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TEST BANK FINANCIAL AND MANAGERIAL ACCOUNTING 6TH EDITION WILD TBAppB

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Appendix B
Time Value of Money
True / False Questions

AppB-1
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


1. Present Value of 1
Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

3



0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118

4

0.8885

0.8548

0.8227

0.7921

0.7629


0.7350

0.7084

0.6830

0.6355

5

0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674

6


0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066

7

0.8131

0.7599

0.7107

0.6651

0.6227


0.5835

0.5470

0.5132

0.4523

8

0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039

9


0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606

10

0.7441

0.6756

0.6139

0.5584

0.5083


0.4632

0.4224

0.3855

0.3220

10%

12%

Future Value of 1

Periods

3%

4%

5%

6%

7%

8%

9%


3

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310

1.4049

4

1.1255

1.1699

1.2155

1.2625


1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105

1.7623


6

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716

1.9738

7

1.2299

1.3159

1.4071

1.5036


1.6058

1.7138

1.8280

1.9487

2.2107

8

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436

2.4760


9

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579

2.7731

10

1.3439

1.4802

1.6289

1.7908


1.9672

2.1589

2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%

2.7751

4%

2.7232


5%

2.6730

6%

2.6243

7%

2.5771

8%

2.5313

9%

2.4869

2.4018

4

3.7171

3.6299

3.5460


3.4651

3.3872

3.3121

3.2397

3.1699

3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908


3.6048

6

5.4172

5.2421

5.0757

4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021

5.7864


5.5824

5.3893

5.2064

5.0330

4.8684

4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349


4.9676

9

7.7861

7.4353

7.1078

6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109

7.7217


7.3601

7.0236

6.7101

6.4177

6.1446

5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%

4%

5%


9%

3

3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1836

4.2465

4.3101


4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847

6.1051


6.3528

6

6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.6625

7.8983

8.1420


8.3938

8.6540

8.9228

9.2004

9.4872

10.089

AppB-2
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975

10.260


10.637

11.029

11.436

12.300

9

10.159

10.583

11.027

11.491

11.978

12.488

13.021

13.580

14.776

10


11.464

12.006

12.578

13.181

13.816

14.487

15.193

15.937

17.549

Interest is the borrower's payment to the owner of an asset for its use.
True

False

AppB-3
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


2. Present Value of 1
Periods


3%

4%

5%

6%

7%

8%

9%

10%

12%

3

0.9151

0.8890

0.8638

0.8396

0.8163


0.7938

0.7722

0.7513

0.7118

4

0.8885

0.8548

0.8227

0.7921

0.7629

0.7350

0.7084

0.6830

0.6355

5


0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674

6

0.8375

0.7903

0.7462

0.7050

0.6663


0.6302

0.5963

0.5645

0.5066

7

0.8131

0.7599

0.7107

0.6651

0.6227

0.5835

0.5470

0.5132

0.4523

8


0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039

9

0.7664

0.7026

0.6446

0.5919

0.5439


0.5002

0.4604

0.4241

0.3606

10

0.7441

0.6756

0.6139

0.5584

0.5083

0.4632

0.4224

0.3855

0.3220

10%


12%

Future Value of 1

Periods

3%

4%

5%

6%

7%

8%

9%

3

1.0927

1.1249

1.1576

1.1910


1.2250

1.2597

1.2950

1.3310

1.4049

4

1.1255

1.1699

1.2155

1.2625

1.3108

1.3605

1.4116

1.4641

1.5735


5

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105

1.7623

6

1.1941

1.2653

1.3401

1.4185


1.5007

1.5869

1.6771

1.7716

1.9738

7

1.2299

1.3159

1.4071

1.5036

1.6058

1.7138

1.8280

1.9487

2.2107


8

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436

2.4760

9

1.3048

1.4233

1.5513

1.6895


1.8385

1.9990

2.1719

2.3579

2.7731

10

1.3439

1.4802

1.6289

1.7908

1.9672

2.1589

2.3674

2.5937

3.1058


Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%

