1use std::error::Error;
8
9use ledge::{FactorCovariance, Matrix, PortfolioProblem, RebalanceStep, SolveStatus};
10
11const ASSETS: usize = 40;
12const FACTORS: usize = 4;
13const DATES: usize = 10;
14
15fn expected_returns(date: usize) -> Vec<f64> {
17 (0..ASSETS)
18 .map(|asset| 0.05 + 0.02 * ((asset + 3 * date) as f64 * 0.61).sin())
19 .collect()
20}
21
22fn main() -> Result<(), Box<dyn Error>> {
23 let exposures: Vec<f64> = (0..ASSETS * FACTORS)
24 .map(|index| 0.3 * (index as f64 * 12.9898).sin())
25 .collect();
26 let problem = PortfolioProblem::new(
27 Matrix::new(ASSETS, FACTORS, exposures)?,
28 FactorCovariance::Diagonal(vec![0.06; FACTORS]),
29 vec![0.1; ASSETS],
30 expected_returns(0),
31 )?
32 .with_risk_aversion(6.0)?
33 .with_bounds(vec![0.0; ASSETS], vec![0.2; ASSETS])?
34 .with_quadratic_turnover(vec![1.0 / ASSETS as f64; ASSETS], 0.5)?;
35
36 let mut sequence = problem.sequence()?;
37 let mut previous_weights: Option<Vec<f64>> = None;
38
39 println!("date | status | iterations | new factorizations | one-way turnover");
40 println!("---|---|---|---|---");
41 for date in 0..DATES {
42 let factorizations_before = sequence.factorizations();
43 let step = RebalanceStep {
44 expected_returns: (date > 0).then(|| expected_returns(date)),
45 previous_weights: previous_weights.clone(),
46 ..RebalanceStep::default()
47 };
48 let solution = sequence.solve_next(&step)?;
49 if solution.status != SolveStatus::Solved {
50 return Err(format!(
51 "date {date} stopped with status '{}' after {} iterations",
52 solution.status, solution.iterations
53 )
54 .into());
55 }
56
57 let turnover = previous_weights.as_ref().map_or(0.0, |previous| {
58 solution
59 .x
60 .iter()
61 .zip(previous)
62 .map(|(new, old)| (new - old).abs())
63 .sum::<f64>()
64 / 2.0
65 });
66 println!(
67 "{date} | {} | {} | {} | {turnover:.6}",
68 solution.status,
69 solution.iterations,
70 sequence.factorizations() - factorizations_before,
71 );
72 previous_weights = Some(solution.x);
73 }
74 println!(
75 "total reduced factorizations across {DATES} dates: {}",
76 sequence.factorizations()
77 );
78 Ok(())
79}