You have $400,000 invested in a well-diversified portfolio. You inherit a house that is presently worth $180,000. Consider the summary measures in the following table: Expected Return standard Deviation Inveatment Old porttolio House 131 27 16 The correlation coefficient between your portfolo and the house is 0.49. a. What is the expected return and the standard deviation for your portfolio comprising your old portfolo and the house? (Do not round intermediate calculations. Round your final answers to 2 decimal places.) Expected return Standard deviation 8.41 % 14.97 % p. Suppose you decide to sell the house and use the proceeds of $180,000 to buy risk-free T-bills that promise a 10% rate of return. Calculate the expected return and the standard deviation for the resulting portfolio. [Hint Note that the correlation coefficient between nY ASset and the risk-freeT-bills is zero.l(Do not round intermediate calculations. Round your final answers to 2 decimal places.)

You have $400,000 invested in a well-diversified portfolio. You inherit a house that is presently worth $180,000. Consider the summary measures in the following table: Expected Return standard Deviation Inveatment Old porttolio House 131 27 16 The correlation coefficient between your portfolo and the house is 0.49. a. What is the expected return and the standard deviation for your portfolio comprising your old portfolo and the house? (Do not round intermediate calculations. Round your final answers to 2 decimal places.) Expected return Standard deviation 8.41 % 14.97 % p. Suppose you decide to sell the house and use the proceeds of $180,000 to buy risk-free T-bills that promise a 10% rate of return. Calculate the expected return and the standard deviation for the resulting portfolio. [Hint Note that the correlation coefficient between nY ASset and the risk-freeT-bills is zero.l(Do not round intermediate calculations. Round your final answers to 2 decimal places.)

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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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: James owns a two-stock portfolio that invests in Blue Llama Mining Company (BLM) and Hungry Whale Electronics (HWE). Three-quarters of James’s portfolio value consists of BLM’s shares, and the balance consists of HWE’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 Blue Llama Mining Hungry Whale Electronics Strong 0.25 27.5% 38.5% Normal 0.45 16.5% 22% Weak 0.30 -22%…
An investor invests 70% of his wealth in a risky asset with an expected rate of return of 0.15 and a variance of 0.04. He also places 30% of his wealth in a T-bill that pays 5%. His portfolio's expected return and standard deviation are __________ and __________, respectively. Group of answer choices 0.120; 0.14 0.087; 0.06 0.295; 0.12 0.087; 0.12 0.895; 0.11
Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets: What are her expected returns and the risk from her investment i three assets? How do they compare with investing in asset M alone? Hint. Find the standard deviations of asset M and of the portfolio equally invested in assets M, N, and O. What is the expected return of investing equally in all three assets M, N, and O? % (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) States Boom Probability 27% Asset M Return 13% 10% Normal 48% Recession 25% 1% Asset N Return 23% 15% 3% Asset O Return 1% 10% 13% X
Ebenezer Scrooge has invested 65% of his money in share A and the remainder in share B. He assesses their prospects as follows: A B Expected return (%) 16 21 Standard deviation (%) 23 27 Correlation between returns 0.5 What are the expected return and standard deviation of returns on his portfolio? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. How would your answer change if the correlation coefficient were 0 or −0.50? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Is Mr. Scrooge’s portfolio better or worse than one invested entirely in share A, or is it not possible to say?
The historical returns for two investments A and B—are summarized in the following table for the period 2016 to 2020, Use the data to answer the questions that follow. a. On the basis of a review of the return data, which investment appears to be more risky? Why? b. Calculate the standard deviation for each investment's returns. c. On the basis of your calculations in part b, which investment is more risky? Compare this conclusion to your observation in part a. a. On the basis of a review of the return data, which investment appears to be more risky? Why? (Choose the best answer below.) A. The riskier investment appears to be investment B, with returns that vary widely from the average relative to investment A, whose returns show less deviation from the average. B. The riskier investment appears to be investment A, with returns that vary widely from the average relative to investment B, whose returns show less deviation from the average. C. Investment A and investment B have equal risk…
Suppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below. A B C Probabilities return 0.05 0.50% -3.60% 3.60% 0.35 0.60% 2.75% 0.15% 0.45 3.66% 1.45% 0.45% 0.15 -4.80% -0.60% 6.30% Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?
9. A risk averse, wealth maximising, investor is faced with a choice between four investments (P, Q, R and S) that have profiles as follows:   Mean return (%) Variance (%) P 19 18   Q 16 17  R 22 16   S 20 16   Between which pair of these investments would the investor find it impossible to distinguish on the basis of the above information? A. P and Q   B. R and S   C. P and S   D. Q and R
man.1
Sharon Smith, the financial manager for Barnett Corporation, wishes to select one of three prospective investments: X, Y, and Z. Assume that the measure of risk Sharon cares about is an asset's standard deviation. The expected returns and standard deviations of the investments are as follows: Investment Expected return Standard deviation X 17% 7% Y 17% 8% Z 17% 9% a. If Sharon were risk neutral, which investment would she select? Explain why. b. If she were risk averse, which investment would she select? Why? c. If she were risk seeking, which investments would she select? Why? d. Suppose a fourth investment, W, is available. It offers an expected return of 18%,and it has a standard deviation of 9%. If Sharon is risk averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose?
You have been asked for your advice in selecting a portfolio of assets and have been supplied with the following data:. You have been told that you can create two portfolios-one consisting of assets A and B and the other consisting of assets A and C-by investing equal proportions (50%) in each of the two component assets. a. What is the average expected return, r, for each asset over the 3-year period? b. What is the standard deviation, s, for each asset's expected return? c. What is the average expected return, rp, for each of the portfolios? d. How would you characterize the correlations of returns of the two assets making up each of the portfolios identified in part c? e. What is the standard deviation of expected returns, Sp, for each portfolio? f. What would happen if you constructed a portfolio consisting of assets A, B, and C, equally weighted? Would this reduce risk or enhance return?
Asset W has an expected return of 12.3 percent and a beta of 1.2. If the risk-free rate is 4 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your expected return answers as a percent rounded to 4 decimal places, e.g., 32.1623, and beta answers to 3 decimal places, e.g., 32.161.) > Answer is complete but not entirely correct. Percentage of Portfolio in Asset W % 0 25 50 75 100 125 150 Portfolio Expected Return 4.0000 % 6.0750X % 8.1500 X % 10.2250 % 12.3000 x % 14.3750 % 16.4500 X % Portfolio Beta 0 0.300 0.600 0.900 1.200 1.500 1.800
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