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Why does discounting the cash flows of a foreign investment using the foreign cost of capital, then

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Why does discounting the cash flows of a foreign investment using the foreign cost of capital, then converting that to the home currency at the spot rate, yield the same NPV as converting the projects cash flows to domestic currency at the forward rate and then discounting them at the domestic cost of capital?
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Introduction to Corporate Finance

Introduction to Corporate Finance

ISBN: 978-0324657937

2nd edition

Authors: Scott B. Smart, William L Megginson

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NPV stands for \"Net Present Value,\" which is a financial concept used to determine the value of an investment or project. It measures the difference between the present value of cash inflows and the present value of cash outflows over a given period of time, using a specific discount rate. To calculate the NPV of an investment, you need to first estimate the cash inflows and outflows associated with the investment, and then discount them back to their present values using a discount rate. The discount rate represents the cost of capital or the expected rate of return required by investors. The formula for calculating NPV is: NPV = sum of (cash inflows / (1 + discount rate)^t) - sum of (cash outflows / (1 + discount rate)^t) Where: Cash inflows: the expected cash received from the investment Cash outflows: the expected cash paid out for the investment Discount rate: the required rate of return or the cost of capital t: the time period in which the cash flow occurs If the NPV is positive, it means that the investment is expected to generate a return higher than the required rate of return or the cost of capital, and it may be considered a good investment. If the NPV is negative, it means that the investment is not expected to generate a return higher than the required rate of return or the cost of capital, and it may be considered a bad investment.

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