Consider a put option on a stock index. The index is currently at 1100 and the strike of the option is 1000. The option expires in 6 months and the relevant risk-free interest rate is 2% per annum. Assume the premium paid for this put is $74.20. a) If the index is 1100 at expiration, what is the net profit of the position? b) If the index is 900 at expiration, what is the net profit