2.7751

4%

2.7232

5%

2.6730

6%

2.6243

7%


2.5771

8%

2.5313

9%

2.4869

2.4018

4

3.7171

3.6299

3.5460

3.4651

3.3872

3.3121

3.2397

3.1699


3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908

3.6048

6

5.4172

5.2421

5.0757


4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021

5.7864

5.5824

5.3893

5.2064

5.0330

4.8684


4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349

4.9676

9

7.7861

7.4353

7.1078


6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109

7.7217

7.3601

7.0236

6.7101

6.4177

6.1446


5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%

4%

5%

9%

3

3.0909

3.1216

3.1525


3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1836

4.2465

4.3101

4.3746

4.4399

4.5061

4.5731

4.6410


4.7793

5

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847

6.1051

6.3528

6

6.4684

6.6330

6.8019


6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.6625

7.8983

8.1420

8.3938

8.6540

8.9228

9.2004

9.4872


10.089

AppB-4
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975

10.260

10.637

11.029

11.436

12.300

9


10.159

10.583

11.027

11.491

11.978

12.488

13.021

13.580

14.776

10

11.464

12.006

12.578

13.181

13.816


14.487

15.193

15.937

17.549

From the perspective of an account holder, a savings account is a liability with
interest.
True

False

AppB-5
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


3. Present Value of 1
Periods

3%

4%

5%

6%


7%

8%

9%

10%

12%

3

0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118


4

0.8885

0.8548

0.8227

0.7921

0.7629

0.7350

0.7084

0.6830

0.6355

5

0.8626

0.8219

0.7835

0.7473


0.7130

0.6806

0.6499

0.6209

0.5674

6

0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066


7

0.8131

0.7599

0.7107

0.6651

0.6227

0.5835

0.5470

0.5132

0.4523

8

0.7894

0.7307

0.6768

0.6274


0.5820

0.5403

0.5019

0.4665

0.4039

9

0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606


10

0.7441

0.6756

0.6139

0.5584

0.5083

0.4632

0.4224

0.3855

0.3220

10%

12%

Future Value of 1

Periods

3%


4%

5%

6%

7%

8%

9%

3

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310


1.4049

4

1.1255

1.1699

1.2155

1.2625

1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1593

1.2167

1.2763


1.3382

1.4026

1.4693

1.5386

1.6105

1.7623

6

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716


1.9738

7

1.2299

1.3159

1.4071

1.5036

1.6058

1.7138

1.8280

1.9487

2.2107

8

1.2668

1.3686

1.4775


1.5938

1.7182

1.8509

1.9926

2.1436

2.4760

9

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579


2.7731

10

1.3439

1.4802

1.6289

1.7908

1.9672

2.1589

2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods

10%

12%

3


2.8286

3%

2.7751

4%

2.7232

5%

2.6730

6%

2.6243

7%

2.5771

8%

2.5313

9%

2.4869


2.4018

4

3.7171

3.6299

3.5460

3.4651

3.3872

3.3121

3.2397

3.1699

3.0373

5

4.5797

4.4518

4.3295


4.2124

4.1002

3.9927

3.8897

3.7908

3.6048

6

5.4172

5.2421

5.0757

4.9173

4.7665

4.6229

4.4859

4.3553


4.1114

7

6.2303

6.0021

5.7864

5.5824

5.3893

5.2064

5.0330

4.8684

4.5638

8

7.0197

6.7327

6.4632


6.2098

5.9713

5.7466

5.5348

5.3349

4.9676

9

7.7861

7.4353

7.1078

6.8017

6.5152

6.2469

5.9952

5.7950


5.3282

10

8.5302

8.1109

7.7217

7.3601

7.0236

6.7101

6.4177

6.1446

5.6502

6%

7%

8%

10%


12%

Future Value of an Annuity of 1
Periods

3%

4%

5%

9%

3

3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781


3.3100

3.3744

4

4.1836

4.2465

4.3101

4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5

5.3091

5.4163


5.5256

5.6371

5.7507

5.8666

5.9847

6.1051

6.3528

6

6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233


7.7156

8.1152

7

7.6625

7.8983

8.1420

8.3938

8.6540

8.9228

9.2004

9.4872

10.089

AppB-6
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8


8.8923

9.2142

9.5491

9.8975

10.260

10.637

11.029

11.436

12.300

9

10.159

10.583

11.027

11.491

11.978


12.488

13.021

13.580

14.776

10

11.464

12.006

12.578

13.181

13.816

14.487

15.193

15.937

17.549

An interest rate is also called a discount rate.

