Ebenezer Scrooge has invested 65% of his money in share A and the remainder in share B. He assesses their prospects as follows:   A   B Expected return (%) 16   21 Standard deviation (%) 23   27 Correlation between returns   0.5   What are the expected return and standard deviation of returns on his portfolio? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. How would your answer change if the correlation coefficient were 0 or −0.50? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Is Mr. Scrooge’s portfolio better or worse than one invested entirely in share A, or is it not possible to say?

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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Ebenezer Scrooge has invested 65% of his money in share A and the remainder in share B. He assesses their prospects as follows:

  A   B
Expected return (%) 16   21
Standard deviation (%) 23   27
Correlation between returns   0.5  
  1. What are the expected return and standard deviation of returns on his portfolio?

    Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.

  2. How would your answer change if the correlation coefficient were 0 or −0.50?

    Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.

  3. Is Mr. Scrooge’s portfolio better or worse than one invested entirely in share A, or is it not possible to say?

 

Expert Solution
Step 1: Portfolio standard deviation:

Portfolio standard deviation refers to how much risk the investor is facing as a result of holding a bundle of financial instruments. It mainly deals with risk associated with price volatility.

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