Black-Scholes Model Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $29, (2) strike price is $36, (3) time to expiration is 3 months, (4) annualized risk-f rate is 5%, and (5) variance of stock return is 0.25. Do not round intermediate calculations. Round your answer to the nearest cent. $

Black-Scholes Model Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $29, (2) strike price is $36, (3) time to expiration is 3 months, (4) annualized risk-f rate is 5%, and (5) variance of stock return is 0.25. Do not round intermediate calculations. Round your answer to the nearest cent. $

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter2: Fundamental Economic Concepts

Section: Chapter Questions

Problem 6E

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A share of stock of A-Star Inc. is now selling for $23.50. A financial analyst summarizes the uncertainty about the rate of return on the stock by specifying three possible scenarios: Business Condition Scenario, s Probability, p(s) End of Year Price Annual Dividend High growth 1 0.35 $35 $ 4.40 Normal growth 2 0.30 27 4.00 No growth 3 0.35 15 4.00 What are the holding-period returns for a one-year investment in the stock of A-Star Inc. for each of the three scenarios? Calculate the expected HPR and standard deviation of the HPR.
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Given the attached information: Estimate the betas for Blandy and Gourmange companies? If you have a portfolio of 25% Blandy and 75% Gourmange, what is the beta for your portfolio?
Consider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: • Stock A has and expected return of 22% and a beta of 2. • Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. (a) Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium.
The gain from a project is equally likely to have any value between - $0.15 million and + $0.85 million. What is the 99% value at risk? A) $0.145 million B) $0.14 million C) $0.13 million D) $0.10 million
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Which of the following statements about the current value of a short European call option on Warwick plc stock, a non-dividend-paying stock, is/are true? (a) The current value of a short European call option is less than or equal to zero. (b) The current value of a short European call option decreases as the volatility of returns on Warwick plc stock increases, holding all else constant. (c) The current value of a short European call option decreases as the price of Warwick plc stock increases, holding all else constant.
An investor has $24,000 to invest in bonds of AAA and B qualities. The AAA bonds yield an average of 6% and the B bonds yield 10%. The investor requires that at least three times as much money should be invested in AAA bonds as in B bonds. How much should be invested in each type of bond to maximize the return? What is the maximum return? Define the variables needed to solve this problem. Organize your given information. (This part NOT graded, but encouraged.) Write the complete linear programming problem, which includes the objective function and all constraints. Graph and make sure all lines are labeled and shaded/solution region is clear and easy to identify. Create a corner point chart. Remember to mark your solution. Answer in a complete sentence or two: How much should be invested in each type of bond to maximize the return? What is the maximum return?
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a) What is the price of a $35 strike call? Assume S = $38.50, σ = 0.25, r = 0.06, the stock pays no dividend and the option expires in 45 days.b) What is the price of a $60 strike put? Assume S = $63.75, σ = 0.20, r = 0.055, the stock pays no dividend and the option expires in 50 days?c) What is the price of a $25 strike call? Assume S = $23.50, σ = 0.24, r = 0.055, the stock pays a 2.5% continuous dividend and the option expires in 45 days?d) 4) What is the price of a $30 strike put? Assume S = $28.50, σ = 0.32, r = 0.04, the stock pays a 1.0% continuous dividend and the option expires in 110 days?e) What is the delta on a $20 strike call? Assume S = $22.00, σ = 0.30, r = 0.05, the stock pays a 1.0% continuous dividend and the option expires in 80 days?
You plan to invest $1,000 in a corporate bond fund or in a common stock fund. The following table represents the annual return (per $1,000) of each of these investments under various economic conditions and the probability that each of those economic conditions will occur. Compute the expected return for the corporate bond and for the common stock fund. Show your calculations on excel for expected returns. Compute the standard deviation for the corporate bond fund and for the common stock fund. Would you invest in the corporate bond fund or the common stock fund? Explain. If choose to invest in the common stock fund and in (c), what do you think about the possibility of losing $999 of every $1,000 invested if there is depression. Explain.
5. Find the expected value assuming the risk factor is 30 % and the interest rate is 12% , if you will receive $20,000 one year from today.