True

False

AppB-7
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


4. Present Value of 1
Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%


3

0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118

4

0.8885

0.8548

0.8227

0.7921


0.7629

0.7350

0.7084

0.6830

0.6355

5

0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674


6

0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066

7

0.8131

0.7599

0.7107

0.6651


0.6227

0.5835

0.5470

0.5132

0.4523

8

0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039


9

0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606

10

0.7441

0.6756

0.6139

0.5584


0.5083

0.4632

0.4224

0.3855

0.3220

10%

12%

Future Value of 1

Periods

3%

4%

5%

6%

7%

8%


9%

3

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310

1.4049

4

1.1255

1.1699

1.2155


1.2625

1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105


1.7623

6

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716

1.9738

7

1.2299

1.3159

1.4071


1.5036

1.6058

1.7138

1.8280

1.9487

2.2107

8

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436


2.4760

9

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579

2.7731

10

1.3439

1.4802

1.6289


1.7908

1.9672

2.1589

2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%

2.7751

4%

2.7232


5%

2.6730

6%

2.6243

7%

2.5771

8%

2.5313

9%

2.4869

2.4018

4

3.7171

3.6299

3.5460


3.4651

3.3872

3.3121

3.2397

3.1699

3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908


3.6048

6

5.4172

5.2421

5.0757

4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021

5.7864


5.5824

5.3893

5.2064

5.0330

4.8684

4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349


4.9676

9

7.7861

7.4353

7.1078

6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109

7.7217


7.3601

7.0236

6.7101

6.4177

6.1446

5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%

4%


5%

9%

3

3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1836

4.2465


4.3101

4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847


6.1051

6.3528

6

6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.6625

7.8983


8.1420

8.3938

8.6540

8.9228

9.2004

9.4872

10.089

AppB-8
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975

10.260


10.637

11.029

11.436

12.300

9

10.159

10.583

11.027

11.491

11.978

12.488

13.021

13.580

14.776

10


11.464

12.006

12.578

13.181

13.816

14.487

15.193

15.937

17.549

Present and future value computations enable companies to measure or estimate the
interest component of holding assets or liabilities over time.
True

False

AppB-9
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.



5. Present Value of 1
Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

3

0.9151

0.8890

0.8638

0.8396


0.8163

0.7938

0.7722

0.7513

0.7118

4

0.8885

0.8548

0.8227

0.7921

0.7629

0.7350

0.7084

0.6830

0.6355


5

0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674

6

0.8375

0.7903

0.7462

0.7050


0.6663

0.6302

0.5963

0.5645

0.5066

7

0.8131

0.7599

0.7107

0.6651

0.6227

0.5835

0.5470

0.5132

0.4523


8

0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039

9

0.7664

0.7026

0.6446

0.5919


0.5439

0.5002

0.4604

0.4241

0.3606

10

0.7441

0.6756

0.6139

0.5584

0.5083

0.4632

0.4224

0.3855

0.3220


10%

12%

Future Value of 1

Periods

3%

4%

5%

6%

7%

8%

9%

3

1.0927

1.1249

1.1576


1.1910

1.2250

1.2597

1.2950

1.3310

1.4049

4

1.1255

1.1699

1.2155

1.2625

1.3108

1.3605

1.4116

1.4641


1.5735

5

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105

1.7623

6

1.1941

1.2653

1.3401


1.4185

1.5007

1.5869

1.6771

1.7716

1.9738

7

1.2299

1.3159

1.4071

1.5036

1.6058

1.7138

1.8280

1.9487


2.2107

8

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436

2.4760

9

1.3048

1.4233

1.5513


1.6895

1.8385

1.9990

2.1719

2.3579

2.7731

10

1.3439

1.4802

1.6289

1.7908

1.9672

2.1589

2.3674

2.5937


3.1058

Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%

2.7751

4%

2.7232

5%

2.6730

6%

2.6243


7%

2.5771

8%

2.5313

9%

2.4869

2.4018

4

3.7171

3.6299

3.5460

3.4651

3.3872

3.3121

3.2397


3.1699

3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908

3.6048

6

5.4172

5.2421


5.0757

4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021

5.7864

5.5824

5.3893

5.2064

5.0330


4.8684

4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349

4.9676

9

7.7861

7.4353


7.1078

6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109

7.7217

7.3601

7.0236

6.7101

6.4177


6.1446

5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%

4%

5%

9%

3

3.0909

3.1216


3.1525

3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1836

4.2465

4.3101

4.3746

4.4399

4.5061

4.5731


4.6410

4.7793

5

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847

6.1051

6.3528

6

6.4684

6.6330


6.8019

6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.6625

7.8983

8.1420

8.3938

8.6540

8.9228

9.2004


9.4872

10.089

AppB-10
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975

10.260

10.637

11.029

11.436

12.300


9

10.159

10.583

11.027

11.491

11.978

12.488

13.021

13.580

14.776

10

11.464

12.006

12.578

13.181


13.816

14.487

15.193

15.937

17.549

The number of periods in a present value calculation may only be expressed in years.
True

