Assume that you manage a risky portfolio with an expected rate of return of $20\%$ and a standard

deviation of $42\%.$ The T$-$bill rate is $4\%.$

Your risky portfolio includes the following investments in the given proportions:

Stock A $26\%$

Stock B $35$

Stock C $39$

Your client decides to invest in your risky portfolio a proportion $($y$)$ of his total investment budget with

the remainder in a T$-$bill money market fund so that his overall portfolio will have an expected rate of

return of $16\%.$

a$.$ What is the proportion y$?($Round your answer to $1$ decimal place.$)$

b$.$ What are your client's investment proportions in your three stocks and in T$-$bills? $($Round your

intermediate calculations and final answers to $2$ decimal places.$)$

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