State of Economy Return on Stock A Return on Stock BBear .073-094Normal .134.142Bull .062.321Assume each state of the economy is equally likely to happen.a. Calculate the expected return of each stock. (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 of each stock. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g32.16.)c. What is the covariance between the returns of the two stocks? (A negative answer should be indicated by a minus sign, Do not round intermediate calculations andround your answer to 6 decimal places, e.g., .161616.)d. What is the correlation between the returns of the two stocks? (A negative answer should be indicated by a minus sign, Do not round intermediate calculations andround your answer to 4 decimal places, e.g., .1616.)

Step 1: Part (a): Expected Return of Each Stock:The expected return for a stock is calculated by…

Answered: State of Economy Return on Stock A…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the following information: State of Probability of Economy State of Economy Boom Bust .58 .42 Rate of Return if State Occurs Variance Stock A .07 .16 Stock B 15 .06 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return 12.87% % Stock C 33 -.06 b. What is the variance of a portfolio invested 20 percent each in A and B and 60 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., 32.161616.) 1.29% *
Consider the following information: Stock Return if Market Return Is: Stock –13% 10% A 0 14 B –5 21 C –25 36 D 10 8 E 15 -10 What is the beta of each of the stocks? (Leave no cells blank - be certain to enter "0" wherever required. Use decimals, not percents, in your calculations. A negative value should be indicated by a minus sign. Round your answers to 1 decimal place.) Stock Beta A B C D E
Consider the following information on Stocks I and II: Probability of State of Economy State of Economy Rate of Return if State Occurs Stock I Stock II Recession .22 .045 -.37 Normal .62 .355 .29 Irrational .16 exuberance .215 .47 The market risk premium is 11.7 percent, and the risk-free rate is 4.7 percent. a. Calculate the beta and standard deviation of Stock I. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. b. Calculate the beta and standard deviation of Stock II. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskier"? a. Beta Standard deviation b. Beta Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock 1.94 % %
Consider the following information about Stocks I and II: State of Economy Recession Normal Irrational exuberance Probability of State of Economy .20 .60 .20 Rate of Return if State Occurs Stock I .04 .26 .10 Stock II -.35 15 .55 The market risk premium is 5 percent, and the risk-free rate is 4 percent. (Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16.)
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Am. 132.
Intro We know the following expected returns for stocks A and B, given different states of the economy: State (s) Probability E(rA.s) E(rB,s) -0.1 0.04 0.08 0.05 0.13 0.07 Recession 0.2 Normal 0.5 Expansion 0.3 Part 1 What is the expected return for stock A? 3+ decimals Submit
Given the following information on five stocks, construct: a. A simple price-weighted average b. A value-weighted average c. A geometric average d. What is the percentage increase in each average if the stock prices change to those in Column I? e. What is the percentage increase in each average if the stock prices change from those in the Price column to those in Column II? f. Why were the percentage changes different in parts (d) and (e)? g. If you were managing a fund and wanted a source to compare your results to, which of the three averages would you prefer to use, and why? Stock Price # of Shares I II A B C D E F $12.00 150,000 $14.00 125,000 $11.00 200,000 $ 22.00 80,000 $8.00 30,000 $29.00 140,000 $12.00 $12.00 $14.00 $14.00 $20.00 $11.00 $ 22,00 $ 22.00 $8.00 $15.00 $29.00 $29.00
What is the standard deviation of Stock B returns given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234"
K -61 =1 2 N (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Probability 0.25 0.50 0.25 Common Stock A Probability 0.25 0.25 0.25 0.25 (Click on the icon in order to copy its contents into a spreadsheet.) @ 2 a. Given the information in the table, the expected rate of return for stock A is 16.25 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.) b. The expected rate of return for stock B is%. (Round to two decimal places.) The standard deviation for stock B is%. (Round to two decimal places.) c. Based on the risk (as measured by the standard deviation) and return of each stock, which investment is better? (Select the best choice below.) 30² F2 W OA. Stock A is better because it has a higher expected rate of return with less risk B. Stock B is…
None
Use the following information: Stock A B Good state 10% 14% Bad state 2% -2% Assume there is 60% probability that the good state occurs and 40% chance the bad state occurs. What is the standard deviation of stock A? (Please use 5 decimal places, this should be written in percentage, so an answer of 23.143% should be written as .23143)

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