Use the Black-Scholes formula for the following stock:Time to expirationStandard deviationExercise price6 months46% per year$48Stock price$48Annual interest rate6%0DividendRecalculate the value of the call with the following changes:a. Time to expirationb. Standard deviation3 months30% per yearc. Exercise priced. Stock pricee. Interest rate$56$568%LSelect each scenario independently.Note: Round your answers to 2 decimal places.Value of theCall Optiona. C falls tob. C falls toc. C falls tod. Crises toe. Crises to

Calculate d1Start by finding the ratio of the stock price to the exercise price and taking the…

Answered: Use the Black-Scholes formula for the…

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 5P

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Astromet is financed entirely by common stock and has a beta of 1.20. The firm pays no taxes. The stock has a price-earnings multiple of 11.0 and is priced to offer a 10.9% expected return. The company decides to repurchase half the common stock and substitute an equal value of debt. Assume that the debt yields a risk-free 4.6%. Calculate the following: Required: a. The beta of the common stock after the refinancing b. The required return and risk premium on the common stock before the refinancing c. The required return and risk premium on the common stock after the refinancing d. The required return on the debt e. The required return on the company (i.e, stock and debt combined) after the refinancing If EBIT remains constant: f. What is the percentage increase in earnings per share after the refinancing? g-1. What is the new price-earnings multiple? g-2. Has anything happened to the stock price? Complete this question by entering your answers in the tabs below. Reg A to E Reg F to G2…
Consider the three stocks in the following table. Pe represents price at time t, and Qe represents shares outstanding at time t Stock C splits two for one in the last period. Stock A B С PO 80 85 35 20 275 650 950 a. Rate of return b. New divisor c. Rate of return P1 85 80 50 01 275 650 950 % P₂ Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t= 1). Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. Calculate the new divisor for the price-weighted index in year 2. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Calculate the rate of return for the second period (t=1 to t=2). Note: Round your answer to 2 decimal places. % 85 80 25 02 275 650 1,900
You have estimated the following probability distributions of expected future returns for Stocks X and Y: Stock X Stock Y Probability Return Probability Return 0.1 -12 % 0.2 4 % 0.1 11 0.2 7 0.3 14 0.3 11 0.3 30 0.2 17 0.2 40 0.1 30 What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.Stock X: % Stock Y: % What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.Stock X: % Stock Y: % Which stock would you consider to be riskier? is riskier because it has a standard deviation of returns.
Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. Geometric
Historical Returns: Expected and Required Rates of Return You have observed the following returns over time: Assume that the risk-free rate is 5% and the market risk premium is 4%. a. What are the betas of Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. % Year 2017 2018 2019 2020 2021 % Stock X 12% 17 -13 2 22 % Stock Y 15% 7 -4 3 12 Stock X: Stock Y: b. What are the required rates of return on Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. Stock X: Stock Y: c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y? Do not round intermediate calculations. Round your answer to two decimal places. Market 13% 12 -10 2 15
You are given the following information: Probability of State of Economy Return on Return on State of Stock J Stock K Economy Bear .28 -.023 .031 Normal Bull .63 .135 .059 .09 .215 .089 a. Calculate the expected return for each of the stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for each of the stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What is the covariance between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .321616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .3216.) a. Stock J expected return 9.80 % Stock K expected return 5.39% b. Stock J standard deviation Stock K standard deviation c.…
Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 (PLEASE SKIP THE FIRST THREE QUESTIONS) a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? multiple choice A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future…
Consider the following stocks with equal probabilities of return: Outcome Return Stock A Return Stock B 1 -5% 2% 2 10% 12% 3 18% 15% a. compute the expected returns of stock A and B. b. compute the total risk and relative risk of stock A and B. Which stock is risky? c. Ignoring the probabilities, what is the total risk and relative risk of stock A and B? Which stock is risky? Round-off final answers only to two decimal places. Attach hand-written/excel solution here.
Consider the following information about two stocks (D and E) and two common risk factors (factor 1 and factor 2) Stock Risk factor 1 Risk factor 2 Expected return (%) D 1.2 3.4 13.1 2.6 2.6 15.4 a. Assuming that the risk free rate is 5%, determine the risk premium for factors 1 and 2 that are consistent with the expected returns for the two stocks. You expect that in one year the prices of Stock D and E will be $55 and $36 respectively and pay no dividends. What should be the price of each stock today to be consistent with the expected return levels. b. C. Determine how to you identified if Stock D and E are overvalued, fairly valued and undervalued? d. Suppose the risk premium for factor 1 as computed in (a) increases by 0.25 percent, what will be the new expected return for D and E? e. Suppose the risk premium for factor 1 as computed in (a) decreases by 0.25%, what will be the new expected return for D and E? f. Devise how would you develop a Jensen Index using Arbitrage Pricing…
Consider the three stocks in the following table. Pt represents price at time t, and ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po A 50 B 45 с 90 120 20 P1 a. Rate of return b. Rate of return 21 60 60 60 120 35 120 95 120 02 60 60 35 120 50 240 P2 Required: Calculate the first-period rates of return on the following indexes of the three stocks (t = 0 to t = 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. % %
Consider shorting a call option c on a stock S where S = 24 is the value of the stock, K = 30 is the strike price, T = ½ is the expiration date, r = 0.04 is the continuously compounded interest rate per year, and  = 0.3 is the volatility of the price of the stock. Determine the delta ratio Δ .
Assume the stock's future prices of stock A and stock B as following distribution State Future Price Stock A Future price Stock B $10 $7 $8 $9 If the time 1 price of stock A is $6, and the time 1 price of stock B is $5. And C and C2 represents the time 1 price of ciaim on state 1, C, represents the time 1 prices of unit claims on states 1 and 2. Use the information about stock prices and payoffs to • Find the time 1 prices C, and C2. • Find the risk - free rate of return, obtained in this market

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