FINANCIAL MANAGEMENT: THEORY AND PRACTIC
16th Edition
ISBN: 9780357691977
Author: Brigham
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6, Problem 4P
An analyst gathered daily stock returns for Feburary 1 through March 31, calculated the Fama-French factors for each day in the sample (SMBt and HMLt), and estimated the Fama-French regression model shown in Equation 6-21. The estimated coefficients were ai = 0, bi = 1.2, ci = −0.4, and di = 1.3. On April 1, the market return was 10%, the return on the SMB portfolio (rSMB) was 3.2%, and the return on the HML portfolio (rHML) was 4.8%. Using the estimated model, what was the stock’s predicted return for April 1?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Estimate a stock's beta (i.e., the sensitivity of the stock's returns to the returns on the market) based on the following information about the changes in stock returns and market returns over the course of three months: Month 1: Stock -2.5%, Market -2%. Month 2: Stock -.5%, Market -.25%. Month 3: Stock +1.5%, Market +1.25%.
The following shows the expected percentage returns on three stocks over the next six years:Stock Percentage Return (%)Year 1 2 3 4 5 6A 10 5 6 8 12 15B 8 4 4. 80 6.4 9.6 12C 5 10 12 10 6 6
Required:(i) Find the expected return for each of the stock.(ii) Compute the variance and standard deviation for stock A, B and C. Show your working.(iii) Justify how can you minimize the risk of the above combination of stocks. (Must show working method as well)
The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period.
Month
Madison Cookies
Sophie Electric
1
-0.04
0.07
2
0.06
-0.02
3
-0.07
-0.10
4
0.12
0.15
5
-0.02
-0.06
6
0.05
0.02
Compute the following:
a. Average monthly rate of return, Ri, for each stock
b. Standard deviation of returns for each stock
c. Covariance between the rates of return
d. The correlation coefficient between the rates of return
What level of correlation would you have expected before performing your calculations? How did your expectations compare with the computed correlation? Would these two stocks be good choices for diversification? Why or why not?
Chapter 6 Solutions
FINANCIAL MANAGEMENT: THEORY AND PRACTIC
Ch. 6 - The probability distribution of a less risky...Ch. 6 - Security A has an expected return of 7%, a...Ch. 6 - If investors’ aversion to risk increased, would...Ch. 6 - Prob. 5QCh. 6 - Your investment club has only two stocks in its...Ch. 6 - Prob. 2PCh. 6 - Suppose that the risk-free rate is 5% and that the...Ch. 6 - An analyst gathered daily stock returns for...Ch. 6 - A stocks return has the following distribution:...Ch. 6 - The market and Stock J have the following...
Ch. 6 - Suppose rRF = 5%, rM = 10%, and rA = 12%. a....Ch. 6 - As an equity analyst you are concerned with what...Ch. 6 - Your retirement fund consists of a $5,000...Ch. 6 - Prob. 10PCh. 6 - You have a $2 million portfolio consisting of a...Ch. 6 - Stock R has a beta of 1.5, Stock S has a beta of...Ch. 6 - You are considering an investment in either...Ch. 6 - You have observed the following returns over...Ch. 6 - What are investment returns? What is the return on...Ch. 6 - Graph the probability distribution for the bond...Ch. 6 - Use the scenario data to calculate the expected...Ch. 6 - What is the stand-alone risk? Use the scenario...Ch. 6 - Your client has decided that the risk of the bond...Ch. 6 - Your client is shocked at how much risk Blandy...Ch. 6 - Explain correlation to your client. Calculate the...Ch. 6 - Prob. 8MCCh. 6 - Prob. 9MCCh. 6 - Prob. 10MCCh. 6 - Prob. 11MCCh. 6 - Calculate the correlation coefficient between...Ch. 6 - Prob. 13MCCh. 6 - (1) Suppose the risk-free rate goes up to 7%. What...Ch. 6 - Your client decides to invest $1.4 million in...Ch. 6 - Jordan Jones (JJ) and Casey Carter (CC) are...Ch. 6 - What does market equilibrium mean? If equilibrium...Ch. 6 - What is the Efficient Markets Hypothesis (EMH),...
