# Calculating the expected return and beta of a portfolio after buying a new stock

You have a portfolio with a total value of $9,000 which has an expected return of 12% with a beta of 1.2. You plan to buy $1,000 of a stock with an expected return of 20% and a beta of 2.0. What will be the expected return and beta of the portfolio after purchasing the new stock?

a) 12.0%, 1.2

b) 12.8%, 1.28

c) 13.2%, 1.4

d) 14.0%, 1.32

https://brainmass.com/economics/finance/expected-return-beta-portfolio-4694

#### Solution Preview

Treat the current portfolio as one stock of $9000 with a beta of 1.2 and an expected return of 12%.

With an addition of $1000, the total portfolio value becomes $10000.

Let Ep = ...

#### Solution Summary

The solution shows in a very easy to understand way the steps required to calculate expected return and beta of a portfolio of stocks. The steps are standard. However, the OTA does a great job of explaining the concepts and steps. The solution can be very easily understood by anyone who has some basic knowledge.