pub struct Inputs {
    pub option_type: OptionType,
    pub s: f64,
    pub k: f64,
    pub p: Option<f64>,
    pub r: f64,
    pub q: f64,
    pub t: f64,
    pub sigma: Option<f64>,
}
Expand description

The inputs to the Black-Scholes-Merton model.

Fields

option_type: OptionType

The type of the option (call or put)

s: f64

Stock price

k: f64

Strike price

p: Option<f64>

Option price

r: f64

Risk-free rate

q: f64

Dividend yield

t: f64

Time to maturity in years

sigma: Option<f64>

Volatility

Implementations

Methods for calculating the price, greeks, and implied volatility of an option.

Creates instance ot the Inputs struct.

Arguments
  • option_type - The type of option to be priced.
  • s - The current price of the underlying asset.
  • k - The strike price of the option.
  • p - The dividend yield of the underlying asset.
  • r - The risk-free interest rate.
  • q - The dividend yield of the underlying asset.
  • t - The time to maturity of the option in years.
  • sigma - The volatility of the underlying asset.
Example
use blackscholes::Inputs;
let inputs = Inputs::new(OptionType::Call, 100.0, 100.0, None, 0.05, 0.2, 20/365.25, Some(0.2));
Returns

An instance of the Inputs struct.

Returns

string representation of the Inputs struct.

Calculates the price of the option.

Requires

s, k, r, q, t, sigma.

Returns

f64 of the price of the option.

Example
use blackscholes::Inputs;
let inputs = Inputs::new(OptionType::Call, 100.0, 100.0, None, 0.05, 0.2, 20/365.25, Some(0.2));
let price = inputs.calc_price();

Calculates the delta of the option.

Requires

s, k, r, q, t, sigma

Returns

f64 of the delta of the option.

Example
use blackscholes::Inputs;
let inputs = Inputs::new(OptionType::Call, 100.0, 100.0, None, 0.05, 0.2, 20/365.25, Some(0.2));
let delta = inputs.calc_delta();

Calculates the gamma of the option.

Requires

s, k, r, q, t, sigma

Returns

f64 of the gamma of the option.

Example
use blackscholes::Inputs;
let inputs = Inputs::new(OptionType::Call, 100.0, 100.0, None, 0.05, 0.2, 20/365.25, Some(0.2));
let gamma = inputs.calc_gamma();

Calculates the theta of the option. Uses 365.25 days in a year for calculations.

Requires

s, k, r, q, t, sigma

Returns

f64 of theta per day (not per year).

Example
use blackscholes::Inputs;
let inputs = Inputs::new(OptionType::Call, 100.0, 100.0, None, 0.05, 0.2, 20/365.25, Some(0.2));
let theta = inputs.calc_theta();

Calculates the vega of the option.

Requires

s, k, r, q, t, sigma

Returns

f64 of the vega of the option.

Example
use blackscholes::Inputs;
let inputs = Inputs::new(OptionType::Call, 100.0, 100.0, None, 0.05, 0.2, 20/365.25, Some(0.2));
let vega = inputs.calc_vega();

Calculates the rho of the option.

Requires

s, k, r, q, t, sigma

Returns

f64 of the rho of the option.

Example
use blackscholes::Inputs;
let inputs = Inputs::new(OptionType::Call, 100.0, 100.0, None, 0.05, 0.2, 20/365.25, Some(0.2));
let rho = inputs.calc_rho();

Calculates the implied volatility of the option. Tolerance is the max error allowed for the implied volatility, the lower the tolerance the more iterations will be required. Recommended to be a value between 0.001 - 0.0001 for highest efficiency/accuracy. Initializes estimation of sigma using Brenn and Subrahmanyam (1998) method of calculating initial iv estimation. Uses Newton Raphson algorithm to calculate implied volatility.

Requires

s, k, r, q, t, p

Returns

f64 of the implied volatility of the option.

Example:
use blackscholes::Inputs;
let inputs = Inputs::new(OptionType::Call, 100.0, 100.0, Some(10), 0.05, 0.02, 20.0 / 365.25, None);
let iv = inputs.calc_iv(0.0001);

Trait Implementations

Returns a copy of the value. Read more
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Formats the value using the given formatter. Read more
Performs the conversion.
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Class doc string
#[pyclass(subclass)]
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#[pyclass(sequence)]
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Base class
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Auto Trait Implementations

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