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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You took a long position in a call option on DBS’s share. The option premium is $7 per contract and the option has an exercise price of $25. DBS’s share is currently trading at $30. (a) Calculate how much of the option premium is due to intrinsic value and how much is due to time value (b) Calculate the net profit on the option if DBS’s share price increases to $40 and you exercise the option. (c) Calculate net profit if DBS’ share price decreases to $20. (d) Compute the Theoretical ex-rights Price (TERP) of SIA. (e) If you are a shareholder of SIA, what are your options with regards to the rights issued to you?
You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.What would be the dollar values of your positions in X and Y, respectively, if you decide to hold 40% of your money in the risky portfolio and 60% in T-bills? A. $100; $240 B. $360; $240 C. $240; $160 D. Cannot be determined. E. $240; $360
Please make sure its correct thanks a lot
Consider a bearish option strategy of buying one $50 strike put for $7, selling two $42 strike puts for $4 each, and buying one $37 put for $2. All options have the same maturity. Calculate the final profit per share of the strategy if the underlying is trading at $33 at expiration. 1. $1 per share 2. $2 per share 3. $3 per share 4. $4 per share
We will derive a two-state put option value in this problem. Data: S0 = 100; X = 110; 1 + r = 1.10. The two possibilities for ST are 130 and 80.a. Show that the range of S is 50, whereas that of P is 30 across the two states. What is the hedge ratio of the put?b. Form a portfolio of three shares of stock and five puts. What is the (nonrandom) payoff to this portfolio?c. What is the present value of the portfolio?d. Given that the stock currently is selling at 100, solve for the value of the put.
A call option with a strike price of $50 costs $2. A put option with a strike price of $45 costs $3. Explain how a strangle can be created from these two options. What is the pattern of profits?
You have $37,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 14.7 percent and Stock Y with an expected return of 7.1 percent. Your goal is to create a portfolio with an expected return of 13 percent. All money must be invested. How much will you invest in Stock X? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Consider a European call on Amazon Stock (AMZN) that expires in one period. The current stock price is $100, the strike price is $120, and the risk-free rate is 5%. Assume AMZN stock will either go up to $140 or down to $80. Construct a replicating portfolio using shares of AMZN stock and a position in a risk-free asset ... what is the value of the call option? Call Option Price = $4.84 Call Option Price = $2.95 Call Option Price = $7.93 Call Option Price = $12.04
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 $
We will derive a two-state put option value in this problem. Data: S0 = $180; X = $190; 1 + r = 1.10. The two possibilities for ST are $210 and $110.a. The range of S is $100 while that of P is $80 across the two states. What is the hedge ratio of the put? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) (The answer for this one is -.80) :)b. Form a portfolio of four shares of stock and five puts. What is the (nonrandom) payoff to this portfolio? (Round your answer to 2 decimal places.) c. What is the present value of the portfolio? (Round your answer to 2 decimal places.) d. Given that the stock currently is selling at $180, calculate the put value. (Do not round intermediate calculations and round your answer to 2 decimal places.)
Please use Excel to evaluate the following three strategies: 1) short a straddle; 2) short a strangle; 3) long a butterfly spread. The current stock price is $100, the risk- free interest rate is 4.5% p.a. (continuous compounding), and the volatility of the stock is 42%. For straddles, set the exercise price X at $100. For strangles and butterflies, please examine three sets of exercise prices: ($70, $130), ($80, $120) and ($90, $110). For instance, for the exercise prices ($80, $120), the strangle would involve shorting a put with exercise price $80 and shorting a call with exercise price $120; the butterfly would involve buying calls with exercise prices $80 and $120 and shorting two calls with exercise price $100. Please calculate the net dollar position at maturity (i.e., payoff plus the future value of either investments - in the case of butterfly - or proceeds received from selling options) for each future stock price in the range of $60 to $140 with a $4 interval (i.e., $60,…
5.You would like to speculate on a rise in the price of a certain stock. The current stock price is $30 and a 3-month call with a strike price of $32 costs $3. You have $6000 to invest. Identify two alternative investment strategies, one in the stock and the other in an option on the stock (Tell me exactly what you would do in each strategy and calculate the total profit for different stock prices. How many shares/options you would buy/sell?) Strategy 1 (stock): Stock price (ST) in the market Profit from strategy 1 $25 $30 $32 $35 $40 $45 a) Would you buy or sell stocks? b) How many stocks would you buy or sell? c) How will you make money? %24

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