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You work for a firm whose home currency is the Swedish krona (SEK) and that is considering a foreign investment. The investment yields expected after-tax Danish krone (DKK) cash flows (in millions) as follows:  Year 0   Year 1   Year 2   Year 3  -DKK486     DKK205     DKK205     DKK205  The expected rates of inflation in each country are constant per year: 6.2% in Sweden, and 3.8% in Denmark. From the project’s perspective the required return is 17.68%, while from the parent’s perspective, the required rate of return is 9.10%. The spot exchange rate is SEK123.57/DKK.Assume that covered interest rate parity holds and that firms’ management believes that relative purchasing power parity is the best way to predict future exchange rates over this investment time horizon.What is the NPV of the project from the project’s perspective?Question 27Answera.-SEK4,693.10 millionb.SEK3,953.25 millionc.SEK10,510.87 milliond.-SEK5,041.75 millione.None of the options in this question are correct.

Question

You work for a firm whose home currency is the Swedish krona (SEK) and that is considering a foreign investment. The investment yields expected after-tax Danish krone (DKK) cash flows (in millions) as follows:  Year 0   Year 1   Year 2   Year 3  -DKK486     DKK205     DKK205     DKK205  The expected rates of inflation in each country are constant per year: 6.2% in Sweden, and 3.8% in Denmark. From the project’s perspective the required return is 17.68%, while from the parent’s perspective, the required rate of return is 9.10%. The spot exchange rate is SEK123.57/DKK.Assume that covered interest rate parity holds and that firms’ management believes that relative purchasing power parity is the best way to predict future exchange rates over this investment time horizon.What is the NPV of the project from the project’s perspective?Question 27Answera.-SEK4,693.10 millionb.SEK3,953.25 millionc.SEK10,510.87 milliond.-SEK5,041.75 millione.None of the options in this question are correct.

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Solution

The Net Present Value (NPV) of the project from the project's perspective can be calculated by discounting the expected cash flows by the project's required return and then summing these discounted cash flows.

First, let's convert the cash flows from DKK to SEK using the spot exchange rate:

Year 0: -DKK486 * SEK123.57/DKK = -SEK60,015.42 million Year 1: DKK205 * SEK123.57/DKK = SEK25,331.85 million Year 2: DKK205 * SEK123.57/DKK = SEK25,331.85 million Year 3: DKK205 * SEK123.57/DKK = SEK25,331.85 million

Next, let's discount these cash flows by the project's required return of 17.68%:

Year 0: -SEK60,015.42 / (1 + 0.1768)^0 = -SEK60,015.42 million Year 1: SEK25,331.85 / (1 + 0.1768)^1 = SEK21,516.67 million Year 2: SEK25,331.85 / (1 + 0.1768)^2 = SEK18,279.68 million Year 3: SEK25,331.85 / (1 + 0.1768)^3 = SEK15,548.91 million

Finally, let's sum these discounted cash flows to get the NPV:

NPV = -SEK60,015.42 + SEK21,516.67 + SEK18,279.68 + SEK15,548.91 = -SEK4,669.16 million

So, the NPV of the project from the project's perspective is -SEK4,669.16 million. However, none of the options provided in the question match this calculated value.

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