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baherus [9]
3 years ago
5

Jackie has one risk-free asset and one risky stock in her portfolio. The risk-free has an expected return of 3.2 percent. The ri

sky asset has a beta of 1.3 and an expected return of 14.9 percent. What is the expected return on the portfolio if the portfolio beta is 0.975?
Business
1 answer:
masha68 [24]3 years ago
8 0

Answer:

Portfolio Return = 11.975%

Explanation:

The portfolio return is calculated by taking the weights of individual securities in a portfolio and multiplying them by the return of individual securities. The formula can be written as,

Portfolio return = wA * rA + wB * rB

Where,

  • wA is the weight of security A
  • rA is the return on security A
  • wB is the weight of security B
  • rB is the return on security B

The risk free asset has a beta of zero.

Let the weight of risk free asset be x. The weight of risky asset is 1-x.

Portfolio beta =       0.975 =  x * 0 + (1-x) * 1.3

0.975 = 1.3 - 1.3x

0.975 - 1.3 = -1.3x

-0.325 / -1.3 = x

x = 0.25

Portfolio return = 0.25 * 0.032 + (1-0.25) * 0.149 = 0.11975 or 11.975%

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