Question: Explain the process to get to the answer: 7) You are considering a project in South Africa. The expected cash flows in South African Rand
Explain the process to get to the answer:
7) You are considering a project in South Africa. The expected cash flows in South African Rand (R) from the project are provided in the time line below. Suppose that in any given year there is a 60% chance that the South African government will expropriate your assets. If your assets are expropriated in a particular year, then you will not receive that year's or any later year's cash flow from your investment. The discount rate for similar projects in the United States is 35%. The discount rate for similar projects in the South Africa is 45%. Assume the parity conditions do not hold. The current spot rate is 7.38 R/$. The rand is expected to depreciate by 10% each year for the next four years. What is the NPV of expropriation risk from the project perspective? Show all necessary calculations to support your answer.
-1,000,000R 2,000,000R 3,250,000R 5,000,000R 8,000,000R
0 1 2 3 4
60%-1=.4
ACF0 = -1,000,000R
ACF1 = 2,000,000R (.4) = 800,000R
ACF2 = 3,250,000R(.42) = 520,000R
ACF3 = 5,000,000R(.43) = 320,000R
ACF4 = 8,000,000R(.44) = 204,800R
I =45%
NPVwith expropriation risk = -49,656.36R = -6,728.50$
NPVwith out expropriation risk = 5,374,920.29R = 728,308.98$
NPVof expropriation risk = -5,424,576.65R = -735,037.48$ ???
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