Question: Problem 2. Suppose you are interested in determining arbitrage-free prices for a European call option and (an otherwise identical) European put option. The underlying stock

Problem 2. Suppose you are interested in
Problem 2. Suppose you are interested in determining arbitrage-free prices for a European call option and (an otherwise identical) European put option. The underlying stock does not pay dividends, and its current price is S = $100. For both options, the exercise price K = $115, u = e"vat, d = ecovat, and the length of each timestep is ot = 1/6. Furthermore, the riskless rate of interest r = 3% per year, the underlying stock's volatility o = 25% per year, and both options expire 6 months from today. A. (20 points) What is the arbitrage-free price for the call option? B. (10 points) What is the arbitrage-free price for the put option? C. (20 points) Suppose that a change in the company's corporate risk management policy increases annualized volatility from o = 25% to o = 30%. Calculate the effect that this change will have on the arbitrage-free prices for the call and put options, and explain why these prices changed in the manner that they did.Problem 2. Suppose you are interested in determining arbitrage-free prices for a European call option and (an otherwise identical) European put option. The underlying stock does not pay dividends, and its current price is S = $100. For both options, the exercise price K = $115, u = e"vat, d = ecovat, and the length of each timestep is ot = 1/6. Furthermore, the riskless rate of interest r = 3% per year, the underlying stock's volatility o = 25% per year, and both options expire 6 months from today. A. (20 points) What is the arbitrage-free price for the call option? B. (10 points) What is the arbitrage-free price for the put option? C. (20 points) Suppose that a change in the company's corporate risk management policy increases annualized volatility from o = 25% to o = 30%. Calculate the effect that this change will have on the arbitrage-free prices for the call and put options, and explain why these prices changed in the manner that they did

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