$1.$ Compute the future value:

Present value $=2900$; Years $=6,$ Interest Rate $=19\%.$

$($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ Your answer needs to be a positive number.$)$

$2.$ compute the present value:

Years $=9,$ Interest rate $=7\%,$ Future value $=$ $$18,828$

$($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ Your answer needs to be a positive number.$)$

$3.$ Solve for the unknown interest rate in each of the following: $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ Enter your answer as $"10\mathrm{.}05"$ for $10\mathrm{.}05\%$ interest rate.$)$

Present value $=$ $$765,$ Years $=4,$ Future value $=$ $$1,481$

$4.$ Imprudential, Inc., has an unfunded pension liability of $$754$ million that must be paid in $10$ years. To assess the value of the firm$$s stock, financial analysts want to discount this liability back to the present.

If the relevant discount rate is $6$ percent, what is the present value of this liability? $($Enter your answer in dollars, not millions of dollars, e$.$g$.,1,234,567.$ Do not round intermediate calculations and round your answer to the whole number, e$.$g$.,32)$

$5.$ Your coin collection contains $1001952$ silver dollars.

If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in $2058,$ assuming they appreciate at an annual rate of $4\mathrm{.}7$ percent? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$6.$ In $1896,$ the first Green Jacket Golf Championship was held. The winner$$s prize money was $$160.$ In $2015,$ the winner$$s check was $$1,610,000.$ If the winner$$s prize increases at the same rate, what will it be in $2044?($Enter your answer in dollars, not millions of dollars, e$.$g$.,1,234,567.$ Do not round intermediate calculations and round your answer to the whole dollar, e$.$g$.,32.)$

$7.$ Although appealing to more refined tastes, art as a collectible has not always performed so profitably. Assume that in $2015,$ an auction house sold a statute at auction for a price of $$10,542,500.$ Unfortunately for the previous owner, he had purchased it in $2010$ at a price of $$12,586,500.$

What was his annual rate of return on this sculpture? $($A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$8.$ Suppose you are committed to owning a $$200,000$ Ferrari.

If you believe your mutual fund can achieve an annual return of $10\mathrm{.}65$ percent, and you want to buy the car in $11$ years on the day you turn $32,$ how much must you invest today? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$9.$ You have just made your first $$5,000$ contribution to your individual retirement account. Assume you earn an annual return $10\mathrm{.}65$ percent and make no additional contributions.

What will your account be worth when you retire in $42$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$10.$ You have just made your first $$5,000$ contribution to your individual retirement account. Assume you earn an annual return $10\mathrm{.}65$ percent and make no additional contributions.

What if you wait $10$ years before contributing, what will your account be worth when you retire in $42$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$11.$ You expect to receive $$41,000$ at graduation in two years. You plan on investing it at $9\mathrm{.}25$ percent until you have $$176,000.$

How long will you wait from now? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$