depreciation is 0.
///
/// __Note__:
/// The behavior of this function is implementation-defined in cases where
/// PurchaseDate = FirstPeriodEndDate.
///
/// __See also__: [crate::of::db()], [crate::of::ddb()], [crate::of::yearfrac()], [crate::of::amorlinc()],
#[inline]
pub fn amorlinc_<A: Number, B: DateTime, C: DateTime, D: Number, E: Number, F: Number>(cost: A, purchase_date: B, first_period_end_date: C, salvage: D, period: E, rate: F, b: YearFracMethod) -> FnNumber7<A, B, C, D, E, F, YearFracMethod> {
FnNumber7("AMORLINC", cost, purchase_date, first_period_end_date, salvage, period, rate, b)
}
/// Calculates the number of days between the beginning of the coupon period
/// that contains the settlement date and the settlement date.
///
/// [documentfoundation->COUPDAYBS](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPDAYBS)
///
/// __Syntax__:
/// ```ods
/// COUPDAYBS( Settlement: DateParam; Maturity: DateParam; Frequency: Integer )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculate the number of days from the beginning of the coupon period to the
/// settlement date.
///
/// •Settlement: The settlement date.
///
/// •Maturity: The maturity date.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdays()], [crate::of::coupdaysnc()], [crate::of::coupncd()], [crate::of::coupnum()], [crate::of::couppcd()], [crate::of::coupdaybs_()],
#[inline]
pub fn coupdaybs<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency) -> FnNumber3<A, B, Frequency> {
FnNumber3("COUPDAYBS", settlement, maturity, frequency)
}
/// Calculates the number of days between the beginning of the coupon period
/// that contains the settlement date and the settlement date.
///
/// [documentfoundation->COUPDAYBS](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPDAYBS)
///
/// __Syntax__:
/// ```ods
/// COUPDAYBS( Settlement: DateParam; Maturity: DateParam; Frequency: Integer; B: Basis )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculate the number of days from the beginning of the coupon period to the
/// settlement date.
///
/// •Settlement: The settlement date.
///
/// •Maturity: The maturity date.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdays()], [crate::of::coupdaysnc()], [crate::of::coupncd()], [crate::of::coupnum()], [crate::of::couppcd()], [crate::of::coupdaybs()],
#[inline]
pub fn coupdaybs_<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency, b: YearFracMethod) -> FnNumber4<A, B, Frequency, YearFracMethod> {
FnNumber4("COUPDAYBS", settlement, maturity, frequency, b)
}
/// Calculates the number of days in a coupon period that contains the
/// settlement date.
///
/// [documentfoundation->COUPDAYS](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPDAYS)
///
/// __Syntax__:
/// ```ods
/// COUPDAYS( Settlement: DateParam; Maturity: DateParam; Frequency: Integer )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculates the number of days in the coupon period containing the
/// settlement date.
///
/// •Settlement: The settlement date.
///
/// •Maturity: The maturity date.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaybs()], [crate::of::coupdaysnc()], [crate::of::coupncd()], [crate::of::coupnum()], [crate::of::couppcd()], [crate::of::coupdays_()],
#[inline]
pub fn coupdays<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency) -> FnNumber3<A, B, Frequency> {
FnNumber3("COUPDAYS", settlement, maturity, frequency)
}
/// Calculates the number of days in a coupon period that contains the
/// settlement date.
///
/// [documentfoundation->COUPDAYS](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPDAYS)
///
/// __Syntax__:
/// ```ods
/// COUPDAYS( Settlement: DateParam; Maturity: DateParam; Frequency: Integer; B: Basis )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculates the number of days in the coupon period containing the
/// settlement date.
///
/// •Settlement: The settlement date.
///
/// •Maturity: The maturity date.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaybs()], [crate::of::coupdaysnc()], [crate::of::coupncd()], [crate::of::coupnum()], [crate::of::couppcd()], [crate::of::coupdays()],
#[inline]
pub fn coupdays_<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency, b: YearFracMethod) -> FnNumber4<A, B, Frequency, YearFracMethod> {
FnNumber4("COUPDAYS", settlement, maturity, frequency, b)
}
/// Calculates the number of days between a settlement date and the next coupon
/// date.
///
/// [documentfoundation->COUPDAYSNC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPDAYSNC)
///
/// __Syntax__:
/// ```ods
/// COUPDAYSNC( Settlement: DateParam; Maturity: DateParam; Frequency: Integer )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculates the number of days between the settlement date and the next
/// coupon date.
///
/// •Settlement: The settlement date.
///
/// •Maturity: The maturity date.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaybs()], [crate::of::coupdays()], [crate::of::coupncd()], [crate::of::coupnum()], [crate::of::couppcd()], [crate::of::coupdaysnc_()],
#[inline]
pub fn coupdaysnc<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency) -> FnNumber3<A, B, Frequency> {
FnNumber3("COUPDAYSNC", settlement, maturity, frequency)
}
/// Calculates the number of days between a settlement date and the next coupon
/// date.
///
/// [documentfoundation->COUPDAYSNC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPDAYSNC)
///
/// __Syntax__:
/// ```ods
/// COUPDAYSNC( Settlement: DateParam; Maturity: DateParam; Frequency: Integer; B: Basis )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is one of the following values:
///
/// __Semantics__:
/// Calculates the number of days between the settlement date and the next
/// coupon date.
///
/// •Settlement: The settlement date.
///
/// •Maturity: The maturity date.
///
/// •Frequency: The number of coupon payments per year.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaybs()], [crate::of::coupdays()], [crate::of::coupncd()], [crate::of::coupnum()], [crate::of::couppcd()], [crate::of::coupdaysnc()],
#[inline]
pub fn coupdaysnc_<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency, b: YearFracMethod) -> FnNumber4<A, B, Frequency, YearFracMethod> {
FnNumber4("COUPDAYSNC", settlement, maturity, frequency, b)
}
/// Calculates the next coupon date following a settlement.
///
/// [documentfoundation->COUPNCD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPNCD)
///
/// __Syntax__:
/// ```ods
/// COUPNCD( Settlement: DateParam; Maturity: DateParam; Frequency: Integer )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is the number of coupon payments per year. Frequency is one of
/// the following values:
///
/// __Semantics__:
/// Calculates the next coupon date after the Settlement date based on the
/// Maturity (expiration) date of the asset, the Frequency of coupon payments
/// and the day-count B.
///
/// B indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaysnc()], [crate::of::coupncd_()],
#[inline]
pub fn coupncd<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency) -> FnNumber3<A, B, Frequency> {
FnNumber3("COUPNCD", settlement, maturity, frequency)
}
/// Calculates the next coupon date following a settlement.
///
/// [documentfoundation->COUPNCD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPNCD)
///
/// __Syntax__:
/// ```ods
/// COUPNCD( Settlement: DateParam; Maturity: DateParam; Frequency: Integer; B: Basis )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is the number of coupon payments per year. Frequency is one of
/// the following values:
///
/// __Semantics__:
/// Calculates the next coupon date after the Settlement date based on the
/// Maturity (expiration) date of the asset, the Frequency of coupon payments
/// and the day-count B.
///
/// B indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaysnc()], [crate::of::coupncd()],
#[inline]
pub fn coupncd_<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency, b: YearFracMethod) -> FnNumber4<A, B, Frequency, YearFracMethod> {
FnNumber4("COUPNCD", settlement, maturity, frequency, b)
}
/// Calculates the number of outstanding coupons between settlement and
/// maturity dates.
///
/// [documentfoundation->COUPNUM](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPNUM)
///
/// __Syntax__:
/// ```ods
/// COUPNUM( Settlement: DateParam; Maturity: DateParam; Frequency: Integer )
/// ```
///
/// __Constraints__:
/// Frequency is the number of coupon payments per year. Frequency is one of
/// the following values:
///
/// __Semantics__:
/// Calculates the number of coupons in the interval between the Settlement and
/// the Maturity (expiration) date of the asset, the Frequency of coupon
/// payments and the day-count B.
///
/// B indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaybs()], [crate::of::coupdays()], [crate::of::coupdaysnc()], [crate::of::coupncd()], [crate::of::couppcd()], [crate::of::coupnum_()],
#[inline]
pub fn coupnum<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency) -> FnNumber3<A, B, Frequency> {
FnNumber3("COUPNUM", settlement, maturity, frequency)
}
/// Calculates the number of outstanding coupons between settlement and
/// maturity dates.
///
/// [documentfoundation->COUPNUM](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPNUM)
///
/// __Syntax__:
/// ```ods
/// COUPNUM( Settlement: DateParam; Maturity: DateParam; Frequency: Integer; B: Basis )
/// ```
///
/// __Constraints__:
/// Frequency is the number of coupon payments per year. Frequency is one of
/// the following values:
///
/// __Semantics__:
/// Calculates the number of coupons in the interval between the Settlement and
/// the Maturity (expiration) date of the asset, the Frequency of coupon
/// payments and the day-count B.
///
/// B indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaybs()], [crate::of::coupdays()], [crate::of::coupdaysnc()], [crate::of::coupncd()], [crate::of::couppcd()], [crate::of::coupnum()],
#[inline]
pub fn coupnum_<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency, b: YearFracMethod) -> FnNumber4<A, B, Frequency, YearFracMethod> {
FnNumber4("COUPNUM", settlement, maturity, frequency, b)
}
/// Calculates the next coupon date prior a settlement.
///
/// [documentfoundation->COUPPCD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPPCD)
///
/// __Syntax__:
/// ```ods
/// COUPPCD( Settlement: DateParam; Maturity: DateParam; Frequency: Integer )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is the number of coupon payments per year. Frequency is one of
/// the following values:
///
/// __Semantics__:
/// Calculates the next coupon date prior to the Settlement date based on the
/// Maturity (expiration) date of the asset, the Frequency of coupon payments
/// and the day-count B.
///
/// B indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaybs()], [crate::of::coupdays()], [crate::of::coupdaysnc()], [crate::of::coupncd()], [crate::of::coupnum()], [crate::of::couppcd_()],
#[inline]
pub fn couppcd<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency) -> FnNumber3<A, B, Frequency> {
FnNumber3("COUPPCD", settlement, maturity, frequency)
}
/// Calculates the next coupon date prior a settlement.
///
/// [documentfoundation->COUPPCD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COUPPCD)
///
/// __Syntax__:
/// ```ods
/// COUPPCD( Settlement: DateParam; Maturity: DateParam; Frequency: Integer; B: Basis )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// Frequency is the number of coupon payments per year. Frequency is one of
/// the following values:
///
/// __Semantics__:
/// Calculates the next coupon date prior to the Settlement date based on the
/// Maturity (expiration) date of the asset, the Frequency of coupon payments
/// and the day-count B.
///
/// B indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::coupdaybs()], [crate::of::coupdays()], [crate::of::coupdaysnc()], [crate::of::coupncd()], [crate::of::coupnum()], [crate::of::couppcd()],
#[inline]
pub fn couppcd_<A: DateTime, B: DateTime>(settlement: A, maturity: B, frequency: Frequency, b: YearFracMethod) -> FnNumber4<A, B, Frequency, YearFracMethod> {
FnNumber4("COUPPCD", settlement, maturity, frequency, b)
}
/// Calculates a cumulative interest payment.
///
/// [documentfoundation->CUMIPMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CUMIPMT)
///
/// __Syntax__:
/// ```ods
/// CUMIPMT( Rate: Number; Periods: Number; Value: Number; Start: Integer; End: Integer; Type: Integer )
/// ```
///
/// __Constraints__:
/// Rate > 0; Value > 0; 1 ≤ Start ≤ End ≤ Periods
///
/// Type is one of the following values:
///
/// due at the beginning
///
/// __Semantics__:
/// Calculates the cumulative interest payment.
///
/// •Rate: The interest rate per period.
///
/// •Periods: The number of periods.
///
/// •Value: The current value of the loan.
///
/// •Start: The starting period.
///
/// •End: The end period.
///
/// •Type: The maturity date, the beginning or the end of a period.
///
/// __See also__: [crate::of::ipmt()], [crate::of::cumprinc()],
#[inline]
pub fn cumipmt<A: Number, B: Number, C: Number, D: Number, E: Number>(rate: A, periods: B, value: C, start: D, end: E, type_: MaturityDate) -> FnNumber6<A, B, C, D, E, MaturityDate> {
FnNumber6("CUMIPMT", rate, periods, value, start, end, type_)
}
/// Calculates a cumulative principal payment.
///
/// [documentfoundation->CUMPRINC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CUMPRINC)
///
/// __Syntax__:
/// ```ods
/// CUMPRINC( Rate: Number; Periods: Number; Value: Number; Start: Integer; End: Integer; Type: Integer )
/// ```
///
/// __Constraints__:
/// Type is one of the following values:
///
/// __Semantics__:
/// Calculates the cumulative principal payment.
///
/// •Rate: The interest rate per period.
///
/// •Periods: The number of periods.
///
/// •Value: The current value of the loan.
///
/// •Start: The starting period.
///
/// •End: The end period.
///
/// •Type: The maturity date, the beginning or the end of a period.
///
/// __See also__: [crate::of::ppmt()], [crate::of::cumipmt()],
#[inline]
pub fn cumprinc<A: Number, B: Number, C: Number, D: Number, E: Number>(rate: A, periods: B, value: C, start: D, end: E, type_: MaturityDate) -> FnNumber6<A, B, C, D, E, MaturityDate> {
FnNumber6("CUMPRINC", rate, periods, value, start, end, type_)
}
/// Compute the depreciation allowance of an asset.
///
/// [documentfoundation->DB](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DB)
///
/// __Syntax__:
/// ```ods
/// DB( Cost: Number; Salvage: Number; LifeTime: Integer; Period: Number )
/// ```
///
/// __Constraints__:
/// Cost > 0, Salvage ≥ 0, LifeTime > 0; Period > 0; 0 < Month < 13
///
/// __Semantics__:
/// Calculate the depreciation allowance of an asset with an initial value of
/// Cost, an expected useful LifeTime, and a final Salvage value at a specified
/// Period of time, using the fixed-declining balance method. The parameters
/// are:
///
/// •Cost: the total amount paid for the asset.
