Amortization Calculator

How do you calculate amortization manually?

You can calculate amortization with a standard loan payment formula. First find the monthly rate, then calculate the payment, interest, principal, and new balance.

Formula

$M = P[r(1+r)^n] / [(1+r)^n - 1]$

Here, $M$ is the monthly payment, $P$ is principal, $r$ is the monthly rate, and $n$ is the payment count.

Step by step guide

1. Convert the annual rate to a monthly rate.
2. Enter the loan amount and payment count.
3. Calculate the monthly payment.
4. Find interest, then subtract it from the payment.
5. Subtract principal from the starting balance.

Practical Example

A $10,000 loan at 6$193.33.

What is the amortization loan?

An amortizing loan uses regular payments to reduce the balance over time. A fully amortizing loan reaches a $0 balance after the final payment.

Formula

$M = P[r(1+r)^n] / [(1+r)^n - 1]$

A partially amortizing loan does not fully repay the principal during its scheduled term.

Fully amortizing vs. partially amortizing loans

1. Fully amortizing loans reach $0 at the end.
2. Partially amortizing loans leave a balance.
3. The remaining balance may require a final balloon payment.

What is an amortization schedule?

An amortization schedule shows every loan payment from start to finish. It breaks each payment into interest and principal, then shows your remaining balance and total interest over time. Use it to track how your debt falls.

Example based on a $10,000 loan at 6% annual interest for 60 monthly payments.

Key components of an amortization schedule

Payment number: Shows the order of each scheduled loan payment.

Payment date: Shows when each payment falls due.

Beginning balance: Shows the loan balance before the payment.

Scheduled payment: Shows the regular amount due for that payment.

Interest payment: Shows the interest charged during that payment period.

Principal payment: Shows how much reduces the loan balance.

Ending balance: Shows the balance after the payment reduces principal.

Cumulative interest: Shows the total interest paid up to that payment.

Paying Off a Loan Over Time

Regular payments gradually reduce your loan balance. Early payments often contain more interest, while later payments put more money toward principal.

Spreading Costs

Amortization spreads a loan cost across scheduled payments. The payment schedule helps you see when interest and principal costs occur.

Amortizing Startup Costs: Businesses can also amortize certain startup costs over time. This accounting use differs from loan amortization and follows separate tax rules.