EBK CORPORATE FINANCE
EBK CORPORATE FINANCE
11th Edition
ISBN: 8220102798878
Author: Ross
Publisher: YUZU
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Chapter 23, Problem 6QP

Real Options Sardano and Sons is a large, publicly held company that is considering leasing a warehouse. One of the company's divisions specializes in manufacturing steel, and this particular warehouse is the only facility in the area that suits the firm’s operations. The current price of stock is $690 per ton. If the price of steel falls over the next six months, the company will purchase 500 tons of steel and produce 55,000 steel rods. Each steel rod will cost $18 to manufacture, and the company plans to sell the rods for $29 each. It will take only a matter of days to produce and sell the steel rods. If the price of steel rises or remains the same, it will not be profitable to undertake the project, and the company will allow the lease to expire without producing any steel rods. Treasury bills that mature in six months yield a continuously compounded interest rate of 4.5 percent, and the standard deviation of the returns on steel is 38 percent. Use the Black-Scholes model to determine the maximum amount that the company should be willing to pay for the lease.

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You are in discussions to purchase an option on an office building with a strike price of $63 million. The building is currently valued at $60 million. The option will allow you to purchase the building either six months from today or one year from today. Six months from today, accrued rent [ayments from the building in the amount of $900,000 will be made to the owners. If you exercise the option in six months, you will receive the accrued rent payment. Otherwise, the payment will be made to the current owners. A second accrued rent payment of $900,000 will be paid one-year from today with the same payment terms. The standard deviation of the value of the building is 30 percent, and the risk-free rate is a 6 percent annual percentage rate. What is the price of the option today using six-month steps? (Hint: The value of the building in six months will be reduced by the accrued rent payment of ou do not exercise the option at the time
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