Consider a one-year European call option on a stock when the stock price is $30, the strike price is $30, the risk-free rate is 5%, and the volatility is 25% per annum. (a) Calculate the price and delta of the option (b) Suppose an investor sold 50,000 of these call options. What stock position should he take to delta-hedge the call position (c) Verify that delta is correct by changing the stock price to $30.1 and recomputing the option price (d) Compute the delta when the stock price is $30.1. What changes does the investor need to make to delta-hedge the call position. Assume the investor had already taken the delta-hedging position you found in part b