You own a lot in Key West, Florida, that is currently unused. Similar lots have recently sold for $1,320,000. Over the past five years, the price of land in the area has increased 6 percent per year, with an annual standard deviation of 32 percent. A buyer has recently approached you and wants an option to buy the land in the next 12 months for $1,470,000. The risk-free rate of interest is 4 percent per year, compounded continuously.

How much should you charge for the option? what is the put price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) 20 points