False

AppB-11
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


6. Present Value of 1
Periods

3%

4%

5%

6%


7%

8%

9%

10%

12%

3

0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118


4

0.8885

0.8548

0.8227

0.7921

0.7629

0.7350

0.7084

0.6830

0.6355

5

0.8626

0.8219

0.7835

0.7473


0.7130

0.6806

0.6499

0.6209

0.5674

6

0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066


7

0.8131

0.7599

0.7107

0.6651

0.6227

0.5835

0.5470

0.5132

0.4523

8

0.7894

0.7307

0.6768

0.6274


0.5820

0.5403

0.5019

0.4665

0.4039

9

0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606


10

0.7441

0.6756

0.6139

0.5584

0.5083

0.4632

0.4224

0.3855

0.3220

10%

12%

Future Value of 1

Periods

3%


4%

5%

6%

7%

8%

9%

3

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310


1.4049

4

1.1255

1.1699

1.2155

1.2625

1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1593

1.2167

1.2763


1.3382

1.4026

1.4693

1.5386

1.6105

1.7623

6

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716


1.9738

7

1.2299

1.3159

1.4071

1.5036

1.6058

1.7138

1.8280

1.9487

2.2107

8

1.2668

1.3686

1.4775


1.5938

1.7182

1.8509

1.9926

2.1436

2.4760

9

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579


2.7731

10

1.3439

1.4802

1.6289

1.7908

1.9672

2.1589

2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods

10%

12%


3

2.8286

3%

2.7751

4%

2.7232

5%

2.6730

6%

2.6243

7%

2.5771

8%

2.5313

9%


2.4869

2.4018

4

3.7171

3.6299

3.5460

3.4651

3.3872

3.3121

3.2397

3.1699

3.0373

5

4.5797

4.4518


4.3295

4.2124

4.1002

3.9927

3.8897

3.7908

3.6048

6

5.4172

5.2421

5.0757

4.9173

4.7665

4.6229

4.4859


4.3553

4.1114

7

6.2303

6.0021

5.7864

5.5824

5.3893

5.2064

5.0330

4.8684

4.5638

8

7.0197

6.7327


6.4632

6.2098

5.9713

5.7466

5.5348

5.3349

4.9676

9

7.7861

7.4353

7.1078

6.8017

6.5152

6.2469

5.9952


5.7950

5.3282

10

8.5302

8.1109

7.7217

7.3601

7.0236

6.7101

6.4177

6.1446

5.6502

6%

7%

8%


10%

12%

Future Value of an Annuity of 1
Periods

3%

4%

5%

9%

3

3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781


3.3100

3.3744

4

4.1836

4.2465

4.3101

4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5

5.3091

5.4163


5.5256

5.6371

5.7507

5.8666

5.9847

6.1051

6.3528

6

6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233


7.7156

8.1152

7

7.6625

7.8983

8.1420

8.3938

8.6540

8.9228

9.2004

9.4872

10.089

AppB-12
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.



8

8.8923

9.2142

9.5491

9.8975

10.260

10.637

11.029

11.436

12.300

9

10.159

10.583

11.027

11.491


11.978

12.488

13.021

13.580

14.776

10

11.464

12.006

12.578

13.181

13.816

14.487

15.193

15.937

17.549


The present value factor for determining the present value of $6,300 to be received
three years from today at 10% interest compounded semiannually is 0.7462.
True

