Finance Calculator — Time Value of Money (TVM)
Solve for Future Value, Present Value, Number of Periods, Interest Rate, or Payment Amount. The standard TVM solver used by finance professionals and students — identical to the HP 12C and TI BA II+.
TVM Finance Calculator
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Balance Growth Over 60 Period
Over 60 periods, 168.8% of the final balance comes from returns — not the original investment or payments.
Variable Magnitudes
Solved Variable
Future Value (FV): $232,635.63
Ordinary Annuity · TVM formula
The Formula
The Time Value of MoneyThe principle that money available today is worth more than the same amount in the future due to its earning potential. equation relates five variables: Future ValueThe value of an asset or investment at a specified date in the future, accounting for growth or interest., Present ValueThe current worth of a future sum of money, discounted at a specific rate. The foundation of discounted cash flow analysis., Payment, Interest Rate, and Number of Periods. Given any four, this calculator solves for the fifth using algebraic rearrangement or Newton-Raphson iteration (for Rate).
Variable Definitions
Present Value
The current value of a cash flow or investment. Cash outflows are entered as negative numbers (standard financial sign convention).
Future Value
The value of a cash flow at the end of the investment horizon.
Payment
The constant periodic payment amount. Negative for payments made (outflows), positive for payments received (inflows).
Rate per Period
The interest rate for each compounding period. For monthly periods, divide the annual rate by 12.
Number of Periods
The total number of payment or compounding periods.
How to Use This Calculator
- 1
Select what you want to solve for in the "Solve For" dropdown.
- 2
Fill in the four known variables (leave the solved-for field blank or at 0).
- 3
Use financial sign convention: cash you pay out is negative, cash you receive is positive.
- 4
For monthly mortgage: PV = loan amount (positive), PMT = monthly payment (negative), FV = 0, n = months, rate = annual rate ÷ 12.
- 5
Select Annuity Due for lease/rent scenarios where payment occurs at the beginning of each period.
Common Applications
- Solve for any unknown variable in a loan, investment, or annuity using the five-variable time value of money framework.
- Calculate the monthly payment on a mortgage by providing the loan amount, term, and interest rate as PV, N, and I/Y.
- Determine the future value of regular savings contributions or the present value of a future lump sum needed for retirement planning.
The Time Value of Money framework connects five variables — given any four, you can solve for the fifth
Understanding the Concept
The Time Value of Money (TVM) is the bedrock principle of finance: a dollar today is worth more than a dollar tomorrow because of its earning potential. The TVM equation unifies all core financial calculations — mortgages, savings, investments, and annuities — into one five-variable framework. Financial calculators (HP 12C, TI BA II+) solve these exact equations. Sign convention is critical: money leaving your pocket is negative (payments, loan principal received), and money coming to you is positive. For rate-solving, this calculator uses Newton-Raphson numerical iteration, the same method used by professional financial calculators.
Frequently Asked Questions
Sources & References
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