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Internal Rate of Return - IRR

Internal Rate of Return - IRR - the project break-even interest rate

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A primary measure of an investments worth is based on yield and known as the internal rate of return - IRR. The internal rate of return can be defined as the break-even interest rate which equates the Net Present Worth - NPW - (Net Present Value) of a projects cash flow in and out.

PW(irr) = PWcash_in - PWcash_out

        = 0         (1)

where

PW = Present Worth

irr = internal rate of return

 (1) can be expressed as

PW(irr) = F0 / (1 + irr)0 + F1 / (1 + irr)1 + F2 /(1 + irr)2 + .... + Fn /(1 + irr)n

        = 0         (2)

where

F = cash flow

For a given cash flow equation (2) can be solved by iteration.  

Internal Rate of Return Diagram

Internal rate of Return - IRR - of a Cash Flow - Online Calculator

  • money out - negative values
  • money in - positive values

Cash Flows - Period

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Minimum Attractive Rate of Return - MARR

Minimum Attractive Rate of Return - MARR - represents the required or minimum Internal Rate of Return for a project investment. 

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Related Topics

  • Economics - Engineering economic concepts - cash flow diagrams, discount rate, internal rate of return - IRR, income taxes, inflation

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