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8 October, 12:49

Stocks A and B each have an expected return of 12%, a beta of 1.2, and a standard deviation of 25%. The returns on the two stocks have a correlation of + 0.6. Portfolio P has 50% in Stock A and 50% in Stock B.

Which of the following statements is correct?

a. Portfolio P has a beta that is greater than 1.2.

b. Portfolio P has a standard deviation that is greater than 25%.

c. Portfolio P has an expected return that is less than 12%.

d. Portfolio P has a standard deviation that is less than 25%.

e. Portfolio P has a beta that is less than 1.2.

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Answers (1)
  1. 8 October, 13:08
    0
    Answer: d. Portfolio P has a standard deviation that is less than 25%

    Explanation:

    This answer is correct because whenever 2 stocks have a correlation of less than 1, a portfolio consisting of these 2 stocks will always have a standard deviation less than the standard deviation of the stocks standard deviation added according to their weight in the portfolio, so in this case both stocks have a weight of 50% and standard deviation of 25% so their sum will be

    (0.5*25%) + (0.5*25%) = 25%, so the portfolio standard deviation will be less than 25%.
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