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With a progressive tax (Spreadsheet 21.6), compare the effects of an increase of 1% in the lowest tax bracket to an increase of 1% in the highest tax bracket.

Short Answer

Expert verified

The 1% increase in the lowest tax bracket reduces the retirement annuity to $36815.

The 1% increase in the highest tax bracket reduces the real retirement annuity to $370333.

Step by step solution

01

Comparison of the effect

Retirement Years

Income growth

Rate of inflation

Exemption Now

Tax rate

Savings rate

ROR

25

0.07

0.03

10000

in Table 21.1

0.15

0.06

0.0291

Age

Income

Defactor

Exemption

Taxes

Savings

Cumulative savings

rConsumption

30

50,000

1.00

10,000.00

8,400.00

6240

6240

35,063

31

53,500

1.03

10,300.00

9,151.00

6652

13267

36,599

35

70,128

1.16

11,593.00

13,061.00

8560

50802

41,842

45

1,37,952

1.56

15,580.00

33,609.00

15651

245813

56,927

55

2,71,372

2.09

20,938.00

77,541.00

29075

7,25,893

78,688

65

5,33,829

2.81

28,139.00

1,87,572.00

51954

18,21,534

1,04,626

74,45,673

6,32,759.00

21,45,101.00

7,95,086

Retirement annuity

36,815

Retirement

Nom withdraw

Deflator

Exemption

Taxes

Fund left

rconsumption

66

106699

2.9

28983

16,865.00

1824127

30996

70

120090

3.26

32620

15,987.00

1801160

31914

75

139218

3.78

37816

13,594.00

1672523

33220

80

161391

4.38

43839

9,150.00

1382861

24727

85

187097

5.08

50821

1,762.00

858991

36468

90

216896

5,89

58916

0.00

0

36825

3890156

2,36,400.00

Retirement Years

Income growth

Rate of inflation

Exemption Now

Tax rate

Savings rate

ROR

25

0.07

0.03

10000

in Table 21.1

0.15

0.06

0.0291

Age

Income

Defactor

Exemption

Taxes

Savings

Cumulative savings

rConsumption

30

50,000

1.00

10,000.00

8,000.00

6300

6300

35,700

31

53,500

1.03

10,300.00

8,716.00

6718

13396

36,958

35

70,128

1.16

11,593.00

12,489.00

8646

51310

42,262

45

1,37,952

1.56

15,580.00

32,886.00

15763

248018

57,333

55

2,71,372

2.09

20,938.00

76,587.00

29218

7,31,514

79,076

65

5,33,829

2.81

28,139.00

1,88,156.00

51851

18,32,347

1,04,420

74,45,673

6,32,759.00

21,24,073.00

7,98,240

Retirement annuity

37,033

Retirement

Nom withdraw

Deflator

Exemption

Taxes

Fund left

rconsumption

66

107332

2.9

28983

16,182.00

1834955

31446

70

120803

3.26

32620

15,355.00

1811852

32326

75

140044

3.78

37816

13,069.00

1682452

33577

80

162349

4.38

43839

8,818.00

1391069

35022

85

188207

5.08

50821

1,748.00

864090

36689

3913248

2,29,781.00

02

Comparison of the effect

The spreadsheet shows that the 1% increase in the lowest tax bracket reduces the retirement annuity to $36815.

The 1% increase in the highest tax bracket reduces the real retirement annuity to $37033.

This implies that the higher tax bracket has the least impact because it applies to just a small income.

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