Consider the expected return and standard deviation of the following two assets:   Asset 1:  E[r1]=0.1  and  σ1=0.2    Asset 2: E[r2]=0.3  and  σ2=0.4     (a) Draw (e.g. with Excel) the set of achievable portfolios in mean-standard deviation space for the cases: (i) ρ12= -1, (ii) ρ12=0.   (b) Suppose ρ12=-1. Which portfolio has the minimal variance? What is the variance and expected return of that portfolio?     (c) Derive the formula for the variance of a portfolio with four assets.

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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Consider the expected return and standard deviation of the following two assets:

 

Asset 1:  E[r1]=0.1  and  σ1=0.2 

 

Asset 2: E[r2]=0.3  and  σ2=0.4

 

 

(a) Draw (e.g. with Excel) the set of achievable portfolios in mean-standard deviation

space for the cases: (i) ρ12= -1, (ii) ρ12=0.

 

(b) Suppose ρ12=-1. Which portfolio has the minimal variance? What is the variance and

expected return of that portfolio?  

 

(c) Derive the formula for the variance of a portfolio with four assets. 

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