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Accumulate Uneven Cash Flows to a Future Period

Move each differently sized cash flow to one chosen future period using a consistent per-period rate.

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Inputs

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Result

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Future value at target period
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Undiscounted cash-flow total
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Compounding effect
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Cash flows
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Calculation steps

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    FV at N = Σ CFₜ(1+i)^(N−t)

  2. 2

    Values entered

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  3. 3

    Result calculated

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  4. 4

    Answer formatted

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What this tool answers

This tool accumulates a sequence of unequal cash flows to the same future period. The timing of each entry matters because earlier amounts grow for more periods than later amounts.

Formula

FV_N = Σ CF_t × (1 + i)^(N − t).

Worked example: Three deposits accumulated to period three

Deposits of $1,000 at period 0, $500 at period 1 and $1,500 at period 2 grow at 4% per period to $3,225.664 at period 3, displayed as $3,225.66. This uses different amounts and timing from the present-value example.

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Limitations

The periodic rate is assumed constant. Use matching cash-flow and rate periods. Tax, charges and variable returns are outside this arithmetic example.

Frequently asked questions

Why does the earliest deposit grow for longer?

Its exponent is the future target period minus its own earlier period index.

Can the target period differ from the last deposit period?

Yes. The target specifies the common period to which each entry is moved.

Does this cash-flow result assume a guaranteed return?

No. The rate is supplied by the user and is not a promise of investment performance.

Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • Estimates use the rates, timing, and assumptions entered. Fees, taxes, lender rules, and future changes are included only where explicitly shown.
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