You own a lot in Key West, Florida, that is currently unused. Similar lots have recentl sold for $1,310,000. Over the past five years, the price of land in the area has increased percent per year, with an annual standard deviation of 31 percent. You have approache a buyer and would like the option to sell the land in 12 months for $1,460,000. The risk free rate of interest is 5 percent per year, compounded continuously. What is the price of the put option necessary to guarantee your sales price? (Do no round intermediate calculations and round your answer to 2 decimal places, e.g. 32.16.) Price of put option $ 208,531.70

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
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 $1,310,000. Over the past five years, the price of land in the area has increased 5
percent per year, with an annual standard deviation of 31 percent. You have approached
a buyer and would like the option to sell the land in 12 months for $1,460,000. The risk-
free rate of interest is 5 percent per year, compounded continuously.
What is the price of the put option necessary to guarantee your sales price? (Do not
round intermediate calculations and round your answer to 2 decimal places, e.g.,
32.16.)
Price of put option
$
208,531.70
M
Transcribed Image Text:You own a lot in Key West, Florida, that is currently unused. Similar lots have recently sold for $1,310,000. Over the past five years, the price of land in the area has increased 5 percent per year, with an annual standard deviation of 31 percent. You have approached a buyer and would like the option to sell the land in 12 months for $1,460,000. The risk- free rate of interest is 5 percent per year, compounded continuously. What is the price of the put option necessary to guarantee your sales price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Price of put option $ 208,531.70 M
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