There are two risky assets; their expected returns are 10% and 8%, and their volatilities are 20% and 10%. The correlation between the two assets is zero. The risk-free rate is 2%. Assume that you are considering investing $10,000 into the three assets (two risky and one risk-free), and you have decided that $4,000 should be invested into the risk-free asset (the remaining goes to the risky ones). If you are a mean-variance efficient investor, how much money will you invest in asset 1 (the one with a 10% expected return and a 20% volatility)? answers: $1500 $4800 $6000 $2400

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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There are two risky assets; their expected returns are 10% and 8%, and their volatilities are 20% and 10%. The correlation between the two assets is zero. The risk-free rate is 2%. Assume that you are considering investing $10,000 into the three assets (two risky and one risk-free), and you have decided that $4,000 should be invested into the risk-free asset (the remaining goes to the risky ones). If you are a mean-variance efficient investor, how much money will you invest in asset 1 (the one with a 10% expected return and a 20% volatility)?

answers:

$1500

$4800

$6000

$2400 

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As a mean variance efficient investor, one should invest into two risky assets in such a proportion that the portfolio variance and standard deviation is lowest.

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