///
/// •Salvage: the salvage value at the end of the LifeTime.
///
/// •LifeTime: the number of periods that the depreciation will occur over. A
/// positive integer.
///
/// •Period: the time period for which you want to find the depreciation
/// allowance, in the same units as LifeTime.
///
/// •Month: (optional) the number of months in the first year of
/// depreciation, assumed to be 12, if not specified. If a value is specified
/// for Month, LifeTime and Period are assumed to be measured in years.
///
/// The rate is calculated as follows:
///
/// and is rounded to 3 decimals.
///
/// For the first period the residual value is
///
/// For all periods, where Period ≤ LifeTime, the residual value is
/// calculated by
///
/// If Month was specified, the residual value for the period after LifeTime
/// becomes
///
/// The depreciation allowance for the first period is
///
/// For all other periods the allowance is calculated by
///
/// For all periods, where Period > LifeTime + 1 – INT(Month / 12), the
/// depreciation allowance is zero.
///
/// __See also__: [crate::of::ddb()], [crate::of::sln()], [crate::of::int()], [crate::of::db_()],
#[inline]
pub fn db<A: Number, B: Number, C: Number, D: Number>(cost: A, salvage: B, life_time: C, period: D) -> FnNumber4<A, B, C, D> {
FnNumber4("DB", cost, salvage, life_time, period)
}
/// Compute the depreciation allowance of an asset.
///
/// [documentfoundation->DB](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DB)
///
/// __Syntax__:
/// ```ods
/// DB( Cost: Number; Salvage: Number; LifeTime: Integer; Period: Number; Month: Number )
/// ```
///
/// __Constraints__:
/// Cost > 0, Salvage ≥ 0, LifeTime > 0; Period > 0; 0 < Month < 13
///
/// __Semantics__:
/// Calculate the depreciation allowance of an asset with an initial value of
/// Cost, an expected useful LifeTime, and a final Salvage value at a specified
/// Period of time, using the fixed-declining balance method. The parameters
/// are:
///
/// •Cost: the total amount paid for the asset.
///
/// •Salvage: the salvage value at the end of the LifeTime.
///
/// •LifeTime: the number of periods that the depreciation will occur over. A
/// positive integer.
///
/// •Period: the time period for which you want to find the depreciation
/// allowance, in the same units as LifeTime.
///
/// •Month: (optional) the number of months in the first year of
/// depreciation, assumed to be 12, if not specified. If a value is specified
/// for Month, LifeTime and Period are assumed to be measured in years.
///
/// The rate is calculated as follows:
///
/// and is rounded to 3 decimals.
///
/// For the first period the residual value is
///
/// For all periods, where Period ≤ LifeTime, the residual value is
/// calculated by
///
/// If Month was specified, the residual value for the period after LifeTime
/// becomes
///
/// The depreciation allowance for the first period is
///
/// For all other periods the allowance is calculated by
///
/// For all periods, where Period > LifeTime + 1 – INT(Month / 12), the
/// depreciation allowance is zero.
///
/// __See also__: [crate::of::ddb()], [crate::of::sln()], [crate::of::int()], [crate::of::db()],
#[inline]
pub fn db_<A: Number, B: Number, C: Number, D: Number, E: Number>(cost: A, salvage: B, life_time: C, period: D, month: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("DB", cost, salvage, life_time, period, month)
}
/// Compute the amount of depreciation at a given period of time.
///
/// [documentfoundation->DDB](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DDB)
///
/// __Syntax__:
/// ```ods
/// DDB( Cost: Number; Salvage: Number; LifeTime: Number; Period: Number )
/// ```
///
/// __Constraints__:
/// Cost ≥ 0, Salvage ≥ 0, Salvage ≤ Cost, 1 ≤ Period ≤ LifeTime,
/// DeclinationFactor > 0
///
/// __Semantics__:
/// Compute the amount of depreciation of an asset at a given period of time.
/// The parameters are:
///
/// •Cost: the total amount paid for the asset.
///
/// •Salvage: the salvage value at the end of the LifeTime
///
/// •LifeTime: the number of periods that the depreciation will occur over.
///
/// •Period: the period for which a depreciation value is specified.
///
/// •DeclinationFactor: the method of calculating depreciation, the rate at
/// which the balance declines. Defaults to 2. If 2, double-declining balance
/// is used.
///
/// To calculate depreciation, DDB uses a fixed rate. When DeclinationFactor =
/// 2 this is the double-declining-balance method (because it is double the
/// straight-line rate that would depreciate the asset to zero). The rate is
/// given by:
///
/// The depreciation each period is calculated as
///
/// depreciation_of_period = MIN( book_value_at_start_of_ period * rate;
/// book_value_at_start_of_ period - Salvage )
///
/// Thus the asset depreciates at rate until the book value is Salvage value.
///
/// To allow also non-integer Period values this algorithm may be used:
///
/// If Period is an Integer number, the relation between DDB and VDB is:
/// DDB( Cost ; Salvage ; LifeTime ; Period ; DeclinationFactor )
/// equals
/// VDB( Cost ; Salvage ; LifeTime ; Period - 1 ; Period ; DeclinationFactor ;
/// TRUE )
///
/// __See also__: [crate::of::sln()], [crate::of::vdb()], [crate::of::min()], [crate::of::ddb_()],
#[inline]
pub fn ddb<A: Number, B: Number, C: Number, D: Number>(cost: A, salvage: B, life_time: C, period: D) -> FnNumber4<A, B, C, D> {
FnNumber4("DDB", cost, salvage, life_time, period)
}
/// Compute the amount of depreciation at a given period of time.
///
/// [documentfoundation->DDB](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DDB)
///
/// __Syntax__:
/// ```ods
/// DDB( Cost: Number; Salvage: Number; LifeTime: Number; Period: Number; DeclinationFactor: Number )
/// ```
///
/// __Constraints__:
/// Cost ≥ 0, Salvage ≥ 0, Salvage ≤ Cost, 1 ≤ Period ≤ LifeTime,
/// DeclinationFactor > 0
///
/// __Semantics__:
/// Compute the amount of depreciation of an asset at a given period of time.
/// The parameters are:
///
/// •Cost: the total amount paid for the asset.
///
/// •Salvage: the salvage value at the end of the LifeTime
///
/// •LifeTime: the number of periods that the depreciation will occur over.
///
/// •Period: the period for which a depreciation value is specified.
///
/// •DeclinationFactor: the method of calculating depreciation, the rate at
/// which the balance declines. Defaults to 2. If 2, double-declining balance
/// is used.
///
/// To calculate depreciation, DDB uses a fixed rate. When DeclinationFactor =
/// 2 this is the double-declining-balance method (because it is double the
/// straight-line rate that would depreciate the asset to zero). The rate is
/// given by:
///
/// The depreciation each period is calculated as
///
/// depreciation_of_period = MIN( book_value_at_start_of_ period * rate;
/// book_value_at_start_of_ period - Salvage )
///
/// Thus the asset depreciates at rate until the book value is Salvage value.
///
/// To allow also non-integer Period values this algorithm may be used:
///
/// If Period is an Integer number, the relation between DDB and VDB is:
/// DDB( Cost ; Salvage ; LifeTime ; Period ; DeclinationFactor )
/// equals
/// VDB( Cost ; Salvage ; LifeTime ; Period - 1 ; Period ; DeclinationFactor ;
/// TRUE )
///
/// __See also__: [crate::of::sln()], [crate::of::vdb()], [crate::of::min()], [crate::of::ddb()],
#[inline]
pub fn ddb_<A: Number, B: Number, C: Number, D: Number, E: Number>(cost: A, salvage: B, life_time: C, period: D, declination_factor: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("DDB", cost, salvage, life_time, period, declination_factor)
}
/// Returns the discount rate of a security.
///
/// [documentfoundation->DISC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DISC)
///
/// __Syntax__:
/// ```ods
/// DISC( Settlement: DateParam; Maturity: DateParam; Price: Number; Redemption: Number )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// __Semantics__:
/// Calculates the discount rate of a security.
///
/// •Settlement: The settlement date of the security.
///
/// •Maturity: The maturity date.
///
/// •Price: The price of the security.
///
/// •Redemption: The redemption value of the security.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::yearfrac()], [crate::of::disc_()],
#[inline]
pub fn disc<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, price: C, redemption: D) -> FnNumber4<A, B, C, D> {
FnNumber4("DISC", settlement, maturity, price, redemption)
}
/// Returns the discount rate of a security.
///
/// [documentfoundation->DISC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DISC)
///
/// __Syntax__:
/// ```ods
/// DISC( Settlement: DateParam; Maturity: DateParam; Price: Number; Redemption: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// __Semantics__:
/// Calculates the discount rate of a security.
///
/// •Settlement: The settlement date of the security.
///
/// •Maturity: The maturity date.
///
/// •Price: The price of the security.
///
/// •Redemption: The redemption value of the security.
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::yearfrac()], [crate::of::disc()],
#[inline]
pub fn disc_<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, price: C, redemption: D, b: YearFracMethod) -> FnNumber5<A, B, C, D, YearFracMethod> {
FnNumber5("DISC", settlement, maturity, price, redemption, b)
}
/// Converts a fractional dollar representation into a decimal representation.
///
/// [documentfoundation->DOLLARDE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DOLLARDE)
///
/// __Syntax__:
/// ```ods
/// DOLLARDE( Fractional: Number; Denominator: Integer )
/// ```
///
/// __Constraints__:
/// Denominator > 0
///
/// __Semantics__:
/// Converts a fractional dollar representation into a decimal representation.
///
/// •Fractional: Decimal fraction.
///
/// •Denominator: The denominator of the fraction.
///
/// __See also__: [crate::of::dollarfr()], [crate::of::trunc()],
#[inline]
pub fn dollarde<A: Number, B: Number>(fractional: A, denominator: B) -> FnNumber2<A, B> {
FnNumber2("DOLLARDE", fractional, denominator)
}
/// Converts a decimal dollar representation into a fractional representation.
///
/// [documentfoundation->DOLLARFR](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DOLLARFR)
///
/// __Syntax__:
/// ```ods
/// DOLLARFR( Decimal: Number; Denominator: Integer )
/// ```
///
/// __Constraints__:
/// Denominator > 0
///
/// __Semantics__:
/// Converts a decimal dollar representation into a fractional representation.
///
/// •Decimal: A decimal number.
///
/// •Denominator: The denominator of the fraction.
///
/// __See also__: [crate::of::dollarde()], [crate::of::trunc()],
#[inline]
pub fn dollarfr<A: Number, B: Number>(decimal: A, denominator: B) -> FnNumber2<A, B> {
FnNumber2("DOLLARFR", decimal, denominator)
}
/// Returns the Macaulay duration of a fixed interest security in years
///
/// [documentfoundation->DURATION](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DURATION)
///
/// __Syntax__:
/// ```ods
/// DURATION( Settlement: Date; Maturity: Date; Coupon: Number; Yield: Number; Frequency: Number )
/// ```
///
/// __Constraints__:
/// Yield ≥0, Coupon ≥ 0, Settlement ≤ Maturity; Frequency = 1, 2, 4
///
/// __Semantics__:
/// Computes the Macaulay duration, given:
///
/// •Settlement: the date of purchase of the security
///
/// •Maturity: the date when the security matures
///
/// •Coupon: the annual nominal rate of interest
///
/// •Yield: the annual yield of the security
///
/// •Frequency: number of interest payments per year
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::mduration()], [crate::of::duration_()],
#[inline]
pub fn duration<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, coupon: C, yield_: D, frequency: Frequency) -> FnNumber5<A, B, C, D, Frequency> {
FnNumber5("DURATION", settlement, maturity, coupon, yield_, frequency)
}
/// Returns the Macaulay duration of a fixed interest security in years
///
/// [documentfoundation->DURATION](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DURATION)
///
/// __Syntax__:
/// ```ods
/// DURATION( Settlement: Date; Maturity: Date; Coupon: Number; Yield: Number; Frequency: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Yield ≥0, Coupon ≥ 0, Settlement ≤ Maturity; Frequency = 1, 2, 4
///
/// __Semantics__:
/// Computes the Macaulay duration, given:
///
/// •Settlement: the date of purchase of the security
///
/// •Maturity: the date when the security matures
///
/// •Coupon: the annual nominal rate of interest
///
/// •Yield: the annual yield of the security
///
/// •Frequency: number of interest payments per year
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::mduration()], [crate::of::duration()],
#[inline]
pub fn duration_<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, coupon: C, yield_: D, frequency: Frequency, b: YearFracMethod) -> FnNumber6<A, B, C, D, Frequency, YearFracMethod> {
FnNumber6("DURATION", settlement, maturity, coupon, yield_, frequency, b)
}
/// Returns the net annual interest rate for a nominal interest rate.
///
/// [documentfoundation->EFFECT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/EFFECT)
///
/// __Syntax__:
/// ```ods
/// EFFECT( Rate: Number; Payments: Integer )
/// ```
///
/// __Constraints__:
/// Rate ≥ 0; Payments > 0
///
/// __Semantics__:
/// Nominal interest refers to the amount of interest due at the end of a
/// calculation period. Effective interest increases with the number of
/// payments made. In other words, interest is often paid in installments (for
/// example, monthly or quarterly) before the end of the calculation period.
///
/// •Rate: The interest rate per period.
///
/// •Payments: The number of payments per period.
///
/// __See also__: [crate::of::nominal()],
#[inline]
pub fn effect<A: Number, B: Number>(rate: A, payments: B) -> FnNumber2<A, B> {
FnNumber2("EFFECT", rate, payments)
}
/// Compute the future value (FV) of an investment.
///
/// [documentfoundation->FV](https://wiki.documentfoundation.org/Documentation/Calc_Functions/FV)
///
/// __Syntax__:
/// ```ods
/// FV( Rate: Number; Nper: Number; Payment: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the future value of an investment. The parameters are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// See PV 6.12.41 for the equation this solves.
