Vilas Company is considering a capital investment of $190,900 in additional prod
ID: 2595462 • Letter: V
Question
Vilas Company is considering a capital investment of $190,900 in additional productive facilities. The new machinery is expected to have a useful life of 5 years with no salvage value. Depreciation is by the straight-line method. During the life of the investment, annual net income and net annual cash flows are expected to be $11,700 and $50,000, respectively. Vilas has a 12% cost of capital rate, which is the required rate of return on the investment.
(a)
Compute the cash payback period. (Round answer to 2 decimal places, e.g. 10.50.)
Compute the annual rate of return on the proposed capital expenditure. (Round answer to 2 decimal places, e.g. 10.50.)
(b)
Using the discounted cash flow technique, compute the net present value. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round answer for present value to 0 decimal places, e.g. 125. For calculation purposes, use 5 decimal places as displayed in the factor table provided.)
Explanation / Answer
Compute the cash payback period.
Cash payback period = Initial investment/annual cash flow
= 190900/50000
Cash payback period = 3.82 years
Compute the annual rate of return on the proposed capital expenditure.
Annual rate of return = net income*100/initial investment
= 11700*100/190900
Annual rate of return = 6.13%
Using the discounted cash flow technique, compute the net present value. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round answer for present value to 0 decimal places, e.g. 125. For calculation purposes, use 5 decimal places as displayed in the factor table provided.)
Net present value = Present value of cash inflow-present value of cash outflow
= (50000*3.60478-190900)
Net present value = (10661)
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