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Home/Finance Tools/Future Value (FV) Calculator

Future Value (FV) Calculator

Home › Finance Tools › Future Value (FV) Calculator

Future Value (FV) Calculator

Calculate the future value of your assets. Model lump sum deposits and periodic payments using ordinary annuities or annuities due under custom compound schedules.

Lump Sum Only (10 Years)
Ordinary Annuity (15 Years)
Annuity Due (5 Years)
Calculate Future Value
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Estimated Future Value (FV)
—

Enter parameters on the left to calculate future value.

*Results account for geometric compounding rates over the horizon.
Total Principal Invested: —
Total Interest Earned: —
Asset Value Multiplier: —
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Amortization Schedule
Financial Formulas
YearStarting BalanceAnnual DepositsInterest EarnedEnding Balance

Mathematical Derivation of Future Value

The future value of an investment combines a compounding initial principal balance (the lump sum) with a geometric series representing regular periodic deposits (annuities).

1. Future Value of Lump Sum (PV):
FVlump = PV × ( 1 + r / k )k × n
2. Ordinary Annuity (End of Period payments):
FVordinary = PMT × [ ( 1 + r / k )k × n – 1 ] / ( r / k )
3. Annuity Due (Start of Period payments):

Because payments are made at the start of each period, they compound for one extra compounding step:

FVdue = PMT × [ ( 1 + r / k )k × n – 1 ] / ( r / k ) × ( 1 + r / k )

Where:

  • PV = Present Value (Starting Principal).
  • PMT = Periodic payment amount.
  • r = Annual interest rate (decimal).
  • k = Compounding frequency per year.
  • n = Holding duration in years.

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