False

AppB-13
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


7. Present Value of 1
Periods

3%

4%

5%

6%

7%

8%

9%

10%


12%

3

0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118

4

0.8885

0.8548

0.8227


0.7921

0.7629

0.7350

0.7084

0.6830

0.6355

5

0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209


0.5674

6

0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066

7

0.8131

0.7599

0.7107


0.6651

0.6227

0.5835

0.5470

0.5132

0.4523

8

0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665


0.4039

9

0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606

10

0.7441

0.6756

0.6139


0.5584

0.5083

0.4632

0.4224

0.3855

0.3220

10%

12%

Future Value of 1

Periods

3%

4%

5%

6%

7%


8%

9%

3

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310

1.4049

4

1.1255

1.1699


1.2155

1.2625

1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386


1.6105

1.7623

6

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716

1.9738

7

1.2299

1.3159


1.4071

1.5036

1.6058

1.7138

1.8280

1.9487

2.2107

8

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926


2.1436

2.4760

9

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579

2.7731

10

1.3439

1.4802


1.6289

1.7908

1.9672

2.1589

2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%

2.7751

4%


2.7232

5%

2.6730

6%

2.6243

7%

2.5771

8%

2.5313

9%

2.4869

2.4018

4

3.7171

3.6299


3.5460

3.4651

3.3872

3.3121

3.2397

3.1699

3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897


3.7908

3.6048

6

5.4172

5.2421

5.0757

4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021


5.7864

5.5824

5.3893

5.2064

5.0330

4.8684

4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348


5.3349

4.9676

9

7.7861

7.4353

7.1078

6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109


7.7217

7.3601

7.0236

6.7101

6.4177

6.1446

5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%


4%

5%

9%

3

3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1836


4.2465

4.3101

4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666


5.9847

6.1051

6.3528

6

6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.6625


7.8983

8.1420

8.3938

8.6540

8.9228

9.2004

9.4872

10.089

AppB-14
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975


10.260

10.637

11.029

11.436

12.300

9

10.159

10.583

11.027

11.491

11.978

12.488

13.021

13.580

14.776


10

11.464

12.006

12.578

13.181

13.816

14.487

15.193

15.937

17.549

The present value of 1 formula is often useful when a borrowed asset must be repaid
in full at a later date and the borrower wants to know the worth of the asset at the
future date.
True

False

AppB-15
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of

McGraw-Hill Education.


8. Present Value of 1
Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

3

0.9151

0.8890


0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118

4

0.8885

0.8548

0.8227

0.7921

0.7629

0.7350

0.7084


0.6830

0.6355

5

0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674

6

0.8375

0.7903


0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066

7

0.8131

0.7599

0.7107

0.6651

0.6227

0.5835

0.5470


0.5132

0.4523

8

0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039

9

0.7664

0.7026


0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606

10

0.7441

0.6756

0.6139

0.5584

0.5083

0.4632

0.4224


0.3855

0.3220

10%

12%

Future Value of 1

Periods

3%

4%

5%

6%

7%

8%

9%

3

1.0927


1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310

1.4049

4

1.1255

1.1699

1.2155

1.2625

1.3108

1.3605


1.4116

1.4641

1.5735

5

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105

1.7623

6

1.1941


1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716

1.9738

7

1.2299

1.3159

1.4071

1.5036

1.6058

1.7138


1.8280

1.9487

2.2107

8

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436

2.4760

9

1.3048


1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579

2.7731

10

1.3439

1.4802

1.6289

1.7908

1.9672

2.1589


2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%

2.7751

4%

2.7232

5%

2.6730

6%


2.6243

7%

2.5771

8%

2.5313

9%

2.4869

2.4018

4

3.7171

3.6299

3.5460

3.4651

3.3872

3.3121


3.2397

3.1699

3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908

3.6048

6

5.4172


5.2421

5.0757

4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021

5.7864

5.5824

5.3893

5.2064


5.0330

4.8684

4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349

4.9676

9

7.7861


7.4353

7.1078

6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109

7.7217

7.3601

7.0236

6.7101


6.4177

6.1446

5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%

4%

5%

9%

3


3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1836

4.2465

4.3101

4.3746

4.4399


4.5061

4.5731

4.6410

4.7793

5

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847

6.1051

6.3528

6


6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.6625

7.8983

8.1420

8.3938

8.6540


8.9228

9.2004

9.4872

10.089

AppB-16
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975

10.260

10.637

11.029

11.436


12.300

9

10.159

10.583

11.027

11.491

11.978

12.488

13.021

13.580

14.776

10

11.464

12.006

12.578


13.181

13.816

14.487

15.193

15.937

17.549

In a present value or future value table, the length of one time period may be
interpreted as one year, one month, or any other length of time.
True

