Question: Q:- The following table provides information on the return distribution for Firm A and the Market portfolio. The firm is 100% equity. State of the

Q:-

The following table provides information on the return distribution for Firm A and the Market portfolio. The firm is 100% equity.

State of the Economy

Probability

Return on Market Portfolio

Firm A Returns

Division 1

Division 2

Recession

0.1

-0.1

-0.2

-0.07

Normal Growth

0.45

0.11

0.12

0.06

Strong Growth

0.3

0.17

0.22

0.11

Boom

0.15

0.45

0.57

0.22

Correlation with Market Portfolio

0.9

0.75

Lastly:

  • Risk free rate = 3%.
  • Expected return on the market = 15.8%
  • Standard deviation of market returns = 14.33%
  • Market of Divisions:
    • The market value of Division 1 is $2 million.
    • Market value of Division 2 is $3 million.

Q(a): Please compute the expected return and standard deviation of returns for each Division.

Q(b): What is the beta for each division?

Q(c): What is the market value of Firm A?

Q(d): Please compute the expected return for Firm A.

Q(e): What is the Firm As beta? (Hint: Think about the beta on a portfolio of assets)

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