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1) You have been hired by Drs. Dewey, Cheetham and Howe to help with NPV analysi

ID: 2754440 • Letter: 1

Question

1)      You have been hired by Drs. Dewey, Cheetham and Howe to help with NPV analysis for a replacement project. These three New Haven radiologists need to replace their existing, aging X-Ray equipment with new imaging equipment. They have calculated all the necessary figures but are unsure about how to account for the sale of their old machine. The original depreciation basis of the old machine is $200,000 and the accumulated depreciation follows the 5 year MACRS.   They sold the old machine after the 4th year for $85,000 cash. Assume a tax rate for the company is 40 percent. a)      What is the book value of the old X-Ray machine? b)     What is the taxable gain (loss) on the sale of the old equipment? c)      Calculate the tax on the gain (loss). d)     What is the net cash flow from the sale of the old equipment? Is this an inflow or an outflow? e)      Assume the new imaging equipment costs $400,000 and they do not expect a change in net working capital. Calculate the incremental cash flow for t0. f)       Assume they could only sell the old equipment for $5,000. Recalculate parts b-d. g)      Like risk investments have a return of 10%. What is the NPV in total if they sold the old machine for $5,000 and operated the new machine for 6 years, using 5 year MACRS depreciation, and had 6 years of $100,000 incremental cash flows with no change in net working capital, no salvage value and no additional expenses? MACRS 1) 30% 2) 32% 3) 19.20% 4) 11.52% 5) 11.52% 6) 5.76 1)      You have been hired by Drs. Dewey, Cheetham and Howe to help with NPV analysis for a replacement project. These three New Haven radiologists need to replace their existing, aging X-Ray equipment with new imaging equipment. They have calculated all the necessary figures but are unsure about how to account for the sale of their old machine. The original depreciation basis of the old machine is $200,000 and the accumulated depreciation follows the 5 year MACRS.   They sold the old machine after the 4th year for $85,000 cash. Assume a tax rate for the company is 40 percent. a)      What is the book value of the old X-Ray machine? b)     What is the taxable gain (loss) on the sale of the old equipment? c)      Calculate the tax on the gain (loss). d)     What is the net cash flow from the sale of the old equipment? Is this an inflow or an outflow? e)      Assume the new imaging equipment costs $400,000 and they do not expect a change in net working capital. Calculate the incremental cash flow for t0. f)       Assume they could only sell the old equipment for $5,000. Recalculate parts b-d. g)      Like risk investments have a return of 10%. What is the NPV in total if they sold the old machine for $5,000 and operated the new machine for 6 years, using 5 year MACRS depreciation, and had 6 years of $100,000 incremental cash flows with no change in net working capital, no salvage value and no additional expenses? MACRS 1) 30% 2) 32% 3) 19.20% 4) 11.52% 5) 11.52% 6) 5.76

Explanation / Answer

Answer to the 1st 4 parts:

a) Book value of machinery at the end of 4 years = $34,560

b) Taxable gain = $50,440

c) Tax on gain = $20,176

d) Net cash inflow = $64,824

Explanation:

Year Original Cost Depreciation rate % Depreciation Book value compu. 1 200000 20% 40000 2 32% 64000 3 19.20% 38400 4 11.52% 23040 Total depreciation since beginning 165440 Book value at the end of 4th year 34560 ($200,000 - $185,440)