For three 6-month American call options on a stock, you are given the following information: (i) One with strike price 45 sells for 6.30. (ii) One with strike price 44 sells for 7.00. (iii) One with strike price 40 sells for 9.50. The option with strike 44 is overpriced based on the convexity property of option premiums. You therefore sell it and purchase x 40-strike calls and y 45-strike calls (note that we do not necessarily need to have x + y = 1). Determine the maximal and the minimal values of x and y in order to create an arbitrage

For three 6-month American call options on a stock, you are given the following information: (i) One with strike price 45 sells for 6.30. (ii) One with strike price 44 sells for 7.00. (iii) One with strike price 40 sells for 9.50. The option with strike 44 is overpriced based on the convexity property of option premiums. You therefore sell it and purchase x 40-strike calls and y 45-strike calls (note that we do not necessarily need to have x + y = 1). Determine the maximal and the minimal values of x and y in order to create an arbitrage

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A one-year call option on a stock with a strike price of $30 costs $3; a one-year put option on the sto of $30 costs $4. Suppose that a trader buys two call options and one put option. The breakeven sto the trader makes a profit is A) $28 B $20 C) $26 D $25
You purchase 20 call option contracts with a strike price of $110 and a premium of $1.85. Assume the stock price at expiration is $119.12. a. What is your dollar profit? (Do not round intermediate calculations.) Dollar profit S 14,540 b. What is your dollar profit if the stock price is $105.07? (A negative value should be indicated by a minus sign. Do not round intermediate calculations.) If the stock price is $105.07, the call is worthless so the dollar profit is $
Q1. You have purchased a call option on Johnson & Johnson common stock. The option has an exercise price of $57.50 and J & J’s stock currently trades at $58.93. The option premium is $2.17 per contract. Calculate your net profit on the option if J & J’s stock price rises to $62.50 and your exercise the option. Calculate your net profit on the option if J & J’s stock price falls to $58.00 and your exercise the option. If J & J’s stock price falls to $58.00 show that it is more profitable to exercise than not exercise the option you have purchased.
a one year call option on a stock with a price of $40 costs $1; a one-year put option on the stock with a strike price of $35 costs $4. suppose that a trader buys two cal options and one put option. the breakeven stock price above which the trader makes a profit is a) $42 b) $45 c) $44 d) $43
Suppose you write the following put option (1 option, not 1 contract containing 100 options). What is the payoff and profit at expiration if the stock price is $75? Put Strike Symbol 80 ABC210621C00040000 Last 3.32 a. payoff is -5.00; profit is 1.68 X b. payoff is -5.00; profit is 3.32 c. payoff is 0; profit is 0 d. payoff is -5.00; profit is -1.68 e. payoff is 0; profit is -3.32 Chg 1.47
parts a, b, c Suppose an investor is considering a multi option strategy on a stock with a currentprice of $100. The following strategy is called a strangle. The investor purchases a call optionwith a strike price of $110 for a premium of $5 and purchases a put option with a strike priceof $90 for a premium of $3.a) Draw a payout diagram for the strangle option strategy at expiration.b) Determine the breakeven points for the strangle option strategy.c) Suppose the stock price at expiration is $120. What is the profit for the strangle optionstrategy?d) Suppose the stock price at expiration is $85. What is the profit for the strangle optionstrategy?e) What is the investor speculating on with her option strategy?
I2 Consider a pair of call and put options with the same expiration date but different strike prices. Theput option has a strike price of $45 and is currently priced at $6.00. The call option has a strike priceof $35 and is currently trading at a price of $6.50. The current stock price is $40 per share. A traderis evaluating a trading strategy involving the following option positions: Long 1 put options (with strike price $45) Long 2 call option (with strike price $35) a)Draw a figure/graph illustrating the profit/loss of the trading strategy. Make sure you scale and labelall the lines and points properly so that gains and losses are clearly shown.b)For what range of stock prices would the trader end up with a profit if the strategy is executed?c)Discuss the main characteristics of this strategy. When is it appropriate to use such a strategy?
Suppose an investor purchases a 3-month call option and a 3-month put option on ABC stock. The strike of the call option is $60; the strike of the put option is $65. Suppose the price of the put option is $4.20, the price of the call option is $3.50. a. Suppose the price of ABC stock at option expiry is $62 per share. What is the payoff and profit/loss on both options positions? b. What is the maximum profit the investor could have earned on his call option position? On the put position? Edit Minit
parts c, d, e Suppose an investor is considering a multi option strategy on a stock with a currentprice of $100. The following strategy is called a strangle. The investor purchases a call optionwith a strike price of $110 for a premium of $5 and purchases a put option with a strike priceof $90 for a premium of $3.a) Draw a payout diagram for the strangle option strategy at expiration.b) Determine the breakeven points for the strangle option strategy.c) Suppose the stock price at expiration is $120. What is the profit for the strangle optionstrategy?d) Suppose the stock price at expiration is $85. What is the profit for the strangle optionstrategy?e) What is the investor speculating on with her option strategy?
You have purchased a put option on Pfizer common stock. The option has an exercise price of $45 and Pfizer's stock currently trades at $47. The option premium is $0.60 per contract. a. What is your net profit on the option if Pfizer's stock price does not change over the life of the option? b. What is your net profit on the option if Pfizer's stock price falls to $41 and you exercise the option? (For all requirements, negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16)) a Net profit b. Net profit per share per share
Suppose the following for European options: Stock price $94 3-month call options with strike price $97 3-month put option with strike price $98 1-year risk-free rate is 3%. The put option is trading ot $5 and there is an identical call option that is trading for $4. The arbitrage gain that can be made is equal to: O a. $2.00 b. $0.27 Oc. $3.00 O d. $1.27 O e $227
You purchase 21 call option contracts with a strike price of $115 and a premium of $4.40. Assume the stock price at expiration is $122.46. What is your dollar profit? What is your dollar profit if the stock price is $108.41? If the stock price is $108.41, the call is ................, so the dollar return is $________