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Nine Period Net Present Value

Discount up to nine end-of-period cash flows and subtract the initial investment.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Use the result with context

Results are estimates for planning and education. Confirm rates, taxes, fees, and legal requirements with the relevant institution or a qualified professional before making a financial decision.

Formula and method

An initial outlay of 1000 followed by 1100 at the end of one period, discounted at 10%, has present value 1000 and net present value zero.

NPV = −initial outlay + sum(cash flow t/(1 + discount rate)^t), t = 1…9.

Worked example

Enter these known values and leave the other values blank.

Initial costs
1000 USD
Year 1
1100 USD
Discount rate
10 %
Net present value
0 USD
Expected cash flows
1000 USD

Assumptions and limitations

  • Cash flows are at each period end. Use a discount rate for the same period length; the source does not assign a calendar schedule.
  • The initial investment is entered as a positive outlay. Later negative flows represent additional costs. Blank future periods have zero defaults.
  • Rate must exceed −100%. Fees, tax and inflation are included only if already reflected in your cash flows and discount rate.
  • Amounts use a single consistent currency. Currency selector conversion factors are a captured static snapshot; they are not current FX quotes.
  • Clear the unknown field before solving an inverse. Locks keep known values fixed; contradictory locked values require correction.
  • Domain review limits calculations to the documented finite scenario; original captured equations, inverses and unit options are retained.

Common questions

How should I interpret the example?

An initial outlay of 1000 followed by 1100 at the end of one period, discounted at 10%, has present value 1000 and net present value zero.

References

Require the documented finite model domain. Discount rate must exceed minus 100 percent.

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