Corporate Finance 534 Chapter 3
1. Honda Motor Company is considering offering a $2000 rebate on its minivan, lowering the vehicle’s price from $30,000 to $28,000. The marketing group estimates that this rebate will increase sales over the next year from 40,000 to 55,000 vehicles. Suppose Honda’s profit margin with the rebate is $6000 per vehicle. If the change in sales is the only consequence of this decision, what are its costs and benefits? Is it a good idea?
2. You are an international shrimp trader. A food producer in the Czech Republic offers to pay you 2 million Czech koruna today in exchange for a year’s supply of frozen shrimp. Your Thai supplier will provide you with the same supply for 3 million Thai baht today. If the current competitive market exchange rates are 25.50 koruna per dollar and 41.25 baht per dollar, what is the value of this deal?
3. Suppose the current market price of corn is $3.75 per bushel. Your firm has a technology that can convert 1 bushel of corn to 3 gallons of ethanol. If the cost of conversion is $1.60 per bushel, at what market price of ethanol does conversion become attractive?
4. Suppose your employer offers you a choice between a $5000 bonus and 100 shares of the company stock. Whichever one you choose will be awarded today. The stock is currently trading for $63 per share.
a. Suppose that if you receive the stock bonus, you are free to trade it. Which form of the bonus should you choose? What is its value?
b. Suppose that if you receive the stock bonus, you are required to hold it for at least one year. What can you say about the value of the stock bonus now? What will your decision depend on?
6. Suppose the risk-free interest rate is 4%.
a. Having $200 today is equivalent to having what amount in one year?
b. Having $200 in one year is equivalent to having what amount today?
c. Which would you prefer, $200 today or $200 in one year? Does your answer depend on when you need the money? Why or why not?
7. You have an investment opportunity in Japan. It requires an investment of $1 million today and will produce a cash flow of ¥ 114 million in one year with no risk. Suppose the risk-free interest rate in the United States is 4%, the risk-free interest rate in Japan is 2%, and the current competitive exchange rate is ¥ 110 per $1. What is the NPV of this investment? Is it a good opportunity?
8. Your firm has a risk-free investment opportunity where it can invest $160,000 today and receive $170,000 in one year. For what level of interest rates is this project attractive?
9. You run a construction firm. You have just won a contract to build a government office building. Building it will take one year and require an investment of $10 million today and $5 million in one year. The government will pay you $20 million upon the building’s completion. Suppose the cash flows and their times of payment are certain, and the risk-free interest rate is 10%.
a. What is the NPV of this opportunity?
b. How can your firm turn this NPV into cash today?
10. Your firm has identified three potential investment projects. The projects and their cash flows are shown here:
Suppose all cash flows are certain and the risk-free interest rate is 10%.
a. What is the NPV of each project?
b. If the firm can choose only one of these projects, which should it choose?
c. If the firm can choose any two of these projects, which should it choose?
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