State of Economy Probability T-Bills Phillips Pay-up Rubber-Made Market index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15 Above Average 0.3 7 35 -10 45 29 Boom 0.1 7 50 -20 30 43 Mean Standard Deviation Coefficient of Variation

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

 

 

%

Return on

T-Bills, Stocks

And Market

Index

State of Economy

Probability

T-Bills

Phillips

Pay-up

Rubber-Made

Market index

Recession

0.2

7

-22

28

10

-13

Below Average

0.1

7

-2

14.7

-10

1

Average

0.3

7

20

0

7

15

Above Average

0.3

7

35

-10

45

29

Boom

0.1

7

50

-20

30

43

Mean

 

 

 

 

 

 

Standard Deviation

 

 

 

 

 

 

Coefficient of Variation

 

 

 

 

 

 

Covariance with MP

 

 

 

 

 

 

Correlation with Market Index

 

 

 

 

 

 

Beta

 

 

 

 

 

 

CAPM Req. Return

 

 

 

 

 

 

Valuation

(Overvalued/Undervalued/Fairly

Valued)

 

 

 

 

 

 

Nature of Stock

(Aggressive/Defensive)

 

 

 

 

 

 

 

Fill the parts in the above table that are shaded in yellow and show workings manually.  Using the data generated in the previous question, plot the Security market line (SML).  Superimpose the CAPM’s required return on the SML.  Indicate which investments will plot on, above and below the SML? If an investment’s expected return (mean return) does not plot on the SML, what does it show? Identify undervalued/overvalued investments from the graph.  From the information generated in the previous two questions, identify two investments alternatives that can be combined in a portfolio.  Assume a 50-50 investment allocation in each investment alternative.  Compute the expected return of the portfolio thus formed.  Compute the portfolio’s beta.  Is the portfolio aggressive or defensive?

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Worked out manually the Correlation with Market Index, Beta, and CAPM Req. Return.

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Please work out manually the Covariance with MP.

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