You would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $106 at year-end. XYZ currently sells for $106. Over the next year the stock price will increase by 8% or decrease by 8%. The T-bill rate is 6%. Unfortunately, no put options are traded on XYZ Co.

a. Suppose the desired put option were traded. How much would it cost to purchase? (Do not round intermediate calculations and round your final answer to 2 decimal places.)

b. What would have been the cost of the protective put portfolio? (Do not round intermediate calculations and round your final answer to 2 decimal places.)

c. What portfolio position in stock and T-bills will ensure you a payoff equal to the payoff that would be provided by a protective put with X = 106? Show that the payoff to this portfolio and the cost of establishing the portfolio match those of the desired protective put.

Portfolio	S = 97.52	S = 114.48
Buy 0.5 shares	48.76	57.24
Invest in T-bills
Total

Please show work and/or reasoning if possible.