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
- The following are the end-of-month prices for both the Standard & Poor's 500 Index and Nike's common stock. a. Using the data in the popup window, calculate the holding-period returns for each of the months. b. Calculate the average monthly return and the standard deviation for both the S&P 500 and Nike. c. Develop a graph that shows the relationship between the Nike stock returns and the S&P 500 Index. (Show the Nike returns on the vertical axis and the S&P 500 Index returns on the horizontal axis.) d. From your graph, describe the nature of the relationship between Nike stock returns and the returns for the S&P 500 Index.arrow_forwardUsing the following annual returns, calculate the estimates of the arithmetic mean returns, the variances, and the standard deviations for assets X and Y. Also calculate the estimates of the covariance and correlation between X and Y. These five years are a sample of the entire population of returns for X and Y. Year 2001 2002 2003 2004 2005 Returns X 11% 6% -8% 28% 13% Y 36% -7% 2% -12% 43% A stock has had returns over the past six years of 29%, 14%, 23%, -18%, 9%, and -14%. What was its arithmetic mean and geometric mean returns over that period? What was the standard deviation of its returns over this six-year period?arrow_forwardConsider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 7%, and the market's average return was 14%. Performance is measured using an index model regression on excess returns. Index model regression estimates R-square Residual standard deviation, o(e) Standard deviation of excess returns. i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure Stock A a. Calculate the following statistics for each stock: (Round your answers to 4 decimal places.) % Stock A 1% +1.2(rm rf) % 0.635 11.3% 22.6% Stock B % % Stock B 2% +0.8( rm -rf) b. Which stock is the best choice under the following circumstances? 0.466 20.1% 26.9% i. This is the only risky asset to be held by the investor. ii. This stock will be mixed with the rest of the investor's portfolio, currently composed solely of holdings in the market-index fund. iii. This is one of many stocks that the investor is analyzing to form an actively managed stock…arrow_forward
- Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 7%, and the market's average return was 14%. Performance is measured using an index model regression on excess returns. Index model regression estimates R-square Residual standard deviation, o(e) Standard deviation of excess returns Stock A 1% +1.2(rm - rf) Stock B 2% +0.8(rm – rf) 0.635 0.466 11.3% 22.6% 20.1% 26.9% Required: a. Calculate the following statistics for each stock: b. Which stock is the best choice under the following circumstances? Complete this question by entering your answers in the tabs below. Required A Required B Calculate the following statistics for each stock: Note: Round your answers to 4 decimal places. i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure Stock A Stock B % %arrow_forwardHere are the returns on two stocks. Digital Executive Cheese Fruit January +15 +8 February -2 +1 March +4 +6 April +6 +16 May -3 +2 June +2 +6 July -1 -2 August -7 -1 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks? Complete this question by entering your answers in the tabs below. Req A1 Req A2 Req B Req C Calculate the variance and standard deviation of each stock. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Variance Standard deviation Digital Cheese Retum Executive Fruit Return % %arrow_forwardThe following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period. Month Madison Cookies Sophie Electric 1 −0.04 0.072 0.06 −0.023 −0.07 −0.104 0.12 0.155 −0.02 −0.066 0.05 0.02 Compute the following. a. Average monthly rate of return Ri for each stockb. Standard deviation of returns for each stockc. Covariance between the rates of returnd. The correlation coefficient between the rates of returnWhat level of correlation did you expect? How did your expectations compare with the computed…arrow_forward
- The last four years of returns for a stock are as shown here: a. What is the average annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns? Note: Notice that the average return and standard deviation must be entered in percentage format. The variance must be entered in decimal format. Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year 4 Return +3.51% 1 - 4.17% 2 +27.82% 3 + 11.88% Xarrow_forwardGM stock produced the following monthly returns (Jan.- May): 5%, 8%. -2%, 12%and 15% Ford stock produced the following monthly returns ( Jan.- May): 1%, 10%, 6%, 3% and 2%. 1) Calculate the average return for each stock 2) Calculate the standard deviation of monthly return for each stock. 3) Calculate the correlation coefficient b/w GM and Ford Stock. PLEASE SHOW ME THE STEPS. THANK YOU.arrow_forwardHere are the returns on two stocks. A. Calculate the variance and standard deviation of each stock. Which stock is riskier if held on its own? B. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks C. Is the variance more or less than halfway between the variance of the two Individual stocks?arrow_forward
- Here are the returns on two stocks. January February March April May June July August Digital Cheese +14 -4 +6 +8 -5 +4 -3 -9 Executive Fruit +8 +2 +5 +12 +3 +6 w At t -4 -3 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? 4 b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks?arrow_forwardHere are the returns on two stocks. Digital Executive Cheese Fruit January +15 +7 February -3 +1 March +5 +4 April +7 +13 May -4 +2 June +3 +5 July -2 -3 August -8 -2 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks? Answer is not complete. Complete this question by entering your answers in the tabs below. Req A1 Req A2 Req B Req C Calculate the variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Variance Standard deviation Digital Cheese Retum 7.75% Executive Fruit Return 26.55 % 2.79 X 5.15 x Reg A1 Req A2 >arrow_forwardHere are the returns on two stocks. Digital Executive Cheese Fruit January +16 +9 February -4 +1 March +6 +7 April +8 +16 May -5 +2 June +4 +7 July -4 August -9 -3 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks? Complete this question by entering your answers in the tabs below. Req A1 Req A2 Req B Req C Calculate the variance and standard deviation of each stock. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Variance Standard deviation Digital Cheese Retum Executive Fruit Return % %arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Essentials of Business Analytics (MindTap Course ...StatisticsISBN:9781305627734Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. AndersonPublisher:Cengage LearningEssentials Of Business AnalyticsStatisticsISBN:9781285187273Author:Camm, Jeff.Publisher:Cengage Learning,
Essentials of Business Analytics (MindTap Course ...
Statistics
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Cengage Learning
Essentials Of Business Analytics
Statistics
ISBN:9781285187273
Author:Camm, Jeff.
Publisher:Cengage Learning,
Portfolio Management; Author: DevTechFinance;https://www.youtube.com/watch?v=Qmw15cG2Mv4;License: Standard YouTube License, CC-BY