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Finance (TVM) Calculator

Solve for the number of periods, interest rate, present value, payment or future value, like a BA II Plus or HP 12C.

About the Finance (TVM) Calculator

Choose which value to solve for (N, I/Y, PV, PMT or FV), enter the other four, the periods per year and whether payments are at the start or end. It works like a financial calculator's TVM keys.

This uses the standard time value of money equation that financial calculators use. Like them, it uses a sign convention: money you pay out (a deposit, a loan you give) is negative, and money you receive is positive. For a loan you take, PV is positive and payments are negative. Set periods per year to 12 for monthly payments.

The formula

PV·(1+i)ⁿ + PMT·(1 + i·type)·((1+i)ⁿ − 1) ÷ i + FV = 0

Worked example

Deposit 10,000 now and 200 a month for 120 months at 6% a year

  1. PV −10,000; PMT −200 (money paid out)
  2. FV = 50,969.84
  3. Effective annual rate 6.17%

Questions people ask

Why is my answer negative?

It shows the direction of the cash flow, not a loss.

What's I/Y?

The nominal yearly rate; the per-period rate is I/Y ÷ periods per year.