Smart Calculator

Time Value of Money Calculator

Time Value of Money Calculator

Professional TVM calculator that solves for PV, FV, PMT, I/Y, or N. Select what you want to calculate and enter the other 4 values.

TVM Variables
Enter 4 values to solve for FV
What do you want to calculate?

Select the variable you want to solve for, then enter the other 4 values

Lump sum at start (negative for outflow)

Recurring payment (negative for withdrawal)

Annual interest rate (%)

Total compounding periods

Settings

End of Period
Understanding Time Value of Money

TVM Variables

  • PV (Present Value): Current worth of future cash flows
  • FV (Future Value): Value of investment at end of period
  • PMT (Payment): Regular payment amount (annuity)
  • I/Y (Interest Rate): Annual interest rate as percentage
  • N (Periods): Total number of compounding periods

Key Concepts

  • Compounding: Interest earned on interest
  • Regular Contributions: Consistent periodic payments
  • Time Horizon: Length of investment period
  • Risk vs Return: Higher returns often mean higher risk

Example Calculation

Scenario: Retirement Savings

PV = $20,000 (initial investment)

PMT = -$2,000 (annual contribution)

I/Y = 6% (annual return)

N = 10 years

P/Y = C/Y = 1 (annual)

Result: FV ≈ $62,317

Sign Conventions

  • Positive: Money received (inflows)
  • Negative: Money paid out (outflows)
  • PV: Negative if you invest money
  • PMT: Negative if you make payments