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Internal Rate of Return - IRR

Internal Rate of Return (IRR) - the break-even interest rate.

A primary measure of an investments worth (or value) 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 equals the Net Present Worth - NPW - (Net Present Value) of a project in and out cash flows.

P(i rr ) = F cash_in - F cash_out

= 0                    (1)


P = Present Worth (Value)

i rr = internal rate of return

F cash_in = future cash flow in ( discounted )

F cash_out = future cash flow out ( discounted)

(1) can be expressed as

P(i rr ) = F0 / (1 + i rr ) 0 + F1 / (1 + i rr ) 1 + F2/(1 + i rr )2+ .... + F n /(1 + i rr ) n

= 0                    (2)


F 0..n = cash flow in period 0 to n (positive value for cash flow in - negative value for cash flow out)

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

Internal Rate of Return Diagram

Cash Flow Internal Rate of Return Calculator

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

Cash Flows - Period

Present Value of Future Payment chart

Download and print Present Value of Future Payment chart

Minimum Attractive Rate of Return - MARR

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

Related Topics

  • Economics

    Engineering economics - cash flow diagrams, present value, discount rates, internal rates of return - IRR, income taxes, inflation.

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