Form a portfolio in point T$*$ with a target expected return of $24\%.$ Specifically, estimate the

proportion of your investment budget invested in the index fund $($M$),$ and the proportion invested

in T$-$bills $($or borrowing at the risk$-$free rate$).$ If your investment budget is $$100,000,$ how much

would you invest in the index fund? How much in T$-$Bills?