Round to $2$ decimal places and answer in percent form $($without $"\%")$ where necessary.

$1.$What would the future value of $$100$ be after $5$ years at $10\%$ compound interest?

$2.$ What would the future value of $$100$ be after $5$ years at $10\%$ simple interest?

$3.$ Suppose you currently have $$2,000$ and plan to purchase a $3-$year certificate of deposit that pays $4\%$ interest compounded annually. How much will you have when the CD matures?

$4.$ How much would $$1,000,000$ due in $100$ years be worth today if the discount rate was $5\%?$

$5.$ The U$.$S$.$ treasury offers to sell you a bond for $$585\mathrm{.}43.$ No payments will be made until the bond matures $10$ years from now, at which time it will be redeemed for $$1,000.$ What interest rate would you earn if you bought this bond for $$585\mathrm{.}43?$

$6.$ How long would it take $$1,000$ to double if it was invested in a bank that paid $6\%$ per year?

$7.$ Assume you plan to buy a condo $5$ years from now, and you estimate that you can save $$2,500$ per year. You plan to deposit the money in a bank account that pays $4\%$ interest, and you will make the first deposit at the end of the year. How much will you have after $5$ years?

$8.$ Assume you plan to buy a condo $5$ years from now, and you estimate that you can save $$2,500$ per year. You plan to deposit the money in a bank account that pays $4\%$ interest, and you will make the first deposit at the beginning of the year. How much will you have after $5$ years?

$9.$ Suppose you borrowed $$30,000$ on a student loan at a rate of $8\%$ and must repay it in three equal installments at the end of each of the next $3$ years. How large would your payments be$?$

$10.$ What is the present value of an ordinary annuity with $10$ payments of $$100$ if the appropriate interest rate is $10\%?$

$11.$ If you had $$100,000$ that was invested at $7\%$ per year. What is the most you could withdraw at the end of each of the next $10$ years and have a zero balance at year $10?$

$12.$ Your uncle named you beneficiary of his life insurance policy. The insurance company gives you a choice of $$100,000$ today or a $12-$year annuity of $$12,000$ a the end of each year. What rate of return is the insurance company offering?

$13.$ What is the present value of a $5-$year ordinary annuity of $$100$ plus an additional $$500$ at the end of year $5$ if the interest rate is $6\%?$