pleasePlRule of $72$

$1)$ Tom invested $$14,500$ in an account he expects will earn $4\%$ annually. Approximately how many years will it take for the account to double in value?

$2)$ Sam has $$2,000$ and he needs it to grow to $$4,000$ in $10$ years. Assuming he adds no more money to this fund, what rate of return would he need to earn?

Present Value

$3)$ Calculate the present value of $$50,000$ to be received in $13$ years assuming an annual interest rate of $7\%.$

$4)$ Calculate the present value of $$30,000$ to be received in $5$ years assuming an annual interest rate of $10\%,$ compounded monthly.

Future Value

$5)$ Calculate the future value of $$10,000$ invested for $30$ years assuming an annual interest rate of $8\%.$

$6)$ Calculate the future value of $$15,000$ invested for $18$ years assuming an annual interest rate of $11\%$ compounded monthly.

PV Ordinary Annuity

$7)$ Calculate the present value of an ordinary annuity of $$12,500$ received quarterly for $25$ years assuming a discount rate of $6\%.$

$8)$ Calculate the present value of an ordinary annuity of $$5,000$ received monthly for $20$ years assuming a discount rate of $10\%.$

PV Annuity Due

$9)$ Calculate the present value of an annuity of $$8,000$ received quarterly that begins today and continues for $20$ years, assuming a discount rate of $10\%.$

$10)$ Calculate the present value of an annuity of $$5,000$ received monthly that begins today and continues for $25$ years, assuming a discount rate of $12\%.$

FV Ordinary Annuity

$11)$ Calculate the future value of an ordinary annuity of $$4,000$ paid every quarter for $10$ years, assuming an annual earnings rate of $7\%.$

$12)$ Calculate the future value of an ordinary annuity of $$750$ paid every month for $30$ years, assuming an annual earnings rate of $14\%.$

FV Annuity Due

$13)$ Calculate the future value of a quarterly annuity of $$2,000$ beginning today and continuing for $15$ years, assuming an annual earnings rate of $11\%.$

$14)$ Calculate the future value of a monthly annuity of $$10$ beginning today and continuing for $50$ years, assuming an annual earnings rate of $12\%.$

Rate of Return

$15)$ Twelve years ago, your client invested $$50,000.$ They have also made $12$ subsequent deposits of $$2,500$ at the end of each year since that initial deposit. Today, the client$$s account is worth $$192,739.$ What is the compounded rate of return over this period?