///
/// __See also__: [crate::of::pv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::rate()], [crate::of::fv_()], [crate::of::fv__()],
#[inline]
pub fn fv<A: Number, B: Number, C: Number>(rate: A, nper: B, payment: C) -> FnNumber3<A, B, C> {
FnNumber3("FV", rate, nper, payment)
}
/// Compute the future value (FV) of an investment.
///
/// [documentfoundation->FV](https://wiki.documentfoundation.org/Documentation/Calc_Functions/FV)
///
/// __Syntax__:
/// ```ods
/// FV( Rate: Number; Nper: Number; Payment: Number; Pv: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the future value of an investment. The parameters are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// See PV 6.12.41 for the equation this solves.
///
/// __See also__: [crate::of::pv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::rate()], [crate::of::fv()], [crate::of::fv__()],
#[inline]
pub fn fv_<A: Number, B: Number, C: Number, D: Number>(rate: A, nper: B, payment: C, pv: D) -> FnNumber4<A, B, C, D> {
FnNumber4("FV", rate, nper, payment, pv)
}
/// Compute the future value (FV) of an investment.
///
/// [documentfoundation->FV](https://wiki.documentfoundation.org/Documentation/Calc_Functions/FV)
///
/// __Syntax__:
/// ```ods
/// FV( Rate: Number; Nper: Number; Payment: Number; Pv: Number; PayType: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the future value of an investment. The parameters are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// See PV 6.12.41 for the equation this solves.
///
/// __See also__: [crate::of::pv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::rate()], [crate::of::fv()], [crate::of::fv_()],
#[inline]
pub fn fv__<A: Number, B: Number, C: Number, D: Number, E: Number>(rate: A, nper: B, payment: C, pv: D, pay_type: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("FV", rate, nper, payment, pv, pay_type)
}
/// Returns the accumulated value given starting capital and a series of
/// interest rates.
///
/// [documentfoundation->FVSCHEDULE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/FVSCHEDULE)
///
/// __Syntax__:
/// ```ods
/// FVSCHEDULE( Principal: Number; Schedule: NumberSequence )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Returns the accumulated value given starting capital and a series of
/// interest rates, as follows:
///
/// __See also__: [crate::of::pv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::rate()],
#[inline]
pub fn fvschedule<A: Number, B: Sequence>(principal: A, schedule: B) -> FnNumber2<A, B> {
FnNumber2("FVSCHEDULE", principal, schedule)
}
/// Computes the interest rate of a fully vested security.
///
/// [documentfoundation->INTRATE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/INTRATE)
///
/// __Syntax__:
/// ```ods
/// INTRATE( Settlement: Date; Maturity: Date; Investment: Number; Redemption: Number )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// __Semantics__:
/// Calculates the annual interest rate that results when an item is purchased
/// at the investment price and sold at the redemption price. No interest is
/// paid on the investment. The parameters are:
///
/// •Settlement: the date of purchase of the security.
///
/// •Maturity: the date on which the security is sold.
///
/// •Investment: the purchase price.
///
/// •Redemption: the selling price.
///
/// •Basis: indicates the day-count convention to use in the calculation.
/// 4.11.7
///
/// The return value for this function is:
///
/// __See also__: [crate::of::received()], [crate::of::yearfrac()], [crate::of::intrate_()],
#[inline]
pub fn intrate<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, investment: C, redemption: D) -> FnNumber4<A, B, C, D> {
FnNumber4("INTRATE", settlement, maturity, investment, redemption)
}
/// Computes the interest rate of a fully vested security.
///
/// [documentfoundation->INTRATE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/INTRATE)
///
/// __Syntax__:
/// ```ods
/// INTRATE( Settlement: Date; Maturity: Date; Investment: Number; Redemption: Number; Basis: Basis )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity
///
/// __Semantics__:
/// Calculates the annual interest rate that results when an item is purchased
/// at the investment price and sold at the redemption price. No interest is
/// paid on the investment. The parameters are:
///
/// •Settlement: the date of purchase of the security.
///
/// •Maturity: the date on which the security is sold.
///
/// •Investment: the purchase price.
///
/// •Redemption: the selling price.
///
/// •Basis: indicates the day-count convention to use in the calculation.
/// 4.11.7
///
/// The return value for this function is:
///
/// __See also__: [crate::of::received()], [crate::of::yearfrac()], [crate::of::intrate()],
#[inline]
pub fn intrate_<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, investment: C, redemption: D, basis: YearFracMethod) -> FnNumber5<A, B, C, D, YearFracMethod> {
FnNumber5("INTRATE", settlement, maturity, investment, redemption, basis)
}
/// Returns the amount of an annuity payment going towards interest.
///
/// [documentfoundation->IPMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/IPMT)
///
/// __Syntax__:
/// ```ods
/// IPMT( Rate: Number; Period: Number; Nper: Number; PV: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the interest portion of an amortized payment for a constant
/// interest rate and regular payments. The interest payment is the interest
/// rate multiplied by the balance at the beginning of the period. The
/// parameters are:
///
/// •Rate: The periodic interest rate.
///
/// •Period: The period for which the interest payment is computed.
///
/// •Nper: The total number of periods for which the payments are made
///
/// •PV: The present value (e.g. The initial loan amount).
///
/// •FV: The future value (optional) at the end of the periods. Zero if
/// omitted.
///
/// •Type: the due date for the payments (optional). Zero if omitted. If Type
/// is 1, then payments are made at the beginning of each period. If Type is 0,
/// then payments are made at the end of each period.
///
/// __See also__: [crate::of::ppmt()], [crate::of::pmt()], [crate::of::ipmt_()], [crate::of::ipmt__()],
#[inline]
pub fn ipmt<A: Number, B: Number, C: Number, D: Number>(rate: A, period: B, nper: C, p_v: D) -> FnNumber4<A, B, C, D> {
FnNumber4("IPMT", rate, period, nper, p_v)
}
/// Returns the amount of an annuity payment going towards interest.
///
/// [documentfoundation->IPMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/IPMT)
///
/// __Syntax__:
/// ```ods
/// IPMT( Rate: Number; Period: Number; Nper: Number; PV: Number; FV: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the interest portion of an amortized payment for a constant
/// interest rate and regular payments. The interest payment is the interest
/// rate multiplied by the balance at the beginning of the period. The
/// parameters are:
///
/// •Rate: The periodic interest rate.
///
/// •Period: The period for which the interest payment is computed.
///
/// •Nper: The total number of periods for which the payments are made
///
/// •PV: The present value (e.g. The initial loan amount).
///
/// •FV: The future value (optional) at the end of the periods. Zero if
/// omitted.
///
/// •Type: the due date for the payments (optional). Zero if omitted. If Type
/// is 1, then payments are made at the beginning of each period. If Type is 0,
/// then payments are made at the end of each period.
///
/// __See also__: [crate::of::ppmt()], [crate::of::pmt()], [crate::of::ipmt()], [crate::of::ipmt__()],
#[inline]
pub fn ipmt_<A: Number, B: Number, C: Number, D: Number, E: Number>(rate: A, period: B, nper: C, p_v: D, f_v: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("IPMT", rate, period, nper, p_v, f_v)
}
/// Returns the amount of an annuity payment going towards interest.
///
/// [documentfoundation->IPMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/IPMT)
///
/// __Syntax__:
/// ```ods
/// IPMT( Rate: Number; Period: Number; Nper: Number; PV: Number; FV: Number; Type: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the interest portion of an amortized payment for a constant
/// interest rate and regular payments. The interest payment is the interest
/// rate multiplied by the balance at the beginning of the period. The
/// parameters are:
///
/// •Rate: The periodic interest rate.
///
/// •Period: The period for which the interest payment is computed.
///
/// •Nper: The total number of periods for which the payments are made
///
/// •PV: The present value (e.g. The initial loan amount).
///
/// •FV: The future value (optional) at the end of the periods. Zero if
/// omitted.
///
/// •Type: the due date for the payments (optional). Zero if omitted. If Type
/// is 1, then payments are made at the beginning of each period. If Type is 0,
/// then payments are made at the end of each period.
///
/// __See also__: [crate::of::ppmt()], [crate::of::pmt()], [crate::of::ipmt()], [crate::of::ipmt_()],
#[inline]
pub fn ipmt__<A: Number, B: Number, C: Number, D: Number, E: Number, F: Number>(rate: A, period: B, nper: C, p_v: D, f_v: E, type_: F) -> FnNumber6<A, B, C, D, E, F> {
FnNumber6("IPMT", rate, period, nper, p_v, f_v, type_)
}
/// Compute the internal rate of return for a series of cash flows.
///
/// [documentfoundation->IRR](https://wiki.documentfoundation.org/Documentation/Calc_Functions/IRR)
///
/// __Syntax__:
/// ```ods
/// IRR( Values: NumberSequence )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Compute the internal rate of return for a series of cash flows.
///
/// If provided, Guess is an estimate of the interest rate to start the
/// iterative computation. If omitted, the value 0.1 (10%) is assumed.
///
/// The result of IRR is the rate at which the NPV() function will return zero
/// with the given values.
///
/// There is no closed form for IRR. Evaluators may return an approximate
/// solution using an iterative method, in which case the Guess parameter may
/// be used to initialize the iteration. If the evaluator is unable to converge
/// on a solution given a particular Guess, it may return an Error.
///
/// __See also__: [crate::of::npv()], [crate::of::rate()], [crate::of::irr_()],
#[inline]
pub fn irr<A: Sequence>(values: A) -> FnNumber1<A> {
FnNumber1("IRR", values)
}
/// Compute the internal rate of return for a series of cash flows.
///
/// [documentfoundation->IRR](https://wiki.documentfoundation.org/Documentation/Calc_Functions/IRR)
///
/// __Syntax__:
/// ```ods
/// IRR( Values: NumberSequence; Guess: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Compute the internal rate of return for a series of cash flows.
///
/// If provided, Guess is an estimate of the interest rate to start the
/// iterative computation. If omitted, the value 0.1 (10%) is assumed.
///
/// The result of IRR is the rate at which the NPV() function will return zero
/// with the given values.
///
/// There is no closed form for IRR. Evaluators may return an approximate
/// solution using an iterative method, in which case the Guess parameter may
/// be used to initialize the iteration. If the evaluator is unable to converge
/// on a solution given a particular Guess, it may return an Error.
///
/// __See also__: [crate::of::npv()], [crate::of::rate()], [crate::of::irr()],
#[inline]
pub fn irr_<A: Sequence, B: Number>(values: A, guess: B) -> FnNumber2<A, B> {
FnNumber2("IRR", values, guess)
}
/// Compute the interest payment of an amortized loan for a given period.
///
/// [documentfoundation->ISPMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ISPMT)
///
/// __Syntax__:
/// ```ods
/// ISPMT( Rate: Number; Period: Number; Nper: Number; Pv: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the interest payment of an amortized loan for a given period. The
/// parameters are:
///
/// •Rate: the interest rate per period.
///
/// •Period: the period for which the interest is computed
///
/// •Nper: the total number of payment periods.
///
/// •Pv: the amount of the investment
///
/// __See also__: [crate::of::pv()], [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::rate()],
#[inline]
pub fn ispmt<A: Number, B: Number, C: Number, D: Number>(rate: A, period: B, nper: C, pv: D) -> FnNumber4<A, B, C, D> {
FnNumber4("ISPMT", rate, period, nper, pv)
}
/// Returns the modified Macaulay duration of a fixed interest security in
/// years.
///
/// [documentfoundation->MDURATION](https://wiki.documentfoundation.org/Documentation/Calc_Functions/MDURATION)
///
/// __Syntax__:
/// ```ods
/// MDURATION( Settlement: Date; Maturity: Date; Coupon: Number; Yield: Number; Frequency: Number )
/// ```
///
/// __Constraints__:
/// Yield ≥ 0, Coupon ≥ 0, Settlement ≤ Maturity; Frequency = 1, 2, 4
///
/// __Semantics__:
/// Computes the modified Macaulay duration, given:
///
/// •Settlement: the date of purchase of the security
///
/// •Maturity: the date when the security matures
///
/// •Coupon: the annual nominal rate of interest
///
/// •Yield: the annual yield of the security
///
/// •Frequency: number of interest payments per year
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// The modified duration is computed as follows:
///
/// __See also__: [crate::of::duration()], [crate::of::mduration_()],
#[inline]
pub fn mduration<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, coupon: C, yield_: D, frequency: Frequency) -> FnNumber5<A, B, C, D, Frequency> {
FnNumber5("MDURATION", settlement, maturity, coupon, yield_, frequency)
}
/// Returns the modified Macaulay duration of a fixed interest security in
/// years.
///
/// [documentfoundation->MDURATION](https://wiki.documentfoundation.org/Documentation/Calc_Functions/MDURATION)
///
/// __Syntax__:
/// ```ods
/// MDURATION( Settlement: Date; Maturity: Date; Coupon: Number; Yield: Number; Frequency: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Yield ≥ 0, Coupon ≥ 0, Settlement ≤ Maturity; Frequency = 1, 2, 4
///
/// __Semantics__:
/// Computes the modified Macaulay duration, given:
///
/// •Settlement: the date of purchase of the security
///
/// •Maturity: the date when the security matures
///
/// •Coupon: the annual nominal rate of interest
///
/// •Yield: the annual yield of the security
///
/// •Frequency: number of interest payments per year
///
/// •B: Indicates the day-count convention to use in the calculation. 4.11.7
///
/// The modified duration is computed as follows:
///
/// __See also__: [crate::of::duration()], [crate::of::mduration()],
#[inline]
pub fn mduration_<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, coupon: C, yield_: D, frequency: Frequency, b: YearFracMethod) -> FnNumber6<A, B, C, D, Frequency, YearFracMethod> {
FnNumber6("MDURATION", settlement, maturity, coupon, yield_, frequency, b)
}
/// Returns the modified internal rate of return (IRR) of a series of periodic
/// investments.
