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Assume you are investing 40% of your money in Stock A, and 60% in Stock B. Betas

ID: 2768644 • Letter: A

Question

Assume you are investing 40% of your money in Stock A, and 60% in Stock B. Betas for       

Stock A is 1.2, and for Stock B is 0.8.

                        -------------------------------------------------------

                          Probability    |     Stock A     |     Stock B   |

                        -------------------------------------------------------

                             0.53            |        13%        |       22%       |

                             0.47            |        18%        |       10%       |

                        ------------------------------------------------------

19. The beta for the portfolio is:

a. 0.96.                                    b. 0.78.                        c. 1.10.                        d. 1.20.

20. The standard deviation for the portfolio is:

a. 0.000674.                b. 0.025953.                c. 0.000623.                d. 0.059892.

Explanation / Answer

Weight Beta Weight *beta A 40% 1.2 0.48 B 60% 0.8 0.48 beta for the portfolio 0.96 Return Weight Expected return (return*weight) Total of Stock A and B Expected return Expected return on Portfolio*Probability (.18-.16)^2*.53 Probability     Stock A Stock B Stock A Stock B Stock A Stock B Varaince 0.53 13% 22% 40% 60% 5% 13% 18% 0.09752 0.000316576 0.47 18% 10% 40% 60% 7% 6% 13% 0.06204 0.00035699 12% 19% 16% 0.000673566 Standared deviation SQTR of .000674 0.025953

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