In: Finance
You own a lot in Key West, Florida, that is currently unused.
Similar lots have recently sold for $1,230,000. Over the past five
years, the price of land in the area has increased 5 percent per
year, with an annual standard deviation of 34 percent. A buyer has
recently approached you and wants an option to buy the land in the
next 12 months for $1,380,000. The risk-free rate of interest is 5
percent per year, compounded continuously.
How much should you charge for the option? (Enter your
answer in dollars, not millions of dollars. Do not round
intermediate calculations and round your answer to 2 decimal
places, e.g., 1,234,567.89.)