Question : Essay Questions 51. Present Value of 1 Periods : 1236273

 

Essay Questions 

51.

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

Future Value of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

3%

4%

5%

6%

7%

8%

9%

10%

12%

3

2.8286

2.7751

2.7232

2.6730

2.6243

2.5771

2.5313

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

 Future Value of an Annuity of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

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

A company needs to have $200,000 in 4 years, and will create a fund to insure that the $200,000 will be available. If it can earn a 7% return compounded annually, how much must the company invest in the fund today to equal the $200,000 at the end of 4 years?    

 

 

 

 

52.

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

Future Value of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

3%

4%

5%

6%

7%

8%

9%

10%

12%

3

2.8286

2.7751

2.7232

2.6730

2.6243

2.5771

2.5313

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

 Future Value of an Annuity of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

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

A company needs to have $150,000 in 5 years, and will create a fund to insure that the $150,000 will be available. If it can earn a 6% return compounded annually, how much must the company invest in the fund today to equal the $150,000 at the end of 5 years?    

 

 

 

 

53.

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

Future Value of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

3%

4%

5%

6%

7%

8%

9%

10%

12%

3

2.8286

2.7751

2.7232

2.6730

2.6243

2.5771

2.5313

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

 Future Value of an Annuity of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

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

Kelsey has a loan that requires a $25,000 lump sum payment at the end of three years. The interest rate on the loan is 5%, compounded annually. How much did Kelsey borrow today?    

 

 

 

 

54.

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

Future Value of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

3%

4%

5%

6%

7%

8%

9%

10%

12%

3

2.8286

2.7751

2.7232

2.6730

2.6243

2.5771

2.5313

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

 Future Value of an Annuity of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

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

Jackson has a loan that requires a $17,000 lump sum payment at the end of four years. The interest rate on the loan is 5%, compounded annually. How much did Jackson borrow today?    

 

 

 

 

55.

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

Future Value of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

3%

4%

5%

6%

7%

8%

9%

10%

12%

3

2.8286

2.7751

2.7232

2.6730

2.6243

2.5771

2.5313

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

 Future Value of an Annuity of 1 

Periods

3%

4%

5%

6%

7%

8%

9%

10%

12%

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

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

Mason Company has acquired a machine from a dealer that requires a payment of $45,000 at the end of five years. This transaction includes interest at 8%, compounded semiannually. What is the value of the machine today?