You are considering an investment in a portfolio P with the following expected returns in three different states of nature:    Recession Steady Expansion Probability 0.20 0.65 0.15 Return on P -20%  18%  32%    The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5.   Is P an efficient portfolio relative to the market?

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
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You are considering an investment in a portfolio P with the following expected returns in three different states of nature: 

 

Recession

Steady

Expansion

Probability

0.20

0.65

0.15

Return on P

-20% 

18% 

32% 

 

The risk-free rate is currently 5%, and the market portfolio M has an expected return of 15% and standard deviation of 25%, and its correlation with P is .5.  

              1. Is P an efficient portfolio relative to the market?  
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