FINA 4920E Chapter Notes - Chapter 13: Call Option, Put Option, Market Trend

Problem 2

The writer of a regular exchange-listed put-option on a stock:

Has the right to buy 100 shares of the underlying stock at the market price.

Has the right to sell 100 shares of the underlying stock at the exercise price.

Has the obligation to buy 100 shares of the underlying stock at the exercise price.

Has the obligation to sell 100 shares of the underlying stock at the exercise price.

Has the obligation to buy 100 shares of the underlying stock at the market price.

please really need some help with these questions

Problem 3

Suppose an investor have a put option. What will happen if the stock price on the exercise date is below the exercise price?

A. The seller will need to deliver stock to the owner of the option. B. The seller will be obliged to buy stock from the owner of the option. C. The owner will not exercise his option.
D. The option will extend for nine more months.
E. None of the above options.

Problem 5

Suppose an investor sells one share of stock and buys a call option on the stock. What will be the value of her investment on the final exercise date if the stock price is above the exercise price? (Ignore transaction costs.)

A. The value of two shares of stock.
B. The value of one share of stock plus the exercise price. C. The exercise price.
D. The value of one share of stock minus the exercise price.

E. None of the above options.

Problem 9

All else equal, as the underlying stock price decreases:

A. The put price increases.
B. The put price decreases.
C. The call price increases.
D. There is no effect on put price.
E. The put price can either increase, decrease, or remain the same.

Problem 10

All else equal, as the underlying stock volatility decreases:

A. The put price increases.
B. The put price decreases.
C. The call price increases.
D. There is no effect on put price.
E. The put price can either increase, decrease, or remain the same.

