A mutual fund is an investment vehicle that allows investors, by pooling their money together,

to own a diversified portfolio of stocks with a relatively small investment $($equivalent owning a

fractional number of shares of a large number of companies$).$ Suppose you want to keep $50\%$ of

your portfolio in a particular mutual fund which has an expected return of $10\%.$ There are also

two companies you$$ve done investment research on$,$ whose stocks you$$d like to invest in

separately. Stock A has an expected return of $16\%,$ while stock B has an expected return of $19\%.$

If you$$d like your whole portfolio $($including your ownership of the mutual fund$)$ to have an

expected return of $14\%,$ what percentage of your total portfolio should you invest in stocks A

and B respectively?

A$.$ Invest $-50\%$ of your portfolio value in Stock A and $200\%$ in Stock B

B$.$ Invest $16\mathrm{.}7\%$ of your portfolio value in Stock A and $33\mathrm{.}3\%$ in Stock B

C$.$ Invest $16\mathrm{.}7\%$ of your portfolio value in Stock A and $83\mathrm{.}3\%$ in Stock B

D$.$ Invest $39\mathrm{.}5\%$ of your portfolio value in Stock A and $10\mathrm{.}5\%$ in Stock B

E$.$ Invest $60\mathrm{.}5\%$ of your portfolio value in Stock A and $30\mathrm{.}5\%$ in Stock B