Understanding the Mathematics of Personal Finance

IMMEDIATE ANNUITY WITH PERIOD CERTAIN

An immediate annuity is an annuity that starts making payments immediately. Period certain means that we’re specifying how often the payments are made and how many payments there will be. This is the IAWPC acronym on the spreadsheet tab.

Once again, I am pointing out that anything I say about taxes might not be true when you’re reading it. Tax laws change.

Assuming that things don’t change drastically, the attraction of an annuity lies in how it is taxed. You pay taxes only on the money you pull out of the annuity (the

Table 11.1a Example of an IAWPC as Compared with a Savings Account

Nr monthly payments: 240

Payment:

Rate:

Tax rate:

$2,500

4%

25%

Savings:

Pmt Nr

Calculated principal: $413,929.83

PV of tax bills:

$37,322

Mnth

Year

Balance

Interest

Tax

Tax bill

PV

($)

($)

1

1

1

411,429.83

0.00

0.00

2

2

1

410,301.26

1

,371.43

342.86

3

3

1

409,168.93

1

,367.67

341.92

4

4

1

408,032.83

1

,363.90

340.97

5

5

1

406,892.94

1

,360.11

340.03

6

6

1

405,749.25

1

,356.31

339.08

7

7

1

404,601.74

1

,352.50

338.12

8

8

1

403,450.42

1

,348.67

337.17

9

9

1

402,295.25

1

,344.83

336.21

10

10

1

401,136.24

1

,340.98

335.25

11

11

1

399,973.36

1

,337.12

334.28

12

12

1

398,806.60

1

,333.24

333.31

13

1

2

397,635.96

1

,329.36

332.34

14

2

2

396,461.41

1

,325.45

331.36

15

3

2

395,282.95

1

,321.54

330.38

16

4

2

394,100.56

1

,317.61

329.40

4,051.53

3,854.26

17

5

2

392,914.23

1

,313.67

328.42

18

6

2

391,723.94

1

,309.71

327.43

19

7

2

390,529.69

1

,305.75

326.44

237

9

20

7,450.28

33.06

8.26

238

10

20

4,975.11

24.83

6.21

239

11

20

2,491.69

16.58

4.15

240

12

20

0.00

8.31

2.08

160.00

71.27

Table 11.1b Example of an IAWPC as Compared with a Savings Account

Nr monthly payments: 240

Payment: $2,500

Rate: 4%

Tax rate: 25%

Annuity:

Pmt Nr

Exclusion ratio:

0.690

PV:

$33,596

Mnth

Year

Taxable ($)

Tax ($)

Tax bill ($)

PV ($)

1

1

1

775.29

193.82

2

2

1

775.29

193.82

3

3

1

775.29

193.82

4

4

1

775.29

193.82

5

5

1

775.29

193.82

6

6

1

775.29

193.82

7

7

1

775.29

193.82

8

8

1

775.29

193.82

9

9

1

775.29

193.82

10

10

1

775.29

193.82

11

11

1

775.29

193.82

12

12

1

775.29

193.82

13

1

2

775.29

193.82

14

2

2

775.29

193.82

15

3

2

775.29

193.82

16

4

2

775.29

193.82

2,519.70

2,397.01

17

5

2

775.29

193.82

18

6

2

775.29

193.82

19

7

2

775.29

193.82

237

9

20

775.29

193.82

238

10

20

775.29

193.82

239

11

20

775.29

193.82

240

12

20

775.29

193.82

2,325.88

1,036.08

image091 Подпись: 0.690.

Since insurance companies sell these plans, you may see the principal referred to as the premium. The denominator is the sum of all the payments. For this example,

The fraction of each payment that’s taxed is 1 - 0.690 = 0.31. Given that all the payments are the same, all the tax bills are the same, as shown in columns N through O. In column Q, I showed the present value of these payments, and at the top of the column, I showed the sum of these present values ($33,596).

The present value of the tax bill for the annuity is definitely lower than the present value of the tax bill for the savings account. In addition, examining the tax payments shows that the savings account tax bills are “front loaded”—they are large in early years and small in later years. The tax payments of the annuity are the same year to year. In an economy where there is always some level of inflation, this means that a larger fraction of the annuity tax bills than of the savings tax bills is paid for with “cheaper” dollars. This can be a good thing for you, as was explained in Chapter 9 .

Добавить комментарий

Understanding the Mathematics of Personal Finance

PAYING OFF A LOAN VERY SLOWLY

This section uses a little math, but I’ll go through it slowly in small steps. As with the previous section, this section is not necessary if you don’t want to …

Taxation and Inflation

John Lennon once said, “Life is what happens to you while you’re busy making other plans.” Both taxation and inflation, it seems, are parts of life—they happen to you while …

PARI-MUTUEL BETTING

The pari-mutuel machine system used at race tracks offers a different approach to gambling. A roulette wheel owner is never sure what his or her daily operating cost will be; …

Как с нами связаться:

Украина:
г.Александрия
тел./факс +38 05235  77193 Бухгалтерия
+38 050 512 11 94 — гл. инженер-менеджер (продажи всего оборудования)

+38 050 457 13 30 — Рашид - продажи новинок
e-mail: msd@msd.com.ua
Схема проезда к производственному офису:
Схема проезда к МСД

Партнеры МСД

Контакты для заказов шлакоблочного оборудования:

+38 096 992 9559 Инна (вайбер, вацап, телеграм)
Эл. почта: inna@msd.com.ua

За услуги или товары возможен прием платежей Онпай: Платежи ОнПай