Required: You are attempting to value a call option with an exercise price of $80 and one year to expiration. The underlying stock pays no dividends, its current price is $80, and you believe it has a 50% chance of increasing to $90 and a 50% chance of decreasing to $70. The risk-free rate of interest is 5%. 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.) Value of the call

Required: You are attempting to value a call option with an exercise price of $80 and one year to expiration. The underlying stock pays no dividends, its current price is $80, and you believe it has a 50% chance of increasing to $90 and a 50% chance of decreasing to $70. The risk-free rate of interest is 5%. 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.) Value of the call

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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Consider 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.
You 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.
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 $
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.
You purchased a call option on TSLA with an exercise price of $180 for a premium of $5.0 and held it until the expiration date. What is your profit (per share) if the stock sells for $192 on the expiration date? Enter your answer without the dollar sign. Your Answer: Answer
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…
Consider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.
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.
The common stock of Triangular File Company is selling at $91. A 13-week call option written on Triangular File's stock is selling for $9. The call's exercise price is $101. The risk-free interest rate is 8% per year. a. Suppose that puts on Triangular stock are not traded, but you want to buy one. Which combination will produce the same results? Buy call, invest PV(EX), sell stock short Sell call, invest PV(EX), sell stock short Buy call, lend PV(EX), buy stock Sell call, lend PV(EX), buy stock b. Suppose that puts are traded. What should a 13-week put with an exercise price of $101 sell for? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Put option price
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 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.)
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.

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