6- An investor invests 45% of his wealth in a risky asset with an expected rate of return of 0.20 and a variance of 0.12 and 65% in a T-bill that pays 4%. His portfolio's expected return and standard deviation are and respectively. 130 a) 0.197; 0.144 b) 0.098; 0.111 c) 0.086; 0.136 d) 0.112; 0.054

6- An investor invests 45% of his wealth in a risky asset with an expected rate of return of 0.20 and a variance of 0.12 and 65% in a T-bill that pays 4%. His portfolio's expected return and standard deviation are and respectively. 130 a) 0.197; 0.144 b) 0.098; 0.111 c) 0.086; 0.136 d) 0.112; 0.054

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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Question

6 -
An investor invests 45% of his wealth in a risky asset with an expected rate of return of 0.20 and a variance of
0.12 and 65% in a T-bill that pays 4%. His portfolio's expected return and standard deviation are
and
, respectively.
130
a) O 0.197; 0.144
b) O 0.098; 0.111
c) O 0.086; 0.136
d) O 0.112; 0.054

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Parts A-C have already been answered, looking for answer D.
Suppose a portfolio is given as follows: Securities Weight BPW CJW AJT O 6.0% O 5.0% 0.3 O 5.1% 0.4 O 7.0% Onone listed Expected Standard Return Deviation 6% 7% 0.3 5% What is the expected return of the portfolio (to 1 decimal place)? 6% 4% 3%
The expected return for asset A is 4.00% with a standard deviation of 9.00%, and the expected return for asset B is 6.75% with a standard deviation of 3.00%. Based on your knowledge of efficient portfolios, fill in the blanks in the following table with the appropriate answers. Proportion of Portfolio in Security A WA 1.00 0.75 0.50 0.25 0.00 Proportion of Portfolio in Security B WB 0.00 0.25 0.50 0.75 1.00 Expected Portfolio Return FP 4.00% 4.69% 6.06% 6.75% Standard Deviation Op Case I (PAB= -0.4) 6.5 4.1 2.5 3.0 Standard Deviation op Case II (PAB= 0.3) 9.0 5.2 3.6 3.0 The minimum risk portfolio allocation to asset A within the portfolio for case III is. Therefore, you are better off Standard Deviation op Case III (PAB=0.8) 9.0 7.4 5.8 ▼ 3.0
B 1.
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
Q6. ) A portfolio is formed by investing 32% in Asset-1; 28% in Asset-2; and 40% in Asset-3. The covariances of the three assets with the market portfolio are 24, 36, and 48. The variance of the market portfolio is 40. If the risk - less rate is 7.5%, and the expected return on the market portfolio is 12.5%, what is the expected return of this portfolio, assuming that the CAPM is valid?
An investor has preferences represented by the utility function U = E(r) - 20². What is her certainty equivalent return for a portfolio with an expected return of 10% and a standard deviation of 15%? Oa. 1.0% O b. 2.5% O c. 0.5% O d. 5.5% O e. 10.0%
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?
1. Suppose you have n risky assets you can combine in a portfolio. Each risky asset has an expected return of 8% and a standard deviation of 30%. The risky assets are uncorrelated with each other. (a) Consider an equally weighted portfolio of 2 of these securities. What is its expected return? What will its standard deviation be? (b) Consider an equally weighted portfolio of 30 of these securities. What is its expected return? What will its standard deviation be? (c) Suppose we let the number of these securities increase without bound. That is, n→ ∞o. What happens to the standard deviation of an equally weighted portfolio of these securities as the number of assets in the portfolio becomes extremely large? What will the riskless rate be in this case, and why? -int IDE
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4

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