///
/// [documentfoundation->MIRR](https://wiki.documentfoundation.org/Documentation/Calc_Functions/MIRR)
///
/// __Syntax__:
/// ```ods
/// MIRR( Values: Array; Investment: Number; ReinvestRate: Number )
/// ```
///
/// __Constraints__:
/// Values shall contain at least one positive value and at least one negative
/// value.
///
/// __Semantics__:
/// Values is a series of periodic income (positive values) and payments
/// (negative values) at regular intervals (Text and Empty cells are ignored).
/// Investment is the rate of interest of the payments (negative values);
/// ReinvestRate is the rate of interest of the reinvestment (positive values).
///
/// Computes the modified internal rate of return, which is:
///
/// where N is the number of incomes and payments in Values (total).
///
/// __See also__: [crate::of::irr()], [crate::of::npv()],
#[inline]
pub fn mirr<A: Array, B: Number, C: Number>(values: A, investment: B, reinvest_rate: C) -> FnNumber3<A, B, C> {
FnNumber3("MIRR", values, investment, reinvest_rate)
}
/// Compute the annual nominal interest rate.
///
/// [documentfoundation->NOMINAL](https://wiki.documentfoundation.org/Documentation/Calc_Functions/NOMINAL)
///
/// __Syntax__:
/// ```ods
/// NOMINAL( EffectiveRate: Number; CompoundingPeriods: Integer )
/// ```
///
/// __Constraints__:
/// EffectiveRate > 0 , CompoundingPeriods > 0
///
/// __Semantics__:
/// Returns the annual nominal interest rate based on the effective rate and
/// the number of compounding periods in one year. The parameters are:
///
/// •EffectiveRate: effective rate
///
/// •CompoundingPeriods: the compounding periods per year
///
/// Suppose that P is the present value, m is the compounding periods per year,
/// the future value after one year is
///
/// The mapping between nominal rate and effective rate is
///
/// __See also__: [crate::of::effect()],
#[inline]
pub fn nominal<A: Number, B: Number>(effective_rate: A, compounding_periods: B) -> FnNumber2<A, B> {
FnNumber2("NOMINAL", effective_rate, compounding_periods)
}
/// Compute the number of payment periods for an investment.
///
/// [documentfoundation->NPER](https://wiki.documentfoundation.org/Documentation/Calc_Functions/NPER)
///
/// __Syntax__:
/// ```ods
/// NPER( Rate: Number; Payment: Number; Pv: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the number of payment periods for an investment. The parameters
/// are:
///
/// •Rate: the constant interest rate.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// If Rate is 0, then NPER solves this equation:
///
/// ** Some equitation **
///
/// If Rate is non-zero, then NPER solves this equation:
///
/// ** Some equitation **
///
/// Evaluators claiming to support the “Medium” or “Large” set shall
/// support negative rates; evaluators only claiming to support the “Small”
/// set need not.
///
/// __See also__: [crate::of::fv()], [crate::of::rate()], [crate::of::pmt()], [crate::of::pv()], [crate::of::nper_()], [crate::of::nper__()],
#[inline]
pub fn nper<A: Number, B: Number, C: Number>(rate: A, payment: B, pv: C) -> FnNumber3<A, B, C> {
FnNumber3("NPER", rate, payment, pv)
}
/// Compute the number of payment periods for an investment.
///
/// [documentfoundation->NPER](https://wiki.documentfoundation.org/Documentation/Calc_Functions/NPER)
///
/// __Syntax__:
/// ```ods
/// NPER( Rate: Number; Payment: Number; Pv: Number; Fv: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the number of payment periods for an investment. The parameters
/// are:
///
/// •Rate: the constant interest rate.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// If Rate is 0, then NPER solves this equation:
///
/// ** Some equitation **
///
/// If Rate is non-zero, then NPER solves this equation:
///
/// ** Some equitation **
///
/// Evaluators claiming to support the “Medium” or “Large” set shall
/// support negative rates; evaluators only claiming to support the “Small”
/// set need not.
///
/// __See also__: [crate::of::fv()], [crate::of::rate()], [crate::of::pmt()], [crate::of::pv()], [crate::of::nper()], [crate::of::nper__()],
#[inline]
pub fn nper_<A: Number, B: Number, C: Number, D: Number>(rate: A, payment: B, pv: C, fv: D) -> FnNumber4<A, B, C, D> {
FnNumber4("NPER", rate, payment, pv, fv)
}
/// Compute the number of payment periods for an investment.
///
/// [documentfoundation->NPER](https://wiki.documentfoundation.org/Documentation/Calc_Functions/NPER)
///
/// __Syntax__:
/// ```ods
/// NPER( Rate: Number; Payment: Number; Pv: Number; Fv: Number; PayType: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the number of payment periods for an investment. The parameters
/// are:
///
/// •Rate: the constant interest rate.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// If Rate is 0, then NPER solves this equation:
///
/// ** Some equitation **
///
/// If Rate is non-zero, then NPER solves this equation:
///
/// ** Some equitation **
///
/// Evaluators claiming to support the “Medium” or “Large” set shall
/// support negative rates; evaluators only claiming to support the “Small”
/// set need not.
///
/// __See also__: [crate::of::fv()], [crate::of::rate()], [crate::of::pmt()], [crate::of::pv()], [crate::of::nper()], [crate::of::nper_()],
#[inline]
pub fn nper__<A: Number, B: Number, C: Number, D: Number>(rate: A, payment: B, pv: C, fv: D, pay_type: PayType) -> FnNumber5<A, B, C, D, PayType> {
FnNumber5("NPER", rate, payment, pv, fv, pay_type)
}
/// Compute the net present value (NPV) for a series of periodic cash flows.
///
/// [documentfoundation->NPV](https://wiki.documentfoundation.org/Documentation/Calc_Functions/NPV)
///
/// __Syntax__:
/// ```ods
/// NPV( Rate: Number{; Values: NumberSequenceList}+ )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the net present value for a series of periodic cash flows with the
/// discount rate Rate. Values should be positive if they are received as
/// income, and negative if the amounts are paid as outgo. Because the result
/// is affected by the order of values, evaluators shall evaluate arguments in
/// the order given and range reference and array arguments row-wise starting
/// from top left.
///
/// If N is the number of values in Values, the formula for NPV is:
///
/// __See also__: [crate::of::fv()], [crate::of::irr()], [crate::of::nper()], [crate::of::pmt()], [crate::of::pv()], [crate::of::xnpv()],
#[inline]
pub fn npv<A: Number, B: Sequence>(rate: A, values: B) -> FnNumber2<A, B> {
FnNumber2("NPV", rate, values)
}
/// Compute the value of a security per 100 currency units of face value. The
/// security has an irregular first interest date.
///
/// [documentfoundation->ODDFPRICE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODDFPRICE)
///
/// __Syntax__:
/// ```ods
/// ODDFPRICE( Settlement: DateParam; Maturity: DateParam; Issue: DateParam; First: DateParam; Rate: Number; Yield: Number; Redemption: Number; Frequency: Number )
/// ```
///
/// __Constraints__:
/// Rate, Yield, and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are
///
/// •Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Issue: the issue date of the security
///
/// •First: the first coupon date of the security
///
/// •Rate: the interest rate of the security
///
/// •Yield: the annual yield of the security
///
/// •Redemption: the redemption value per 100 currency units face value
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::oddlprice()], [crate::of::oddfyield()], [crate::of::oddfprice_()],
#[inline]
pub fn oddfprice<A: DateTime, B: DateTime, C: DateTime, D: DateTime, E: Number, F: Number, G: Number>(settlement: A, maturity: B, issue: C, first: D, rate: E, yield_: F, redemption: G, frequency: Frequency) -> FnNumber8<A, B, C, D, E, F, G, Frequency> {
FnNumber8("ODDFPRICE", settlement, maturity, issue, first, rate, yield_, redemption, frequency)
}
/// Compute the value of a security per 100 currency units of face value. The
/// security has an irregular first interest date.
///
/// [documentfoundation->ODDFPRICE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODDFPRICE)
///
/// __Syntax__:
/// ```ods
/// ODDFPRICE( Settlement: DateParam; Maturity: DateParam; Issue: DateParam; First: DateParam; Rate: Number; Yield: Number; Redemption: Number; Frequency: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Rate, Yield, and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are
///
/// •Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Issue: the issue date of the security
///
/// •First: the first coupon date of the security
///
/// •Rate: the interest rate of the security
///
/// •Yield: the annual yield of the security
///
/// •Redemption: the redemption value per 100 currency units face value
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::oddlprice()], [crate::of::oddfyield()], [crate::of::oddfprice()],
#[inline]
pub fn oddfprice_<A: DateTime, B: DateTime, C: DateTime, D: DateTime, E: Number, F: Number, G: Number>(settlement: A, maturity: B, issue: C, first: D, rate: E, yield_: F, redemption: G, frequency: Frequency, b: YearFracMethod) -> FnNumber9<A, B, C, D, E, F, G, Frequency, YearFracMethod> {
FnNumber9("ODDFPRICE", settlement, maturity, issue, first, rate, yield_, redemption, frequency, b)
}
/// Compute the yield of a security per 100 currency units of face value. The
/// security has an irregular first interest date.
///
/// [documentfoundation->ODDFYIELD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODDFYIELD)
///
/// __Syntax__:
/// ```ods
/// ODDFYIELD( Settlement: DateParam; Maturity: DateParam; Issue: DateParam; First: DateParam; Rate: Number; Price: Number; Redemption: Number; Frequency: Number )
/// ```
///
/// __Constraints__:
/// Rate, Price, and Redemption should be greater than 0. Maturity > First >
/// Settlement > Issue.
///
/// __Semantics__:
/// The parameters are
///
/// •Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Issue: the issue date of the security
///
/// •First: the first coupon date of the security
///
/// •Rate: the interest rate of the security
///
/// •Price: the price of the security
///
/// •Redemption: the redemption value per 100 currency units face value
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::oddlyield()], [crate::of::oddfprice()], [crate::of::oddfyield_()],
#[inline]
pub fn oddfyield<A: DateTime, B: DateTime, C: DateTime, D: DateTime, E: Number, F: Number, G: Number>(settlement: A, maturity: B, issue: C, first: D, rate: E, price: F, redemption: G, frequency: Frequency) -> FnNumber8<A, B, C, D, E, F, G, Frequency> {
FnNumber8("ODDFYIELD", settlement, maturity, issue, first, rate, price, redemption, frequency)
}
/// Compute the yield of a security per 100 currency units of face value. The
/// security has an irregular first interest date.
///
/// [documentfoundation->ODDFYIELD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODDFYIELD)
///
/// __Syntax__:
/// ```ods
/// ODDFYIELD( Settlement: DateParam; Maturity: DateParam; Issue: DateParam; First: DateParam; Rate: Number; Price: Number; Redemption: Number; Frequency: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Rate, Price, and Redemption should be greater than 0. Maturity > First >
/// Settlement > Issue.
///
/// __Semantics__:
/// The parameters are
///
/// •Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Issue: the issue date of the security
///
/// •First: the first coupon date of the security
///
/// •Rate: the interest rate of the security
///
/// •Price: the price of the security
///
/// •Redemption: the redemption value per 100 currency units face value
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::oddlyield()], [crate::of::oddfprice()], [crate::of::oddfyield()],
#[inline]
pub fn oddfyield_<A: DateTime, B: DateTime, C: DateTime, D: DateTime, E: Number, F: Number, G: Number>(settlement: A, maturity: B, issue: C, first: D, rate: E, price: F, redemption: G, frequency: Frequency, b: YearFracMethod) -> FnNumber9<A, B, C, D, E, F, G, Frequency, YearFracMethod> {
FnNumber9("ODDFYIELD", settlement, maturity, issue, first, rate, price, redemption, frequency, b)
}
/// Compute the value of a security per 100 currency units of face value. The
/// security has an irregular last interest date.
///
/// [documentfoundation->ODDLPRICE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODDLPRICE)
///
/// __Syntax__:
/// ```ods
/// ODDLPRICE( Settlement: DateParam; Maturity: DateParam; Last: DateParam; Rate: Number; AnnualYield: Number; Redemption: Number; Frequency: Number )
/// ```
///
/// __Constraints__:
/// Rate, AnnualYield, and Redemption should be greater than 0. The Maturity
/// date should be greater than the Settlement date, and the Settlement should
/// be greater than the last interest date.
///
/// __Semantics__:
/// The parameters are
///
/// •Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Last: the last interest date of the security
///
/// •Rate: the interest rate of the security
///
/// •AnnualYield: the annual yield of the security
///
/// •Redemption: the redemption value per 100 currency units face value
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::oddfprice()], [crate::of::oddlprice_()],
#[inline]
pub fn oddlprice<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number, F: Number>(settlement: A, maturity: B, last: C, rate: D, annual_yield: E, redemption: F, frequency: Frequency) -> FnNumber7<A, B, C, D, E, F, Frequency> {
FnNumber7("ODDLPRICE", settlement, maturity, last, rate, annual_yield, redemption, frequency)
}
/// Compute the value of a security per 100 currency units of face value. The
/// security has an irregular last interest date.
///
/// [documentfoundation->ODDLPRICE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODDLPRICE)
///
/// __Syntax__:
/// ```ods
/// ODDLPRICE( Settlement: DateParam; Maturity: DateParam; Last: DateParam; Rate: Number; AnnualYield: Number; Redemption: Number; Frequency: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Rate, AnnualYield, and Redemption should be greater than 0. The Maturity
/// date should be greater than the Settlement date, and the Settlement should
/// be greater than the last interest date.
///
/// __Semantics__:
/// The parameters are
///
/// •Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Last: the last interest date of the security
///
/// •Rate: the interest rate of the security
///
/// •AnnualYield: the annual yield of the security
///
/// •Redemption: the redemption value per 100 currency units face value
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::oddfprice()], [crate::of::oddlprice()],
#[inline]
pub fn oddlprice_<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number, F: Number>(settlement: A, maturity: B, last: C, rate: D, annual_yield: E, redemption: F, frequency: Frequency, b: YearFracMethod) -> FnNumber8<A, B, C, D, E, F, Frequency, YearFracMethod> {
FnNumber8("ODDLPRICE", settlement, maturity, last, rate, annual_yield, redemption, frequency, b)
}
/// Compute the yield of a security which has an irregular last interest date.
