Future Value Calculator

Projecting a Balance That Grows From Two Directions

Most real savings and investment accounts don't grow from a single lump sum alone — they combine an initial deposit with ongoing monthly contributions, both compounding together. This calculator handles both streams at once, computing the future value of a starting balance and the future value of a stream of monthly contributions, then adding them together for a total projected balance.

The Formula

FV = PV × (1 + r)n + PMT × (((1 + r)n − 1) ÷ r)

PV is the present value (starting amount), PMT is the monthly contribution, r is the monthly rate (annual rate divided by 12), and n is the number of months. The first term grows the initial deposit; the second term grows the stream of monthly contributions as a future-value annuity.

Where This Matters

  • Retirement account projections — modeling an existing 401(k) or IRA balance plus ongoing monthly contributions gives a realistic combined future value, rather than treating either stream in isolation.
  • College savings planning — a 529 plan often starts with an initial deposit and continues with monthly additions; this calculator projects the combined trajectory toward a target.
  • Separating growth sources — breaking out growth on the initial deposit versus growth on contributions shows which part of the strategy is doing more of the work over the chosen horizon.

Worked Example

$10,000 starting balance, $300 monthly contribution, 7% annual rate, 25 years
ComponentValue
Growth on present value$57,254.18
Growth on contributions$243,021.51
Total contributed$100,000.00
Interest earned$200,275.69
Future value$300,275.69

How to Use This Calculator

  1. Enter your present value or initial amount (optional if starting from zero).
  2. Enter your monthly contribution (optional if making a one-time investment).
  3. Enter the annual interest rate.
  4. Enter the number of years to project.
  5. Select Calculate to see the future value, broken down by growth on the initial amount versus growth on contributions.

Related Calculations

Work backward from a target with the Present Value Calculator, or model a fixed periodic contribution schedule specifically with the Dollar Cost Averaging Calculator.