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src/lib/calculators/paye-calculator.ts
81 lines
/**
* PAYE Plan Calculator (Pay As You Earn)
*
* Key rules:
* - 10% of discretionary income (AGI - 150% poverty line)
* - Payment capped at 10-year Standard payment
* - 20-year forgiveness (240 months)
* - Only available to "new borrowers" as of Oct 1, 2007 with loans after Oct 1, 2011
* - Interest capitalizes if payment doesn't cover interest
* - Cap on capitalized interest: original balance (subsidized loans, first 3 years)
*/
import { LoanInputs, PlanResult, MonthlySnapshot } from './types';
import { getDiscretionaryIncome, getPovertyGuideline, POVERTY_MULTIPLIERS } from './poverty-guidelines';
const PAYE_PAYMENT_RATE = 0.10;
const FORGIVENESS_MONTHS = 240; // 20 years
export function calculatePAYE(inputs: LoanInputs): PlanResult {
const { totalBalance, weightedRate, agi, familySize, state } = inputs;
const povertyGuideline = getPovertyGuideline(familySize, state);
const discretionaryIncome = getDiscretionaryIncome(
agi, familySize, state, POVERTY_MULTIPLIERS.PAYE
);
const monthlyPayment = Math.max(0, (discretionaryIncome * PAYE_PAYMENT_RATE) / 12);
const monthlyRate = weightedRate / 12;
const standardPayment =
monthlyRate > 0
? (totalBalance * monthlyRate) / (1 - Math.pow(1 + monthlyRate, -120))
: totalBalance / 120;
const cappedPayment = Math.min(monthlyPayment, standardPayment);
let balance = totalBalance;
let totalPaid = 0;
let totalInterest = 0;
const schedule: MonthlySnapshot[] = [];
for (let month = 1; month <= FORGIVENESS_MONTHS; month++) {
const interestThisMonth = balance * monthlyRate;
const payment = Math.min(cappedPayment, balance + interestThisMonth);
const principalPaid = payment - interestThisMonth;
totalPaid += payment;
totalInterest += interestThisMonth;
if (principalPaid >= 0) {
balance = Math.max(0, balance - principalPaid);
} else {
// Interest capitalizes
balance += Math.abs(principalPaid);
}
schedule.push({
month,
payment: Math.round(payment * 100) / 100,
principal: Math.round(Math.max(0, principalPaid) * 100) / 100,
interest: Math.round(interestThisMonth * 100) / 100,
balance: Math.round(balance * 100) / 100,
});
if (balance <= 0) break;
}
return {
planName: 'PAYE',
monthlyPayment: Math.round(cappedPayment * 100) / 100,
totalPaid: Math.round(totalPaid * 100) / 100,
totalInterest: Math.round(totalInterest * 100) / 100,
forgivenessAmount: Math.round(Math.max(0, balance) * 100) / 100,
forgivenessMonths: FORGIVENESS_MONTHS,
repaymentMonths: schedule.length,
discretionaryIncome: Math.round(discretionaryIncome * 100) / 100,
povertyGuideline,
paymentSchedule: schedule,
};
}