Question
a: should/should not
b: should/should not
c: the same/different
An investment costs $17,944 and will generate cash flow of $4,000 annually for six years. The firms cost of capital is 10 pe
Interest Factors for the Present Value of an Annuity of One Dollar Time Period (e.g. year) 1 2 3 4 5 1% 2% 0.990 0.980 0.971
0 0
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Answer #1

a) The internal rate of return is the rate at which investment cost is equal to present value of cash inflows.

Investment cost = Annual cash inflows*PVAF(i%, 6 yrs) (where i = internal rate of return)

$17,944 = $4,000*PVAF(i%, 6 yrs)

PVAF(i%, 6 yrs) = 17,944/4,000 = 4.486

Now, in the given present value table the value of 4.486 for 6 years is at 9%. (See the table).

Therefore the internal rate of return is 9%.

As the internal rate of return is less than cost of capital , the investment should not be made.

b) Present value of cash inflows = Annual cash inflows*PVAF(10%, 6 yrs)

= $4,000*4.355 = $17,420

Net Present Value = PV of Cash Inflows - Investment cost

= $17,420 - $17,944 = -$524

As the net present value of the investment is negative, the investment should not be made.

c) The net present value and the internal rate of return suggest the same courses of action.

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