year

2%

3%

4%

5%

6%

7%

8%

9%

10%

12%

1

0.9804

0.9709

0.9615

0.9524

0.9434

0.9346

0.9259

0.9174

0.9091

0.8929

2

0.9612

0.9426

0.9246

0.9070

0.8900

0.8734

0.8573

0.8417

0.8264

0.7972

3

0.9423

0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118

4

0.9238

0.8885

0.8548

0.8227

0.7921

0.7629

0.7350

0.7084

0.6830

0.6355

5

0.9057

0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674

6

0.8880

0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066

7

0.8706

0.8131

0.7599

0.7107

0.6651

0.6227

0.5835

0.5470

0.5132

0.4523

8

0.8535

0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039

9

0.8368

0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606

10

0.8203

0.7441

0.6756

0.6139

0.5584

0.5083

0.4632

0.4224

0.3855

0.3220

11

0.8043

0.7224

0.6496

0.5847

0.5268

0.4751

0.4289

0.3875

0.3505

0.2875

12

0.7885

0.7014

0.6246

0.5568

0.4970

0.4440

0.3971

0.3555

0.3186

0.2567

13

0.7730

0.6810

0.6006

0.5303

0.4688

0.4150

0.3677

0.3262

0.2897

0.2292

14

0.7579

0.6611

0.5775

0.5051

0.4423

0.3878

0.3405

0.2992

0.2633

0.2046

15

0.7430

0.6419

0.5553

0.4810

0.4173

0.3624

0.3152

0.2745

0.2394

0.1827

16

0.7284

0.6232

0.5339

0.4581

0.3936

0.3387

0.2919

0.2519

0.2176

0.1631

17

0.7142

0.6050

0.5134

0.4363

0.3714

0.3166

0.2703

0.2311

0.1978

0.1456

18

0.7002

0.5874

0.4936

0.4155

0.3503

0.2959

0.2502

0.2120

0.1799

0.1300

19

0.6864

0.5703

0.4746

0.3957

0.3305

0.2765

0.2317

0.1945

0.1635

0.1161

20

0.6730

0.5537

0.4564

0.3769

0.3118

0.2584

0.2145

0.1784

0.1486

0.1037

21

0.6598

0.5375

0.4388

0.3589

0.2942

0.2415

0.1987

0.1637

0.1351

0.0926

22

0.6468

0.5219

0.4220

0.3418

0.2775

0.2257

0.1839

0.1502

0.1228

0.0826

23

0.6342

0.5067

0.4057

0.3256

0.2618

0.2109

0.1703

0.1378

0.1117

0.0738

24

0.6217

0.4919

0.3901

0.3101

0.2470

0.1971

0.1577

0.1264

0.1015

0.0659

25

0.6095

0.4776

0.3751

0.2953

0.2330

0.1842

0.1460

0.1160

0.0923

0.0588

26

0.5976

0.4637

0.3607

0.2812

0.2198

0.1722

0.1352

0.1064

0.0839

0.0525

27

0.5859

0.4502

0.3468

0.2678

0.2074

0.1609

0.1252

0.0976

0.0763

0.0469

28

0.5744

0.4371

0.3335

0.2551

0.1956

0.1504

0.1159

0.0895

0.0693

0.0419

29

0.5631

0.4243

0.3207

0.2429

0.1846

0.1406

0.1073

0.0822

0.0630

0.0374

30

0.5521

0.4120

0.3083

0.2314

0.1741

0.1314

0.0994

0.0754

0.0573

0.0334

31

0.5412

0.4000

0.2965

0.2204

0.1643

0.1228

0.0920

0.0691

0.0521

0.0298

32

0.5306

0.3883

0.2851

0.2099

0.1550

0.1147

0.0852

0.0634

0.0474

0.0266

33

0.5202

0.3770

0.2741

0.1999

0.1462

0.1072

0.0789

0.0582

0.0431

0.0238

34

0.5100

0.3660

0.2636

0.1904

0.1379

0.1002

0.0730

0.0534

0.0391

0.0212

35

0.5000

0.3554

0.2534

0.1813

0.1301

0.0937

0.0676

0.0490

0.0356

0.0189

36

0.4902

0.3450

0.2437

0.1727

0.1227

0.0875

0.0626

0.0449

