Compute the future value of $$100$ at a $7$ percent interest rate $5,10,$ and $15$ years into the future. What would the future value be over these time horizons if the interest rate were $4$ percent?

Instructions: Enter your responses rounded to the nearest penny $($two decimal places$).$ Do not round intermediate calculations.

Future values at an $8$ percent interest rate:

Future value in $5$ years $=$$

Future value in $10$ years

Future value in $15$ years $=$$$1$

Future values at a $5$ percent interest rate:

Future value in $5$ years $=$$ $$

Future value in $10$ years $=$$$1$

Future value in $15$ years $=$$ $$

The patterns over different time horizons and at different interest rates show that as the time horizon lengthens, the future value $($Click to select$)v.$ As the interest rate declines, the future value $($Click to select$)v.$