What is Time Value of Money?

Time Value of Money calculator computes present value, future value, payment amount, interest rate, or number of periods. See how money grows over time with compound interest.

Pick which variable to solve for and the calculator handles the rest. Switch compounding between annual, quarterly, and monthly to see how frequency changes the result, and open the amortization schedule for a row-by-row look at how interest stacks on top of principal each period.

How to use

1. Select what you want to calculate: present value, future value, payment, rate, or periods.
2. Enter the known values (e.g., present value, interest rate, and number of periods to find future value).
3. View the calculated result along with an amortization schedule showing period-by-period breakdown.

When to use

• Working out what a lump sum invested today will be worth at retirement.
• Figuring out the monthly payment needed to hit a savings goal in a fixed timeframe.
• Comparing two loan offers by solving for the implied interest rate from the terms.

Result

An investor calculates that $10,000 invested at 7% annual return for 20 years will grow to $38,696.84 through compound interest.

FAQ

Why is the present value negative when I solve for future value?

The calculator uses the cash-flow sign convention: money you put in is a negative cash flow, money you take out is positive. So a $10,000 deposit shows as -10,000 internally, and the future value comes back positive because you're receiving it later.

Does compounding frequency really make a noticeable difference?

At 7% over 20 years, $10,000 compounded annually grows to about $38,697. The same money compounded monthly reaches roughly $40,387. The longer the horizon and the higher the rate, the bigger the gap between annual and monthly compounding.

Can I model a loan instead of a savings goal?

Yes. Enter the loan amount as the present value, leave future value at zero (the loan ends paid off), enter the rate and number of payments, and solve for PMT. The result is the periodic payment that amortizes the loan to zero.

What does the amortization schedule show me?

It breaks each period into the interest accrued, the payment applied, and the remaining balance. For a loan this shows how early payments are mostly interest and late payments are mostly principal. For savings it shows how returns compound on a growing base.

Should I use a nominal or real interest rate?

If you want results in today's purchasing power, subtract expected inflation from the nominal rate and enter that. A 7% nominal return with 3% inflation becomes a 4% real rate, which is what your money buys at the end.

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