question archive For the following problems assume the effective 6-month interest rate is 2%, the S&R 6-month forward price is $1020, and use these premiums for S&R options with 6 months to expiration: Strike Call Put 950 120
Subject:FinancePrice:3.87 Bought7
For the following problems assume the effective 6-month interest rate is 2%, the S&R 6-month forward price is $1020, and use these premiums for S&R options with 6 months to expiration:
Strike | Call | Put |
950 | 120.405 | 51.777 |
1000 | 93.809 | 74.201 |
1020 | 84.47 | 84.47 |
1050 | 71.802 | 101.214 |
1107 | 51.873 | 137.167 |
Question 1: How would you create a box spread with a certain payoff of $50?
(a) Buy a call and sell a put both with a strike price of $1000 while simultaneously buying a put and selling a call with a strike price of $1050
(b) Buy a call and sell a put both with a strike price of $950 while simultaneously buying a put and selling a call with a strike price of $1050
(c) Buy a call and sell a put both with a strike price of $1000 while simultaneously buying a put and selling a call with a strike price of $1020
(d) Buy a put and sell a call both with a strike price of $1000 while simultaneously buying a call and selling a put with a strike price of $1050
Question 2: What is the implied effective 6-month interest rate from the box spread? (decimal form)
Question 3: Say you wanted to borrow $68.63 money risk-free by trading in the options above. What strategy would allow you to do this?
(a) Buy a put and sell a call both with a strike price of $950 while simultaneously buying a call and selling a put with a strike price of $1020
(b) Selling call options at strike prices of $950 and $1000, while buying a put option with a strike price of $1020
(c) Buy a put and sell a call both with a strike price of $1000 while simultaneously buying a call and selling a put with a strike price of $1050
(d) Buy a call and sell a put both with a strike price of $1000 while simultaneously buying a put and selling a call with a strike price of $1050
Question 4: According to put-call parity, what is the implied price of one share of S&R?
Answer:
1.
Buy a call and sell a put both with a strike price of $1000 while simultaneously buying a put and selling a call with a strike price of $1050
2.
=50/(93.809-74.201+101.214-71.802)-1
=1.9992%
3.
Buy a put and sell a call both with a strike price of $950 while simultaneously buying a call and selling a put with a strike price of $1020
4.
=120.405+950/(1+2%)-51.777
=1000.0005