By NEAS - 8/17/2024 11:45:29 AM
Corporate Finance, Module 1: “Present Values and Opportunity Cost of Capital”
Practice Problems
(The attached PDF file has better formatting.)
Exercise 1.1: Shopping Mall Present Values and Returns
An investor can buy land this year for $12 million, build a shopping mall for an additional $12 million, and sell the land and the mall for $30 million in one year. Investors building similar projects expect to receive 15% returns.
A. What is the expected return from the mall-building venture? B. What is the present value of the land plus mall? C. What is the net present value of the project?
Solution 1.1:
Part A: The total investment is $12 million + $12 million = $24 million. The profit is $30 million – $24 million = $6 million. The expected return is $6 million / $24 million = 25%.
Part B: The present value of the land plus mall is $30 million / 1.15 = $26.087 million.
Part C: The net present value is the present value minus the cost, or $26.087 million – $24 million = $2.087 million.
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