False

AppB-17
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


9. Present Value of 1
Periods

3%

4%


5%

6%

7%

8%

9%

10%

12%

3

0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722


0.7513

0.7118

4

0.8885

0.8548

0.8227

0.7921

0.7629

0.7350

0.7084

0.6830

0.6355

5

0.8626

0.8219


0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674

6

0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963


0.5645

0.5066

7

0.8131

0.7599

0.7107

0.6651

0.6227

0.5835

0.5470

0.5132

0.4523

8

0.7894

0.7307


0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039

9

0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604


0.4241

0.3606

10

0.7441

0.6756

0.6139

0.5584

0.5083

0.4632

0.4224

0.3855

0.3220

10%

12%

Future Value of 1


Periods

3%

4%

5%

6%

7%

8%

9%

3

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597


1.2950

1.3310

1.4049

4

1.1255

1.1699

1.2155

1.2625

1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1593


1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105

1.7623

6

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869


1.6771

1.7716

1.9738

7

1.2299

1.3159

1.4071

1.5036

1.6058

1.7138

1.8280

1.9487

2.2107

8

1.2668


1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436

2.4760

9

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990


2.1719

2.3579

2.7731

10

1.3439

1.4802

1.6289

1.7908

1.9672

2.1589

2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods


10%

12%

3

2.8286

3%

2.7751

4%

2.7232

5%

2.6730

6%

2.6243

7%

2.5771

8%


2.5313

9%

2.4869

2.4018

4

3.7171

3.6299

3.5460

3.4651

3.3872

3.3121

3.2397

3.1699

3.0373

5


4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908

3.6048

6

5.4172

5.2421

5.0757

4.9173

4.7665


4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021

5.7864

5.5824

5.3893

5.2064

5.0330

4.8684

4.5638

8


7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349

4.9676

9

7.7861

7.4353

7.1078

6.8017

6.5152


6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109

7.7217

7.3601

7.0236

6.7101

6.4177

6.1446

5.6502

6%


7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%

4%

5%

9%

3

3.0909

3.1216

3.1525

3.1836

3.2149


3.2464

3.2781

3.3100

3.3744

4

4.1836

4.2465

4.3101

4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5


5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847

6.1051

6.3528

6

6.4684

6.6330

6.8019

6.9753

7.1533


7.3359

7.5233

7.7156

8.1152

7

7.6625

7.8983

8.1420

8.3938

8.6540

8.9228

9.2004

9.4872

10.089

AppB-18

Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975

10.260

10.637

11.029

11.436

12.300

9

10.159

10.583


11.027

11.491

11.978

12.488

13.021

13.580

14.776

10

11.464

12.006

12.578

13.181

13.816

14.487

15.193


15.937

17.549

The present value of $2,000 to be received nine years from today at 8% interest
compounded annually is $1,000.
True

