In addition to$$ risk$-$free securities$,$ you are currently invested in the Tanglewood$$ Fund, a$$ broad$-$based fund of stocks and other securities with an expected return of $14\%$ and a volatility of $24\%.$Currently$,$ the$$ risk$-$free rate of interest is $3\%.$ Your broker suggests that you add a venture capital fund to your current portfolio. The venture capital fund has an expected return of $20\%,$ a volatility of $79\%,$ and a correlation of $0\mathrm{.}2$ with the Tanglewood Fund. Assume you follow your$$ broker's advice and put $50\%$ of your money in the venture$$ fund:

a$.$ What is the Sharpe ratio of the Tanglewood$$ Fund?

b$.$ What is the Sharpe ratio of your new$$ portfolio?

c$.$ What is the optimal Sharpe ratio you can obtain by investing in the venture$$ fund? $($Hint$$: Use Excel and round your answer to three decimal$$ places.$)$