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Irr ( internal rate of return)
What is 'Internal Rate of Return
– IRR’
Internal rate of return (IRR) is the
interest rate at which the net present
value of all the cash flows (both positive
and negative) from a project or
investment equal zero.
IRR can be used to rank multiple prospective
projects on a relatively even basis. Assuming
the costs of investment are equal among the
various projects, the project with the highest
IRR would probably be considered the best and
be undertaken first.
The formula for IRR is:
0 = P0 + P1/(1+IRR) + P2/(1+IRR)2 + P3/(1+IRR)3 + . . . +Pn/(1+IRR)n
where P0, P1, . . . Pn equals the cash flows in periods 1, 2, . . . n, respectively; and
IRR equals the project's internal rate of return.
EXAMPLE
Assume Company XYZ must decide whether to purchase a piece of factory
equipment for $300,000. The equipment would only last three years, but it is
expected to generate $150,000 of additional annual profit during those years.
Company XYZ also thinks it can sell the equipment for scrap afterward for about
$10,000. Using IRR, Company XYZ can determine whether the equipment purchase
is a better use of its cash than its other investment options, which should return
about 10%
0 = -$300,000 + ($150,000)/(1+.2431) + ($150,000)/(1+.2431)2 +
($150,000)/(1+.2431)3 + $10,000/(1+.2431)4
The investment's IRR is 24.31%, which is the rate that makes the present
value of the investment's cash flows equal to zero. From a purely financial
standpoint, Company XYZ should purchase the equipment since this
generates a 24.31% return for the Company --much higher than the 10%
return available from other investments.
THANK YOU

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Irr ( internal rate of return)

  • 2. What is 'Internal Rate of Return – IRR’ Internal rate of return (IRR) is the interest rate at which the net present value of all the cash flows (both positive and negative) from a project or investment equal zero.
  • 3. IRR can be used to rank multiple prospective projects on a relatively even basis. Assuming the costs of investment are equal among the various projects, the project with the highest IRR would probably be considered the best and be undertaken first.
  • 4. The formula for IRR is: 0 = P0 + P1/(1+IRR) + P2/(1+IRR)2 + P3/(1+IRR)3 + . . . +Pn/(1+IRR)n where P0, P1, . . . Pn equals the cash flows in periods 1, 2, . . . n, respectively; and IRR equals the project's internal rate of return. EXAMPLE Assume Company XYZ must decide whether to purchase a piece of factory equipment for $300,000. The equipment would only last three years, but it is expected to generate $150,000 of additional annual profit during those years. Company XYZ also thinks it can sell the equipment for scrap afterward for about $10,000. Using IRR, Company XYZ can determine whether the equipment purchase is a better use of its cash than its other investment options, which should return about 10%
  • 5. 0 = -$300,000 + ($150,000)/(1+.2431) + ($150,000)/(1+.2431)2 + ($150,000)/(1+.2431)3 + $10,000/(1+.2431)4 The investment's IRR is 24.31%, which is the rate that makes the present value of the investment's cash flows equal to zero. From a purely financial standpoint, Company XYZ should purchase the equipment since this generates a 24.31% return for the Company --much higher than the 10% return available from other investments.