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 10% and a volatility of 26%. Currently, the risk-free rate of interest is 5%. Your broker suggests that you add a venture capital fund to your current portfolio. The venture capital fund has an expected return of 22%, a volatility of 82%, and a correlation of 0.2 with the Tanglewood Fund. Assume you follow your broker's advice and put 50% of you money in the venture fund:

a. What is the Sharpe ratio of the Tanglewood Fund? (Round all intermediate values to five decimal places as needed.)

The Sharpe ratio of the Tanglewood Fund is _______ (Round to two decimal places.)

b. What is the Sharpe ratio of your new portfolio? (Round all intermediate values to five decimal places as needed.)

The Sharpe ratio of your new portfolio is ________ (Round to two decimal places.)

c. What is the optimal Sharpe ratio you can obtain by investing in the venture fund and what would be the percentage invested in the venture fund in the optimal portfolio? (Hint: Use Excel and round your answer to two decimal places.) (Round all intermediate values to five decimal places as needed.)

The optimal Sharpe ratio you can obtained by investing in the venture fund is _________? and the percentage in the venture fund would be ____________? (Round first answer to two decimal places and second answer to the nearest whole number.)