esConsider the following information on three stocks:State ofEconomyBoomNormalBustProbability ofState ofEconomy.20.40.40Rate of Return If State OccursStock A.34.25.03Stock B.46.23-.25Stock C.50.20- .42a-1. If your portfolio is invested 35 percent each in A and B and 30 percent in C, what isthe portfolio expected return? (Do not round intermediate calculations and enteryour answer as a percent rounded to 2 decimal places, e.g., 32.16.)a-2. What is the variance? (Do not round intermediate calculations and round youranswer to 5 decimal places, e.g., .32161.)a-3. What is the standard deviation? (Do not round intermediate calculations and enteryour answer as a percent rounded to 2 decimal places, e.g., 32.16.)b.If the expected T-bill rate is 4.50 percent, what is the expected risk premium on theportfolio? (Do not round intermediate calculations abd enter your answer as apercent rounded to 2 decimal places, e.g., 32.16.)c-1. If the expected inflation rate is 4.00 percent, what are the approximate and exactexpected real returns on the portfolio? (Do not round intermediate calculationsand enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)c-2. What are the approximate and exact expected real risk premiums on the portfolio?(Do not round intermediate calculations and enter your answers as a percentrounded to 2 decimal places, e.g., 32.16.)

Weight of stock A = 35%Weight of stock B = 35%Weight of stock C = 30%T-bill rate = 4.50%Inflation…

Consider the following information on three stocks: State of Economy Boom Normal Bust Probability of State of Economy .20 .40 .40 Rate of Return If State Occurs Stock A .34 .25 .03 a-1. If your portfolio is invortod 25 Stock B .46 .23 -.25 Stock C .50 .20 -.42

Consider the following information on three stocks: State of Economy Boom Normal Bust Probability of State of Economy .20 .40 .40 Rate of Return If State Occurs Stock A .34 .25 .03 a-1. If your portfolio is invortod 25 Stock B .46 .23 -.25 Stock C .50 .20 -.42

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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(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 risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return .30 11% .20 25% .40 15% .30 6% .30 19% .30 14% .20 22%
Nikul
Assume an economy in which there are three securities: Stock A with rA = 10% and σA = 10%; Stock B with rB = 15% and σB = 20%; and a riskless asset with rRF = 7%. Stocks A and B are uncorrelated (rAB = 0). Which of the following statements is most CORRECT? 1. b. The expected return on the investor’s portfolio will probably have an expected return that is somewhat below 10% and a standard deviation (SD) of approximately 10%. 2. d. The investor’s risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%. 3. e. Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%. 4. a. The expected return on the investor’s portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%. 5.…
Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability X Y Z Boom 0.1 16% 10% 22% Semi-Boom 0.15 14% 8% 18% Normal 0.55 10% 6% 14% Mild-Recession ?? 5% 4% -10% Full-Recession 0.05 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z?
Consider the following information: State of Economy Boom Bust Probability of State of Economy .75 .25 a. Expected return b. Variance of a portfolio Rate of Return if State Occurs. Stock C .27 -.21 Stock A .07 .12 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of a portfolio invested 20 percent each in A and B and 60 percent in C? Note: Do not round intermediate calculations and round your answer to 6 decimal places, e.g...161616. Stock B .18 -.08 %
Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom .25 .04 .33 .55 Normal .60 .09 .13 .19 Bust .15 .15 −.14 −.28 If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio’s expected return? The variance? The standard deviation? Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., .16161. Enter your other answers as a percent rounded to 2 decimal places, e.g., 32.16. If the expected T-bill rate is 3.4 percent, what is the expected risk premium on the portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.
Consider the following information: State of Economy Boom Probability of State of Economy Security Returns if State Occurs (Stock A) Security Returns if State Occurs (Stock B) Security Returns if State Occurs (Stock C) .10 .18 .48 .33 Good Poor ? .11 .18 .15 Bust .40 .30 .05 -.09 -.05 -.03 -.32 -.09 Your portfolio is invested 30 percent each in Stocks A and C and the rest in Stock B. What is the percentage standard deviation of the portfolio?
1. Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability X Y Boom 0.15 16% 10% 22% Semi-Boom ?? 14% 8% 18% Normal 0.50 10% 6% 14% Mild-Recession 0.10 5% 4% -10% Full-Recession 0.10 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z?
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Recession 21 .06 21 Normal 58 109 08 Boom 21 14 25 a. Calculate the expected return for Stocks A and B. (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 Stocks A and B. (Do not round Intermedlate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation 196 96 96 %
Shepherd's Flock stock is expected to produce the following returns given the various states of the economy. What is the expected return on this stock? State of economy Probability of State of Economy Rate of Return Recession .3 -.27 Normal .65 .16 Boom .05 .35
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.

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