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Future value of cash flows calculator icon showing uneven bars

Future Value of Cash Flows Calculator

Future Value of Cash Flows Calculator

Separate cash flows with commas. Each entry is period:amount, e.g. 1:1000 means 1000 received at the end of period 1.

This is a worked example. Change the values, then press Calculate.

TOTAL FUTURE VALUE

Solution

Real cash flow series rarely consist of equal, evenly-spaced payments, this calculator handles any combination of amounts received at any periods, valuing them all forward to a single point in time.

How to use this calculator

  1. Enter your Cash Flows as period:amount pairs, separated by commas (e.g. 1:1000, 2:1500, 3:2000).
  2. Enter the Rate per Period and the Valuation Period (N).
  3. Read the Total Future Value and the breakdown of each cash flow’s contribution.

What this calculator does

Unlike an annuity calculator, which assumes equal payments at regular intervals, this tool values each individual cash flow separately, compounding it forward from whichever period it occurs in to your chosen valuation period, then sums all the individually-compounded values into one total.

Total FV = Σ [Cash Flow at period k × (1 + r)^(N − k)]

Why each cash flow compounds for a different length of time

A cash flow received early in the series has more time to compound before reaching the valuation period than one received later, which is why this calculator can’t simply sum the raw cash flows, each one needs to be individually grown forward by exactly the number of periods remaining until the valuation date.

Frequently asked questions

How is this different from a regular annuity future value calculation?

An annuity assumes equal payments at every regular interval, while this calculator handles any combination of different amounts at different (even irregular) periods, compounding each one individually before summing the total.

Why does an earlier cash flow contribute more to the future value than a later one of the same amount?

An earlier cash flow has more compounding periods between it and the valuation date, giving it more time to grow, while a later cash flow of the identical amount has less time to compound and therefore contributes less to the final total.