Question

In: Finance

Advance Auto Parts (AAP) is currently trading at $94.28. I buy a June call option on...

Advance Auto Parts (AAP) is currently trading at $94.28. I buy a June call option on AAP at $100 with premium $3.30. I write two June AAP calls at strike price $105 and premium $1.50 each.

a. What type of strategy is this?

b. Prepare a profit and loss matrix with long call, short call and combination for prices of $98, $103, and $111.

c. What would the break-even prices be?

d. Draw a general payoff profile showing long call, short calls and what you think the combination would look like.   

Solutions

Expert Solution

a]

This is a short call ratio spread strategy, or a 1:2 ratio vertical spread strategy.

b]

Payoff of a long call option = Max[S-X, 0] - P

Payoff of a short call option = P - Max[0, S-X]

S = underlying price at expiry,

X = strike price

P = premium paid or received (long options involve paying premium, and short options receive premium)

The formulas are below :

c]

net debit = total premium paid = ($3.30 - ($1.50 * 2)) = $0.30

Upper break even = lower strike price + net debit

Upper break even = $100 + $0.30 = $100.30

Lower break even = higher strike price + (higher strike price - lower strike price - net debit)

Lower break even = $105 + ($105 - $100 - $0.30) = $109.70

d]

This is the payoff profile


Related Solutions

The put option of Joe Inc. is currently trading at $2.50 while the call option premium...
The put option of Joe Inc. is currently trading at $2.50 while the call option premium is $7.50. Both the put and the call have an exercise price of $25. Joe Inc. stock is currently trading at $32.25 and the risk free rate is 3%. The options will expire in one month. I. An investor applies a protective put strategy by buying the put option of Joe Inc. to protect his holding of the company’s stock. This strategy creates a...
Stock XYZ is currently trading at $50. A JUN 60 call option on the stock is...
Stock XYZ is currently trading at $50. A JUN 60 call option on the stock is quoted at $12.65. The delta on the call is 0.5866, and its gamma is 0.0085. At the same time, a JUN 65 call option on this stock is quoted at $17.75 with a delta of 0.5432 and gamma of 0.0089. You currently have a short position on the JUN 60 call for 60 contracts. The risk-free rate is 5%. (1) Construct a hedging strategy...
A stock is currently trading at $20. The call option at $20 strike price for September...
A stock is currently trading at $20. The call option at $20 strike price for September 2020 costs $1 per share while the September put at $20 strike price costs $.50 per share. a) What’s a straddle strategy for this stock; b) Explain the risk and reward as stock price goes up to more than $22 ; c) Explain the risk and reward as stock price trades below $21.
A stock is currently trading at $100. Consider a European call option with 1 year to...
A stock is currently trading at $100. Consider a European call option with 1 year to maturity and strike price $105. The continuously compounded risk-free interest rate is 10% per annum. The option currently trade at $7.5 Calculate the implied volatility.
You buy a call option and you buy a put option on firm DFE. The call...
You buy a call option and you buy a put option on firm DFE. The call option has a strike price of $50 and you pay a premium of $4. The put option also has a strike price of $50 and you pay a premium of $4. Both options expire at the same time in three months from now. 20. You are betting that the stock price of DFE: A) Will remain fairly constant B) Will increase by a large...
Assume a stock is currently trading at $150. One call option has a strike price of...
Assume a stock is currently trading at $150. One call option has a strike price of $145 and costs $10, and another call option has a strike price of $155 and costs $5. Show the gross and net pay-off table of a Bull spread on call option, and show the graph of the net payoff diagram. Hint: Consider the three possible stock positions: S ≤ K1,K1 < S < K2, S ≥ K2.
X Stock is currently trading for $32.80. If its January $35.00 strike call option has a...
X Stock is currently trading for $32.80. If its January $35.00 strike call option has a $1.50 premium and you want to sell 5 contracts, briefly explain what that entitles or potentially requires you to do. Is the contract in or out-of-the-money? Also, what would your dollar maximum gain, maximum loss, and break-even price (market price) be with this strategy (assume you don’t own HDS…and you hold the contract to expiration)? Last, briefly explain why this $1.50 premium is relative...
3. A six-month call option is the right to buy stock at $30. Currently, the stock...
3. A six-month call option is the right to buy stock at $30. Currently, the stock is selling for $32 and the call is selling for $3. You are considering buying 100 shares of the stock ($3,000) or one call option ($300). a) If the price of the stock rises to $39 within six months, what would be the profits or losses on each position? What would be the percentage gains or losses? b) If the price of the stock...
Suppose a European call option to buy a share for $22.50 costs $1.75. The stock currently...
Suppose a European call option to buy a share for $22.50 costs $1.75. The stock currently trades for $20.00. If the option is held to maturity under what conditions does the holder of the option, make a profit? Note: ignore time value of money. How would the answer change if this was an American call option?
Suppose I set up an investment strategy in the following way: I buy a call option...
Suppose I set up an investment strategy in the following way: I buy a call option contract, strike price $50, for a premium of $5 I write a call option contract, strike price $55, for a premium of $2 Assume that the options are on the same underlying asset, have the same expiry date and are both on 1 unit of the underlying asset. Construct a chart of the profit/loss at expiry, considering future asset prices from $20 to $80...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT