Risk Free Rate	Borrowing Rate	Market Index Rate of Return	Std. Deviation of the Market Index
2%	3%	13%	20%

a. ) If you are a passive investor with $100,000, how much (in dollars) will you need to invest in the market index to achieve a target rate of return of 15%? b.) If the borrowing rate goes up, will you need to invest less or more in the market index to achieve the same target return (i.e. 15%)? Why?