You own a lot in Key West, Florida, that is currently unused. Similar lots have recently sold for $1,370,000. Over the past five years, the price of land in the area has increased 5 percent per year, with an annual standard deviation of 28 percent. You have approached a buyer and would like the option to sell the land in the next 12 months for $1,520,000. The risk-free rate of interest is 3 percent per year, compounded continuously.
What is the price of the put option necessary to guarantee your sales price? (Round your answer to 2 decimal places. (e.g., 32.16))