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.
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
Section: Chapter Questions
Problem 1PS
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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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Given:
VIEWa-i) Set of achievable portfolios in mean-standard deviation when correlation is -1:
VIEWa-ii) Set of achievable portfolios in mean-standard deviation when correlation is 0:
VIEWb: Calculation of Minimum Variance Portfolio:
VIEWc. Formula for the variance of a portfolio with four assets.
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