Time value of money calculator (PV, FV, rate, periods, payment)
Like a financial calculator: choose what you are looking for and fill in the rest. Sign convention: money you pay out is negative, money you receive is positive.
Result
31,998.32Future value (FV)
- Rate per period
- 0.4167%
Inputs
- I am looking for
- FV
- Present value (PV)
- -10000
- Payment each period
- -100
- Nominal rate per year
- 5
- Total number of periods
- 120
- Periods per year
- Every month
- Payments made at the
- End of each period
How it is calculated
Equation used: PV × (1 + i)^n + PMT × (1 + i × t) × ((1 + i)^n − 1) ÷ i + FV = 0.
Result
Future value (FV)
- Rate per period
- 0.4167%
How it is calculated
- Equation used: PV × (1 + i)^n + PMT × (1 + i × t) × ((1 + i)^n − 1) ÷ i + FV = 0.
- i = yearly rate ÷ periods per year; t = 1 for payments at the start of each period, else 0.
- PV, FV and payment are solved directly; periods with a logarithm; the rate by a numeric search.
- Signs matter: if everything has the same sign, there is no solution.
Example
You pay 10,000 today (−10,000) then 100 at the end of each month (−100), at 5% a year for 120 months: the future value is 31,998.32.
Good to know
- Constant rate for the whole length.
- Equal, regular payments at the same rhythm as interest.
Frequently asked questions
What is this tool used for?
Like a financial calculator: choose what you are looking for and fill in the rest. Sign convention: money you pay out is negative, money you receive is positive.
How is the result calculated?
Equation used: PV × (1 + i)^n + PMT × (1 + i × t) × ((1 + i)^n − 1) ÷ i + FV = 0.
What should I check before using the result?
Constant rate for the whole length.