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Changing risk level. Mr. Malone wants to change the overall risk of his portfolio. Currently, his portfolio is a combination

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Beta of risky asset =1.25
If he wants beta of 1, weight of risky asset =1/1.25=80%, weight of risk free asset =1-Weight of risky asset =1-80%=20%
If he wants beta of 0.75, weight of risky asset =0.75/1.25=60%, weight of risk free asset =1-Weight of risky asset =1-60%=40%
If he wants beta of 0.5, weight of risky asset =0.5/1.25=40%, weight of risk free asset =1-Weight of risky asset =1-40%=60%
If he wants beta of 0.25, weight of risky asset =0.25/1.25=20%, weight of risk free asset =1-Weight of risky asset =1-20%=80%


Yes there is a pattern Lower the beta more is percentage of risk free asset and lower is the percentage of risky assets.

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