Use the Black-Scholes formula for the following stock:Time to expirationStandard deviationExercise priceStock priceAnnual interest rateDividend6 months53% per year$43$433%0Recalculate the value of the call with the following changes:a. Time to expirationb. Standard deviation3 monthsc. Exercise priced. Stock pricee. Interest rate25% per year$49$495%Select each scenario independently.Note: Round your answers to 2 decimal places.Value of theCall Optiona. C falls tob. C falls toc. C falls tod. C rises toe. C rises to

Sure, let's break down the Black-Scholes formula and each step of its application to calculate 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 3Q

See similar textbooks

Similar questions

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
Use the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price Annual interest rate Stock price Dividend 6 months 57% per year $44 $44 2% 0 Recalculate the value of the call with the following changes: a. Time to expiration b. Standard deviation c. Exercise price d. Stock price e. Interest rate 3 months 30% per year $49 $49 4% Select each scenario independently. Note: Round your answers to 2 decimal places. a. b. C. d. e. Value of the Call Option
Use the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price 6 months 46% per year $48 Stock price $48 Annual interest rate 6% 0 Dividend Recalculate the value of the call with the following changes: a. Time to expiration b. Standard deviation 3 months 30% per year c. Exercise price d. Stock price e. Interest rate $56 $56 8% L Select each scenario independently. Note: Round your answers to 2 decimal places. Value of the Call Option a. C falls to b. C falls to c. C falls to d. Crises to e. Crises to
Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock (b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 a) Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal…
Asset W has an expected return of 8.8 percent and a beta of .90. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Portfolio Expected Percentage of Portfolio in Asset W Portfolio Return Beta 0 % 2.60 % 25 4.15 % 0.225 50 5.70 % 0.450 75 7.25 % 0.680 100 8.80 % 0.900 125 10.35 % 1.130 150 11.90 % 1.350 If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Slope of the line
Use the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price Stock price Annual interest rate Dividend 6 months 56% per year $55 $55 6% 0 Recalculate the value of the call with the following changes: a. Time to expiration b. Standard deviation c. Exercise price d. Stock price e. Interest rate 3 months 30% per year $63 $63 9% Select each scenario independently. Note: Round your answers to 2 decimal places. a. b. C. d. e. Value of the Call Option
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…
The risk-free rate is 4.15 percent. What is the expected risk premium on this stock given the following information? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Probability of Rate of Return if State State of the Economy State of Economy Вoom Occurs 0.35 16% Normal 14% 0.65
Consider the following information on a particular stock: Stock price = $89 Exercise price = $85 Risk-free rate = 3% per year, compounded continuously Maturity = 8 months Standard deviation = 59% per year 1. What is the delta of a call option? 2. What is the delta of a put option?
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.
Suppose you are attempting to value a 1-year expiration option on a stock with volatility (i.e., annualized standard deviation) of σ = 0.34. What would be the appropriate values for u and d if your binomial model is set up using: a. 1 period of 1 year. b. 4 subperiods, each 3 months. c. 12 subperiods, each 1 month. Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Subperiods At = T/n u = exp(σ√ At) d = exp(-σ√ At) a. 1 1/1 = 1 b. 4 1/4 = 0.25 C. 12 1/12 0.0833
Consider the following information on a particular stock:Stock price = $88Exercise price = $84Risk-free rate = 5% per year, compounded continuouslyMaturity = 11 monthsStandard deviation =53% per year. What What is the delta of a call option?

SEE MORE QUESTIONS

Recommended textbooks for you

Intermediate Financial Management (MindTap Course…

Finance

ISBN:

9781337395083

Author:

Eugene F. Brigham, Phillip R. Daves

Publisher:

Cengage Learning