Consider the October 2015 IBM call and put options in the table Ignoring the negligible interest you might earn on T-Bills over the remaining few days' life of the options, show that there is no arbitrage opportunity using put-call parity for the options with a $140 strike price.?
Specifically:
a. What is your? profit/loss if you buy a call and T-Bills, and sell IBM stock and a put option? (Select the best answer below)
A. Sell call and T-Bills, buy stock and put = -$9.50 + $140.00-$148.72+$0.35=-$17.87
B. Sell call and T-Bills, buy stock and put = +$9.15 + $140.00-$149.04-$0.36=-$0.25
C. Sell call and T-Bills, buy stock and put = +$9.15 - $140.00+149.04-$0.36=$17.83
D. Sell call and T-Bills, buy stock and put = -$9.50 - $140.00+$148.72+$0.35=-$0.43
b. What is your profit/loss if you buy IBM stock and a put? option, and sell a call and T-Bills? (Select the best answer below)
A. Sell call and T-Bills, buy stock and put = +$9.15 + $140.00-$149.04-$0.36=-$0.25
B. Sell call and T-Bills, buy stock and put = -$9.50 + $140.00-$148.72+$0.35=-$17.87
C. Sell call and T-Bills, buy stock and put = -$9.50 - $140.00+$148.72+$0.35=-$0.43
D. Sell call and T-Bills, buy stock and put = +$9.15 - $140.00+$149.09-$0.36=$17.83
c. Explain why your answers to (a) and (b) are not both zero. (select the best choice)
A. Both negative due to transactions costs: call spread ($0.32)+put spread ($0.01)+stock spread ($0.35)=$0.68 in total loss in (a) and (b).
B. Both negative due to transactions costs: call spread ($0.35)+put spread ($0.32)+stock spread ($0.01)=$0.68 in total loss in (a) and (b).
C. Both negative due to transactions costs: call spread ($0.01)+put spread ($0.35)+stock spread ($0.32)=$0.68 in total loss in (a) and (b).
D. Both negative due to transactions costs: call spread ( $ 0.35) + put spread ($ 0.01) + stock spread ($ 0.32) = $0.68 in total loss in
(a) and (b).
d. Do the same calculation for the October options with a strike price of $150. What do you find How can you explain this?
Is the following statement true or false?
"In this case, there appears to be a small profit if we buy the stock and the put, and sell the call and a risk-free bond with a face value of $150: negative $ 2.47 minus $ 149.04 plus $ 1.53 plus $ 150 equals $ 0.02−$2.47−$149.04+$1.53+$150=$0.02. Of course, most traders could not actually borrow at a? 0% interest? rate, and so would receive less than $150 for the bond, eliminating this profit. And even if this were possible, after executing a few trades prices would quickly move to eliminate this arbitrage."