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Brooks Clinic is considering investing in new heart-monitoring equipment. It has

ID: 2481067 • Letter: B

Question

Brooks Clinic is considering investing in new heart-monitoring equipment. It has two options. Option A would have an initial lower cost but would require a significant expenditure for rebuilding after 4 years. Option B would require no rebuilding expenditure, but its maintenance costs would be higher. Since the Option B machine is of initial higher quality, it is expected to have a salvage value at the end of its useful life. The following estimates were made of the cash flows. The company’s cost of capital is 8%. Option A Option B Initial cost $160,000 $227,000 Annual cash inflows $71,000 $80,000 Annual cash outflows $30,000 $31,000 Cost to rebuild (end of year 4) $50,000 $0 Salvage value $0 $8,000 Estimated useful life 7 years 7 years Instructions (a) Compute the (1) net present value, (2) profitability index, and (3) internal rate of return for each option. (Hint: To solve for internal rate of return, experiment with alternative discount rates to arrive at a net present value of zero.) (b) Which option should be accepted?

Explanation / Answer

1. NPV & 2. PI

3. IRR

4. Option B should be accepted as it has higher NPV & PI is > 1.

Option A Option B Year Net Cash Flows Discounted Rate Discounted cash flows Year Net Cash Flows Discounted Rate Discounted cash flows 0 (160,000) 0 (227,000) 1     41,000            0.93      37,963 1     49,000               0.93      45,370 2     41,000            0.86      35,151 2     49,000               0.86      42,010 3     41,000            0.79      32,547 3     49,000               0.79      38,898 4     (9,000)            0.74       (6,615) 4     49,000               0.74      36,016 5     41,000            0.68      27,904 5     49,000               0.68      33,349 6     41,000            0.63      25,837 6     49,000               0.63      30,878 7     41,000            0.58      23,923 7     57,000               0.58      33,259 NPV     16,710 NPV     32,780 Profitability Index = 1+NPV/Initial Investment         1.10 Profitability Index = 1+NPV/Initial Investment         1.14
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