Question

In: Finance

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.

Solutions

Expert Solution

Strike price 1, K1 = $145

Price 1, C1 = $10

Strike price 2, K2 = $155

Price 2, C2 = $5

Bull call spread is constructed buy purchasing $145 strike call option by paying $10 and selling $155 strike call option and receive $5

Net premium paid = 10 - 5 = $5

Bull call spread gross payoff = max(S - K1, 0) - max(S - K2, 0)

Bull call spread net payoff = Bull call spread payoff - Net premium paid

Screenshot with formulas


Related Solutions

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.
The stock price of Lotus is currently $220 and the call option with strike price of...
The stock price of Lotus is currently $220 and the call option with strike price of $220 is $10. A trader purchases 100 shares of Lotus stock and short 1 contract of call options with strike price of $220. As a financial analyst at Citibank, you want to answers the following two questions: a. What is the maximum potential loss for the trader? b. When the stock price is $240 and the call is exercised, what is the trader’s net...
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...
Consider a call option with a strike price of $60 where the underlying stock is currently...
Consider a call option with a strike price of $60 where the underlying stock is currently trading at $67 the continuously compounded risk free rate is 5%, and the standard deviation of the stock returns is 40% per year. The option has 9 months to expiration. Using the Black-Scholes model, what is the value of the call option?
The current price of a stock is $84. A one-month call option with a strike price...
The current price of a stock is $84. A one-month call option with a strike price of $87 currently sells for $2.80. An investor who feels that the price of the stock will increase is trying to decide between two strategies that require the same upfront cost: Buying 100 shares or buying 3,000 call options (30 call option contracts). How high does the stock price have to rise for the option strategy to be more profitable?
Consider a call option on a stock, the stock price is $23, the strike price is...
Consider a call option on a stock, the stock price is $23, the strike price is $20, the continuously risk-free interest rate is 9% per annum, the volatility is 39% per annum and the time to maturity is 0.5. (i) What is the price of the option? (6 points). (ii) What is the price of the option if it is a put? (6 points) (iii) What is the price of the call option if a dividend of $2 is expected...
A stock currently sells for $32. A 6-month call option with a strike price of $35...
A stock currently sells for $32. A 6-month call option with a strike price of $35 has a price of $2.27. Assuming a 4% continuously compounded risk-free rate and a 6% continuous dividend yield: a)What is the price of the associated put option? b)What are the arbitrage opportunities if the price of the put option was $5? c)What if this price was $6?
A stock currently sells for $32. A 6-month call option with a strike price of $35...
A stock currently sells for $32. A 6-month call option with a strike price of $35 has a price of $2.27. The price of the put option that satisfies the put-call-parity is $5.5229.Assuming a 4% continuously compounded risk-free rate and a 6% continuous dividend yield: a) What are the arbitrage opportunities if the price of the call option in question 5 was $2? b)What if this price was $3?
2) The current price of a stock is $84. A one-month call option with a strike...
2) The current price of a stock is $84. A one-month call option with a strike price of $87 currently sells for $2.80. An investor who feels that the price of the stock will increase is trying to decide between two strategies that require the same upfront cost: Buying 100 shares or buying 3,000 call options (30 call option contracts). How high does the stock price have to rise for the option strategy to be more profitable?
A four-month call option with $60 strike price is currently selling at $5. The underlying stock...
A four-month call option with $60 strike price is currently selling at $5. The underlying stock price is $59. The risk-free rate is 12% p.a. The put with same maturity and strike price is selling at $3.5. Can an arbitrageur make riskless profit? If ‘YES’ what strategies an arbitrageur should take to make this profit? If your answer above is ‘YES’, calculate the arbitrage profit by completing the following table showing strategy (i.e., whether buying or selling put/call portfolio); position,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT