Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.50 % + 0.65RM + еA RB = -1.60% +0.80RM + еB = OM 21%; R-squareA 0.22; R-squareg = 0.14 Assume you create a portfolio Q, with investment proportions of 0.50 in a risky portfolio P, 0.30 in the market index, and 0.20 in T-bill. Portfolio Pis composed of 60% Stock A and 40% Stock B. Required: a. What is the standard deviation of portfolio Q? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places. b. What is the beta of portfolio Q? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places. c. What is the "firm-specific" risk of portfolio Q? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 4 decimal places. d. What is the covariance between the portfolio and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places. Answer is complete but not entirely correct. a. Standard deviation b. Portfolio beta c. Firm-specific d. Covariance 16.46% 0.66 0.8184 × 288.86

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
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Suppose that the index model for stocks A and B is estimated from excess returns with the following results:
RA
= 3.50% + 0.65RM + еA
RB
ом
= -1.60% +0.80RM + eB
=
=
21%; R-squareд 0.22; R-squareg = 0.14
Assume you create a portfolio Q, with investment proportions of 0.50 in a risky portfolio P, 0.30 in the market index, and 0.20 in T-bill.
Portfolio P is composed of 60% Stock A and 40% Stock B.
Required:
a. What is the standard deviation of portfolio Q?
Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is
provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places.
b. What is the beta of portfolio Q?
Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is
provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places.
c. What is the "firm-specific" risk of portfolio Q?
Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is
provided as 20%. Do not round intermediate calculations. Round your answer to 4 decimal places.
d. What is the covariance between the portfolio and the market index?
Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is
provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places.
Answer is complete but not entirely correct.
a. Standard deviation
b. Portfolio beta
c. Firm-specific
d. Covariance
16.46%
0.66
0.8184x
288.86
Transcribed Image Text:Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.50% + 0.65RM + еA RB ом = -1.60% +0.80RM + eB = = 21%; R-squareд 0.22; R-squareg = 0.14 Assume you create a portfolio Q, with investment proportions of 0.50 in a risky portfolio P, 0.30 in the market index, and 0.20 in T-bill. Portfolio P is composed of 60% Stock A and 40% Stock B. Required: a. What is the standard deviation of portfolio Q? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places. b. What is the beta of portfolio Q? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places. c. What is the "firm-specific" risk of portfolio Q? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 4 decimal places. d. What is the covariance between the portfolio and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round intermediate calculations. Round your answer to 2 decimal places. Answer is complete but not entirely correct. a. Standard deviation b. Portfolio beta c. Firm-specific d. Covariance 16.46% 0.66 0.8184x 288.86
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