Write down the formulas for an investments NPV and rate of return. Prove that NPV is positive
Question:
Write down the formulas for an investment’s NPV and rate of return. Prove that NPV is positive only if the rate of return exceeds the opportunity cost of capital.
Opportunity CostOpportunity cost is the profit lost when one alternative is selected over another. The Opportunity Cost refers to the expected returns from the second best alternative use of resources that are foregone due to the scarcity of resources such as land,...
Step by Step Answer:
Let INV investment required at time t 0 ie INV C 0 and let x rate ...View the full answer
Principles of Corporate Finance
ISBN: 978-0072869460
7th edition
Authors: Richard A. Brealey, Stewart C. Myers
Related Video
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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