EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 21, Problem 41PS
Summary Introduction
To select: Comparison between the value of beta of S&P 500 index and call index with an exercise price of 1930 and 1940.
Introduction : Value of beta is depending on the elasticity value and exercise value. Hence higher exercise value is much more sensitive to the lower exercise price.
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If put A has T = 0.5, X = 50, sigma = 0.2, and a price of 10, and put B has T = 0.5, X = 50, sigma = 0.2, and a price of 12, which put is written on a stock with a lower price (and why)?
Let X = strike price and S = share price. A put option is deep out-of-the-money if _____________ (choose the best answer from the list below to complete the sentence).
X/S is between 1.01 and 1.05
X/S is between 1.06 and 1.15
X/S is between 0.95 and 0.99
X/S is between 0.85 and 0.94
X/S is equal to 1.00
(d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y.
(e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.
Chapter 21 Solutions
EBK INVESTMENTS
Ch. 21 - Prob. 1PSCh. 21 - Prob. 2PSCh. 21 - Prob. 3PSCh. 21 - Prob. 4PSCh. 21 - Prob. 5PSCh. 21 - Prob. 6PSCh. 21 - Prob. 7PSCh. 21 - Prob. 8PSCh. 21 - Prob. 9PSCh. 21 - Prob. 10PS
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- (d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates of return of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.arrow_forward2. A tree is constructed to value an option on an index which is currently worth 100 and has a volatility of 25%. The index provides a dividend yield of 2%. Another tree is constructed to value an option on a non-dividend-paying stock which is currently worth 100 and has a volatility of 25%. A) The parameters p and u are the same for both trees B) The parameter p is the same for both trees but u is not C) The parameter u is the same for both trees but p is not D) None of the abovearrow_forwardIf the stock price is 44, the exercise price is 40, the put price is 1.54, and the Black-Scholes price using .28 as the volatility is 1.11, the implied volatility will be. Explain how? A. higher than .28 B. lower than .28 C. .28 D. lower than the risk-free rate E. none of the abovearrow_forward
- 1.Which of the following is assumed by the Black-Scholes-Merton model? A.The return from the stock in a short period of time is lognormal B.The stock price at a future time is lognormal C.The stock price at a future time is normal D.None of the abovearrow_forwardWhat will happen to a stock’s risk premium if its beta doubles and the market risk premium doubles? A. The risk premium will be unchanged. B. The risk premium will decrease by a factor of 2. C. The risk premium will increase by a factor of 4. D. The risk premium will increase by a factor of 2.arrow_forwardWhen the Black-Scholes and binomial tree models are used to value an option on a non- dividend-paying stock, which of the following is true? O The binomial tree price converges to a price above the Black-Scholes price as the number of time steps is increased O The binomial tree price converges to a price below the Black-Scholes price as the number of time steps is increased The binomial tree price converges to the Black-Scholes price as the number of time steps is increased O None of these ◄ Previous Next ▸arrow_forward
- In a binomial tree created to value an option on a stock, what is the expected return on the option? O Zero O The return required by the market O The risk-free rate O It depends on the volatility ALarrow_forwardAssume the expected return on the market is 7 percent and the risk-free rate is 4 percent. a. What is the expected return for a stock with a beta equal to 1.10? (Enter your answers in decimals. Do not enter percent values.) b. What is the market risk premium? (Enter your answers in decimals. Do not enter percent values.)arrow_forward4. Valuation of a Derivative Consider a derivative on a stock with the time to expiration T and the following payoff: 0 K₁ 0 if ST K₁. What is the present value of the derivative? Provide an analytic expression of the price using N(), the cumulative probability distribution function of a standard normal random variable.arrow_forward
- 6) Stock ABC has a market beta of 1.2. The risk-free rate is 3%, and the market risk premium equals 4%. a. Compute the expected return for stock ABC. b. Assume the true expected return is 6%. What is stock ABC's alpha? (Assume that the CAPM is the correct asset pricing model.) c. Is stock ABC fairly priced, underpriced, or overpriced? Please explain your answer for full credit. E Focus MacBook Proarrow_forwardA call option with X = $50 on a stock currently priced at S = $55 is selling for $10. Using a volatility estimate of σ = .30, you find that N(d1 ) = .6 and N(d2 ) = .5. The risk-free interest rate is zero. Is the implied volatility based on the option price more or less than .30? Explain.arrow_forwardAssume the expected return on the market is 9 percent and the risk-free rate is 4 percent. What is the expected return for a stock with a beta equal to 1.80? (Round answers to 2 decimal places, e.g. 15.25.) What is the market risk premium? (Round answers to 2 decimal places, e.g. 15.25.)arrow_forward
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