0.0323

0.0169

37

0.4806

0.3350

0.2343

0.1644

0.1158

0.0818

0.0580

0.0412

0.0294

0.0151

38

0.4712

0.3252

0.2253

0.1566

0.1092

0.0765

0.0537

0.0378

0.0267

0.0135

39

0.4619

0.3158

0.2166

0.1491

0.1031

0.0715

0.0497

0.0347

0.0243

0.0120

40

0.4529

0.3066

0.2083

0.1420

0.0972

0.0668

0.0460

0.0318

0.0221

0.0107

year

2%

3%

4%

5%

6%

7%

8%

9%

10%

12%

1

1.0200

1.0300

1.0400

1.0500

1.0600

1.0700

1.0800

1.0900

1.1000

1.1200

2

1.0404

1.0609

1.0816

1.1025

1.1236

1.1449

1.1664

1.1881

1.2100

1.2544

3

1.0612

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310

1.4049

4

1.0824

1.1255

1.1699

1.2155

1.2625

1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1041

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105

1.7623

6

1.1262

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716

1.9738

7

1.1487

1.2299

1.3159

1.4071

1.5036

1.6058

1.7138

1.8280

1.9487

2.2107

8

1.1717

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436

2.4760

9

1.1951

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579

2.7731

10

1.2190

1.3439

1.4802

1.6289

1.7908

1.9672

2.1589

2.3674

2.5937

3.1058

11

1.2434

1.3842

1.5395

1.7103

1.8983

2.1049

2.3316

2.5804

2.8531

3.4785

12

1.2682

1.4258

1.6010

1.7959

2.0122

2.2522

2.5182

2.8127

3.1384

3.8960

13

1.2936

1.4685

1.6651

1.8856

2.1329

2.4098

2.7196

3.0658

3.4523

4.3635

14

1.3195

1.5126

1.7317

1.9799

2.2609

2.5785

2.9372

3.3417

3.7975

4.8871

15

1.3459

1.5580

1.8009

2.0789

2.3966

2.7590

3.1722

3.6425

4.1772

5.4736

16

1.3728

1.6047

1.8730

2.1829

2.5404

2.9522

3.4259

3.9703

4.5950

6.1304

17

1.4002

1.6528

1.9479

2.2920

2.6928

3.1588

3.7000

4.3276

5.0545

6.8660

18

1.4282

1.7024

2.0258

2.4066

2.8543

3.3799

3.9960

4.7171

5.5599

7.6900

19

1.4568

1.7535

2.1068

2.5270

3.0256

3.6165

4.3157

5.1417

6.1159

8.6128

20

1.4859

1.8061

2.1911

2.6533

3.2071

3.8697

4.6610

5.6044

6.7275

9.6463

21

1.5157

1.8603

2.2788

2.7860

3.3996

4.1406

5.0338

6.1088

7.4002

10.8038

22

1.5460

1.9161

2.3699

2.9253

3.6035

4.4304

5.4365

6.6586

8.1403

12.1003

23

1.5769

1.9736

2.4647

3.0715

3.8197

4.7405

5.8715

7.2579

8.9543

13.5523

24

1.6084

2.0328

2.5633

3.2251

4.0489

5.0724

6.3412

7.9111

9.8497

15.1786

25

1.6406

2.0938

2.6658

3.3864

4.2919

5.4274

6.8485

8.6231

10.8347

17.0001

26

1.6734

2.1566

2.7725

3.5557

4.5494

5.8074

7.3964

9.3992

11.9182

19.0401

27

1.7069

2.2213

2.8834

3.7335

4.8223

6.2139

7.9881

10.2451

13.1100

21.3249

28

1.7410

2.2879

2.9987

3.9201

5.1117

6.6488

8.6271

11.1671

14.4210

23.8839

29

1.7758

2.3566

3.1187

4.1161

5.4184

7.1143

9.3173

12.1722

15.8631

26.7499

30

1.8114

2.4273

3.2434

4.3219

5.7435

7.6123

10.0627

13.2677

17.4494

29.9599

31

1.8476

2.5001

3.3731

4.5380

6.0881

8.1451

10.8677

14.4618

