What if you wait ten years before contributing

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Reference no: EM131413557

1- For each of the following, compute the future value:

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:

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:

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:

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?

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?

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?

What if you wait 10 years before contributing?

8- You need $84,000 in 8 years.

If you can earn .51 percent per month, how much will you have to deposit today?

9- For each of the following, compute the future value:

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:

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:

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:

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?

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?

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?

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?

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?

What if you wait 10 years before contributing?

18- You need $78,000 in 9 years.

If you can earn .45 percent per month, how much will you have to deposit today?

Reference no: EM131413557

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