In: Finance
You hold a portfolio consisting of a $5,000 investment in each of 20 different stocks. The portfolio beta is equal to 1.12. You have decided to sell a coal mining stock (b = 1.00) at $5,000 net and use the proceeds to buy a like amount of a mineral rights company stock (b = 2.75). What is the new beta of the portfolio? Select the correct answer.
a. 1.2075
b. 1.1895
c. 1.1955
d. 1.1835
e. 1.2015
Total beta = Number of stocks * Portfolio beta
= 20 * 1.12
= 22.40
Revised total beta = 22.40 - 1.00 + 2.75
= 24.15
Revised Beta of the portfolio = 24.15 / 20
= 1.2075
Correct choice A