Question

Illustrate the formula for portfolio beta and portfolio expected return.

Step 1

** Portfolio **refers to a set of financial investments owned by the investor. The portfolio of investments includes debentures, stocks, bonds, and mutual funds.

** Portfolio beta coefficient** refers to the systematic risk of a portfolio in relation to the average risky asset in the market. It is the sum of the products of beta coefficients of each asset in the portfolio and their respective weights.

Step 2

*The formula to calculate the portfolio beta:*

β_{P} refers to the portfolio beta coefficient

“x_{1} to x_{n}” refers to the weight of each asset from 1 to “n” in the portfolio

“β_{1} to β_{n}” refers to the beta coefficient of each asset from 1 to “n” in the portfolio.

Step 3

*The formula to calculate the expected return using CAPM:*

E(R_{i}) refers to the expected return on a risky asset

R_{f} refers to the risk-free rate

E(R_{M}) refers to the expected return on the market portfolio

β_{i} refers to the beta coefficient of the risky asset relative to the market portfolio

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