///
/// [documentfoundation->ODDLYIELD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODDLYIELD)
///
/// __Syntax__:
/// ```ods
/// ODDLYIELD( Settlement: DateParam; Maturity: DateParam; Last: DateParam; Rate: Number; Price: Number; Redemption: Number; Frequency: Number )
/// ```
///
/// __Constraints__:
/// Rate, Price, and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are
///
/// •Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Last: the last interest date of the security
///
/// •Rate: the interest rate of the security
///
/// •Price: the price of the security
///
/// •Redemption: the redemption value per 100 currency units face value
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::oddlprice()], [crate::of::oddfyield()], [crate::of::oddlyield_()],
#[inline]
pub fn oddlyield<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number, F: Number>(settlement: A, maturity: B, last: C, rate: D, price: E, redemption: F, frequency: Frequency) -> FnNumber7<A, B, C, D, E, F, Frequency> {
FnNumber7("ODDLYIELD", settlement, maturity, last, rate, price, redemption, frequency)
}
/// Compute the yield of a security which has an irregular last interest date.
///
/// [documentfoundation->ODDLYIELD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODDLYIELD)
///
/// __Syntax__:
/// ```ods
/// ODDLYIELD( Settlement: DateParam; Maturity: DateParam; Last: DateParam; Rate: Number; Price: Number; Redemption: Number; Frequency: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Rate, Price, and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are
///
/// •Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Last: the last interest date of the security
///
/// •Rate: the interest rate of the security
///
/// •Price: the price of the security
///
/// •Redemption: the redemption value per 100 currency units face value
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::oddlprice()], [crate::of::oddfyield()], [crate::of::oddlyield()],
#[inline]
pub fn oddlyield_<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number, F: Number>(settlement: A, maturity: B, last: C, rate: D, price: E, redemption: F, frequency: Frequency, b: YearFracMethod) -> FnNumber8<A, B, C, D, E, F, Frequency, YearFracMethod> {
FnNumber8("ODDLYIELD", settlement, maturity, last, rate, price, redemption, frequency, b)
}
/// Returns the number of periods required by an investment to realize a
/// specified value.
///
/// [documentfoundation->PDURATION](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PDURATION)
///
/// __Syntax__:
/// ```ods
/// PDURATION( Rate: Number; CurrentValue: Number; SpecifiedValue: Number )
/// ```
///
/// __Constraints__:
/// Rate > 0; CurrentValue > 0; SpecifiedValue > 0
///
/// __Semantics__:
/// Calculates the number of periods for attaining a certain value
/// SpecifiedValue, starting from CurrentValue and using the interest rate
/// Rate.
///
/// •Rate: The interest rate per period.
///
/// •CurrentValue: The current value of the investment.
///
/// •SpecifiedValue: The value, that should be reached.
///
/// __See also__: [crate::of::duration()],
#[inline]
pub fn pduration<A: Number, B: Number, C: Number>(rate: A, current_value: B, specified_value: C) -> FnNumber3<A, B, C> {
FnNumber3("PDURATION", rate, current_value, specified_value)
}
/// Compute the payment made each period for an investment.
///
/// [documentfoundation->PMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PMT)
///
/// __Syntax__:
/// ```ods
/// PMT( Rate: Number; Nper: Integer; Pv: Number )
/// ```
///
/// __Constraints__:
/// Nper > 0
///
/// __Semantics__:
/// Computes the payment made each period for an investment. The parameters
/// are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value of the investment; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
/// With PayType = 1 the first payment is made on the same day the loan is
/// taken out.
///
/// If Rate is 0, the following equation is solved:
///
/// If Rate is nonzero, then PMT solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pv()], [crate::of::rate()], [crate::of::pmt_()], [crate::of::pmt__()],
#[inline]
pub fn pmt<A: Number, B: Number, C: Number>(rate: A, nper: B, pv: C) -> FnNumber3<A, B, C> {
FnNumber3("PMT", rate, nper, pv)
}
/// Compute the payment made each period for an investment.
///
/// [documentfoundation->PMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PMT)
///
/// __Syntax__:
/// ```ods
/// PMT( Rate: Number; Nper: Integer; Pv: Number; Fv: Number )
/// ```
///
/// __Constraints__:
/// Nper > 0
///
/// __Semantics__:
/// Computes the payment made each period for an investment. The parameters
/// are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value of the investment; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
/// With PayType = 1 the first payment is made on the same day the loan is
/// taken out.
///
/// If Rate is 0, the following equation is solved:
///
/// If Rate is nonzero, then PMT solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pv()], [crate::of::rate()], [crate::of::pmt()], [crate::of::pmt__()],
#[inline]
pub fn pmt_<A: Number, B: Number, C: Number, D: Number>(rate: A, nper: B, pv: C, fv: D) -> FnNumber4<A, B, C, D> {
FnNumber4("PMT", rate, nper, pv, fv)
}
/// Compute the payment made each period for an investment.
///
/// [documentfoundation->PMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PMT)
///
/// __Syntax__:
/// ```ods
/// PMT( Rate: Number; Nper: Integer; Pv: Number; Fv: Number; PayType: Number )
/// ```
///
/// __Constraints__:
/// Nper > 0
///
/// __Semantics__:
/// Computes the payment made each period for an investment. The parameters
/// are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value of the investment; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
/// With PayType = 1 the first payment is made on the same day the loan is
/// taken out.
///
/// If Rate is 0, the following equation is solved:
///
/// If Rate is nonzero, then PMT solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pv()], [crate::of::rate()], [crate::of::pmt()], [crate::of::pmt_()],
#[inline]
pub fn pmt__<A: Number, B: Number, C: Number, D: Number, E: Number>(rate: A, nper: B, pv: C, fv: D, pay_type: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("PMT", rate, nper, pv, fv, pay_type)
}
/// Calculate the payment for a given period on the principal for an investment
/// at a given interest rate and constant payments.
///
/// [documentfoundation->PPMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PPMT)
///
/// __Syntax__:
/// ```ods
/// PPMT( Rate: Number; Period: Integer; Nper: Integer; Present: Number )
/// ```
///
/// __Constraints__:
/// Rate and Present should be greater than 0. 0 < Period < Nper.
///
/// __Semantics__:
/// The parameters are:
///
/// •Rate: the interest rate.
///
/// •Period: the given period that the payment returned is for.
///
/// •Nper: the total number of periods.
///
/// •Present: the present value.
///
/// •Future: optional, the future value specified after Nper periods. The
/// default value is 0.
///
/// •Type: optional, 0 or 1, respectively for payment at the end or at the
/// beginning of a period. The default value is 0.
///
/// __See also__: [crate::of::pmt()], [crate::of::ppmt_()], [crate::of::ppmt__()],
#[inline]
pub fn ppmt<A: Number, B: Number, C: Number, D: Number>(rate: A, period: B, nper: C, present: D) -> FnNumber4<A, B, C, D> {
FnNumber4("PPMT", rate, period, nper, present)
}
/// Calculate the payment for a given period on the principal for an investment
/// at a given interest rate and constant payments.
///
/// [documentfoundation->PPMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PPMT)
///
/// __Syntax__:
/// ```ods
/// PPMT( Rate: Number; Period: Integer; Nper: Integer; Present: Number; Future: Number )
/// ```
///
/// __Constraints__:
/// Rate and Present should be greater than 0. 0 < Period < Nper.
///
/// __Semantics__:
/// The parameters are:
///
/// •Rate: the interest rate.
///
/// •Period: the given period that the payment returned is for.
///
/// •Nper: the total number of periods.
///
/// •Present: the present value.
///
/// •Future: optional, the future value specified after Nper periods. The
/// default value is 0.
///
/// •Type: optional, 0 or 1, respectively for payment at the end or at the
/// beginning of a period. The default value is 0.
///
/// __See also__: [crate::of::pmt()], [crate::of::ppmt()], [crate::of::ppmt__()],
#[inline]
pub fn ppmt_<A: Number, B: Number, C: Number, D: Number, E: Number>(rate: A, period: B, nper: C, present: D, future: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("PPMT", rate, period, nper, present, future)
}
/// Calculate the payment for a given period on the principal for an investment
/// at a given interest rate and constant payments.
///
/// [documentfoundation->PPMT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PPMT)
///
/// __Syntax__:
/// ```ods
/// PPMT( Rate: Number; Period: Integer; Nper: Integer; Present: Number; Future: Number; Type: Number )
/// ```
///
/// __Constraints__:
/// Rate and Present should be greater than 0. 0 < Period < Nper.
///
/// __Semantics__:
/// The parameters are:
///
/// •Rate: the interest rate.
///
/// •Period: the given period that the payment returned is for.
///
/// •Nper: the total number of periods.
///
/// •Present: the present value.
///
/// •Future: optional, the future value specified after Nper periods. The
/// default value is 0.
///
/// •Type: optional, 0 or 1, respectively for payment at the end or at the
/// beginning of a period. The default value is 0.
///
/// __See also__: [crate::of::pmt()], [crate::of::ppmt()], [crate::of::ppmt_()],
#[inline]
pub fn ppmt__<A: Number, B: Number, C: Number, D: Number, E: Number, F: Number>(rate: A, period: B, nper: C, present: D, future: E, type_: F) -> FnNumber6<A, B, C, D, E, F> {
FnNumber6("PPMT", rate, period, nper, present, future, type_)
}
/// Calculates a quoted price for an interest paying security, per 100 currency
/// units of face value.
///
/// [documentfoundation->PRICE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PRICE)
///
/// __Syntax__:
/// ```ods
/// PRICE( Settlement: DateParam; Maturity: DateParam; Rate: Number; AnnualYield: Number; Redemption: Number; Frequency: Number )
/// ```
///
/// __Constraints__:
/// Rate, AnnualYield, and Redemption should be greater than 0; Frequency = 1,
/// 2 or 4.
///
/// __Semantics__:
/// If A is the number of days from the Settlement date to next coupon date, B
/// is the number of days of the coupon period that the Settlement is in, C is
/// the number of coupons between Settlement date and Redemption date, D is the
/// number of days from beginning of coupon period to Settlement date, then
/// PRICE is calculated as
///
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Rate: the interest rate of the security.
///
/// •AnnualYield: a measure of the annual yield of a security (compounded at
/// each interest payment).
///
/// •Redemption: the redemption value per 100 currency units face value.
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •Bas: indicates the day-count convention to use in the calculation.
/// 4.11.7
///
/// __See also__: [crate::of::pricedisc()], [crate::of::pricemat()], [crate::of::price_()],
#[inline]
pub fn price<A: DateTime, B: DateTime, C: Number, D: Number, E: Number>(settlement: A, maturity: B, rate: C, annual_yield: D, redemption: E, frequency: Frequency) -> FnNumber6<A, B, C, D, E, Frequency> {
FnNumber6("PRICE", settlement, maturity, rate, annual_yield, redemption, frequency)
}
/// Calculates a quoted price for an interest paying security, per 100 currency
/// units of face value.
///
/// [documentfoundation->PRICE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PRICE)
///
/// __Syntax__:
/// ```ods
/// PRICE( Settlement: DateParam; Maturity: DateParam; Rate: Number; AnnualYield: Number; Redemption: Number; Frequency: Number; Bas: Basis )
/// ```
///
/// __Constraints__:
/// Rate, AnnualYield, and Redemption should be greater than 0; Frequency = 1,
/// 2 or 4.
///
/// __Semantics__:
/// If A is the number of days from the Settlement date to next coupon date, B
/// is the number of days of the coupon period that the Settlement is in, C is
/// the number of coupons between Settlement date and Redemption date, D is the
/// number of days from beginning of coupon period to Settlement date, then
/// PRICE is calculated as
///
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Rate: the interest rate of the security.
///
/// •AnnualYield: a measure of the annual yield of a security (compounded at
/// each interest payment).
///
/// •Redemption: the redemption value per 100 currency units face value.
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •Bas: indicates the day-count convention to use in the calculation.
/// 4.11.7
///
/// __See also__: [crate::of::pricedisc()], [crate::of::pricemat()], [crate::of::price()],
#[inline]
pub fn price_<A: DateTime, B: DateTime, C: Number, D: Number, E: Number>(settlement: A, maturity: B, rate: C, annual_yield: D, redemption: E, frequency: Frequency, bas: YearFracMethod) -> FnNumber7<A, B, C, D, E, Frequency, YearFracMethod> {
FnNumber7("PRICE", settlement, maturity, rate, annual_yield, redemption, frequency, bas)
}
/// Calculate the price of a security with a discount per 100 currency units of
/// face value.
///
/// [documentfoundation->PRICEDISC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PRICEDISC)
///
/// __Syntax__:
/// ```ods
/// PRICEDISC( Settlement: DateParam; Maturity: DateParam; Discount: Number; Redemption: Number )
/// ```
///
/// __Constraints__:
/// Discount and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Discount: the discount rate of the security.
///
/// •Redemption: the redemption value per 100 currency units face value.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::price()], [crate::of::pricemat()], [crate::of::yielddisc()], [crate::of::pricedisc_()],
#[inline]
pub fn pricedisc<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, discount: C, redemption: D) -> FnNumber4<A, B, C, D> {
FnNumber4("PRICEDISC", settlement, maturity, discount, redemption)
}
/// Calculate the price of a security with a discount per 100 currency units of
/// face value.
///
/// [documentfoundation->PRICEDISC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PRICEDISC)
///
/// __Syntax__:
/// ```ods
/// PRICEDISC( Settlement: DateParam; Maturity: DateParam; Discount: Number; Redemption: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Discount and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Discount: the discount rate of the security.
