Question: Special Motors Corporation's stock price S is $59, the strike price K is $60, the maturity T is forty-four days, the implied volatility S is 30 percent per year, and the risk-free interest rate r is 3.3 percent per year.
a. Consider a portfolio consisting of 50 shares of the stock, long 10 calls and short 30 puts. What is the portfolio's delta? (Use delta values from question)
V = c1 + n1S + n2c2
ΔV = Δc1 + n1ΔS + n2Δc2