Suppose you held a well-diversified portfolio with a very large number of securities and that the single index model holds. If the σ of your portfolio was 0.14 and σM was 0.19, the β of the portfolio would be approximately

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Suppose you held a well-diversified portfolio with a very large number of securities and that the single index model holds. If the

σ of your portfolio was 0.14 and σM was 0.19, the β of the portfolio would be approximately

  1. a) .74
  2. b) .80
  3. c) 1.25
  4. d) 1.56
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Answer: β of the portfolio  =a) .74

Working notes for the above answer is as under

We have been provided with the information that,

σ of your portfolio was 0.14

σM was 0.19,

Now we will calculate β

s2p s2m b2

We put the figure in the above formulla

 (0.14)2/(0.19)2 = 0.5429 

b = 0.74

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