You are an investor keen to invest in the shares of Asjeet Ltd and Pinder Ltd. Your plan is to construct a portfolio consisting of a 30% investment in Asjeet Ltd shares and 70% in Pinder Ltd shares. You estimate that the current yield on a 10-year Government bond is 3% p.a. and plan to use this security as a proxy for the risk-free asset. You also estimate that the market risk premium is 6% p.a. You go on to compile the following information with a view to treating the ASX 200 index as a proxy for the market portfolio.   a)What is the standard deviation of returns for your portfolio (as a percentage to two decimal places – e.g. 10.03%)? b)What is the beta of Asjeet Ltd and Pinder Ltd shares (to two decimal places)? c)According to the CAPM, what is the expected return for your portfolio (as a percentage to two decimal places – e.g. 10.03%)?

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
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  1. You are an investor keen to invest in the shares of Asjeet Ltd and Pinder Ltd. Your plan is to construct a portfolio consisting of a 30% investment in Asjeet Ltd shares and 70% in Pinder Ltd shares. You estimate that the current yield on a 10-year Government bond is 3% p.a. and plan to use this security as a proxy for the risk-free asset. You also estimate that the market risk premium is 6% p.a. You go on to compile the following information with a view to treating the ASX 200 index as a proxy for the market portfolio.

 


a)What is the standard deviation of returns for your portfolio (as a percentage to two decimal places – e.g. 10.03%)?

b)What is the beta of Asjeet Ltd and Pinder Ltd shares (to two decimal places)?

c)According to the CAPM, what is the expected return for your portfolio (as a percentage to two decimal places – e.g. 10.03%)?

Asset
Standard
Correlation coefficient (p1,2)
deviation of
returns (p.a.)
Asjeet Ltd
shares
10-year
Government bond
Pinder Ltd
ASX 200
shares
Asjeet Ltd shares
20%
1.0
Pinder Ltd shares
30%
0.6
1.0
ASX 200 index
25%
0.8
0.7
1.0
10-year
Government bond
1.0
Transcribed Image Text:Asset Standard Correlation coefficient (p1,2) deviation of returns (p.a.) Asjeet Ltd shares 10-year Government bond Pinder Ltd ASX 200 shares Asjeet Ltd shares 20% 1.0 Pinder Ltd shares 30% 0.6 1.0 ASX 200 index 25% 0.8 0.7 1.0 10-year Government bond 1.0
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