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

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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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.  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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