Consider a put option (that matures in one year) written on a stock worth $100 at the beginning of the year, date 0. The exercise price is $100. We assume that the price can move up by a factor of 1.02 or down by a factor 1/1.02 in each period. A risk-free investment is assumed to grow by a factor of 1.001 in each period. Assume 250 periods in a year. Compute the price of a European put option that matures in 250 periods.