Question $1$

Consider three assets: two risky assets $($asset $1$ and asset $2)$ and the riskless asset. Asset $1$ has an expected return of $5\%$ and a volatility of $10\%.$ Asset $2$ has an expected return of $10\%$ and a volatility of $20\%.$ The riskless asset provides a return of $2\%.$

Question is

Suppose the investor uses the minimum volatility strategy to form two portfolios. Portfolio $1$ invests in asset $1$ and the riskless asset. Portfolio $2$ invests in asset $2$ and the riskless asset. Using target portfolio expected return of $4\%,$ solve for the optimal weights of the two portfolios. Compute the expected return, volatility, and sharpe ratio of the two portfolios. Which portfolio delivers the highest utility?

Please provide answers using the numbers and strategy provided for utility. Also giving final answers expected return, volatility, and sharpe ratio for both portfolios.

Thank you