Problem 5-8 Calculating Annuity Values [LO 1] For each of the following annuitie

Question

Problem 5-8 Calculating Annuity Values [LO 1]

For each of the following annuities, calculate the future value. (Enter rounded answers as directed,

but do not use rounded numbers in intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)

Future Value

Annual Payment

Interest Rate

                       Years

$

$

1,500

8

%

10

$

5,000

9

40

$

3,200

6

9

$

7,500

10

30

References

eBook & Resources

For each of the following annuities, calculate the future value. (Enter rounded answers as directed,

but do not use rounded numbers in intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)

Explanation / Answer

Future Value

Annual Payment

Interest Rate

                       Years

$ 21729.84

$

1,500

8

%

10

$1689412

5,000

9

40

$36772.21

3,200

6

9

$1233705

7,500

10

30

FV = PV * [(1 + r)N - 1 ] / r

1) FV = 1500 * [(1+0.08)10 - 1] / 0.08 = 21729.84

2) FV = 5000 * [(1+0.09)40 -1] / 0.09 = 1689412

3) FV = 3200 * [(1+0.06)9 - 1 ] / 0.06 = 36772.21

4) FV = 7500 * [(1+0.10)30 -1]/ 0.10 = 1233705

Future Value

Annual Payment

Interest Rate

                       Years

$ 21729.84

$

1,500

8

%

10

$1689412

5,000

9

%

40

$36772.21

3,200

6

%

9

$1233705

7,500

10

%

30

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