///
/// •Redemption: the redemption value per 100 currency units face value.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::price()], [crate::of::pricemat()], [crate::of::yielddisc()], [crate::of::pricedisc()],
#[inline]
pub fn pricedisc_<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, discount: C, redemption: D, b: YearFracMethod) -> FnNumber5<A, B, C, D, YearFracMethod> {
FnNumber5("PRICEDISC", settlement, maturity, discount, redemption, b)
}
/// Calculate the price per 100 currency units of face value of the security
/// that pays interest on the maturity date.
///
/// [documentfoundation->PRICEMAT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PRICEMAT)
///
/// __Syntax__:
/// ```ods
/// PRICEMAT( Settlement: DateParam; Maturity: DateParam; Issue: DateParam; Rate: Number; AnnualYield: Number )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity, Rate ≥ 0, AnnualYield ≥ 0
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Issue: the issue date of the security.
///
/// •Rate: the interest rate of the security.
///
/// •AnnualYield: the annual yield of the security.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// If both, Rate and AnnualYield, are 0, the return value is 100.
///
/// __See also__: [crate::of::pricedisc()], [crate::of::pricemat_()],
#[inline]
pub fn pricemat<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number>(settlement: A, maturity: B, issue: C, rate: D, annual_yield: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("PRICEMAT", settlement, maturity, issue, rate, annual_yield)
}
/// Calculate the price per 100 currency units of face value of the security
/// that pays interest on the maturity date.
///
/// [documentfoundation->PRICEMAT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PRICEMAT)
///
/// __Syntax__:
/// ```ods
/// PRICEMAT( Settlement: DateParam; Maturity: DateParam; Issue: DateParam; Rate: Number; AnnualYield: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Settlement < Maturity, Rate ≥ 0, AnnualYield ≥ 0
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Issue: the issue date of the security.
///
/// •Rate: the interest rate of the security.
///
/// •AnnualYield: the annual yield of the security.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// If both, Rate and AnnualYield, are 0, the return value is 100.
///
/// __See also__: [crate::of::pricedisc()], [crate::of::pricemat()], [crate::of::pricemat()],
#[inline]
pub fn pricemat_<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number>(settlement: A, maturity: B, issue: C, rate: D, annual_yield: E, b: YearFracMethod) -> FnNumber6<A, B, C, D, E, YearFracMethod> {
FnNumber6("PRICEMAT", settlement, maturity, issue, rate, annual_yield, b)
}
/// Compute the present value (PV) of an investment.
///
/// [documentfoundation->PV](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PV)
///
/// __Syntax__:
/// ```ods
/// PV( Rate: Number; Nper: Number; Payment: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the present value of an investment. The parameters are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// If Rate is 0, then:
///
/// If Rate is nonzero, then PV solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::rate()], [crate::of::pv_()], [crate::of::pv__()],
#[inline]
pub fn pv<A: Number, B: Number, C: Number>(rate: A, nper: B, payment: C) -> FnNumber3<A, B, C> {
FnNumber3("PV", rate, nper, payment)
}
/// Compute the present value (PV) of an investment.
///
/// [documentfoundation->PV](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PV)
///
/// __Syntax__:
/// ```ods
/// PV( Rate: Number; Nper: Number; Payment: Number; Fv: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the present value of an investment. The parameters are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// If Rate is 0, then:
///
/// If Rate is nonzero, then PV solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::rate()], [crate::of::pv()], [crate::of::pv__()],
#[inline]
pub fn pv_<A: Number, B: Number, C: Number, D: Number>(rate: A, nper: B, payment: C, fv: D) -> FnNumber4<A, B, C, D> {
FnNumber4("PV", rate, nper, payment, fv)
}
/// Compute the present value (PV) of an investment.
///
/// [documentfoundation->PV](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PV)
///
/// __Syntax__:
/// ```ods
/// PV( Rate: Number; Nper: Number; Payment: Number; Fv: Number; PayType: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Computes the present value of an investment. The parameters are:
///
/// •Rate: the interest rate per period.
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// If Rate is 0, then:
///
/// If Rate is nonzero, then PV solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::rate()], [crate::of::pv()], [crate::of::pv_()],
#[inline]
pub fn pv__<A: Number, B: Number, C: Number, D: Number, E: Number>(rate: A, nper: B, payment: C, fv: D, pay_type: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("PV", rate, nper, payment, fv, pay_type)
}
/// Compute the interest rate per period of an investment.
///
/// [documentfoundation->RATE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RATE)
///
/// __Syntax__:
/// ```ods
/// RATE( Nper: Number; Payment: Number; Pv: Number )
/// ```
///
/// __Constraints__:
/// If Nper is 0 or less than 0, the result is an Error.
///
/// __Semantics__:
/// Computes the interest rate of an investment. The parameters are:
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// •Guess: An estimate of the interest rate to start the iterative
/// computation. If omitted, 0.1 (10%) is assumed.
///
/// RATE solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::pv()], [crate::of::rate_()], [crate::of::rate__()], [crate::of::rate___()],
#[inline]
pub fn rate<A: Number, B: Number, C: Number>(nper: A, payment: B, pv: C) -> FnNumber3<A, B, C> {
FnNumber3("RATE", nper, payment, pv)
}
/// Compute the interest rate per period of an investment.
///
/// [documentfoundation->RATE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RATE)
///
/// __Syntax__:
/// ```ods
/// RATE( Nper: Number; Payment: Number; Pv: Number; Fv: Number )
/// ```
///
/// __Constraints__:
/// If Nper is 0 or less than 0, the result is an Error.
///
/// __Semantics__:
/// Computes the interest rate of an investment. The parameters are:
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// •Guess: An estimate of the interest rate to start the iterative
/// computation. If omitted, 0.1 (10%) is assumed.
///
/// RATE solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::pv()], [crate::of::rate()], [crate::of::rate__()], [crate::of::rate___()],
#[inline]
pub fn rate_<A: Number, B: Number, C: Number, D: Number>(nper: A, payment: B, pv: C, fv: D) -> FnNumber4<A, B, C, D> {
FnNumber4("RATE", nper, payment, pv, fv)
}
/// Compute the interest rate per period of an investment.
///
/// [documentfoundation->RATE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RATE)
///
/// __Syntax__:
/// ```ods
/// RATE( Nper: Number; Payment: Number; Pv: Number; Fv: Number; PayType: Number )
/// ```
///
/// __Constraints__:
/// If Nper is 0 or less than 0, the result is an Error.
///
/// __Semantics__:
/// Computes the interest rate of an investment. The parameters are:
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// •Guess: An estimate of the interest rate to start the iterative
/// computation. If omitted, 0.1 (10%) is assumed.
///
/// RATE solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::pv()], [crate::of::rate()], [crate::of::rate_()], [crate::of::rate___()],
#[inline]
pub fn rate__<A: Number, B: Number, C: Number, D: Number, E: Number>(nper: A, payment: B, pv: C, fv: D, pay_type: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("RATE", nper, payment, pv, fv, pay_type)
}
/// Compute the interest rate per period of an investment.
///
/// [documentfoundation->RATE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RATE)
///
/// __Syntax__:
/// ```ods
/// RATE( Nper: Number; Payment: Number; Pv: Number; Fv: Number; PayType: Number; Guess: Number )
/// ```
///
/// __Constraints__:
/// If Nper is 0 or less than 0, the result is an Error.
///
/// __Semantics__:
/// Computes the interest rate of an investment. The parameters are:
///
/// •Nper: the total number of payment periods.
///
/// •Payment: the payment made in each period.
///
/// •Pv: the present value of the investment.
///
/// •Fv: the future value; default is 0.
///
/// •PayType: the type of payment, defaults to 0. It is 0 if payments are due
/// at the end of the period; 1 if they are due at the beginning of the period.
///
/// •Guess: An estimate of the interest rate to start the iterative
/// computation. If omitted, 0.1 (10%) is assumed.
///
/// RATE solves this equation:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::pv()], [crate::of::rate()], [crate::of::rate_()], [crate::of::rate__()],
#[inline]
pub fn rate___<A: Number, B: Number, C: Number, D: Number, E: Number, F: Number>(nper: A, payment: B, pv: C, fv: D, pay_type: E, guess: F) -> FnNumber6<A, B, C, D, E, F> {
FnNumber6("RATE", nper, payment, pv, fv, pay_type, guess)
}
/// Calculates the amount received at maturity for a zero coupon bond.
///
/// [documentfoundation->RECEIVED](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RECEIVED)
///
/// __Syntax__:
/// ```ods
/// RECEIVED( Settlement: DateParam; Maturity: DateParam; Investment: Number; Discount: Number )
/// ```
///
/// __Constraints__:
/// Investment and Discount should be greater than 0, Settlement < Maturity
///
/// __Semantics__:
/// The parameters are:
///
/// Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Investment: the amount of investment in the security
///
/// •Discount: the discount rate of the security
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// The returned value is:
///
/// __See also__: [crate::of::yearfrac()], [crate::of::received_()],
#[inline]
pub fn received<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, investment: C, discount: D) -> FnNumber4<A, B, C, D> {
FnNumber4("RECEIVED", settlement, maturity, investment, discount)
}
/// Calculates the amount received at maturity for a zero coupon bond.
///
/// [documentfoundation->RECEIVED](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RECEIVED)
///
/// __Syntax__:
/// ```ods
/// RECEIVED( Settlement: DateParam; Maturity: DateParam; Investment: Number; Discount: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Investment and Discount should be greater than 0, Settlement < Maturity
///
/// __Semantics__:
/// The parameters are:
///
/// Settlement: the settlement/purchase date of the security
///
/// •Maturity: the maturity/expiry date of the security
///
/// •Investment: the amount of investment in the security
///
/// •Discount: the discount rate of the security
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// The returned value is:
///
/// __See also__: [crate::of::yearfrac()], [crate::of::received()],
#[inline]
pub fn received_<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, investment: C, discount: D, b: YearFracMethod) -> FnNumber5<A, B, C, D, YearFracMethod> {
FnNumber5("RECEIVED", settlement, maturity, investment, discount, b)
}
/// Returns an equivalent interest rate when an investment increases in value.
///
/// [documentfoundation->RRI](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RRI)
///
/// __Syntax__:
/// ```ods
/// RRI( Nper: Number; Pv: Number; Fv: Number )
/// ```
///
/// __Constraints__:
/// Nper > 0
///
/// __Semantics__:
/// Returns the interest rate given Nper (the number of periods), Pv (present
/// value), and Fv (future value), calculated as follows:
///
/// __See also__: [crate::of::fv()], [crate::of::nper()], [crate::of::pmt()], [crate::of::pv()], [crate::of::rate()],
#[inline]
pub fn rri<A: Number, B: Number, C: Number>(nper: A, pv: B, fv: C) -> FnNumber3<A, B, C> {
FnNumber3("RRI", nper, pv, fv)
}
/// Compute the amount of depreciation at a given period of time using the
/// straight-line depreciation method.
///
/// [documentfoundation->SLN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SLN)
///
/// __Syntax__:
/// ```ods
/// SLN( Cost: Number; Salvage: Number; LifeTime: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Compute the amount of depreciation of an asset at a given period of time
/// using straight-line depreciation. The parameters are:
///
/// •Cost: the total amount paid for the asset.
///
/// •Salvage: the salvage value at the end of the LifeTime (often 0)
///
/// •LifeTime: the number of periods that the depreciation will occur over. A
/// positive integer.
///
/// For alternative methods to compute depreciation, see DDB 6.12.14.
///
/// __See also__:
#[inline]
pub fn sln<A: Number, B: Number, C: Number>(cost: A, salvage: B, life_time: C) -> FnNumber3<A, B, C> {
FnNumber3("SLN", cost, salvage, life_time)
}
/// Compute the amount of depreciation at a given period of time using the
/// Sum-of-the-Years'-Digits method.
///
/// [documentfoundation->SYD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SYD)
///
/// __Syntax__:
/// ```ods
/// SYD( Cost: Number; Salvage: Number; LifeTime: Number; Period: Number )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// Compute the amount of depreciation of an asset at a given period of time
/// using the Sum-of-the-Years'-Digits method. The parameters are:
///
/// •Cost: the total amount paid for the asset.
///
/// •Salvage: the salvage value at the end of the LifeTime (often 0).
///
/// •LifeTime: the number of periods that the depreciation will occur over. A
/// positive integer.
///
/// •Period: the period for which the depreciation value is specified.
///
/// For other methods of computing depreciation, see DDB 6.12.14.
///
/// __See also__: [crate::of::sln()],
#[inline]
pub fn syd<A: Number, B: Number, C: Number, D: Number>(cost: A, salvage: B, life_time: C, period: D) -> FnNumber4<A, B, C, D> {
FnNumber4("SYD", cost, salvage, life_time, period)
}
/// Compute the bond-equivalent yield for a treasury bill.
///
/// [documentfoundation->TBILLEQ](https://wiki.documentfoundation.org/Documentation/Calc_Functions/TBILLEQ)
///
/// __Syntax__:
/// ```ods
/// TBILLEQ( Settlement: DateParam; Maturity: DateParam; Discount: Number )
/// ```
///
/// __Constraints__:
/// The maturity date should be less than one year beyond settlement date.
/// Discount is any positive value.
///
/// __Semantics__:
/// The parameters are defined as:
///
/// •Settlement: the settlement/purchase date of the treasury bill.
///
/// •Maturity: the maturity/expiry date of the treasury bill.
///
/// •Discount: the discount rate of the treasury bill.
///
/// TBILLEQ is calculated as
///
/// where DSM is the number of days between settlement and maturity computed
/// according to the 360 days per year basis (basis 2, 4.11.7)
///
/// __See also__: [crate::of::tbillprice()], [crate::of::tbillyield()],
#[inline]
pub fn tbilleq<A: DateTime, B: DateTime, C: Number>(settlement: A, maturity: B, discount: C) -> FnNumber3<A, B, C> {
FnNumber3("TBILLEQ", settlement, maturity, discount)
}
/// Compute the price per 100 face value for a treasury bill.
