You manage a risky portfolio with an expected rate of return of $18\%$ and a standard deviation of

$32\%.$ The T$-$bill rate is $8\%.$

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

Stock A $27\%$

Stock B $36\%$

Stock C $37\%$

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 $16\%.$

a$.$ What is the proportion $y?($Round your answer to the nearest whole number.$)$

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

round intermediate calculations. Round your answers to $2$ decimal places.$)$

c$.$ What is the standard deviation of the rate of return on your client's portfolio? $($Do not round

intermediate calculations. Round your answer to $2$ decimal places.$)$