Corporate Finance
3rd Edition
ISBN: 9780132992473
Author: Jonathan Berk, Peter DeMarzo
Publisher: Prentice Hall
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Textbook Question
Chapter 21, Problem 2P
Using the information in Problem 1, use the Binomial Model to calculate the price of a one-year put option on Estelle stock with a strike price of $25.
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Use the data in the figure 20.1 and calculate thepayoff and the profits for investments in each ofthe following January expiration options, assumingthat the stock price on the expiration date is $125.a. Call option, X=$120b. Put option, X=$120c. Call option, X=$125d. Put option, X=$125e. Call option, X=$130f. Put option, X=$130
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Chapter 21 Solutions
Corporate Finance
Ch. 21.1 - What is the key assumption of the binomial option...Ch. 21.1 - Why dont we need to know the probabilities of the...Ch. 21.1 - Prob. 3CCCh. 21.2 - What are the inputs of the Black-Scholes option...Ch. 21.2 - What is the implied volatility of a stock?Ch. 21.2 - How does the delta of a call option change as the...Ch. 21.3 - What are risk-neutral probabilities? How can they...Ch. 21.3 - Does the binominal model or Black-Scholes model...Ch. 21.4 - Is the beta of a call greater or smaller than the...Ch. 21.4 - What is the leverage ratio of a call?
Ch. 21.5 - Prob. 1CCCh. 21.5 - The fact that equity is a call option on the firms...Ch. 21 - The current price of Estelle Corporation stock is...Ch. 21 - Using the information in Problem 1, use the...Ch. 21 - Suppose the option in Example 21.11 actually sold...Ch. 21 - Eagletrons current stock price is 10. Suppose that...Ch. 21 - What is the highest possible value for the delta...Ch. 21 - Hema Corp. is an all equity firm with a current...Ch. 21 - Consider the setting of Problem 9. Suppose that in...Ch. 21 - Roslin Robotics stock has a volatility of 30% and...Ch. 21 - Rebecca is interested in purchasing a European...Ch. 21 - Using the data in Table 21.1, compare the price on...Ch. 21 - Consider again the at-the-money call option on...Ch. 21 - Harbin Manufacturing has 10 million shares...Ch. 21 - Using the information on Harbin Manufacturing in...Ch. 21 - Using the information in Problem 1, calculate the...Ch. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Calculate the beta of the January 2010 9 call...Ch. 21 - Consider the March 2010 5 put option on JetBlue...
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- You are evaluating a put option based on the following information: P = Ke-H•N(-d,) – S-N(-d,) Stock price, So Exercise price, k = RM 11 = RM 10 = 0.10 Maturity, T= 90 days = 0.25 Standard deviation, o = 0.5 Interest rate, r Calculate the fair value of the put based on Black-Scholes pricing model. Cumulative normal distribution table is provided at the back.arrow_forward1) Draw the binomial tree listing only the option prices at each node. Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $40, S = $37.90, r = 5.0%, σ = 0.35 2) Draw the binomial tree listing only the stock prices at each node. Assume the following data on a 6-month call option, using 3-month intervals as the time period. K = $70, S = $68.50, r = 6.0%, σ = 0.32 3) Draw the binomial tree listing only the option prices at each node. Assume the following data on a 6-month put option, using 3-month intervals as the time period. K = $40.00, S = $37.90, r = 5.0%, σ = 0.35 4) Using a binomial tree explanation, explain the situation in which an American option would alter the pricing of an option.arrow_forwardYou are interested to value a put option with an exercise price of $100 and one year to expiration. The underlying stock pays no dividends, its current price is $100, and you believe it either increases to $120 or decreases to $80. The risk-free rate of interest is 10%. Calculate the put option's value using the binomial pricing model, presenting your calculations and explanations as follows: a. Draw tree-diagrams to show the possible paths of the share price and put payoffs over one year period. (Note: Show the numbers that are known and use letter(s) for what is unknown in your diagrams.) b. Compute the hedge ratio. c. Find the put option price. Explain your calculations clearly. d. Use put-call parity, find the price of a call option with the same exercise price and the same expiration date.arrow_forward
- Suppose you construct a strategy based on options on a stock that is currently selling for $100. The strategy is as follows: Buy one call option having an exercise price of $95. Sell two calls having an exercise price of $100. Buy one call option having an exercise price of $105. All of the options are written on the same stock and all have the same expiration date. Compute the payoff (the dollars you receive) from this strategy at the expiration date for each of the following alternative stocks prices: $90, $95, $98, $100, $102, $105, and $110. What additional information would be required to determine whether your strategy had been profitable? What is the name of this strategy?arrow_forwardConsider an American put option (K=$100) expiring in one year on a stock trading for $84. The return volatility on the stock is 27.3% and the riskless rate is 5%. Find the price of the option using a Binomial Model with two steps. (Respond with two decimal places, such as "-12.34") 26.59 Correct Answer: 18.28arrow_forwardUse the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value GA $ $ $ 48 60 0.07 0.04 0.50 0.26arrow_forward
- Use the Black-Scholes formula to find the value of a call option based on the following inputs. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value $ 51 $ 64 0.068 0.04 0.50 0.265arrow_forwardSuppose you want to price an American style put option for a stock being traded on theKuispad Stock Exchange having the following parameters: s = 18, t = 0.25, K = 20, σ = 0.2, r = 0.07. Using n = 5, calculate the value of V0(0). Provide all necessary detailsarrow_forwardUsing the following information, calculate the overall payoff on the option given the stock price at maturity. Exercise price: 50.00 Premium: 7.00 Call / put: Call Long / short: Short Stock price at maturity 40.00 Select one: A) (7.00) B) 7.00 C) 3.00 D) (3.00)arrow_forward
- A stock is currently trading for $25 per share and an investor is interested in the following two options with a one year expiration term. Options Call Put Strike Price $28 $24 Quoted Price $2 $4 a) Calculate the intrinsic values of the call and put. b) Draw the profit diagram for a short position in the put option described above. Label the diagram well. Show all the critical points on the diagram. For example, the intercepts on axes, maximum profit or maximum loss. What price movements are required for the investor to have a positive profit? c) Draw the profit diagram for a long position in the call option. And label the diagram well. d) Suppose one month later, the stock price moves up to $30 per share, how will the prices of the call and put change? Why? Briefly explain. e) Suppose an investor purchased 10 contracts of the 28 calls and sold 10 contracts of the 24 puts. If the stock price turns out to be $30 per share in one month, what is the total profit for this investor?arrow_forwardYou are long in a put option with an exercise price of $60. What is the value of the put at Maturity? If the put premium at the time of purchase was $4, what is your profit or loss on the position? Use stock prices of 45, 50, 60, 65, and 70.arrow_forwardYou are long both a call and a put on the same share of stock with the same exercise date. The exercise price of the call is $40 and the exercise price of the put is $45. What is the minimum payoff from this option portfolio at the expiration date? (in dollars without the dollar sign, use two decimal places).arrow_forward
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