///
/// [documentfoundation->TBILLPRICE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/TBILLPRICE)
///
/// __Syntax__:
/// ```ods
/// TBILLPRICE( Settlement: DateParam; Maturity: DateParam; Discount: Number )
/// ```
///
/// __Constraints__:
/// The maturity date should be less than one year beyond settlement. Discount
/// is any positive value.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the treasury bill.
///
/// •Maturity: the maturity/expiry date of the treasury bill.
///
/// •Discount: the discount rate of the treasury bill.
///
/// __See also__: [crate::of::tbilleq()], [crate::of::tbillyield()],
#[inline]
pub fn tbillprice<A: DateTime, B: DateTime, C: Number>(settlement: A, maturity: B, discount: C) -> FnNumber3<A, B, C> {
FnNumber3("TBILLPRICE", settlement, maturity, discount)
}
/// Compute the yield for a treasury bill.
///
/// [documentfoundation->TBILLYIELD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/TBILLYIELD)
///
/// __Syntax__:
/// ```ods
/// TBILLYIELD( Settlement: DateParam; Maturity: DateParam; Price: Number )
/// ```
///
/// __Constraints__:
/// The maturity date should be less than one year beyond settlement. Price is
/// any positive value.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the treasury bill.
///
/// •Maturity: the maturity/expiry date of the treasury bill.
///
/// •Price: the price of the treasury bill per 100 face value
///
/// __See also__: [crate::of::tbilleq()], [crate::of::tbillprice()],
#[inline]
pub fn tbillyield<A: DateTime, B: DateTime, C: Number>(settlement: A, maturity: B, price: C) -> FnNumber3<A, B, C> {
FnNumber3("TBILLYIELD", settlement, maturity, price)
}
/// Calculates the depreciation allowance of an asset with an initial value, an
/// expected useful life, and a final value of salvage for a period specified,
/// using the variable-rate declining balance method..
///
/// [documentfoundation->VDB](https://wiki.documentfoundation.org/Documentation/Calc_Functions/VDB)
///
/// __Syntax__:
/// ```ods
/// VDB( Cost: Number; Salvage: Number; LifeTime: Number; StartPeriod: Number; EndPeriod: Number )
/// ```
///
/// __Constraints__:
/// Salvage < Cost, LifeTime > 0, 0 ≤ StartPeriod ≤ LifeTime, StartPeriod
/// ≤ EndPeriod ≤ LifeTime, DepreciationFactor ≥ 0
///
/// __Semantics__:
/// The parameters are:
///
/// •Cost is the amount paid for the asset. Cost can be any value greater
/// than Salvage.
///
/// •Salvage is the value of the asset at the end of its life. Salvage can be
/// any value.
///
/// •LifeTime is the number of periods the asset takes to depreciate to its
/// salvage value. LifeTime can be any value greater than 0.
///
/// •StartPeriod is the point in the asset's life when you want to begin
/// calculating depreciation. StartPeriod can be any value greater than or
/// equal to 0, but cannot be greater than LifeTime.
///
/// •EndPeriod is the point in the asset's life when you want to stop
/// calculating depreciation. EndPeriod can be any value greater than
/// StartPeriod.
///
/// •StartPeriod and EndPeriod correspond to the asset's life, relative to
/// the fiscal period. For example, if you want to find the first year's
/// depreciation of an asset purchased at the beginning of the second quarter
/// of a fiscal year, StartPeriod would be 0 and EndPeriod would be 0.75 (1
/// minus 0.25 of a year).
///
/// VDB allows for the use of an initialPeriod option to calculate depreciation
/// for the period the asset is placed in service. VDB uses the fractional part
/// of StartPeriod and EndPeriod to determine the initialPeriod option. If both
/// StartPeriod and EndPeriod have fractional parts, then VDB uses the
/// fractional part of StartPeriod.
///
/// DepreciationFactor is an optional argument that specifies the percentage of
/// straight-line depreciation you want to use as the depreciation rate. If you
/// omit this argument, VDB uses 2, which is the double-declining balance rate.
/// DepreciationFactor can be any value greater than or equal to 0; commonly
/// used rates are 1.25, 1.50, 1.75, and 2.
///
/// NoSwitch is an optional argument that you include if you do not want VDB to
/// switch to straight-line depreciation for the remaining useful life.
/// Normally, declining-balance switches to such a straight-line calculation
/// when it is greater than the declining-balance calculation.
///
/// If NoSwitch is FALSE or omitted, VDB automatically switches to
/// straight-line depreciation when that is greater than declining-balance
/// depreciation. If NoSwitch is TRUE, VDB never switches to straight-line
/// depreciation.
///
/// __See also__: [crate::of::ddb()], [crate::of::sln()], [crate::of::vdb_()], [crate::of::vdb__()],
#[inline]
pub fn vdb<A: Number, B: Number, C: Number, D: Number, E: Number>(cost: A, salvage: B, life_time: C, start_period: D, end_period: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("VDB", cost, salvage, life_time, start_period, end_period)
}
/// Calculates the depreciation allowance of an asset with an initial value, an
/// expected useful life, and a final value of salvage for a period specified,
/// using the variable-rate declining balance method..
///
/// [documentfoundation->VDB](https://wiki.documentfoundation.org/Documentation/Calc_Functions/VDB)
///
/// __Syntax__:
/// ```ods
/// VDB( Cost: Number; Salvage: Number; LifeTime: Number; StartPeriod: Number; EndPeriod: Number; DepreciationFactor: Number )
/// ```
///
/// __Constraints__:
/// Salvage < Cost, LifeTime > 0, 0 ≤ StartPeriod ≤ LifeTime, StartPeriod
/// ≤ EndPeriod ≤ LifeTime, DepreciationFactor ≥ 0
///
/// __Semantics__:
/// The parameters are:
///
/// •Cost is the amount paid for the asset. Cost can be any value greater
/// than Salvage.
///
/// •Salvage is the value of the asset at the end of its life. Salvage can be
/// any value.
///
/// •LifeTime is the number of periods the asset takes to depreciate to its
/// salvage value. LifeTime can be any value greater than 0.
///
/// •StartPeriod is the point in the asset's life when you want to begin
/// calculating depreciation. StartPeriod can be any value greater than or
/// equal to 0, but cannot be greater than LifeTime.
///
/// •EndPeriod is the point in the asset's life when you want to stop
/// calculating depreciation. EndPeriod can be any value greater than
/// StartPeriod.
///
/// •StartPeriod and EndPeriod correspond to the asset's life, relative to
/// the fiscal period. For example, if you want to find the first year's
/// depreciation of an asset purchased at the beginning of the second quarter
/// of a fiscal year, StartPeriod would be 0 and EndPeriod would be 0.75 (1
/// minus 0.25 of a year).
///
/// VDB allows for the use of an initialPeriod option to calculate depreciation
/// for the period the asset is placed in service. VDB uses the fractional part
/// of StartPeriod and EndPeriod to determine the initialPeriod option. If both
/// StartPeriod and EndPeriod have fractional parts, then VDB uses the
/// fractional part of StartPeriod.
///
/// DepreciationFactor is an optional argument that specifies the percentage of
/// straight-line depreciation you want to use as the depreciation rate. If you
/// omit this argument, VDB uses 2, which is the double-declining balance rate.
/// DepreciationFactor can be any value greater than or equal to 0; commonly
/// used rates are 1.25, 1.50, 1.75, and 2.
///
/// NoSwitch is an optional argument that you include if you do not want VDB to
/// switch to straight-line depreciation for the remaining useful life.
/// Normally, declining-balance switches to such a straight-line calculation
/// when it is greater than the declining-balance calculation.
///
/// If NoSwitch is FALSE or omitted, VDB automatically switches to
/// straight-line depreciation when that is greater than declining-balance
/// depreciation. If NoSwitch is TRUE, VDB never switches to straight-line
/// depreciation.
///
/// __See also__: [crate::of::ddb()], [crate::of::sln()], [crate::of::vdb()], [crate::of::vdb__()],
#[inline]
pub fn vdb_<A: Number, B: Number, C: Number, D: Number, E: Number, F: Number>(cost: A, salvage: B, life_time: C, start_period: D, end_period: E, depreciation_factor: F) -> FnNumber6<A, B, C, D, E, F> {
FnNumber6("VDB", cost, salvage, life_time, start_period, end_period, depreciation_factor)
}
/// Calculates the depreciation allowance of an asset with an initial value, an
/// expected useful life, and a final value of salvage for a period specified,
/// using the variable-rate declining balance method..
///
/// [documentfoundation->VDB](https://wiki.documentfoundation.org/Documentation/Calc_Functions/VDB)
///
/// __Syntax__:
/// ```ods
/// VDB( Cost: Number; Salvage: Number; LifeTime: Number; StartPeriod: Number; EndPeriod: Number; DepreciationFactor: Number; NoSwitch: Logical )
/// ```
///
/// __Constraints__:
/// Salvage < Cost, LifeTime > 0, 0 ≤ StartPeriod ≤ LifeTime, StartPeriod
/// ≤ EndPeriod ≤ LifeTime, DepreciationFactor ≥ 0
///
/// __Semantics__:
/// The parameters are:
///
/// •Cost is the amount paid for the asset. Cost can be any value greater
/// than Salvage.
///
/// •Salvage is the value of the asset at the end of its life. Salvage can be
/// any value.
///
/// •LifeTime is the number of periods the asset takes to depreciate to its
/// salvage value. LifeTime can be any value greater than 0.
///
/// •StartPeriod is the point in the asset's life when you want to begin
/// calculating depreciation. StartPeriod can be any value greater than or
/// equal to 0, but cannot be greater than LifeTime.
///
/// •EndPeriod is the point in the asset's life when you want to stop
/// calculating depreciation. EndPeriod can be any value greater than
/// StartPeriod.
///
/// •StartPeriod and EndPeriod correspond to the asset's life, relative to
/// the fiscal period. For example, if you want to find the first year's
/// depreciation of an asset purchased at the beginning of the second quarter
/// of a fiscal year, StartPeriod would be 0 and EndPeriod would be 0.75 (1
/// minus 0.25 of a year).
///
/// VDB allows for the use of an initialPeriod option to calculate depreciation
/// for the period the asset is placed in service. VDB uses the fractional part
/// of StartPeriod and EndPeriod to determine the initialPeriod option. If both
/// StartPeriod and EndPeriod have fractional parts, then VDB uses the
/// fractional part of StartPeriod.
///
/// DepreciationFactor is an optional argument that specifies the percentage of
/// straight-line depreciation you want to use as the depreciation rate. If you
/// omit this argument, VDB uses 2, which is the double-declining balance rate.
/// DepreciationFactor can be any value greater than or equal to 0; commonly
/// used rates are 1.25, 1.50, 1.75, and 2.
///
/// NoSwitch is an optional argument that you include if you do not want VDB to
/// switch to straight-line depreciation for the remaining useful life.
/// Normally, declining-balance switches to such a straight-line calculation
/// when it is greater than the declining-balance calculation.
///
/// If NoSwitch is FALSE or omitted, VDB automatically switches to
/// straight-line depreciation when that is greater than declining-balance
/// depreciation. If NoSwitch is TRUE, VDB never switches to straight-line
/// depreciation.
///
/// __See also__: [crate::of::ddb()], [crate::of::sln()], [crate::of::vdb()], [crate::of::vdb_()],
#[inline]
pub fn vdb__<A: Number, B: Number, C: Number, D: Number, E: Number, F: Number, G: Logical>(cost: A, salvage: B, life_time: C, start_period: D, end_period: E, depreciation_factor: F, no_switch: G) -> FnNumber7<A, B, C, D, E, F, G> {
FnNumber7("VDB", cost, salvage, life_time, start_period, end_period, depreciation_factor, no_switch)
}
/// Compute the internal rate of return for a non-periodic series of cash
/// flows.
///
/// [documentfoundation->XIRR](https://wiki.documentfoundation.org/Documentation/Calc_Functions/XIRR)
///
/// __Syntax__:
/// ```ods
/// XIRR( Values: NumberSequence; Dates: DateSequence )
/// ```
///
/// __Constraints__:
/// The size of Values and Dates are equal. Values contains at least one
/// positive and one negative cash flow.
///
/// __Semantics__:
/// Compute the internal rate of return for a series of cash flows which is not
/// necessarily periodic. The parameters are:
///
/// •Values: a series of cash flows. The first cash-flow amount is a negative
/// number that represents the investment. The later cash flows are discounted
/// based on the annual discount rate and the timing of the flow. The series of
/// cash flow should contain at least one positive and one negative value.
///
/// •Dates: a series of dates that corresponds to values. The first date
/// indicates the start of the cash flows. The range of Values and Dates shall
/// be the same size.
///
/// •Guess: If provided, Guess is an estimate of the interest rate to start
/// the iterative computation. If omitted, the value 0.1 (10%) is assumed. The
/// result of XIRR is the rate at which the XNPV() function will return zero
/// with the given cash flows. There is no closed form for XIRR.
/// Implementations may return an approximate solution using an iterative
/// method, in which case the Guess parameter may be used to initialize the
/// iteration. If the implementation is unable to converge on a solution given
/// a particular Guess, it may return an error.
///
/// __See also__: [crate::of::irr()], [crate::of::xnpv()], [crate::of::xirr_()],
#[inline]
pub fn xirr<A: Sequence, B: Sequence>(values: A, dates: B) -> FnNumber2<A, B> {
FnNumber2("XIRR", values, dates)
}
/// Compute the internal rate of return for a non-periodic series of cash
/// flows.
///
/// [documentfoundation->XIRR](https://wiki.documentfoundation.org/Documentation/Calc_Functions/XIRR)
///
/// __Syntax__:
/// ```ods
/// XIRR( Values: NumberSequence; Dates: DateSequence; Guess: Number )
/// ```
///
/// __Constraints__:
/// The size of Values and Dates are equal. Values contains at least one
/// positive and one negative cash flow.
