You manage a rlsky portfollo with an expected rate of return of $12\%$ and a standard devlation of $36\%.$ The T$-$bill rate is

$2\%.$

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

overall portfollo will have an expected rate of return of $10\%.$

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 devlation of the rate of return on your client's portfollo?