Suppose that you buy for 49 dollars a share of stock. In order to hedge your investment, you decide to also buy 2 put options and sell 1 call option on the same stock. Each put costs 6 dollars and has a strike price of 40 dollars. The call costs 4 dollars, and has a strike price of 60 dollars. Find (if it exists) the maximum possible profit for your portfolio on the exercise date. If there is no maximum, then write "None" for your answer. (Note: your portfolio contains options and a share of stock.) Answer = 10 dollars.

Suppose that you buy for 49 dollars a share of stock. In order to hedge your investment, you decide to also buy 2 put options and sell 1 call option on the same stock. Each put costs 6 dollars and has a strike price of 40 dollars. The call costs 4 dollars, and has a strike price of 60 dollars. Find (if it exists) the maximum possible profit for your portfolio on the exercise date. If there is no maximum, then write "None" for your answer. (Note: your portfolio contains options and a share of stock.) Answer = 10 dollars.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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A speculative investor creates a portfolio of options written on the same underlying asset. He chooses to sell a put option with a strike of $100 and sell a call option also with a strike of $100. The two options have the same expiration. a. Sketch the payoff at maturity for a seller of a put option with a strike of $100. Carefully label the axes. b. Sketch the payoff at maturity for a seller of a call option with a strike of $100. Carefully label the axes. c. Sketch the payoff at maturity for the investor who sells both a call option and a put option each with a strike of $100. Carefully label the axes. The put option price is $14, and the price of the call option is $6. d. What is the profit at maturity for the speculative investor if the underlying asset at maturity is worth $100?
An 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.
Suppose that you sell for 8 dollars a call option with a strike price of 45 dollars, and you sell for 13 dollars each two put options with a strike price of 55 dollars. What is the minimum stock price at the exercise date that will result in you breaking even? Don't use Excel and chatgpt
There are various ways to calculate the price of a call option using the Black-Scholes model. Below is a spreadsheet that breaks the required formulas into pieces to make it easy to work with. Column (1) shows the various inputs. The first five cells are the required inputs for a non-dividend paying stock. The remainder of the cells are the formula parts. Column (2) shows a solved problem for a stock selling for $50, with an exercise price of $45, an interest rate of 6 percent, 90 days (one-quarter of a year), and a standard deviation of .235. Column (3) shows how the cell values in Column (2) were calculated. Once you have this set up in the spreadsheet, you can calculate the price of any call option by substituting the correct values in the first five cells of column (2). Spreadsheet begins in row 2. Calculating a Call Price Using the Black-Scholes Model S 50 45 R 0.06 T 0.25 S 0.235 In(S/X) 0.105361 LN(B2/B3) r+0.50? 0.087613 B4+(,5)*(B6)^2 o(t)½ 0.1175 В6*((B5)^0.5) dl 1.083095…
Suppose 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.
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…
You are attempting to value a put option with an exercise price of $108 and one year to expiration. The underlying stock pays no dividends, its current price is $108, and you believe it has a 50% chance of increasing to $130 and a 50% chance of decreasing to $86. The risk-free rate of interest is 10%. Calculate the value of a put option with exercise price $108. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. X Answer is complete but not entirely correct. Value of a put option $ 107.50
You are attempting to value a call option with an exercise price of $107 and 1 year to expiration. The underlying stock pays no dividends, its current price is $107, and you believe it has a 50% chance of increasing to $123 and a 50% chance of decreasing to $91. The risk-free rate of interest is 12%. Calculate the call option's value using the two-state stock price model. (Do not round intermediate calculations and round your final answer to 2 decimal places. Omit the "$" sign in your response.) Call option's value 60
You buy a share of stock, write a 1-year call option with X = $85, and buy a 1-year put option with X = $85. Your net outlay to establish the entire portfolio is $83.3. Required: What is the payoff of your portfolio? What must be the risk-free interest rate? The stock pays no dividends. Note: Round your answer to 2 decimal places.
2. Why is writing a naked-cal option very risky? (find out first what a naked cal-is): 3. Graph the profits and losses associated with writing a-call option on a security with a strike price of $60-and a premium of $5. 4. Suppose that you own 100 -shares of the-company in which you just wrote the option in previous question: If you puehased these shares at $50 what will your net profit/loss position look like now over, say share prices from $40 to $80? Gonstruct a table-and graph the situation:
You bought (that is, you are “long”) both a put option and a call option on Strockfoot stock with the same expiration date. The exercise price of the call option is $40 and the exercise price of the put option is $30. Carefully graph the payoff of the combination of options at expiration.
You are attempting to value a call option with an exercise price of $140 and one year to expiration. The underlying stock pays no dividends, its current price is $140, and you believe it has a 50% chance of increasing to $160 and a 50% chance of decreasing to $120. The risk-free rate of interest is 10%. Consider one share of stock and two written calls. Calculate the call option's value using the two-state stock price model. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

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