19.1943

33.5551

32

1.8845

2.5751

3.5081

4.7649

6.4534

8.7153

11.7371

15.7633

21.1138

37.5817

33

1.9222

2.6523

3.6484

5.0032

6.8406

9.3253

12.6760

17.1820

23.2252

42.0915

34

1.9607

2.7319

3.7943

5.2533

7.2510

9.9781

13.6901

18.7284

25.5477

47.1425

35

1.9999

2.8139

3.9461

5.5160

7.6861

10.6766

14.7853

20.4140

28.1024

52.7996

36

2.0399

2.8983

4.1039

5.7918

8.1473

11.4239

15.9682

22.2512

30.9127

59.1356

37

2.0807

2.9852

4.2681

6.0814

8.6361

12.2236

17.2456

24.2538

34.0039

66.2318

38

2.1223

3.0748

4.4388

6.3855

9.1543

13.0793

18.6253

26.4367

37.4043

74.1797

39

2.1647

3.1670

4.6164

6.7048

9.7035

13.9948

20.1153

28.8160

41.1448

83.0812

40

2.2080

3.2620

4.8010

7.0400

10.2857

14.9745

21.7245

31.4094

45.2593

93.0510

year

2%

3%

4%

5%

6%

7%

8%

9%

10%

12%

1

0.9804

0.9709

0.9615

0.9524

0.9434

0.9346

0.9259

0.9174

0.9091

0.8929

2

1.9416

1.9135

1.8861

1.8594

1.8334

1.8080

1.7833

1.7591

1.7355

1.6901

3

2.8839

2.8286

2.7751

2.7232

2.6730

2.6243

2.5771

2.5313

2.4869

2.4018

4

3.8077

3.7171

3.6299

3.5460

3.4651

3.3872

3.3121

3.2397

3.1699

3.0373

5

4.7135

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908

3.6048

6

5.6014

5.4172

5.2421

5.0757

4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.4720

6.2303

6.0021

5.7864

5.5824

5.3893

5.2064

5.0330

4.8684

4.5638

8

7.3255

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349

4.9676

9

8.1622

7.7861

7.4353

7.1078

6.8017

6.5152

6.2469

5.9952

5.7590

5.3282

10

8.9826

8.5302

8.1109

7.7217

7.3601

7.0236

6.7101

6.4177

6.1446

5.6502

11

9.7868

9.2526

8.7605

8.3064

7.8869

7.4987

7.1390

6.8052

6.4951

5.9377

12

10.5753

9.9540

9.3851

8.8633

8.3838

7.9427

7.5361

7.1607

6.8137

6.1944

13

11.3484

10.6350

9.9856

9.3936

8.8527

8.3577

7.9038

7.4869

7.1034

6.4235

14

12.1062

11.2961

10.5631

9.8986

9.2950

8.7455

8.2442

7.7862

7.3667

6.6282

15

12.8493

11.9379

11.1184

10.3797

9.7122

9.1079

8.5595

8.0607

7.6061

6.8109

16

13.5777

12.5611

11.6523

10.8378

10.1059

9.4466

8.8514

8.3126

7.8237

6.9740

17

14.2919

13.1661

12.1657

11.2741

10.4773

9.7632

9.1216

8.5436

8.0216

7.1196

18

14.9920

13.7535

12.6593

11.6896

10.8276

10.0591

9.3719

8.7556

8.2014

7.2497

19

15.6785

14.3238

13.1339

12.0853

11.1581

10.3356

9.6036

8.9501

8.3649

7.3658

20

16.3514

14.8775

13.5903

12.4622

11.4699

10.5940

9.8181

9.1285

8.5136

7.4694

21

17.0112

15.4150

14.0292

12.8212

11.7641

10.8355

10.0168

9.2922

8.6487

7.5620

22

17.6580

15.9369

14.4511

13.1630

12.0416

11.0612

10.2007

9.4424

8.7715

7.6446

23

18.2922

16.4436

14.8568

13.4886

12.3034

11.2722

10.3711

9.5802

8.8832

7.7184

24

18.9139

16.9355

15.2470

13.7986

12.5504

11.4693

10.5288

9.7066

8.9847

7.7843

25

19.5235

17.4131

15.6221

14.0939

12.7834

11.6536

