Find the following values. Compounding$/$discounting occurs annually. Do not round intermediate calculations. Round your answers to the nearest cent.

a$.$ An initial $$800$ compounded for $10$ years at $9\%.$

$

b$.$ An initial $$800$ compounded for $10$ years at $18\%.$

$

c$.$ The present value of $$800$ due in $10$ years at $9\%.$

$

d$.$ The present value of $$2,575$ due in $10$ years at $18\%$ and $9\%.$

Present value at $18\%$: $

Present value at $9\%$: $

e$.$ Define present value.

The present value is the value today of a sum of money to be received in the future and in general is less than the future value.

The present value is the value today of a sum of money to be received in the future and in general is greater than the future value.

The present value is the value today of a sum of money to be received in the future and in general is equal to the future value.

The present value is the value in the future of a sum of money to be received today and in general is less than the future value.

The present value is the value in the future of a sum of money to be received today and in general is greater than the future value.

$-$Select$-$

How are present values affected by interest rates?