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Assume you are considering investing your personal portfolio in only two possible risky assets: 60% invested in Asset Y and the rest in Asset Z.

  1. Assume you are considering investing your personal portfolio in only two possible risky assets: 60% invested in Asset Y and the rest in Asset Z. The characteristics of these two risky assets are as follows:
    • Asset Y has an Expected Return of 12% and a standard deviation of 15%
    • Asset Z has an Expected Return of 9% and a standard deviation of 12%
    • Correlation between the returns of Asset Y and Asset Z is 0.20

  1. Find the Expected Return of this 2-Asset Portfolio.

  1. What is the Standard Deviation of this 2-Asset Portfolio?

  1. Finally, if the correlation were to suddenly drop to -0.3 and all other inputs stayed the same, in what direction would you expect this portfolios Sharpe Ratio to change? Why?

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