You own a lot in Key West, Florida, that is currently unused. Similar lots have recently sold for $1.7 million. Over the past five years, the price of land in the area has increased 11 percent per year, with an annual standard deviation of 17 percent. A buyer has recently approached you about buying the land in the next 10 months for $1,920,000. The risk-free rate of interest is 4 percent per year, compounded continuously. You want the option to sell the land to the buyer in one year. What is the price of the transaction today?
You own a lot in Key West, Florida, that is currently unused. Similar lots have recently sold for $1.7 million. Over the past five years, the price of land in the area has increased 11 percent per year, with an annual standard deviation of 17 percent. A buyer has recently approached you about buying the land in the next 10 months for $1,920,000. The risk-free rate of interest is 4 percent per year, compounded continuously. You want the option to sell the land to the buyer in one year. What is the price of the transaction today?
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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You own a lot in Key West, Florida, that is currently unused. Similar lots have recently sold for $1.7 million. Over the past five years, the price of land in the area has increased 11 percent per year, with an annual standard deviation of 17 percent. A buyer has recently approached you about buying the land in the next 10 months for $1,920,000. The risk-free rate of interest is 4 percent per year, compounded continuously. You want the option to sell the land to the buyer in one year. What is the price of the transaction today?
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