A call option gives the holder (Points : 4) the obligation to buy something the right to sell something the right to buy something the obligation to sell something none of the above Question 2. 2. A call option priced at $2 with a stock price of $30 and an exercise price of $35 allows the holder to buy the stock at (Points : 4) $2 $32 $33 $45 $35 Question 3. 3. A put option in which the stock price is $60 and the exercise price is $65 is said to be (Points : 4) in-the-money out-of-the-money at-the-money exercisable none of the above Question 4. 4. Organized options markets are different from over-the-counter options markets for all of the following reasons except (Points : 4) exercise terms physical trading floor regulation standardized contracts credit risk Question 5. 5. The advantages of the over-the-counter options market include all of the following except (Points : 4) customized contracts privately executed freedom from government regulation lower prices none of the above Question 6. 6. The option price is also referred to as the (Points : 4) strike spread premium fee none of the above Question 7. 7. An investor who exercises a call option on an index must (Points : 4) accept the cash difference between the index and the exercise price purchase all of the stocks in the index in their appropriate proportions from the writer immediately buy a put option to offset the call option immediately write another call option to offset none of the above Question 8. 8. What amount must a call writer pay if a cash-settled index call is exercised? (Points : 4) difference between the index level and the exercise price exercise price difference between the exercise price and the index level index level none of the above Question 9. 9. You are the purchaser of a call option with $5 premium and $145 exercise price. You bought this option when the stock price was $120. If the stock price now is $155, what is the net cash flow to you if you exercise? (Points : 4) $10 $5 $30 $35 Question 10. 10. You are the purchaser of a put option where the premium is $4 and exercise price is $52. You bought this option when the stock price was $52. If the stock price is $42 right now, what is your net cash flow? (Points : 4) negative $14 negative $6 $6 $4 Question 11. 11. You wrote a call option with premium of $5 and exercise price of $55. You sold this when the stock price was $45. If the stock price now is $65, what is your net cash flow? (Points : 4) negative $5 $25 $20 $5 negative $10 Question 12. 12. You wrote a put option with a premium of $3 and exercise price of $22. You sold this option when the stock price was $25. If the stock price is $22 now, what is your net cash flow? (Points : 4) $6 $3 negative $3 $0 negative $6 Question 13. 13. The maximum gain of the writer of a put option with a premium of $3 and an exercise price of $120 is: (Points : 4) $120 $117 $3 $123 unlimited Question 14. 14. The maximum gain of the purchaser of a put option with a premium of $3 and exercise price of $120 would be: (Points : 4) unlimited $120 $117 $3 $123 Question 15. 15. The maximum gain of the writer of a call option with a premium of $3 and an exercise price of $120 would be (Points : 4) unlimited $3 $117 $120 $123 Question 16. 16. The maximum gain of the purchaser of a call option with a premium of $3 and an exercise price of $120 would be (Points : 4) unlimited $120 $117 $123 $3 Question 17. 17. You have the following information: Put: X=$40, Premium=$4 Call: X=$50, Premium=$6 You bought the stock at $45 Scenarios: S=20, S=45, S=90 Given above information, please calculate the net payouts for a protective put strategy for each different scenario. (Points : 4) -$9, -$4, $41 $25, $0, $0 -$5, $-9, $0 $16, -$4, $45 Question 18. 18. You have the following information: Put: X=$40, Premium=$4 Call: X=$50, Premium=$6 You bought the stock at $45 Scenarios: S=20, S=45, S=90 Given above information, please calculate the net payouts for a covered call strategy for each different scenario. (Points : 4) $6, $6, $11 $6, $0, $51 -$19, $6, $11 -$19, $6, $51 -$6, -$6,$45 Question 19. 19. You have the following information: Put: X=$40, Premium=$4 Call: X=$50, Premium=$6 You bought the stock at $45 Scenarios: S=20, S=45, S=90 Given above information, please calculate the net payouts for a collar strategy for each different scenario. (Points : 4) -$3, $2, $7 -$9, $6, $11 $16, $2, $52 -$4, $0, $6 Question 20. 20. You have the following information: S=65, X=60, T=1, r=0, C=7, P=4 Evaluating the situation from a Put-Call Parity framework, what steps would you take to implement an arbitrage strategy? (Points : 4) Sell Call, Buy Put, Short Stock, Invest remainder Sell Call, Buy Put, Buy Stock, Borrow remainder Buy Call, Sell Put, Buy Stock, Borrow remainder Buy Call, Sell Put, Short Stock, Invest remainder Buy Call, Sell Put, Short Stock, Borrow remainder Question 21. 21. Given the information and the solution you found for Question #20, what is the arbitrage amount? (Points : 4) If S>X, then $6 and if SX, the arbitrage will be $4 If S>X, then $3 and if SX, then $2 and if SX, the arbitrage will be $2 Question 22. 22. You have the following information: S=26, X=20, T=2, r=3.4%, C=15, P=6 Evaluating the situation from a Put-Call Parity framework, what steps would you take to implement an arbitrage strategy? (Points : 4) Sell Call, Buy Put, Buy Stock, Borrow remainder Sell Call, Buy Put, Short Stock, Invest reaminder Buy Call, Sell Put, Buy Stock, Borrow remainder Buy Call, Sell Put, Buy Stock, Invest remainder Buy Call, Sell Put, Short Stock, Invest remainder Question 23. 23. Using the information and the solution from Question #22, what would be the final arbitrage amount? (approximately) (Points : 4) If S>X or SX then $9, if SX or SX then $3, if SX or S

Consider Apple Inc. as the underlying asset, use its daily adjusted closing prices from August 12, 2014 to August 12, 2015 as historical data to estimate standard deviation. Use the rate r = 0.005 as annual risk-free rate and the estimated standard deviation as the volatility of the stock. Assume you want to build a portfolio of options containing one call option with strike K₁ = 105, and one put option with strike K₂ = 120. Let C₁(t, x) denotes the call option pricing function. Let P₂(t, x) denotes the put option pricing function. Let the maturity T = 12 months. Using the adjusted closing price of August 12, 2015 as the initial stock price.

1. Compute the option prices C₁, P₂ on that date.

2. Compute the Delta of this portfolio ∆.

3. Assume we want to build a new portfolio with 3 call options with strike K₁ and n put options with strike K₂. Is there a value of n that will make this new portfolio delta neutral? If yes find n.

The Apple Inc. (AAPL) Daily Adjusted Closing Prices can be found here:

http://finance.yahoo.com/q/hp?s=AAPL&a=07&b=12&c=2014&d=07&e=12&f=2015&g=d