Renewable annual discounted payback calculator

Calculate discounted net present value and discounted payback with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Choose the currency for these amounts. Changing it keeps your numbers and does not convert exchange rates.

Use discounted net present value and discounted payback to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Initial capital cost (USD)
25000
Annual net cashflows after year zero (USD)
6000,6000,6000,6000,6000
Annual discount rate (%)
5
Residual value at final year (USD)
2000
Discounted net present value (USD)
$2,543.91
Discounted payback (years or not reached)
4.594156
Discounted cumulative cashflow (JSON)
[-25000,-19285.7142857,-13843.537415,-8660.51182378,-3724.29697503,2543.91235672]

Try another scenario

Initial capital cost (USD)
25001
Annual net cashflows after year zero (USD)
[6000, 6000, 6000, 6000, 6000]
Annual discount rate (%)
5
Residual value at final year (USD)
2000
Discounted net present value (USD)
$2,542.91
Discounted payback (years or not reached)
4.594316
Discounted cumulative cashflow (JSON)
[-25001,-19286.7142857,-13844.537415,-8661.51182378,-3725.29697503,2542.91235672]
Calculation method

Calculation method

Discounted net present value (USD)

Year-end discounted cashflows with final residual; fractional payback linearly allocates the crossing year’s discounted cashflow.

Discounted payback (years or not reached)

Year-end discounted cashflows with final residual; fractional payback linearly allocates the crossing year’s discounted cashflow.

Discounted cumulative cashflow (JSON)

Year-end discounted cashflows with final residual; fractional payback linearly allocates the crossing year’s discounted cashflow.

Symbols and units
a
Initial capital cost (USD)
b
Annual net cashflows after year zero (USD)
c
Annual discount rate (%)
d
Residual value at final year (USD)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Year-end discounted cashflows with final residual; fractional payback linearly allocates the crossing year’s discounted cashflow. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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