A put option in finance allows you to sell a share of stock at a given price in the future. There are different types of put options. A European put option allows you to sell a share of stock at a given price, called the exercise price, at a particular point in time after the purchase of the option. For example, suppose you purchase a six-month European put option for a share of stock with an exercise price of $26. If six months later, the stock price per share is $26 or more, the option has no value. If in six months the stock price is lower than $26 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $26. If the price per share in six months is $22.50, you can purchase a share of the stock for $22.50 and then use the put option to immediately sell the share for $26. Your profit would be the difference, $26 − $22.50 = $3.50 per share, less the cost of the option. If you paid $1.00 per put option, then your profit would be $3.50 − $1.00 = $2.50 per share. The point of purchasing a European option is to limit the risk of a decrease in the per-share price of the stock. Suppose you purchased 200 shares of the stock at $28 per share and 100 six-month European put options with an exercise price of $26. Each put option costs $1.
(a) | Using data tables, construct a model that shows the value of the portfolio with options and without options for a share price in six months between $20 and $29 per share in increments of $1.00. What is the benefit of the put options on the portfolio value for the different share prices? For subtractive or negative numbers use a minus sign even if there is a + sign before the blank (Example: -300). If you answer is zero, enter “0”. | ||||||||||||||||||||||
|
Step by stepSolved in 3 steps with 2 images
- Suppose that a European call option to buy a share for $ 90.00 costs a . Under what circumstances will the SELLER of the option make a profit ? \$4.00 and is held until maturity . ( DRAW the GRAPH to show ALL answers ) b . when will the option be exercised ( at what price , show on graph ) ? c . What is the Maximum profit for SELLER and at what stock price ? d . What is the Maximum loss for SELLER and at what stock price ? e . What will be profit / loss for SELLER if St is 150 ?arrow_forwardConsider the following one-year European-style options relating to one share of XYZ stock, currently priced at $100. Which of the following has the largest payoff if the stock price in one year is $99.5? Possible Answers A A cash-or-nothing call with strike price $100. B An asset-or-nothing call with strike price $100. C A cash-or-nothing put with strike price $100. An asset-or-nothing put with strike price $100.arrow_forwardYou think that there is an arbitrage opportunity on the market. The current stock price of Wesley corp. is $20 per share. A one- year put option on Wesley corp. with a strike price of $18 sells for $3.33, while the identical call sells for $7. The one-year risk- free interest rate is 8%. Assuming that the put option is fairly priced, compute the fair price of the call option and explain what you must do to exploit this arbitrage opportunity and what will be your gain.arrow_forward
- 1. Put and Call options a) On the 10th of December 2020, an investor buys a call option (European) with a strike price of £30 for £3 with a maturity of three months. When will the trader exercise the option? Describe when they would lose money? b) The same investor sells a put option with a strike price of £40 for £5. What is the investor's maximum loss and maximum gain?arrow_forwardAn investor buys a 6-month European call option with an exercise price of $35 for $6, and sells a 6-month European call option with an exercise price of $40 for $4. a) What kind of a spread does this strategy create? Answer in terms of “Bull Spread” versus “Bear Spread”. b) Calculate both the total payoff and profit on this strategy at the expiration of the options. Please use a Table (as in the class notes) to identify the payoff and profit.arrow_forwardSuppose you combine two option contracts as follows. You buy a call option on a stock with an exercise price of $65 for a premium of 9$. At the same time you sell a call option on the same stock with an exercise price of $75 for a premium of $4. Both calls expire at the same time. The stock sells currently at $72. Answer the following questions about this investment strategy: 1. Determinethevalueatexpiration(thepayoffs)andtheprofitunderthefollowingoutcomes: a. The price of the stock at expiration is $78b. The price of the stock at expiration is $69c. Thepriceofthestockatexpirationis$62 2. Determine the following:a. The maximum profit b. The maximum loss 3. Determinethebreakevenstockpriceatexpiration(thestockpriceforwhichyourstrategydeliversno profit and no loss). 4. Depictthepayoffandprofitdiagramsofyourinvestmentstrategy.arrow_forward
- Suppose that you plan to invest in stock A, because you believe that stock A will appreciate in the next 6 months. The stock current price is $100, and a call option on stock A expiring in 6 months has an exercise price of $100 selling at $15 per option. And you have $7500 in hand to invest the following three strategies: A: Invest entirely in stock A. B: Invest entirely in call option on stock A. C: Buy call options the amount of calls is same as the number of shares we purchase in strategy A, and invest the remaining money in T-bills at interest rate whose annual interest rate is 10%. Suppose that the possible stock price are $90, $100, $110, and $120. (a) At expiration (after 6 months), compute the rates of return for each strategy given different possible stock prices. We don't consider the premium we’ve paid for holding call options in this case. (b) Given different stock price at expiration, which strategy would you like to choose? For example, if the stock price is $90, which…arrow_forwardOne month ago you purchased a put option on the S&P500 Index with an exercise price of $900.00. Today is the expiration date, and the index is at $896.46. a. Will you exercise the option? b. What will be your profit?arrow_forwardPreviously, you purchased a European put option on Parlicoot Inc shares. The option has just matured. The strike price on the option is 98.17, while the current stock price is 89.19. What is your payoff?arrow_forward
- Suppose you are a seller . At time t = 0 you get £C from the buyer where C is the risk-neutral price of the option. You then have to design a hedging strategy which would allow you to meet your financial obligation in one year’s time. Your portfolio should consist of two investments: you are allowed to buy the underlying shares and to deposit money in the bank. The price of the share evolves according to a geometric Brownian motion. State the formulae you will need to compute the number of shares in the portfolio and the capital deposited in the bank at any time t, 0 ≤ t ≤ 1.arrow_forwardToday's price of Microsoft (MSFT) is $150 per share. A retail investor purchases an at-the-money European put option on MSFT with a maturity of one year. She pays a premium of $14.11. The c.c. risk-free interest rate is one percent. What is the potentiality value of the option? Round your answer to three decimal places.arrow_forward
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education