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Payback and discounted-recovery calculator

Compare raw and discounted cumulative amounts for one initial outflow followed by nonnegative equally spaced receipts.

Omni Finance AcademyBy Omni Finance Academy
NPV over the entered horizon
-5.2592
First end-period with raw recovery
3
Raw interpolation within the crossing period
2.5

Discounted recovery is not reached in the entered horizon. Fractional figures interpolate the crossing period; actual end-period cash flows recover only at a recorded period end.

-1,000-400200013PeriodCumulative amount-1,000-400200013PeriodCumulative amount
Cumulative entered cash flows

The initial outflow and subsequent nonnegative receipts are accumulated in raw and time-zero present-value units.

  • Raw
  • Present value
View the chart values
Cumulative entered cash flows: underlying values
SeriesPeriodCumulative amount
Raw0-1,000
Raw1-600
Raw2-200
Raw3200
Present value0-1,000
Present value1-636.36364
Present value2-305.78512
Present value3-5.2592036
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Enter the stated simple schedule

Use a negative initial outflow followed by nonnegative receipts. Keep zero intervals in the sequence. The rate is nonnegative and applies to one entered interval. A future cleanup outflow lies outside this basic recovery model; inspect that schedule with the general NPV tool instead.

Separate recorded recovery from a fractional display

First end-period recovery is the first recorded date when the cumulative amount reaches the initial outlay. Fractional displays interpolate within the crossing interval. They are not observed cash-arrival dates for amounts modeled only at period ends.

Inspect the default counterexample

The default −1,000; 400; 400; 400 at 10% has first raw recovery at period three and raw interpolation 2.5. Discounted recovery is not reached, and entered-horizon NPV is -5.259204.

Retain the whole forecast horizon

Adding later receipts can change NPV while leaving the first recovery date unchanged. The calculator describes entered assumptions; it does not certify liquidity availability, operational risk or an actual investment decision.

Further references