///
/// __Semantics__:
/// Compute the internal rate of return for a series of cash flows which is not
/// necessarily periodic. The parameters are:
///
/// •Values: a series of cash flows. The first cash-flow amount is a negative
/// number that represents the investment. The later cash flows are discounted
/// based on the annual discount rate and the timing of the flow. The series of
/// cash flow should contain at least one positive and one negative value.
///
/// •Dates: a series of dates that corresponds to values. The first date
/// indicates the start of the cash flows. The range of Values and Dates shall
/// be the same size.
///
/// •Guess: If provided, Guess is an estimate of the interest rate to start
/// the iterative computation. If omitted, the value 0.1 (10%) is assumed. The
/// result of XIRR is the rate at which the XNPV() function will return zero
/// with the given cash flows. There is no closed form for XIRR.
/// Implementations may return an approximate solution using an iterative
/// method, in which case the Guess parameter may be used to initialize the
/// iteration. If the implementation is unable to converge on a solution given
/// a particular Guess, it may return an error.
///
/// __See also__: [crate::of::irr()], [crate::of::xnpv()], [crate::of::xirr()],
#[inline]
pub fn xirr_<A: Sequence, B: Sequence, C: Number>(values: A, dates: B, guess: C) -> FnNumber3<A, B, C> {
FnNumber3("XIRR", values, dates, guess)
}
/// Compute the net present value of a series of cash flows.
///
/// [documentfoundation->XNPV](https://wiki.documentfoundation.org/Documentation/Calc_Functions/XNPV)
///
/// __Syntax__:
/// ```ods
/// XNPV( Rate: Number; Values: Reference|Array; Dates: Reference|Array )
/// ```
///
/// __Constraints__:
///
/// Number of elements in Values equals number of elements in Dates.
///
/// All elements of Values are of type Number.
///
/// All elements of Dates are of type Number.
///
/// All elements of Dates ≥ Dates\[1\]
///
/// __Semantics__:
/// Compute the net present value for a series of cash flows which is not
/// necessarily periodic. The parameters are:
///
/// •Rate: discount rate. The value should be greater than -1.
///
/// •Values: a series of cash flows. The first cash-flow amount is a negative
/// number that represents the investment. The later cash flows are discounted
/// based on the annual discount rate and the timing of the flow. The series of
/// cash flow should contain at least one positive and one negative value.
///
/// •Dates: a series of dates that corresponds to values. The first date
/// indicates the start of the cash flows. If the dimensions of the Values and
/// Dates arrays differ, evaluators shall match value and date pairs row-wise
/// starting from top left.
///
/// With N being the number of elements in Values and Dates each, the formula
/// is:
///
/// __See also__: [crate::of::npv()],
#[inline]
pub fn xnpv<A: Number, B: ReferenceOrArray, C: ReferenceOrArray>(rate: A, values: B, dates: C) -> FnNumber3<A, B, C> {
FnNumber3("XNPV", rate, values, dates)
}
/// Calculate the yield of a bond.
///
/// [documentfoundation->YIELD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/YIELD)
///
/// __Syntax__:
/// ```ods
/// YIELD( Settlement: DateParam; Maturity: DateParam; Rate: Number; Price: Number; Redemption: Number; Frequency: Number )
/// ```
///
/// __Constraints__:
/// Rate, Price, and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the bond.
///
/// •Maturity: the maturity/expiry date of the bond.
///
/// •Rate: the interest rate of the bond.
///
/// •Price: the price of the bond per 100 currency units face value.
///
/// •Redemption: the redemption value of the bond per 100 currency units face
/// value.
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::price()], [crate::of::yielddisc()], [crate::of::yieldmat()], [crate::of::yield__()],
#[inline]
pub fn yield_<A: DateTime, B: DateTime, C: Number, D: Number, E: Number>(settlement: A, maturity: B, rate: C, price: D, redemption: E, frequency: Frequency) -> FnNumber6<A, B, C, D, E, Frequency> {
FnNumber6("YIELD", settlement, maturity, rate, price, redemption, frequency)
}
/// Calculate the yield of a bond.
///
/// [documentfoundation->YIELD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/YIELD)
///
/// __Syntax__:
/// ```ods
/// YIELD( Settlement: DateParam; Maturity: DateParam; Rate: Number; Price: Number; Redemption: Number; Frequency: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Rate, Price, and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the bond.
///
/// •Maturity: the maturity/expiry date of the bond.
///
/// •Rate: the interest rate of the bond.
///
/// •Price: the price of the bond per 100 currency units face value.
///
/// •Redemption: the redemption value of the bond per 100 currency units face
/// value.
///
/// •Frequency: the number of interest payments per year. 1 = annual; 2 =
/// semiannual; 4 = quarterly.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::price()], [crate::of::yielddisc()], [crate::of::yieldmat()], [crate::of::yield_()],
#[inline]
pub fn yield__<A: DateTime, B: DateTime, C: Number, D: Number, E: Number>(settlement: A, maturity: B, rate: C, price: D, redemption: E, frequency: Frequency, b: YearFracMethod) -> FnNumber7<A, B, C, D, E, Frequency, YearFracMethod> {
FnNumber7("YIELD", settlement, maturity, rate, price, redemption, frequency, b)
}
/// Calculate the yield of a discounted security per 100 currency units of face
/// value.
///
/// [documentfoundation->YIELDDISC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/YIELDDISC)
///
/// __Syntax__:
/// ```ods
/// YIELDDISC( Settlement: DateParam; Maturity: DateParam; Price: Number; Redemption: Number )
/// ```
///
/// __Constraints__:
/// Price and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Price: the price of the security per 100 currency units face value.
///
/// •Redemption: the redemption value per 100 currency units face value.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// The return value is
///
/// __See also__: [crate::of::pricedisc()], [crate::of::yearfrac()], [crate::of::yielddisc_()],
#[inline]
pub fn yielddisc<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, price: C, redemption: D) -> FnNumber4<A, B, C, D> {
FnNumber4("YIELDDISC", settlement, maturity, price, redemption)
}
/// Calculate the yield of a discounted security per 100 currency units of face
/// value.
///
/// [documentfoundation->YIELDDISC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/YIELDDISC)
///
/// __Syntax__:
/// ```ods
/// YIELDDISC( Settlement: DateParam; Maturity: DateParam; Price: Number; Redemption: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Price and Redemption should be greater than 0.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Price: the price of the security per 100 currency units face value.
///
/// •Redemption: the redemption value per 100 currency units face value.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// The return value is
///
/// __See also__: [crate::of::pricedisc()], [crate::of::yearfrac()], [crate::of::yielddisc()],
#[inline]
pub fn yielddisc_<A: DateTime, B: DateTime, C: Number, D: Number>(settlement: A, maturity: B, price: C, redemption: D, b: YearFracMethod) -> FnNumber5<A, B, C, D, YearFracMethod> {
FnNumber5("YIELDDISC", settlement, maturity, price, redemption, b)
}
/// Calculate the yield of the security that pays interest on the maturity
/// date.
///
/// [documentfoundation->YIELDMAT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/YIELDMAT)
///
/// __Syntax__:
/// ```ods
/// YIELDMAT( Settlement: DateParam; Maturity: DateParam; Issue: DateParam; Rate: Number; Price: Number )
/// ```
///
/// __Constraints__:
/// Rate and Price should be greater than 0.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Issue: the issue date of the security.
///
/// •Rate: the interest rate of the security.
///
/// •Price: the price of the security per 100 currency units face value.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::price()], [crate::of::yield_()], [crate::of::yielddisc()], [crate::of::yieldmat_()],
#[inline]
pub fn yieldmat<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number>(settlement: A, maturity: B, issue: C, rate: D, price: E) -> FnNumber5<A, B, C, D, E> {
FnNumber5("YIELDMAT", settlement, maturity, issue, rate, price)
}
/// Calculate the yield of the security that pays interest on the maturity
/// date.
///
/// [documentfoundation->YIELDMAT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/YIELDMAT)
///
/// __Syntax__:
/// ```ods
/// YIELDMAT( Settlement: DateParam; Maturity: DateParam; Issue: DateParam; Rate: Number; Price: Number; B: Basis )
/// ```
///
/// __Constraints__:
/// Rate and Price should be greater than 0.
///
/// __Semantics__:
/// The parameters are:
///
/// •Settlement: the settlement/purchase date of the security.
///
/// •Maturity: the maturity/expiry date of the security.
///
/// •Issue: the issue date of the security.
///
/// •Rate: the interest rate of the security.
///
/// •Price: the price of the security per 100 currency units face value.
///
/// •B: indicates the day-count convention to use in the calculation. 4.11.7
///
/// __See also__: [crate::of::price()], [crate::of::yield_()], [crate::of::yielddisc()], [crate::of::yieldmat()],
#[inline]
pub fn yieldmat_<A: DateTime, B: DateTime, C: DateTime, D: Number, E: Number>(settlement: A, maturity: B, issue: C, rate: D, price: E, b: YearFracMethod) -> FnNumber6<A, B, C, D, E, YearFracMethod> {
FnNumber6("YIELDMAT", settlement, maturity, issue, rate, price, b)
}
/// Calculates the depreciation (or amortization) of an asset during a specific
/// period using a degressive depreciation model.
///
/// This method depreciates at a higher rate at the beginning and the rate
/// decreases over the useful life of the asset. If the asset is acquired
/// part-way through an accounting period, then depreciation for that period is
/// calculated on a pro rata basis. AMORDEGRC is intended for users of the
/// French accounting system.
///
/// [documentfoundation->AMORDEGRC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/AMORDEGRC)
///
/// __Syntax__:
/// ```ods
/// AMORDEGRC( Cost: Number; Date_Purchased: Date; First_Period: Date; Salvage: Number; Period: Integer; Rate: Number )
/// ```
///
/// __Info2__:
/// Returns a non-negative real number that is the depreciation of the asset
/// during the specified period, expressed in the same currency units as the
/// asset's cost and salvage values.
///
/// __Semantics__:
///
/// Cost is a positive real number, or a reference to a cell containing that
/// number, which is the cost or value of the asset before depreciation.
/// Date Purchased is a date, or a reference to a cell containing that date,
/// which is the start date of the depreciation. For a tangible asset, this is
/// usually the date of acquisition.
/// First Period is a date, or a reference to a cell containing that date,
/// which is the end date of the first accounting period during which
/// depreciation is calculated.
/// Salvage is a positive real number, or a reference to a cell containing that
/// number, which is the residual value of the asset at the end of its
/// depreciated life. Salvage must be in the same currency units as Cost.
/// Period is a non-negative integer, or a reference to a cell containing that
/// integer, which specifies the accounting period for which the depreciation
/// value is returned. The value 0 indicates the period that ends on the date
/// given by First Period. Subsequent accounting periods are numbered 1, 2, 3,
/// and so on.
/// Rate is a positive real number (expressed as a percentage, such as 2.5%, or
/// a decimal fraction, such as 0.025), or a reference to a cell containing
/// that number, which is the annual rate at which the value of the asset is
/// depreciated.
/// Basis is an integer in the range 0 to 4, or a reference to a cell
/// containing that integer, which indicates how the year is to be calculated.
///
/// __See also__: [crate::of::amordegrc_()],
#[inline]
pub fn amordegrc<A: Number, B: DateTime, C: DateTime, D: Number, E: Number, F: Number>(cost: A, date_purchased: B, first_period: C, salvage: D, period: E, rate: F) -> FnNumber6<A, B, C, D, E, F> {
FnNumber6("AMORDEGRC", cost, date_purchased, first_period, salvage, period, rate)
}
/// Calculates the depreciation (or amortization) of an asset during a specific
/// period using a degressive depreciation model.
///
/// This method depreciates at a higher rate at the beginning and the rate
/// decreases over the useful life of the asset. If the asset is acquired
/// part-way through an accounting period, then depreciation for that period is
/// calculated on a pro rata basis. AMORDEGRC is intended for users of the
/// French accounting system.
///
/// [documentfoundation->AMORDEGRC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/AMORDEGRC)
///
/// __Syntax__:
/// ```ods
/// AMORDEGRC( Cost: Number; Date_Purchased: Date; First_Period: Date; Salvage: Number; Period: Integer; Rate: Number; B: Basis )
/// ```
///
/// __Info2__:
/// Returns a non-negative real number that is the depreciation of the asset
/// during the specified period, expressed in the same currency units as the
/// asset's cost and salvage values.
///
/// __Semantics__:
///
/// Cost is a positive real number, or a reference to a cell containing that
/// number, which is the cost or value of the asset before depreciation.
/// Date Purchased is a date, or a reference to a cell containing that date,
/// which is the start date of the depreciation. For a tangible asset, this is
/// usually the date of acquisition.
/// First Period is a date, or a reference to a cell containing that date,
/// which is the end date of the first accounting period during which
/// depreciation is calculated.
/// Salvage is a positive real number, or a reference to a cell containing that
/// number, which is the residual value of the asset at the end of its
/// depreciated life. Salvage must be in the same currency units as Cost.
/// Period is a non-negative integer, or a reference to a cell containing that
/// integer, which specifies the accounting period for which the depreciation
/// value is returned. The value 0 indicates the period that ends on the date
/// given by First Period. Subsequent accounting periods are numbered 1, 2, 3,
/// and so on.
/// Rate is a positive real number (expressed as a percentage, such as 2.5%, or
/// a decimal fraction, such as 0.025), or a reference to a cell containing
/// that number, which is the annual rate at which the value of the asset is
/// depreciated.
/// Basis is an integer in the range 0 to 4, or a reference to a cell
/// containing that integer, which indicates how the year is to be calculated.
///
/// __See also__: [crate::of::amordegrc()],
#[inline]
pub fn amordegrc_<A: Number, B: DateTime, C: DateTime, D: Number, E: Number, F: Number>(cost: A, date_purchased: B, first_period: C, salvage: D, period: E, rate: F, b: YearFracMethod) -> FnNumber7<A, B, C, D, E, F, YearFracMethod> {
FnNumber7("AMORDEGRC", cost, date_purchased, first_period, salvage, period, rate, b)
}