Birdies and Eagles Inc. is analyzing the purchase of a new
machine costing $155,000. The
company expects to realize net savings of $30,000 per year for the
next 7 years. What is
BEI's internal rate of return (IRR) on this investment?
Select one:
A. 6.72%
B. 7.32%
C. 8.22%
D. 9.52%
THE ANSWER IS “C. 8.22%”
Step – 1, Firstly calculate NPV at Say 8%
Net Present Value [NPV] = Present Value of Annual cash flows – Initial Investment
= $30,000[PVIFA 8%, 7 Years] - $155,000
= [$30,000 x 5.206370] - $155,000
= $1,191
Step – 2, NPV at 8% is positive, Calculate the NPV again at a higher rate, Say 9%
= $30,000[PVIFA 9%, 7 Years] - $155,000
= [$30,000 x 5.032952] - $155,000
= -$4,011
Therefore IRR = R1 + NPV1(R2-R1)
NPV1-NPV2
= 8% + $1,191 (9% - 8%)
$1,191 - (-4,011)
IRR = 8% + 0.22%
IRR = 8.22%
“HENCE, THE ANSWER is 8.22%”
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