Assume that you manage a risky portfolio with an expected rate of return of $15\%$ and a standard deviation of $29\%.$ The T$-$bill rate is $5\%.$

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

$\backslash$table$[[$Stock A$,228],[$Stock B$,31],[$Stock C$,47]]$

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 $12\%.$

Required:

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

References

Proportion y

$\%$

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.$)$

$\backslash$table$[[$Security$,\backslash$table$[[$Investment$],[$Proportions$]],],[$T$-$Bills,,$\%$