10.6748

9.8226

9.0770

7.8431

26

20.1210

17.8768

15.9828

14.3752

13.0032

11.8258

10.8100

9.9290

9.1609

7.8957

27

20.7069

18.3270

16.3296

14.6430

13.2105

11.9867

10.9352

10.0266

9.2372

7.9426

28

21.2813

18.7641

16.6631

14.8981

13.4062

12.1371

11.0511

10.1161

9.3066

7.9844

29

21.8444

19.1885

16.9837

15.1411

13.5907

12.2777

11.1584

10.1983

9.3696

8.0218

30

22.3965

19.6004

17.2920

15.3725

13.7648

12.4090

11.2578

10.2737

9.4269

8.0552

31

22.9377

20.0004

17.5885

15.5928

13.9291

12.5318

11.3498

10.3428

9.4790

8.0850

32

23.4683

20.3888

17.8736

15.8027

14.0840

12.6466

11.4350

10.4062

9.5264

8.1116

33

23.9886

20.7658

18.1476

16.0025

14.2302

12.7538

11.5139

10.4644

9.5694

8.1354

34

24.4986

21.1318

18.4112

16.1929

14.3681

12.8540

11.5869

10.5178

9.6086

8.1566

35

24.9986

21.4872

18.6646

16.3742

14.4982

12.9477

11.6546

10.5668

9.6442

8.1755

36

25.4888

21.8323

18.9083

16.5469

14.6210

13.0352

11.7172

10.6118

9.6765

8.1924

37

25.9695

22.1672

19.1426

16.7113

14.7368

13.1170

11.7752

10.6530

9.7059

8.2075

38

26.4406

22.4925

19.3679

16.8679

14.8460

13.1935

11.8289

10.6908

9.7327

8.2210

39

26.9026

22.8082

19.5845

17.0170

14.9491

13.2649

11.8786

10.7255

9.7570

8.2330

40

27.3555

23.1148

19.7928

17.1591

15.0463

13.3317

11.9246

10.7574

9.7791

8.2438

year

2%

3%

4%

5%

6%

7%

8%

9%

10%

12%

1

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

2

2.0200

2.0300

2.0400

2.0500

2.0600

2.0700

2.0800

2.0900

2.1000

2.1200

3

3.0604

3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1216

4.1836

4.2465

4.3101

4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5

5.2040

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847

6.1051

6.3528

6

6.3081

6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.4343

7.6625

7.8983

8.1420

8.3938

8.6540

8.9228

9.2004

9.4872

10.0890

8

8.5830

8.8923

9.2142

9.5491

9.8975

10.2598

10.6366

11.0285

11.4359

12.2997

9

9.7546

10.1591

10.5828

11.0266

11.4913

11.9780

12.4876

13.0210

13.5795

14.7757

10

10.9497

11.4639

12.0061

12.5779

13.1808

13.8164

14.4866

15.1929

15.9374

17.5487

11

12.1687

12.8078

13.4864

14.2068

14.9716

15.7836

16.6455

17.5603

18.5312

20.6546

12

13.4121

14.1920

15.0258

15.9171

16.8699

17.8885

18.9771

20.1407

21.3843

24.1331

13

14.6803

15.6178

16.6268

17.7130

18.8821

20.1406

21.4953

22.9534

24.5227

28.0291

14

15.9739

17.0863

18.2919

19.5986

21.0151

22.5505

24.2149

26.0192

27.9750

32.3926

15

17.2934

18.5989

20.0236

21.5786

23.2760

25.1290

27.1521

29.3609

31.7725

37.2797

16

18.6393

20.1569

21.8245

23.6575

25.6725

27.8881

30.3243

33.0034

35.9497

42.7533

17

20.0121

21.7616

23.6975

25.8404

28.2129

30.8402

33.7502

36.9737

40.5447

48.8837

18

21.4123

23.4144

25.6454

28.1324

30.9057

33.9990

37.4502

