Need help with number 5

1. Calculate the price of a call and a put option with exercise price $10 and 26 weeks to maturity by using Black Scholes. The initial price of the stock is $13. The risk free rate is 2.43% per year and the standard deviation of stock returns is 12% per year.
2. An investor decided to put $205,990 in a fund tracking the DJIA. The settlement price for the mini Dow maturing in December is 24464 while the Dow is at 24511 today. The average and standard deviation of the Dow returns are 7.88% and 10.87% respectively. Find the gains/losses for investing in the mutual fund and entering into one futures contract.
3. Calculate the gains or losses for the long and short position in a Eurodollar futures contract if the initial settlement price is 98.355 and the final settlement price is 97.9350. Use the standard Eurodollar futures contract of 1 million dollars at 90 days.
4. The stock of question 1 has a price of $13, which can later be $15 or $11 with different probabilities. The options (calls and puts), with exercise price $10, are the ones you valued in question 1. For all range of probabilities:

A.Calculate the expected returns and standard deviation for a covered call and protective put portfolio.

B.How do the standard deviation of these three alternatives compare?

C.For which combination of probabilities each alternative have a positive return?