TVM solver: N, I/Y, PV, PMT, FV
Solve any of the five keys, with P/Y, C/Y, BGN/END and a period-by-period table. Not a Texas Instruments product and not affiliated with TI.
Number of payment periods: years × payments per year (P/Y).
Nominal annual interest rate, in % (enter 6 for 6%).
Present value: the amount today. Money you receive is +, money you pay is −.
Payment made or received each period. Use 0 for a single lump sum.
Future value: the amount at the end of the last period.
Payments at
$25,000 borrowed for 5 years at 6%: the payment is negative because you pay it.
N60.00
I/Y6.00%
PV$25,000.00
PMT (computed)-$483.32
FV$0.00
Total of payments: $28,999.20Interest (net): $3,999.20Effective annual rate: 6.17%Years: 5.00
Sign convention, as on a BA II Plus: money you pay out is negative, money you receive is positive. A loan has PV positive (you receive it) and PMT negative.
Formula and steps
1
Interest rate per period
i = I/Y100 × P/Y = 6.0000100 × 12 = 0.500000%
2
The time value of money equation (payments at the end of each period); the computed value (PMT) makes it equal zero
PV(1 + i)N + PMT × (1 + i)N − 1i + FV = 0
3
Substitute the values
25,000.00 × 1.00500060.00 + -483.32 × 69.7700 + 0.00 = 0.00
About this calculator
Solve for any one of the five time value of money variables: the number of periods (N), the annual interest rate (I/Y), present value (PV), the payment (PMT) or future value (FV). The table shows interest, principal and balance for every period.
Formula
PV(1 + i)N + PMT × (1 + i)N − 1i + FV = 0, where i = (1 + I/YC/Y)C/Y ÷ P/Y − 1
- C/Y (compounding periods per year) can differ from P/Y (payments per year).
- Leave the value you want blank, then press its Compute button.
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