a. Calculate the average rate of return for each stock during the 5-year period.b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B.What would have been the realized rate of return on the portfolio in each year? Whatwould have been the average return on the portfolio during this period?c. Calculate the standard deviation of returns for each stock and for the portfolio.d. If you are a risk-averse investor, then, assuming these are your only choices, wouldyou prefer to hold Stock A, Stock B, or the portfolio? Why?You have observed the following returns over time:YearStock XStock YMarket200914%13%12%2010197102011-16-5-1220123112013201115

d) To determine which investment (Stock X, Stock Y, or the portfolio) is preferable for a…

Answered: a. Calculate the average rate of return…

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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Suppose that there exist two securities (A and B) with annual expected returns equal to ra = 3% and rg = 5% and standard deviations equal to o4 = 7% and oB = 10% respectively. The correlation coefficient between the returns of these securities is p = -0.5. What is the expected return and the standard deviation of an equally weighted portfolio consisting of the securities A and B? Describe every step of your calculations in detail. What is the expected return and the standard deviation of a portfolio consisting of the securities A and B, if the relevant weights are chosen to minimize the risk of the portfolio? Present the minimisation problem and describe every step of your calculations in detail. How could an investor maximize diversification benefits? Critically discuss and explain in detail.
Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset’s expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Aaron owns a two-stock portfolio that invests in Happy Dog Soap Company (HDS) and Black Sheep Broadcasting (BSB). Three-quarters of Aaron’s portfolio value consists of HDS’s shares, and the balance consists of BSB’s shares. Each stock’s expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Happy Dog Soap Black Sheep Broadcasting Strong 0.50 30% 42% Normal 0.25 18% 24% Weak 0.25 -24% -30%…
Using the data in the following table, consider a portfolio that maintains a 60% weight on stock A and a 40% weight on stock B. a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below: (Round to two decimal places.) Year 2012 Portfolio % 2010 % 2011 % b. Based on your results from part (a), compute the average return and volatility of the portfolio. The average return of the portfolio is%. (Round to two decimal places.) 2013 % 2014 % 2015 % The…
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 invest $100, $410, and $640 of your wealth into a stock, the market, and a risk - free asset, respectively. The beta of the stock is 1.3. What is the beta of the portfolio? Enter your answer rounded to 3 DECIMAL PLACES. Enter your response below.
Suppose that your estimates of the possible one-year returns from investing in the common stock of the AYZ Corporation were as follows: Probability of occurrence 0.15 0.25 0.3 0.15 0.15 Possible return -10% 5% 20% 35% 50% What are the expected return? Calculate the standard deviation?
a. Using the data provided in problem 3, determine the return and risk for a portfolio made up of the following three stocks if you want to distribute your investment as follows: 20% in ADRE; 65% in MSFT and 15% in GOOG.b. How would the portfolio be affected if you distributed your investment in the following way: 30% in ADRE; 25% on MSFT and 45% on GOOG?c. Which of the two portfolios would a risk seeking investor prefer and why?
You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: Year rA rB 2014 -20.00% -5.00% 2016 42.00 15.00 2017 20.00 -13.00 2018 -8.00 50.00 2019 25.00 12.00 a. Calculate the average rate of return for each stock during the 5-year period. b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? c. Calculate the standard deviation of returns for each stock and for the portfolio. d. Suppose you are a risk-averse investor. Assuming Stocks A and B are your only choices, would you prefer to hold Stock A, Stock B, or the portfolio? Why?
You are examining a portfolio consisting of three stocks. Using the data in the table a. Compute the annual returns for a portfolio with 25% invested in North Air, 25% invested in West Air, and 50% invested in Tex Oil. b. What is the lowest annual return for your portfolio in part (a)? How does it compare with the lowest annual return of the individual stocks or portfolios in the table above. a. Compute the annual returns for a portfolio with 25% invested in North Air, 25% invested in West Air, and 50% invested in Tex Oil. The annual return for 2014 will be: (Round to two decimal places.) Year 2014 Year 2016 North Air 21% Year 2018 North Air The annual return for 2015 will be: (Round to two decimal places.) Year 2019 29% 6% Year 2015 The annual return for 2016 will be: (Round to two decimal places.) North Air North Air West Air West Air -6% 8% North Air -1% West Air North Air 21% 8% 6% The annual return for 2017 will be: (Round to two decimal places.) West Air Year 2017 The annual…
Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: David owns a two-stock portfolio that invests in Falcon Freight Company (FF) and Pheasant Pharmaceuticals (PP). Three-quarters of David's portfolio value consists of FF's shares, and the balance consists of PP's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Falcon Freight Pheasant Pharmaceuticals 0.20 0.35 0.45 Strong Normal Weak 40% 24% -32% 56% 32% -40% Calculate expected returns for…
Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Ethan owns a two-stock portfolio that invests in Falcon Freight Company (FF) and Pheasant Pharmaceuticals (PP). Three-quarters of Ethan's portfolio value consists of FF's shares, and the balance consists of PP's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Strong Normal Probability of Occurrence 0.50 0.25 Falcon Freight Pheasant Pharmaceuticals 27.5% 38.5% 16.5% 22% Weak 0.25 -22% -27.5% Calculate expected…
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock Investment Beta A $218,000 1.50 B 327,000 0.60 C 545,000 1.18 D Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 17 percent and that the risk-free rate is 8 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) Beta of the portfolio Expected rate of return %

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