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 in the three assets? How do with investing in asset M alone? Hint Find the standard deviations of asset M and of the portfolio equally invested insets 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.) Asset O Return States Boom Normal Recession Probability Asset M Return Asset N Rotum 32% 22% 5% 13% 11% 5% 53% 15% 11% 15% 2% 13% Print Done

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 in the three assets? How do with investing in asset M alone? Hint Find the standard deviations of asset M and of the portfolio equally invested insets 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.) Asset O Return States Boom Normal Recession Probability Asset M Return Asset N Rotum 32% 22% 5% 13% 11% 5% 53% 15% 11% 15% 2% 13% Print Done

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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Which of the following investments will experience the largest change in its market value as a result of changes in the level of interest rates (we are talking about the absolute value of the change, up or down)? Suppose interest rates go up or down by 50 basis points (0.5%). Rank the investments from 1 to 4 where a 1 is the most affected (largest absolute change in value) while a 4 is the least affected (smallest absolute change in value). A: $1 million invested in 3-month Treasury bills. 请选择~ B: $1 million invested in STRIPS (zero coupons) maturing in three years. |请选择 C: $1 million invested in a Treasury note maturing in three years. The note pays a 5% annual coupon. |请选择︾ D: $1 million invested in a Treasury note maturing in three years. The note pays a 10.0% annual coupon. |请选择

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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?
You are evaluating various investment opportunities currently available and you have the fol-lowing information about five different well-diversified portfolios of risky assets. Interest raterf = 3% a) Calculate the Sharpe ratio for each portfolio. (b) Explain which of these five portfolios is most likely to be the optimal risky portfolio. (c) Suppose you are willing to invest with an expected return of 6%. What would be theinvestment proportions in the riskless asset and the optimal risky portfolio? What is thestandard deviation of the return for this investment?
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
Figure 2 (a) Financial engineering deals with the design of new assets. Draw the payoff (at t=1) of the following butterfly spread: payoff of portfolio Purchase 1 call with exercise price a Sell 2 calls with exercise price (atb)/2 Purchase 1 call with exercise price b as a function of the underlying stock price S at t=1 where a=120 and b=140. (b) An individual agent thinks that there is a high probability that the Dow Jones will have a payoff (or points) between a=34,000 and b-36,000 at t=1. 1=nd Design a digital option (see Figure 1) as a sequence of calls on the Dow that converges to a pure bet on getting $1 on the interval [34,000, 36,000]. ie, if the Dow lies between SE[34,000, 36,000] at t=1, then the portfolio of calls pays off exactly $1. The payoff is 0 otherwise. a+8 Figure 1 (Digital option) payoff a=34,000 b-36,000 S. Hint: You have to modify the sell strategies of a butterfly spread to obtain a payoff as given in Figure 2 and then adjust n and 8 appropriately.
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?
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