You manage a risky portfolio with an expected rate of return of $14\%$ and a standard deviation of $29\%.$ The T$-$bill rate is $3\%.$

Suppose that your client decides to invest in your portfolio a proportion $y$ of the total investment budget so that the

overall portfolio will have an expected rate of return of $8\%.$

Required:

a$.$ What is the proportion $y?$

b$.$ What are your client's investment proportions in your three stocks and the T$-$bill fund?

c$.$ What is the standard deviation of the rate of return on your client's portfolio?

Complete this question by entering your answers in the tabs below.

What are your client's investment proportions in your three stocks and the T$-$bill fund?

Note: Do not round intermediate calculations. Round your answers to $2$ decimal places.