In: Accounting
The manager of Keebee, Inc. is considering a new project that would require an initial investment of $1,197,810. The cost of capital or the required rate of return of this company is 10 percent. This project will generate an annual cash inflow of $300,000 in the following five years.
Computaton of Net Present Value (NPV):
Initial cash outlay (a) 1197810
Present value of cash inflows (b)
(300000 X cumulative discount factor 3.790) 1137000
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NPV (b-a) - 60810
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Ths project should not be accepted as the NPV is negatve.
Computaton of Internal Rate of Return (IRR):
To arrive at IRR, we need to compute NPV at a different rate randomly, say 6%.
Initial cash outlay (a) 1197810
Present value of cash inflows (b)
(300000 X cumulative discount factor 4.210) 1263000
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NPV (b-a) 65190
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IRR = LR + [(NPV at LR/NPV at LR-NPV at HR) X (HR-LR)]
Where LR = lower rate and HR = higher rate, here LR = 6% and HR = 10%
= 6 + (65190/65190+60810) X 4
= 6 + 2.06
IRR = 8.06 %
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