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1. What is the present worth of the following series of incomeand disbursements

ID: 2770783 • Letter: 1

Question

1. What is the present worth of the following series of incomeand disbursements if the intrest rate is 6% per year? Year               Income                  Expenses 0                      10,000                    7500 1-5                   1,200                      400 6-9                    900                        800 1. What is the present worth of the following series of incomeand disbursements if the intrest rate is 6% per year? Year               Income                  Expenses 0                      10,000                    7500 1-5                   1,200                      400 6-9                    900                        800

Explanation / Answer

Year

Cash flow

Present Worth

(Income - Expenses)

0

[$10,000 - $7,500] / (1+0.06)0

1

[$1,200 - $400] / (1+0.06)1

2

[$1,200 - $400] / (1+0.06)2

3

[$1,200 - $400] / (1+0.06)3

4

[$1,200 - $400] / (1+0.06)4

5

[$1,200 - $400] / (1+0.06)5

6

[$900 - $800] / (1+0.06)6

7

[$900 - $800] / (1+0.06)7

8

[$900 - $800] / (1+0.06)8

9

[$900 - $800] / (1+0.06)9

Year

Cash flow

Present Worth

(Income - Expenses)

0

[$10,000 - $7,500] / (1+0.06)0

$2,500.00

1

[$1,200 - $400] / (1+0.06)1

$754.71

2

[$1,200 - $400] / (1+0.06)2

$711.99

3

[$1,200 - $400] / (1+0.06)3

$671.69

4

[$1,200 - $400] / (1+0.06)4

$633.71

5

[$1,200 - $400] / (1+0.06)5

$597.84

6

[$900 - $800] / (1+0.06)6

$70.50

7

[$900 - $800] / (1+0.06)7

$66.51

8

[$900 - $800] / (1+0.06)8

$62.74

9

[$900 - $800] / (1+0.06)9

$59.20 Present Worth $6,128.89