41.3013

45.5992

55.7497

19

22.8406

25.1169

27.6712

30.5390

33.7600

37.3790

41.4463

46.0185

51.1591

63.4397

20

24.2974

26.8704

29.7781

33.0660

36.7856

40.9955

45.7620

51.1601

57.2750

72.0524

21

25.7833

28.6765

31.9692

35.7193

39.9927

44.8652

50.4229

56.7645

64.0025

81.6987

22

27.2990

30.5368

34.2480

38.5052

43.3923

49.0057

55.4568

62.8733

71.4027

92.5026

23

28.8450

32.4529

36.6179

41.4305

46.9958

53.4361

60.8933

69.5319

79.5430

104.6029

24

30.4219

34.4265

39.0826

44.5020

50.8156

58.1767

66.7648

76.7898

88.4973

118.1552

25

32.0303

36.4593

41.6459

47.7271

54.8645

63.2490

73.1059

84.7009

98.3471

133.3339

26

33.6709

38.5530

44.3117

51.1135

59.1564

68.6765

79.9544

93.3240

109.1818

150.3339

27

35.3443

40.7096

47.0842

54.6691

63.7058

74.4838

87.3508

102.7231

121.0999

169.3740

28

37.0512

42.9309

49.9676

58.4026

68.5281

80.6977

95.3388

112.9682

134.2099

190.6989

29

38.7922

45.2189

52.9663

62.3227

73.6398

87.3465

103.9659

124.1354

148.6309

214.5828

30

40.5681

47.5754

56.0849

66.4388

79.0582

94.4608

113.2832

136.3075

164.4940

241.3327

31

42.3794

50.0027

59.3283

70.7608

84.8017

102.0730

123.3459

149.5752

181.9434

271.2926

32

44.2270

52.5028

62.7015

75.2988

90.8898

110.2182

134.2135

164.0370

201.1378

304.8477

33

46.1116

55.0778

66.2095

80.0638

97.3432

118.9334

145.9506

179.8003

222.2515

342.4294

34

48.0338

57.7302

69.8579

85.0670

104.1838

128.2588

158.6267

196.9823

245.4767

384.5210

35

49.9945

60.4621

73.6522

90.3203

111.4348

138.2369

172.3168

215.7108

271.0244

431.6635

36

51.9944

63.2759

77.5983

95.8363

119.1209

148.9135

187.1021

236.1247

299.1268

484.4631

37

54.0343

66.1742

81.7022

101.6281

127.2681

160.3374

203.0703

258.3759

330.0395

543.5987

38

56.1149

69.1594

85.9703

107.7095

135.9042

172.5610

220.3159

282.6298

364.0434

609.8305

39

58.2372

72.2342

90.4091

114.0950

145.0585

185.6403

238.9412

309.0665

401.4478

684.0102

40

60.4020

75.4013

95.0255

120.7998

154.7620

199.6351

259.0565

337.8824

442.5926

767.0914

year

2%

3%

4%

5%

6%

7%

8%

9%

10%

12%

1

1.0200

1.0300

1.0400

1.0500

1.0600

1.0700

1.0800

1.0900

1.1000

1.1200

2

2.0604

2.0909

2.1216

2.1525

2.1836

2.2149

2.2464

2.2781

2.3100

2.3744

3

3.1216

3.1836

3.2465

3.3101

3.3746

3.4399

3.5061

3.5731

3.6410

3.7793

4

4.2040

4.3091

4.4163

4.5256

4.6371

4.7507

4.8666

4.9847

5.1051

5.3528

5

5.3081

5.4684

5.6330

5.8019

5.9753

6.1533

6.3359

6.5233

6.7156

7.1152

6

6.4343

6.6625

6.8983

7.1420

7.3938

7.6540

7.9228

8.2004

8.4872

9.0890

7

7.5830

7.8923

8.2142

8.5491

8.8975

9.2598

9.6366

10.0285

10.4359

11.2997

8

8.7546

9.1591

9.5828

10.0266

10.4913

10.9780

11.4876

12.0210

12.5795

13.7757

9

9.9497

10.4639

11.0061

11.5779

12.1808

12.8164

13.4866

14.1929

14.9374

16.5487