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Future value of dated cash flows at a common time

Each payment is moved to the same time N using the stated constant periodic rate.

Read the formula and variables

FVN=∑tCFt(1+r)N−tFV_N=\sum_t CF_t(1+r)^{N-t}

Each payment is moved to the same time N using the stated constant periodic rate.

Variables and conventions
InputMeaning
CF_tCash flow at time t
NChosen common date
rRate per period

Check a stated example

Cash 100 at time 1 and 200 at time 3 have time-3 value 310.25 at 5% per period.

The amounts in the example are synthetic. Keep the original precision through the calculation and round only the displayed result.

Check the domain and timing

If N lies before a payment, the negative exponent discounts it back. Keep timing and the rate convention with every term.

A changed date, payment pattern or quotation convention can require a different expression even when the numbers look similar. Identify those features before calculating.

Further references