Finance problems

1- For each of the following, compute the future value:  (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)   

Present Value	Years	Interest Rate	Future Value
	$	2,950			10			12	%			$
		8,853			23			10
		93,305			17			5
		231,382			33			3

2- For each of the following, compute the present value:  (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)  

Present Value	Years	Interest Rate	Future Value
$			10			6	%			$	19,128
			2			11					43,317
			14			14					808,382
			19			13					665,816

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., 32.16.)  

Present Value	Years	Interest Rate	Future Value
	$	780			7				%			$	1,511
		970			8								1,848
		21,500			19								148,332
		76,800			22								325,815

4- Solve for the unknown number of years in each of the following:  (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)   

Present Value	Years	Interest Rate	Future Value
	$	850						11	%			$	1,705
		2,541						9					4,300
		34,005						14					393,120
		33,700						21					216,356

5- Imprudential, Inc., has an unfunded pension liability of $766 million that must be paid in 30 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 9 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 2 decimal places, e.g., 32.16.)    Present value            $ 

6- 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 $10,395,500. Unfortunately for the previous owner, he had purchased it in 2011 at a price of $12,453,500.    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., 32.16.)    Rate of return             %

Hint #1

7- You have just made your first $4,500 contribution to your individual retirement account. Assume you earn an annual return 11.0 percent and make no additional contributions.   What will your account be worth when you retire in 45 years?  (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)   Account value            $    What if you wait 10 years before contributing?  (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)   Account value            $ 

8- You need $84,000 in 8 years.   If you can earn .51 percent per month, how much will you have to deposit today?  (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)   Deposit today            $ 

9- For each of the following, compute the future value:  (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)   

Present Value	Years	Interest Rate	Future Value
	$	2,600			7			17	%			$
		9,553			20			9
		100,305			14			10
		238,382			30			4

10- For each of the following, compute the present value:  (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)  

Present Value	Years	Interest Rate	Future Value
$			10			5	%			$	17,528
			2			11					41,717
			14			13					792,382
			19			13					649,816

11- 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., 32.16.)  

Present Value	Years	Interest Rate	Future Value
	$	780			7				%			$	1,511
		970			8								1,848
		21,500			19								148,332
		76,800			22								325,815

12- Solve for the unknown number of years in each of the following:  (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)   

Present Value	Years	Interest Rate	Future Value
	$	300						10	%			$	1,155
		1,991						8					3,750
		32,905						13					387,620
		32,600						20					199,724

13- Assume the total cost of a college education will be $350,000 when your child enters college in 17 years. You presently have $56,000 to invest.   What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?  (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)   Annual rate            %

14- You’re trying to save to buy a new $210,000 Ferrari. You have $35,000 today that can be invested at your bank. The bank pays 4.2 percent annual interest on its accounts.    How long will it be before you have enough to buy the car?  (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)    Length of time             years

15- Imprudential, Inc., has an unfunded pension liability of $758 million that must be paid in 15 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 7 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 2 decimal places, e.g., 32.16.)    Present value            $ 

Hint #1

16- 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 $10,437,500. Unfortunately for the previous owner, he had purchased it in 2009 at a price of $12,491,500.    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., 32.16.)    Rate of return             %

17- You have just made your first $4,000 contribution to your individual retirement account. Assume you earn an annual return 10.9 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., 32.16.)   Account value            $    What if you wait 10 years before contributing?  (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)   Account value            $ 

18- You need $78,000 in 9 years.   If you can earn .45 percent per month, how much will you have to deposit today?  (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)   Deposit today            $