Fundamentals of Financial Management
15th Edition
ISBN: 9780357307724
Author: Brigham
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 18, Problem 4P
Intermediate Problems 4-5
BLACK-SCHOLES MODEL Assume that you have been given the following information on Fire Industries:
| Current stock price = $16 | Exercise price of option = $16 |
| Time until expiration of option = 6 months | Risk-free rate = 8% |
| Variance of stock price = 0.12 | d1 =0.28577 |
| d2 = 0.04082 | N(d1) = 0.61247 |
| N(d2) = 051628 |
Using the Black-Scholes Option Pricing Model, what is the value of the option?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Question No. 5:
A rates of return of asset and market have the following distribution:
Steady of Economy
Probability
Stock A
Stock B
Market Return
Boom
0.3
20%
15%
15%
Normal
0.4
5
5%
9
Recession
0.3
12
-10%
18
Correlation Coefficient with market
-0.3
0.3
Calculate the standard deviation of return for the stock A,B and market.
Calculate Beta Coefficient of stock A and B.
Calculate the required rate of return of stock A & B, if you know the risk-free return 6% and market return represents expected return of market.
Vijay
pls refer to image atached
pls show formula and solution not in spreadsheet.
Chapter 18 Solutions
Fundamentals of Financial Management
Ch. 18.A - In words, what is put-call parity?Ch. 18.A - PUT-CALL PARITY A put option written on the stock...Ch. 18.A - PUT-CALL PARITY The current price of a stock is...Ch. 18 - Prob. 1QCh. 18 - Why do options typically sell at prices higher...Ch. 18 - Discuss some of the techniques available to reduce...Ch. 18 - Prob. 4QCh. 18 - Prob. 5QCh. 18 - Give two reasons stockholders might be indifferent...Ch. 18 - OPTIONS A call option on Rosenstein Corporation...
Ch. 18 - OPTIONS The exercise price on one of Boudreaux...Ch. 18 - OPTIONS Which of the following events are likely...Ch. 18 - Intermediate Problems 4-5 BLACK-SCHOLES MODEL...Ch. 18 - FUTURES What is the implied nominal interest rate...Ch. 18 - HEDGING The Zinn Company plans to issue 20,000,000...Ch. 18 - OPTIONS Rachel is considering an investment in...Ch. 18 - BINOMIAL MODEL Misuraca Enterprises current stock...Ch. 18 - Prob. 9PCh. 18 - Prob. 11IC
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Year AT&T Stock Returns Market Index Returns 1 8 6 2 7 3 3 10 12 4 14 13 5 8 9 The equation of the characteristic line for AT&T is: Group of answer choices Return = 0.538 + 0.9200*Market Return Return = -3.089 + 1.2436*Market Return Return = 0.813 + 0.6530*Market Return Return = 0.471 + 0.0311*Market Return Return = 4.578 + 0.5607*Market Returnarrow_forwardAnswer in typing other wise I will downvote youarrow_forwardcan you ansarrow_forward
- 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 15arrow_forwardConsider 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 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?arrow_forwardQUESTION 1 Exhibit 5.5 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stock Rit Rmt ai Beta A 10.6 15 0 0.8 Z 9.8 8.0 0 1.1 Rit = return for stock i during period t Rmt = return for the aggregate market during period t Refer to Exhibit 5.5. What is the abnormal rate of return for Stock A during period t using only the aggregate market return (ignore differential systematic risk)? a. 4.40 b. −1.70 c. 3.40 d. −4.40 e. −1.86arrow_forward
- ANSWER COMPLETE FOR UPVOTEarrow_forwardBack to Assignment Attempts 0 1. Problem 8.01 (Expected Return) eBook A stock's returns have the following distribution: Average 0 / 4 Standard deviation: Coefficient of variation: Sharpe ratio: 0.1 0.1 0.3 0.3 0.2 1.0 Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Problem Walk-Through % Demand for the Company's Products Probability of this Demand Occurring Weak Below average Average Above average Strong Rate of Return if this Demand Occurs (30%) (10) 18 37 63arrow_forwardhelp please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all workingarrow_forward
- Characteristic Line and Security Market Line You are given the following set of data: Historical Rates of Return Year NYSE Stock X 1 -26.5% -11.0% 2 37.2 25.0 3 23.8 13.5 4 -7.2 2.0 5 6.6 11.1 20.5 18.5 7 30.6 19.0 a. Use a spreadsheet (or a calculator with a linear regression function) to determine Stock X's beta coefficient. Do not round intermediate calculations. Round your answer to two decimal places. b. Determine the arithmetic average rates of return for Stock X and the NYSE over the period given. Calculate the standard deviations of returns for both Stock X and the NYSE. Do not round intermediate calculations. Round your answers to two decimal places. Stock X NYSE Average return, FAvg % % Standard deviation, ơ %arrow_forwardHow do I calculate the variance of the portfolio as shown in the image?arrow_forwardeBook Problem Walk-Through A stock's returns have the following distribution: Demand for theCompany's Products Probability of ThisDemand Occurring Rate of Return IfThis Demand Occurs Weak 0.1 (26%) Below average 0.1 (14) Average 0.3 15 Above average 0.3 39 Strong 0.2 61 1.0 Assume the risk-free rate is 3%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: % Coefficient of variation: Sharpe ratio:arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage Learning
Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning
Accounting for Derivatives Comprehensive Guide; Author: WallStreetMojo;https://www.youtube.com/watch?v=9D-0LoM4dy4;License: Standard YouTube License, CC-BY
Option Trading Basics-Simplest Explanation; Author: Sky View Trading;https://www.youtube.com/watch?v=joJ8mbwuYW8;License: Standard YouTube License, CC-BY