You invest $1,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 16% and a standard deviation of 20% and a treasury bill with a rate of return of 5%.

1. What is the proportion of your complete portfolio that should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 9%?
2. What are the proportions of the risky portfolio and risk free asset when a complete portfolio that has an expected value of $1,200 in one year?
3. Draw the CAL of your portfolio on an expected return/standard deviation diagram.
4. What is the slope of the capital allocation line (reward to volatility ratio) formed with the risky portfolio?