call option

1. The delta of the call option is given by N(d1). Verify that the the delta of the put option is given by N(d1) – 1, using the put-call parity.
2. You buy a put option with N(d1) = 0.7, K = 60, S(0) = 58, and interest rate r = 5%. How many shares of the stock should you buy or sell to have a delta-neutral position, that is, to have the delta of the portfolio equal to zero? You can use the solution to the previous problem.