1.2. Refer to the following observations for stock A and the market portfolio in the table: Month Rate of return Stock A 0,30 Market portfolio 0,12 1 0,08 -0,10 -0,02 0.24 3 -0,04 4 0,10 0,06 5 0,08 0,10 0,07 a) Calculate the main statistic measures to explain the relationship between stock A and the market portfolio: i) The sample covariance between rate of return for the stock A and the market. ii) The sample Beta factor of stock A. iii) The sample correlation coefficient between the rates of return of the stock A and

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
Section: Chapter Questions
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1.2. Refer to the following observations for stock A and the market portfolio in the table:
Month
Rate of return
Stock A
Market portfolio
1
0.30
0,12
0.24
0,08
3
-0,04
-0,10
-0,02
0,08
0,07
4
0,10
5
0,06
6
0,10
a) Calculate the main statistic measures to explain the relationship between stock A
and the market portfolio:
i) The sample covariance between rate of return for the stock A and the market.
ii) The sample Beta factor of stock A.
iii) The sample correlation coefficient between the rates of return of the stock A and
the market.
iv) The sample coefficient of determination associated with the stock A and the mar-
ket.
b) Draw in the characteristic line of the stock A and give the interpretation - what
does it show for the investor?
c) Calculate the sample residual variance associated with stock's A characteristic line
and explain how the investor would interpret the number of this statistic.
d) Do you recommend this stock for the investor with the lower tolerance of risk?
Transcribed Image Text:1.2. Refer to the following observations for stock A and the market portfolio in the table: Month Rate of return Stock A Market portfolio 1 0.30 0,12 0.24 0,08 3 -0,04 -0,10 -0,02 0,08 0,07 4 0,10 5 0,06 6 0,10 a) Calculate the main statistic measures to explain the relationship between stock A and the market portfolio: i) The sample covariance between rate of return for the stock A and the market. ii) The sample Beta factor of stock A. iii) The sample correlation coefficient between the rates of return of the stock A and the market. iv) The sample coefficient of determination associated with the stock A and the mar- ket. b) Draw in the characteristic line of the stock A and give the interpretation - what does it show for the investor? c) Calculate the sample residual variance associated with stock's A characteristic line and explain how the investor would interpret the number of this statistic. d) Do you recommend this stock for the investor with the lower tolerance of risk?
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