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A stock has a beta of 1.20 and an expected return of 14 percent. A risk-free ass

ID: 2768522 • Letter: A

Question

A stock has a beta of 1.20 and an expected return of 14 percent. A risk-free asset currently earns 3.0 percent.

What is the expected return on a portfolio that is equally invested in the two assets? (Round your answer to 2 decimal places. (e.g., 32.16))

If a portfolio of the two assets has a beta of 0.72, what are the portfolio weights? (Round your answer to 4 decimal places. (e.g., 32.1616))

If a portfolio of the two assets has an expected return of 10 percent, what is its beta? (Do not round intermediate calculations and round your answer to 3 decimal places. (e.g., 32.161))

If a portfolio of the two assets has a beta of 2.40, what are the portfolio weights? (Negative amount should be indicated by a minus sign.)

  

A stock has a beta of 1.20 and an expected return of 14 percent. A risk-free asset currently earns 3.0 percent.

   a.

What is the expected return on a portfolio that is equally invested in the two assets? (Round your answer to 2 decimal places. (e.g., 32.16))

  Expected return %    b.

If a portfolio of the two assets has a beta of 0.72, what are the portfolio weights? (Round your answer to 4 decimal places. (e.g., 32.1616))

Weight of stock    Risk-free weight       c.

If a portfolio of the two assets has an expected return of 10 percent, what is its beta? (Do not round intermediate calculations and round your answer to 3 decimal places. (e.g., 32.161))

  Beta       d.

If a portfolio of the two assets has a beta of 2.40, what are the portfolio weights? (Negative amount should be indicated by a minus sign.)

Weight of stock    Risk-free weight

  

Explanation / Answer


weight of stock = 0.72/ 1.20 = 0.6, round 2 places: 60.00%


weight of risk-free asset = 1 - weight of stock = 1 - 0.60 = 0.40, rounded: 40%

0.10 -0.03= 0.11X
"X", weight of stock = 0.6364
(1 - X), weight of RFR = (1 - weight of stock) = 0.3636 (RFRs have beta = 0), so...
weight of stock * beta of stock = beta of portfolio = 0.6364 * 1.20 = 0.76368 round to 3 places = 0.764

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