Question

"You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.05 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio?"

Answer 1

Answer: 1.95

Step-by-step explanation:

The beta for the other stock in the portfolio will be calculated thus:

Portfolio Beta = (BetaA × WeightA) + (BetaB × WeightB) + (BetaC × WeightC)

= (BetaA × 1/3) + (1.05 × 1/3) + (0 × 1/3)

= (BetaA × 1/3) + 0.35 + 0

Beta A = 1-0.35 × 3

Beta A = 0.65 × 3

Beta A = 1.95