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use crate::amort_dep_tax::AmortizationPeriod;
use crate::ZERO;
use rust_decimal::prelude::*;
#[cfg(not(feature = "std"))]
extern crate alloc;
#[cfg(not(feature = "std"))]
use alloc::vec::Vec;
/// Calculates the amortization schedule for a loan or mortgage.
///
/// The amortization schedule includes a series of payments that are applied to both
/// principal and interest. Each payment reduces the principal balance and pays interest
/// charges based on the remaining balance and the interest rate.
///
///
/// # Arguments
/// * `rate` - The interest rate per period
/// * `nper` - The total number of payment periods
/// * `principal` - The present value or principal amount of the loan (should be positive as cash inflow for a mortgage/loan)
/// * `pmt` - The payment amount per period (should be negative as cash outflow, can be calculated using `pmt` function)
/// * `round` (optional) - A tuple specifying the number of decimal places and a rounding
/// strategy for the amounts `(dp, RoundingStrategy)`, default is no rounding of calculations. The final principal
/// payment is adjusted to zero out the remaining balance if rounding is enabled.
/// `rust_decimal::RoundingStrategy::MidpointNearestEven` ("Bankers Rounding") is likely
/// what you are looking for
///
/// # Returns
/// * A vector of `AmortizationPeriod` instances representing each period in the amortization schedule.
///
/// # Examples
/// * 5% rate, 30 year term (360 months), $1,000,000 loan, $4,000 monthly payment
/// ```
/// use rust_finprim::amort_dep_tax::amort_schedule;
/// use rust_decimal_macros::dec;
/// use rust_finprim::tvm::pmt;
///
/// let rate = dec!(0.05) / dec!(12);
/// let nper = 30 * 12;
/// let principal = dec!(1_000_000);
/// let pmt = pmt(rate, nper.into(), principal, None, None);
///
/// let schedule = amort_schedule(rate, nper, principal, pmt, None);
/// ```
pub fn amort_schedule(
rate: Decimal,
nper: u32,
principal: Decimal,
pmt: Decimal,
round: Option<(u32, RoundingStrategy)>,
) -> Vec<AmortizationPeriod> {
// Allocate vector memory upfront
let mut periods = Vec::with_capacity(nper as usize);
let pmt = if let Some((dp, rounding)) = round {
-pmt.round_dp_with_strategy(dp, rounding)
} else {
-pmt
};
let mut remaining_balance = principal;
for period in 1..=nper {
let mut principal_payment = pmt - (remaining_balance * rate);
let mut interest_payment = pmt - principal_payment;
if let Some((dp, rounding)) = round {
principal_payment = principal_payment.round_dp_with_strategy(dp, rounding);
interest_payment = interest_payment.round_dp_with_strategy(dp, rounding);
}
remaining_balance -= principal_payment;
periods.insert(
period as usize - 1,
AmortizationPeriod::new(period, principal_payment, interest_payment, remaining_balance),
);
}
// Zero out the final balance when rounding is enabled
// by subtracting the remaining balance from the final payment
// (adding the remaining balance to the principal payment)
if round.is_some() {
let final_payment = periods.last_mut().unwrap();
final_payment.principal_payment += final_payment.remaining_balance;
final_payment.remaining_balance = ZERO;
}
periods
}
#[cfg(test)]
mod tests {
use super::*;
use rust_decimal_macros::dec;
#[cfg(not(feature = "std"))]
extern crate std;
#[cfg(not(feature = "std"))]
use std::prelude::v1::*;
#[cfg(not(feature = "std"))]
use std::{assert_eq, println};
#[test]
fn test_amort_schedule() {
let rate = dec!(0.05) / dec!(12);
let nper: u32 = 30 * 12;
let principal = dec!(250_000);
let pmt = crate::tvm::pmt(rate, Decimal::from_u32(nper).unwrap(), principal, None, None);
println!("PMT: {}", pmt);
let schedule = amort_schedule(rate, nper, principal, pmt, None);
schedule.iter().for_each(|period| {
println!("{:?}", period);
});
// Check the final balance is close to zero
assert_eq!(schedule.last().unwrap().remaining_balance.abs() < dec!(1e-20), true);
let schedule_round = amort_schedule(
rate,
nper,
principal,
pmt,
Some((2, RoundingStrategy::MidpointNearestEven)),
);
schedule_round.iter().for_each(|period| {
println!("{:?}", period);
});
// Check the final balance is Zero
let sec_last_elem = schedule_round.get(358).unwrap();
let last_elem = schedule_round.last().unwrap();
assert_eq!(sec_last_elem.remaining_balance - last_elem.principal_payment, ZERO);
}
}