You are attempting to value a put option with an exercise price of $180 and one year to expiration. The underlying stock pays no dividends, its current price is $180, and you believe it has a 50% chance of increasing to $250 and a 50% chance of decreasing to $90. The risk-free rate of interest is 10%. a. What will be the payoff to the put, Pw, if the stock goes up? Payoff b. What will be the payoff, Pd, if the stock price falls? Payoff - c. What is the weighted average value of the pay off? (Do not round intermediate calculations. Round your answer to 3 decimal places.) Discounting weighted average You are attempting to value a put option with an exercise price of $180 and one year to expiration. The underlying stock pays no dividends, its current price is $180, and you believe it has a 50% chance of increasing to $250 and a 50% chance of decreasing to $90. The risk-free rate of interest is 10%. a. What will be the payoff to the put, Pw, if the stock goes up? Payoff b. What will be the payoff, Pd, if the stock price falls? Payoff - c. What is the weighted average value of the pay off? (Do not round intermediate calculations. Round your answer to 3 decimal places.) Discounting weighted average