FIN 355 · Real Estate Investment Analysis

How amortization changes a loan payment

A level-payment loan can have the same monthly payment every month while the share going to principal rises—and the share going to interest falls—over time.

Created by Desen Lin · California State University, Fullerton

1. Set the loan assumptions

Change any input and the entire amortization schedule updates immediately.

Monthly P&I payment Constant scheduled payment
Total of payments Principal + interest
Total interest Cost of borrowing over the term
Interest / original loan A term-sensitive cost measure
Principal share in Year 1
Principal share in final year
Principal becomes the majority

2. Watch the payment composition change

Each stacked bar is one loan year. Select a bar or move the year slider.

Principal Interest
Annual loan payment composition Stacked bars show the principal and interest components of payments in each year of the selected loan.

Tip: compare the orange area near the beginning and end of the loan.

BeginningEnd
Principal — Interest —
Beginning balance
Payments during year
Principal paid
Interest paid
Ending balance
Balance repaid

3. Why the shares change

The mechanism follows directly from how interest is calculated.

1

Interest comes first

Each month’s interest equals the monthly rate multiplied by the unpaid balance at the start of that month.

2

Principal is the remainder

After interest is covered, the rest of the fixed payment reduces the loan balance.

3

The process accelerates

A smaller balance produces less interest next month, leaving more of the same payment for principal.

Payment = P × r(1 + r)n ÷ [(1 + r)n − 1]

Here, P is the original principal, r is the monthly interest rate, and n is the number of monthly payments. At a zero interest rate, payment equals P ÷ n.

4. Annual amortization schedule

Monthly calculations are aggregated into loan years for a clearer comparison.

Year Beginning balance Total payment Principal Interest Principal share Ending balance

Small differences may occur because displayed amounts are rounded to cents.