Loan Inputs
Loan Cost Summary
How the true APR (IRR) is calculated
Monthly payment uses standard amortization: payment = amount × (monthly rate × (1+monthly rate)^N) ÷ ((1+monthly rate)^N − 1), computed on the full loan amount regardless of the fee.
True APR is the internal rate of return (IRR) of your actual cash flows, solved by Newton iteration: with the fee deducted from proceeds, month 0 cash flow = amount − fee, followed by N monthly payments of −payment; with the fee paid upfront, month 0 = amount and month 1 adds the upfront fee to the payment. The monthly IRR is annualized as (1+r)^12 − 1.
If the nominal APR alone produced these cash flows, the discounted value would equal zero exactly at that rate β any gap between nominal and true APR is the cost of the fee.
All amounts are computed in whole cents (integer arithmetic) to avoid floating-point errors.
Amortization Schedule
| No. | Payment | Principal | Interest | Remaining |
|---|