COMPANY        PRICE          # SHARES          BETA  Goodmonth       $ 25.00             400                  + 3.0 Icestone            $250.00             200                  – 1.0 Bridgerock         $50.00              800                   + 2.0 A. What is the beta of your portfolio? B. If you expect the market to earn 13% and the risk-free rate is 3%, what is the required return of the portfolio?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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COMPANY        PRICE          # SHARES          BETA 

Goodmonth       $ 25.00             400                  3.0

Icestone            $250.00             200                  1.0

Bridgerock         $50.00              800                   2.0

A. What is the beta of your portfolio?

B. If you expect the market to earn 13% and the risk-free rate is 3%, what is the required return of the portfolio? 

Expert Solution
Step 1

For calculating portfolio beta we need to multiply the individual beta with the weight of individual investment.

And to calculate the Required return of the portfolio we can take help of CAPM Model.

As per capital asset pricing model required return can be calculated using the formula mention below.

Required Return = Return Risk Free + (Return Market - Return risk free) x Beta of portfolio. 

A- Calculation of Portfolio Beta

Company Price Shares Market Value Weight Beta Weight x Beta
Goodmonth 25 400 10000 0.1 3 0.30
Icestone 250 200 50000 0.5 -1 -0.50
Bridgerock 50 800 40000 0.4 2 0.80
      100000     0.60

Herein Weight is calculated by dividing individual market value from Total Market value which is 100000 

Hence Portfolio beta is 0.60

 

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