Would you prefer making a $$25,000$ investment that will earn interest at the rate of $6$ percent compounded monthly or making the same $$25,000$ investment at $7$ percent compounded annually? $($Hint: Consider one year only.$)$ Suppose you deposit $$1,250$ at the end of each quarter in $/$bar $($c$)$ annual rate of $10$ percent compounded quarterly. How much will you have at the end of four years? An investor can make an investment in a real estate development and receive an expected cash return of $$45,000$ at the beginning of six years. Based on a careful study of other investment alternatives, she believes that a $9$ percent annual return compounded quarterly is a reasonable return to earn on this investment. How much should she pay for it today?