Find the following values:

a$.$ The future value of a lump sum of $$24,000$ invested today at $8\%,$ annual compounding for $10$ years.

b$.$ The future value of a lump sum of $$24,000$ invested today at $8\%,$ quarterly compounding for $10$ years.

c$.$ The present value of $$24,000$ to be received in $10$ years when the opportunity cost $($discount rate$)$ is $8\%,$ annual compounding.

d$.$ The present value of $$24,000$ to be received in $10$ years when the opportunity cost $($discount rate$)$ is $8\%$ quarterly compounding.

e$.$ What is the effective annual rate $($EAR$)$ if the stated rate is $8\%$ and compounding occurs monthly?

f$.$ What is the present value of an ordinary annuity who pays $$24,000$ per year for $10$ years at $8$ percent?

g$.$ What is the present value of an annuity due who pays $$24,000$ per year for $10$ years at $8$ percent?

h$.$ What is the future value of an ordinary annuity who pays $$24,000$ per year for $10$ years at $8$ percent?

i$.$ What is the future value of an annuity due who pays $$24,000$ per year for $10$ years at $8$ percent?