Suppose you group all the stocks in the world into two mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the following characteristics:   Expected Return volatility Value stock 15% 14% Growth stock 16% 20% The risk-free rate is 3%. What is the expected return and volatility of the market portfolio (which is a 50–50 combination of the two portfolios)? Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?)

Essentials Of Investments
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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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Suppose you group all the stocks in the world into two mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the following characteristics:

 

Expected Return

volatility

Value stock

15%

14%

Growth stock

16%

20%

The risk-free rate is 3%.

  1. What is the expected return and volatility of the market portfolio (which is a 50–50 combination of the two portfolios)?
  2. Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?)
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