Question

You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.12 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

Beta for the other stock = 1.88

Step-by-step explanation:

A portfolio is said to be as risky as the market where its beta is exactly equal to 1. A beta of greater than 1 implies the portfolio is riskier than the average market, and less risky where the beta is less than 1.

A portfolio that has an equal proportion of three asset would mean a weight of 1/3 for each asset

So we can represent the portfolio beta as follows:

1 = 1/3×(0) + 1/3× (1.12) + 1/3×y

1= 0.37 + 0.33y

0.33y = 0.626

y= 0.626/0.33

y= 1.88

Beta for the other stock = 1.88