Peter is a financial investor who actively buys and sells in the securities market. Peter has a portfolio which provided the returns of 13.7%, 10.5%, - 11.7%, 25.5% and 19.2% over the past five years, respectively. Required: Calculate the arithmetic and geometric average returns of Peter’s portfolio for this five-year period. Assume that the expected return of the share A in Peter’s portfolio is 15.4%. The market risk premium is 6.8%, Government Bond rate of return is 7.2%. Calculate the beta co-efficient of this share using the Capital Asset Pricing Model (CAPM). Peter has just set up another portfolio that comprises of two shares only: $3,500 Blue shares and $4,700 Red shares. Below is the data of this portfolio: Blue Red Expected return 17% 23% Standard Deviation of return 22% 39% Correlation of coefficient (p) - 0.45 Compute the expected return and measure the risk of Peter’s portfolio by calculating the portfolio standard deviation.

EBK CFIN
6th Edition
ISBN:9781337671743
Author:BESLEY
Publisher:BESLEY
Chapter8: Risk And Rates Of Return
Section: Chapter Questions
Problem 18PROB
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Peter is a financial investor who actively buys and sells in the securities market. Peter has a portfolio which provided the returns of 13.7%, 10.5%, - 11.7%, 25.5% and 19.2% over the past five years, respectively.

 

Required:

  1. Calculate the arithmetic and geometric average returns of Peter’s portfolio for this five-year period.
  2. Assume that the expected return of the share A in Peter’s portfolio is 15.4%. The market risk premium is 6.8%, Government Bond rate of return is 7.2%. Calculate the beta co-efficient of this share using the Capital Asset Pricing Model (CAPM).
  3. Peter has just set up another portfolio that comprises of two shares only: $3,500 Blue shares and $4,700 Red shares. Below is the data of this portfolio:

 

 

Blue

Red

Expected return

17%

23%

Standard Deviation of return

22%

39%

Correlation of coefficient (p)

-        0.45

 

Compute the expected return and measure the risk of Peter’s portfolio by calculating the portfolio standard deviation.

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