Case 20 Answer Key-3 (3)

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Apr 3, 2024

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Case 20: Answer Key 1. A) NPV of modernizing existing paper mill = $63,497,702. We arrive at this using the following inputs: CF 0 = -154,700,000 Total annual cash flow minus existing annual cash flow = incremental annual cash flow: $40,634,680 - $11,422,320 = $29,212,360 So, CF 1-20 = 29,212,400 I = 12% N = 20 years PV = 218,197,702 – 154,700,000 = NPV of 63,497,702 B) NPV of building new facility = $100,547,473. We arrive at this using the following inputs: CF 0 = -618,800,000 Total annual cash flow minus existing annual cash flow = incremental annual cash flow: $107,728,000 - $11,422,320 = $96,305,680 So, CF 1-20 = 96,305,680 I = 12% N = 20 years PV = 719,347,473 – 618,800,000 = NPV of 100,547,473 2. A) IRR for modernization = 18.22%. IRR for new plant = 14.5% B) Payback on modernization = $154,700,000 / $29,212,360 = 5.3 years. Payback on new plant = $618,800,000 / $96,305,680 = 6.4 years. 3. A) Both NPV and IRR methods indicate we should proceed with investment; however, NPV is higher when building the new plant so this is the better option. B) Modernizing the plant produces a higher IRR than building a new plant primarily because of the lower initial investment. We can get divergent signals (between NPV and IRR) when evaluating mutually exclusive alternative projects because cash flow patterns will differ between projects and IRR will generally be higher for projects with lower initial investments. 5. I would recommend investing in the new facility. Although both potential projects offer a rate of return greater than the company’s cost of capital, as indicated by IRR, building the new facility is projected to generate much greater wealth for shareholders as indicated by NPV. This is the ultimate test for an investment project.
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