The current price of the SPY is $250 per share, the risk-free interest rate is 5%, and the annualized volatility is 15%. Use the Black-Scholes formula to calculate N(d1), N(d2), and the premium for a 3 month call with a strike of $275? Remember that 3 months is 0.25 of a year.

An investor purchases a call with a strike of $275 and purchases a put with a strike of $240.

a. What is the premium of the combined structure and how does it change if the price of the underlier increases to $255? Hint: this involves the delta of both the call and the put.

b. Draw the payoff diagram for the combined structure from part a. Indicate on the figure when the investor will break even. Hint: consider the values of S_T where the payoff from the option be equal to the combined premium