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Grady Zebrowski, age 25, just graduated from college, accepted his first job with a $47,000 salary, and is already looking forward to retirement in 40

Grady Zebrowski, age 25, just graduated from college, accepted his first job with a $47,000 salary, and is already looking forward to retirement in 40 years. He assumes a 2.9 percent inflation rate and plans to live in retirement for 20 years. He does not want to plan on any Social Security benefits. Assume Grady can earn a 6 percent rate of return on his investments prior to retirement and a 7 percent rate of return on his investments post-retirement to answer the following questions using your financial calculator.

a. Grady wants to replace 90 percent of his current net income. What is his annual need in today's

dollars?

b. Using the table Grady thinks he might have an average tax rate of 13 percent at retirement if he is married. Adjusting for taxes, how much does Grady really need per year, in today's dollars?

c. Adjusting for inflation, how much does Grady need per year in future dollars when he begins retirement in 40 years?

d. If he needs this amount for 20 years, how much does he need in total for retirement? (Hint: Use the inflation-adjusted rate of return.)

e. How much does Grady need to save per month to reach his retirement goal assuming he does not receive any employer match on his retirement savings?

Table 16.2 The Average Tax Rate

Average Tax Rate

Retirement Income

Couples Filling Jointly

Individuals

20,000

7%

10%

30,000

10

14

40,000

12

17

50,000

14

20

60,000

17

22

70,000

19

23

80,000

21

24

90,000

22

25

100,000

23

26

150,000

28

30

Compound Sum of $1 (FVIF)

n

5%

6%

7%

8%

9%

10%

11%

12%

24

3.2251

4.0489

5.0724

6.3412

7.9111

9.8497

12.2392

15.1786

25

3.3864

4.2919

5.4274

6.8485

8.6231

10.8347

13.5855

17.0001

26

3.5557

4.5494

5.8074

7.3964

9.3992

11.9182

15.0799

19.0401

27

3.7335

4.8223

6.2139

7.9881

10.2451

13.1100

16.7386

21.3249

28

3.9201

5.1117

6.6488

8.6271

11.1671

14.4210

18.5799

23.8839

29

4.1161

5.4184

7.1143

9.3173

12.1722

15.8631

20.6237

26.7499

30

4.3219

5.7435

7.6123

10.0627

13.2677

17.4494

22.8923

29.9599

31

4.5380

6.0881

8.1451

10.8677

14.4618

19.1943

25.4104

33.5551

32

4.7649

6.4534

8.7153

11.7371

15.7633

21.1138

28.2056

37.5817

33

5.0032

6.8406

9.3253

12.676

17.182

23.2252

31.3082

42.0915

34

5.2533

7.2510

9.9781

13.6901

18.7284

25.5477

34.7521

47.1425

35

5.5160

7.6861

10.6766

14.7853

20.4140

28.1024

38.5749

52.7996

Present Value of an Annuity (PVIFA)

n

1%

2%

3%

4%

5%

6%

7%

8%

9%

10%

15

13.8651

12.8493

11.9379

11.1184

10.3797

9.7122

9.1079

8.5595

8.0607

7.6061

16

14.7179

13.5777

12.5611

11.6523

10.8378

10.1059

9.4466

8.8514

8.3126

7.8237

17

15.5623

14.2919

13.1661

12.1657

11.2741

10.4773

9.7632

9.1216

8.5436

8.0216

18

16.3983

14.9920

13.7535

12.6593

11.6896

10.8276

10.0591

9.3719

8.7556

8.2014

19

17.2260

15.6785

14.3238

13.1339

12.0853

11.1581

10.3356

9.6036

8.9501

8.3649

20

18.0456

16.3514

14.8775

13.5903

12.4622

11.4699

10.5940

9.8181

9.1285

8.5136

21

18.8570

17.0112

15.4150

14.0292

12.8212

11.7641

10.8355

10.0168

9.2922

8.6487

22

19.6604

17.6580

15.9369

14.4511

13.1630

12.0416

11.0612

10.2007

9.4424

8.7715

23

20.4558

18.2922

16.4436

14.8568

13.4886

12.3034

11.2722

10.3711

9.5802

8.8832

24

21.2434

18.9139

16.9355

15.2470

13.7986

12.5504

11.4693

10.5288

9.7066

8.9847

25

22.0232

19.5235

17.4131

15.6221

14.0939

12.7834

11.6536

10.6748

9.8226

9.0770

26

22.7952

20.1210

17.8768

15.9828

14.3752

13.0032

11.8258

10.8100

9.9290

9.1609

27

23.5596

20.7069

18.3270

16.3296

14.6430

13.2105

11.9867

10.9352

10.0266

9.2372

28

24.3164

21.2813

18.7641

16.6631

14.8981

13.4062

12.1371

11.0511

10.1161

9.3066

29

25.0658

21.8444

19.1885

16.9837

15.1411

13.5907

12.2777

11.1584

10.1983

9.3696

30

25.8077

22.3965

19.6004

17.2920

15.3725

13.7648

12.4090

11.2578

10.2737

9.4269

Future Value of an Annuity (FVIFA)

n

6%

7%

8%

9%

10%

11%

12%

13%

24

50.8156

58.1767

66.7648

76.7898

88.4973

102.174

118.1552

136.8315

25

54.8645

63.2490

73.1059

84.7009

98.3471

114.413

133.3339

155.6196

26

59.1564

68.6765

79.9544

93.3240

109.1818

127.999

150.3339

176.8501

27

63.7058

74.4838

87.3508

102.7231

121.0999

143.079

169.3740

200.8406

28

68.5281

80.6977

95.3388

112.9682

134.2099

159.817

190.6989

227.9499

29

73.6398

87.3465

103.9659

124.1354

148.6309

178.397

214.5828

258.5834

30

79.0582

94.4608

113.2832

136.3075

164.4940

199.021

241.3327

293.1992

31

84.8017

102.0730

123.3459

149.5752

181.9434

221.913

271.2926

332.3151

32

90.8898

110.2182

134.2135

164.0370

201.1378

247.324

304.8477

376.5161

33

97.3432

118.9334

145.9506

179.8003

222.2515

275.529

342.4294

426.4632

34

104.1838

128.2588

158.6267

196.9823

245.4767

306.837

384.5210

482.9034

35

111.4348

138.2369

172.3168

215.7108

271.0244

341.59

431.6635

546.6808

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