Question : 61. Present Value of 1 Periods : 1236275

 

 

61.

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

Trey has $105,000 now. He has a loan of $175,000 that he must pay at the end of 5 years. He can invest his $105,000 at 10% interest compounded semiannually. Will Trey have enough to pay his loan at the end of the 5 years?    

 

 

 

 

62.

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

Garcia Brass Fixtures is planning on replacing one of its machines in five years by making a one-time deposit of $20,000 today and four yearly contributions of $5,000 beginning at the end of year 1. The deposits will earn 10% interest. How much money will Garcia have accumulated at the end of five years to replace the machine?    

 

 

 

 

63.

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 borrows money from the bank by promising to make 6 annual year-end payments of $27,000 each. How much is the company able to borrow if the interest rate is 9%?    

 

 

 

 

64.

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 borrows money from the bank by promising to make 8 semiannual payments of $9,000 each. How much is the company able to borrow if the interest rate is 10% compounded semiannually?    

 

 

 

 

65.

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

When you reach retirement age, you will have one fund of $100,000 from which you are going to make annual withdrawals of $14,702. The fund will earn 6% per year. For how many years will you be able to draw an even amount of $14,702?