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One way to use the Sharpe Ratio is to find a best portfolio. The Question 2 tab in the spreadsheet contains 10 years of returns

One way to use the Sharpe Ratio is to find a “best” portfolio. The “Question 2” tab in the spreadsheet contains 10 years of returns for two stocks. Your goal is to find the optimal weights (by which I mean the weights that result in the highest Sharpe Ratio) for stock 1 and 2. Note that for computational purposes, you only need to find the weight for stock 1 (since Stock 2 will be whatever is left over to make the total 100%. I’ve used this fact in the spreadsheet FYI.) To find the weight, you’ll first need to use the weights to calculate the Portfolio Return column, which you’ll need to fill in the Average Return and Volatility cells on the right. For the Sharpe Ratio, you can assume that the risk-free rate is 0.5%. Once you’ve set up the calculations, you can run solver to find the weight in stock 1.

Please show formulas used to solve.

Stock 1 ReturnsStock 2 ReturnsPortfolio ReturnWeight in Stock 1Weight in Stock 2
Year 1-8.0%15.5%50%50%
Year 224.0%13.5%
Year 316.5%-6.4%
Year 49.7%16.7%Portfolio Average Return0.00%
Year 5-9.1%22.7%Portfolio Volatility0.00%
Year 623.9%11.7%
Year 78.8%-11.7%Sharpe Ratio0.00
Year 8-12.7%4.7%
Year 914.1%1.3%
Year 1011.9%8.6%

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