Imports name this capability’s declared dependencies, which fune builds next to it in your project; each one links to its page.
use super::funejson::Value; ← the fune runtime: the JSON value the test vectors use; fune build keeps it only where a signature takes one
use super::math_round_div::round_div; ← from math.round-div ^1.0.0 · built alongside by fune
use super::money_add::subtract_money; ← from money.add ^1.0.0 · built alongside by fune
use super::money_amount::{money, money_from_value, money_to_value, Money}; ← from money.amount ^1.0.0 · built alongside by fune
/// A thousand years of daily compounding is already past the point where this
/// is modelling anything; beyond it a caller has passed the wrong unit and is
/// asking for a loop that will not finish.
const MAX_PERIODS: i64 = 120000;
/// Compound interest accrued period by period, in whole minor units.
///
/// The loop is the point. A statement is built by posting a real, rounded entry
/// each period and letting the next period earn on the posted balance, so that
/// is what happens here. `principal * (1 + r/n).powi(n*y)` evaluated once at the
/// end gives a slightly different answer and cannot be reconciled against the
/// statement it disagrees with.
///
/// The division by `periods_per_year` stays inside the same rounding step as the
/// interest itself: a nominal 4.5% compounded monthly is 37.5 basis points per
/// period, and rounding that rate to 37 or 38 first would distort the result far
/// more than rounding the accrued pennies ever does.
///
/// # Panics
/// Panics if `periods_per_year` is below 1, `years` is negative, or the period
/// count exceeds the limit.
pub fn compound_interest(
principal: &Money,
annual_rate_basis_points: i64,
periods_per_year: i64,
years: i64,
) -> CompoundInterestResult {
if periods_per_year < 1 {
panic!(
"periods_per_year must be at least 1, received {}",
periods_per_year
);
}
if years < 0 {
panic!("years must not be negative, received {}", years);
}
let periods = periods_per_year * years;
if periods > MAX_PERIODS {
panic!(
"{} periods is beyond the {} period limit",
periods, MAX_PERIODS
);
}
let mut balance = money(principal.minor, &principal.currency);
for _ in 0..periods {
let accrued = round_div(
balance.minor * annual_rate_basis_points,
10000 * periods_per_year,
"half-up",
);
balance = money(balance.minor + accrued, &balance.currency);
}
CompoundInterestResult {
principal: money(principal.minor, &principal.currency),
interest: subtract_money(&balance, principal),
total: balance,
periods,
}
}
pub fn compound_interest_to_value(result: &CompoundInterestResult) -> Value {
Value::obj(vec![
("principal", money_to_value(&result.principal)),
("interest", money_to_value(&result.interest)),
("total", money_to_value(&result.total)),
("periods", Value::Int(result.periods)),
])
}
pub fn fune_vector(args: &[Value]) -> Value {
// Refuse what the typed signature cannot hold, with the wording TypeScript
// and Python use, rather than let the conversion below quietly change it.
if let Value::Float(f) = args[1] {
if f.fract() != 0.0 {
panic!("annualRateBasisPoints must be an integer, received {}", f);
}
}
if let Value::Float(f) = args[2] {
if f.fract() != 0.0 {
panic!("periodsPerYear must be at least 1, received {}", f);
}
}
if let Value::Float(f) = args[3] {
if f.fract() != 0.0 {
panic!("years must not be negative, received {}", f);
}
}
compound_interest_to_value(&compound_interest(
&money_from_value(&args[0]),
args[1].as_i64(),
args[2].as_i64(),
args[3].as_i64(),
))
}