You own a lot in Lowell, Massachusetts that is currently unused. Similar lots have recently sold for $1.28 million. Over the past five years, the price of land in the area has increased 10 percent per year, with an annual standard deviation of 10 percent. A buyer has recently approached you and wants an option to buy the land in the next 12 months for $1.35 million. The risk-free rate of interest is 3 percent per year, compounded continuously. How much should you charge for the option?
$37,980.48 |
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$36,845.72 |
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$35,199.13 |
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$34,462.88 |
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$33,071.15 |
Call option value:
Answer: $37,980.48
Formulas:
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