$9$ a$)$ What is the future value of $$12,000($deposited today, no other deposits made$)$ after thirteen years assuming $6\mathrm{.}24\%$ annual rate, with semi$-$annual compounding?

b$)$ What is the effective annual rate $($EAR$)$ for $6\mathrm{.}24\%$ annual interest, with interest compounded on a semiannual basis? Be sure to show your EAR answer to $2$ decimals, that is xx$.$xx$\%$

a$)$ What is the future value of $$12,000($as above$)$ after thirteen years assuming $6\mathrm{.}24\%$ annual rate, with quarterly compounding?

d$)$ What is the effective annual rate $($EAR$)$ for $6\mathrm{.}24\%$ annual interest rate with quarterly compounding?

e$)$ Explain how the effective annual rate changes based on the number of compounding periods per year.

f$)$ What is the future value of $$12,000($as above$)$ after thirteen years assuming $6\mathrm{.}24\%$ annual interest, with daily compounding? Assume a $365-$day year and do not do any interim rounding.

g$)$ What is the effective annual rate for $6\mathrm{.}24\%($APR$)$ annual interest with daily compounding?