False

AppB-19
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


10. Present Value of 1
Periods

3%

4%

5%

6%

7%

8%


9%

10%

12%

3

0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118

4

0.8885


0.8548

0.8227

0.7921

0.7629

0.7350

0.7084

0.6830

0.6355

5

0.8626

0.8219

0.7835

0.7473

0.7130

0.6806


0.6499

0.6209

0.5674

6

0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066

7

0.8131


0.7599

0.7107

0.6651

0.6227

0.5835

0.5470

0.5132

0.4523

8

0.7894

0.7307

0.6768

0.6274

0.5820

0.5403


0.5019

0.4665

0.4039

9

0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606

10

0.7441


0.6756

0.6139

0.5584

0.5083

0.4632

0.4224

0.3855

0.3220

10%

12%

Future Value of 1

Periods

3%

4%

5%


6%

7%

8%

9%

3

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310

1.4049

4


1.1255

1.1699

1.2155

1.2625

1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1593

1.2167

1.2763

1.3382

1.4026


1.4693

1.5386

1.6105

1.7623

6

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716

1.9738

7


1.2299

1.3159

1.4071

1.5036

1.6058

1.7138

1.8280

1.9487

2.2107

8

1.2668

1.3686

1.4775

1.5938

1.7182


1.8509

1.9926

2.1436

2.4760

9

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579

2.7731

10


1.3439

1.4802

1.6289

1.7908

1.9672

2.1589

2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%


2.7751

4%

2.7232

5%

2.6730

6%

2.6243

7%

2.5771

8%

2.5313

9%

2.4869

2.4018

4


3.7171

3.6299

3.5460

3.4651

3.3872

3.3121

3.2397

3.1699

3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002


3.9927

3.8897

3.7908

3.6048

6

5.4172

5.2421

5.0757

4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7


6.2303

6.0021

5.7864

5.5824

5.3893

5.2064

5.0330

4.8684

4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713


5.7466

5.5348

5.3349

4.9676

9

7.7861

7.4353

7.1078

6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10


8.5302

8.1109

7.7217

7.3601

7.0236

6.7101

6.4177

6.1446

5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1

Periods

3%

4%

5%

9%

3

3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781

3.3100

3.3744


4

4.1836

4.2465

4.3101

4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5

5.3091

5.4163

5.5256

5.6371


5.7507

5.8666

5.9847

6.1051

6.3528

6

6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233

7.7156

8.1152


7

7.6625

7.8983

8.1420

8.3938

8.6540

8.9228

9.2004

9.4872

10.089

AppB-20
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142


9.5491

9.8975

10.260

10.637

11.029

11.436

12.300

9

10.159

10.583

11.027

11.491

11.978

12.488

13.021


13.580

14.776

10

11.464

12.006

12.578

13.181

13.816

14.487

15.193

15.937

17.549

Sandra has a savings account that has accumulated to $50,000. She started with
$28,225, and earned interest at 10% compounded annually. It took her five years to
accumulate the $50,000.
True


False

AppB-21
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


11. Present Value of 1
Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

3


0.9151

0.8890

0.8638

0.8396

0.8163

0.7938

0.7722

0.7513

0.7118

4

0.8885

0.8548

0.8227

0.7921

0.7629


0.7350

0.7084

0.6830

0.6355

5

0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674

6


0.8375

0.7903

0.7462

0.7050

0.6663

0.6302

0.5963

0.5645

0.5066

7

0.8131

0.7599

0.7107

0.6651

0.6227


0.5835

0.5470

0.5132

0.4523

8

0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039

9


0.7664

0.7026

0.6446

0.5919

0.5439

0.5002

0.4604

0.4241

0.3606

10

0.7441

0.6756

0.6139

0.5584

0.5083


0.4632

0.4224

0.3855

0.3220

10%

12%

Future Value of 1

Periods

3%

4%

5%

6%

7%

8%

9%


3

1.0927

1.1249

1.1576

1.1910

1.2250

1.2597

1.2950

1.3310

1.4049

4

1.1255

1.1699

1.2155

1.2625


1.3108

1.3605

1.4116

1.4641

1.5735

5

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105

1.7623


6

1.1941

1.2653

1.3401

1.4185

1.5007

1.5869

1.6771

1.7716

1.9738

7

1.2299

1.3159

1.4071

1.5036


1.6058

1.7138

1.8280

1.9487

2.2107

8

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436

2.4760


9

1.3048

1.4233

1.5513

1.6895

1.8385

1.9990

2.1719

2.3579

2.7731

10

1.3439

1.4802

1.6289

1.7908


1.9672

2.1589

2.3674

2.5937

3.1058

Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%

2.7751

4%

2.7232

5%


2.6730

6%

2.6243

7%

2.5771

8%

2.5313

9%

2.4869

2.4018

4

3.7171

3.6299

3.5460

3.4651


3.3872

3.3121

3.2397

3.1699

3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908

3.6048


6

5.4172

5.2421

5.0757

4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021

5.7864

5.5824


5.3893

5.2064

5.0330

4.8684

4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349

4.9676


9

7.7861

7.4353

7.1078

6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109

7.7217

7.3601


7.0236

6.7101

6.4177

6.1446

5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%

4%

5%


9%

3

3.0909

3.1216

3.1525

3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1836

4.2465

4.3101


4.3746

4.4399

4.5061

4.5731

4.6410

4.7793

5

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847

6.1051


6.3528

6

6.4684

6.6330

6.8019

6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.6625

7.8983

8.1420


8.3938

8.6540

8.9228

9.2004

9.4872

10.089

AppB-22
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975

10.260

10.637


11.029

11.436

12.300

9

10.159

10.583

11.027

11.491

11.978

12.488

13.021

13.580

14.776

10

11.464


12.006

12.578

13.181

13.816

14.487

15.193

15.937

17.549

Future value can be found if the interest rate (i), the number of periods (n), and the
present value (p) are known.
True

