# How to Calculate Simple Interest: Math Calculations

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Simple Interest Loan with Variable Repayments : image by Mike DeHaan

## Simple Interest Loan Calculations: Example

This image shows a spreadsheet with a simple-interest loan at a fixed interest rate of 12%/year, but which allows variable repayment amounts in the “Payment /month” column.

This spreadsheet uses a straightforward monthly interest rate that is 1/12 of the annual, or 1% per month. It also assumes that the full principal amount was taken at once; interest is calculated before applying the payment; and payments are made on time. Any loan or investment you make may have different rules, such as daily interest calculations, or applying payments before calculating interest.

The “\$ Interest /month” equals the “LOAN: Principal Balance” amount times the “Annual Interest Rate,” divided by 12.

For the first three months, the \$50 payment is less than the interest cost. This demonstrates that for a simple interest calculator, the next interest amount is based on the current principal, not on the “Interest Balance” or “Total Balance” that includes previous interest. The monthly Interest remains \$100, even though the Total Balance increases.

Once the monthly payment becomes \$150, the Interest Balance dwindles by \$50/month. After that, the payment in excess of the monthly interest charge reduces the principal. Then, the monthly interest cost becomes less; and the payment applied to principal increases.

## Math of a Simple Interest Calculator

Learning how to calculate simple interest is a matter of multiplication along with a bit of technical vocabulary. It’s easy build your own simple interest calculator in a spreadsheet; just take care not to keep it simple – don’t compute interest on interest.

## References

Simple Interest Calculator. Money Chimp. Referenced April 10, 2013.

Why Make More Than The Minimum Payment? Control Credit Card Debt. Referenced April 10, 2013. (This has a compound interest calculator).

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