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QUESTION: The capital pricing model can be written as: R= 0 + 1 m+u Where: R = the excess return of an asset ; 1

QUESTION:

The capital pricing model can be written as: R=0+1m+u Where:

R = the excess return of an asset; 1 = the coefficient of excess market return which measures assets beta; m = excess market return; 0 = measure of efficiency, u is the idiosyncratic error term. Table 1 below shows the excess monthly return of certain stock and the corresponding excess monthly market return between February 2009 and January 2010. Use the data to answer the following questions:

Table 1

Date

Excess asset return

Excess market return

January 2010

-3.5

1.0

December 2009

1.5

2.0

November 2009

5.1

7.0

October 2009

-1.5

3.0

September 2009

2.4

2.0

August 2009

2.6

10.0

July 2009

6.3

14.0

June 2009

-0.1

10.0

May 2009

4.8

12.0

April 2009

8.9

6.0

March 2009

7.1

4.0

February 2009

-9.8

15.0

Required:

  1. What kind of data structure is presented in Table 1? (Explain your choice) [2 Marks]
  2. Use the Ordinary Least Squares method to estimate 0 and 1 [6 Marks]
  3. Write the fitted regression model and interpret it [3 Marks]
  4. Estimate the coefficient of determination in the dataset and interpret it [5 Marks]
  5. Discuss the practical meaning of the estimated values in 3 above in terms of risk and efficiency of the assets. [4 Marks]

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