False

AppB-23
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


12. Present Value of 1
Periods


3%

4%

5%

6%

7%

8%

9%

10%

12%

3

0.9151

0.8890

0.8638

0.8396

0.8163


0.7938

0.7722

0.7513

0.7118

4

0.8885

0.8548

0.8227

0.7921

0.7629

0.7350

0.7084

0.6830

0.6355

5


0.8626

0.8219

0.7835

0.7473

0.7130

0.6806

0.6499

0.6209

0.5674

6

0.8375

0.7903

0.7462

0.7050

0.6663


0.6302

0.5963

0.5645

0.5066

7

0.8131

0.7599

0.7107

0.6651

0.6227

0.5835

0.5470

0.5132

0.4523

8


0.7894

0.7307

0.6768

0.6274

0.5820

0.5403

0.5019

0.4665

0.4039

9

0.7664

0.7026

0.6446

0.5919

0.5439


0.5002

0.4604

0.4241

0.3606

10

0.7441

0.6756

0.6139

0.5584

0.5083

0.4632

0.4224

0.3855

0.3220

10%


12%

Future Value of 1

Periods

3%

4%

5%

6%

7%

8%

9%

3

1.0927

1.1249

1.1576

1.1910


1.2250

1.2597

1.2950

1.3310

1.4049

4

1.1255

1.1699

1.2155

1.2625

1.3108

1.3605

1.4116

1.4641

1.5735


5

1.1593

1.2167

1.2763

1.3382

1.4026

1.4693

1.5386

1.6105

1.7623

6

1.1941

1.2653

1.3401

1.4185


1.5007

1.5869

1.6771

1.7716

1.9738

7

1.2299

1.3159

1.4071

1.5036

1.6058

1.7138

1.8280

1.9487

2.2107


8

1.2668

1.3686

1.4775

1.5938

1.7182

1.8509

1.9926

2.1436

2.4760

9

1.3048

1.4233

1.5513

1.6895


1.8385

1.9990

2.1719

2.3579

2.7731

10

1.3439

1.4802

1.6289

1.7908

1.9672

2.1589

2.3674

2.5937

3.1058


Present Value of an Annuity of 1
Periods

10%

12%

3

2.8286

3%

2.7751

4%

2.7232

5%

2.6730

6%

2.6243

7%


2.5771

8%

2.5313

9%

2.4869

2.4018

4

3.7171

3.6299

3.5460

3.4651

3.3872

3.3121

3.2397

3.1699


3.0373

5

4.5797

4.4518

4.3295

4.2124

4.1002

3.9927

3.8897

3.7908

3.6048

6

5.4172

5.2421

5.0757


4.9173

4.7665

4.6229

4.4859

4.3553

4.1114

7

6.2303

6.0021

5.7864

5.5824

5.3893

5.2064

5.0330

4.8684


4.5638

8

7.0197

6.7327

6.4632

6.2098

5.9713

5.7466

5.5348

5.3349

4.9676

9

7.7861

7.4353

7.1078


6.8017

6.5152

6.2469

5.9952

5.7950

5.3282

10

8.5302

8.1109

7.7217

7.3601

7.0236

6.7101

6.4177

6.1446


5.6502

6%

7%

8%

10%

12%

Future Value of an Annuity of 1
Periods

3%

4%

5%

9%

3

3.0909

3.1216

3.1525


3.1836

3.2149

3.2464

3.2781

3.3100

3.3744

4

4.1836

4.2465

4.3101

4.3746

4.4399

4.5061

4.5731

4.6410


4.7793

5

5.3091

5.4163

5.5256

5.6371

5.7507

5.8666

5.9847

6.1051

6.3528

6

6.4684

6.6330

6.8019


6.9753

7.1533

7.3359

7.5233

7.7156

8.1152

7

7.6625

7.8983

8.1420

8.3938

8.6540

8.9228

9.2004

9.4872


10.089

AppB-24
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


8

8.8923

9.2142

9.5491

9.8975

10.260

10.637

11.029

11.436

12.300

9


10.159

10.583

11.027

11.491

11.978

12.488

13.021

13.580

14.776

10

11.464

12.006

12.578

13.181

13.816


14.487

15.193

15.937

17.549

The number of periods in a future value calculation may only be expressed in years.
True

False

AppB-25
Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of
McGraw-Hill Education.


×