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ABC Company intends to put $6,000 into its savings account every six months for the next four years. Assume the savings account earns 12% interest

ABC Company intends to put $6,000 into its savings account every six months for the next four years. Assume the savings account earns 12% interest compounded semi-annually. Calculate the amount that will be in the account at the end of the four years. Do not use decimals in your answer.

Use the time value of money factors posted on carmen to answer this question. To access these factors, click on content and then scroll to the bottom and click on the link labeled present & future value table factors. No credit will be awarded for this question using a means other than these table factors to answer this question. 

Future Value of a Lump-Sum

Rate of interest per period in percent

Periods

3%

4%

5%

6%

8%

9%

10%

12%

14%

16%

3

1.0927

1.1249

1.1576

1.1910

1.2597

1.2950

1.3310

1.4049

1.4815

1.5609

4

1.1255

1.1699

1.2155

1.2625

1.3605

1.4116

1.4641

1.5735

1.6890

1.8106

5

1.1593

1.2167

1.2783

1.3382

1.4693

1.5386

1.6105

1.7623

1.9254

2.1003

6

1.1941

1.2653

1.3401

1.4185

1.5869

1.6771

1.7716

1.9738

2.1950

2.4364

7

1.2299

1.3159

1.4071

1.5036

1.7138

1.8280

1.9487

2.2107

2.5023

2.8262

8

1.2668

1.3686

1.4775

1.5939

1.8510

1.9926

2.1436

2.4760

2.8526

3.2784

9

1.3048

1.4233

1.5513

1.6895

1.9990

2.1719

2.3580

2.7731

3.2519

3.8030

10

1.3439

1.4802

1.6289

1.7909

2.1589

2.3674

2.5938

3.1059

3.7072

4.4114

12

1.4258

1.6010

1.7959

2.0122

2.5182

2.8127

3.1384

3.8960

4.8179

5.9360

15

1.5580

1.8009

2.0789

2.3965

3.1722

3.6425

4.1773

5.4736

7.1379

9.2655

16

1.6047

1.8730

2.1829

2.5404

3.4259

3.9703

4.5950

6.1304

8.1372

10.7480

17

1.6529

1.9479

2.2920

2.6928

3.7000

4.3276

5.0545

6.8660

9.2765

12.4677

18

1.7024

2.0258

2.4066

2.8543

3.9960

4.7171

5.5599

7.6900

10.5752

14.4625

19

1.7535

2.1069

2.5270

3.0256

4.3157

5.1417

6.1159

8.6128

12.0557

16.7765

20

1.8061

2.1911

2.6533

3.2071

4.6610

5.6044

6.7275

9.6463

13.7435

19.4608

21

1.8603

2.2788

2.7860

3.3996

5.0338

6.1088

7.4003

10.8039

15.6676

22.5745

22

1.9161

2.3699

2.9253

3.6035

5.4365

6.6586

8.1403

12.1003

17.8610

26.1864

23

1.9736

2.4647

3.0715

3.8198

5.8715

7.2579

8.9543

13.5524

20.3616

30.3762

24

2.0325

2.5633

3.2251

4.0489

6.3412

7.9111

9.8497

15.1786

23.2122

35.2364

25

2.0938

2.6658

3.3864

4.2919

6.8485

8.6230

10.8347

17.0000

26.4619

40.8742

60

5.8916

10.5196

18.6792

32.9877

101.257

176.031

304.482

897.597

2595.92

7370.20

Present Value of a Lump-Sum

Rate of interest per period in percent

Periods

3%

5%

6%

8%

9%

10%

12%

14%

15%

20%

3

0.9151

0.8638

0.8396

0.7938

0.7722

0.7513

0.7118

0.6750

0.6575

0.5787

4

0.8885

0.8227

0.7921

0.7350

0.7084

0.6830

0.6355

0.5921

0.5718

0.4823

5

0.8626

0.7835

0.7473

0.6806

0.6499

0.6209

0.5674

0.5194

0.4972

0.4019

6

0.8375

0.7462

0.7050

0.6311

0.5963

0.5645

0.5066

0.4556

0.4323

0.3349

7

0.8131

0.7107

0.6651

0.5835

0.5470

0.5132

0.4523

0.3996

0.3759

0.2791

8

0.7894

0.6768

0.6274

0.5403

0.5019

0.4665

0.4039

0.3506

0.3269

0.2326

9

0.7664

0.6446

0.5919

0.5003

0.4604

0.4241

0.3606

0.3075

0.2843

0.1938

10

0.7441

0.6139

0.5584

0.4632

0.4224

0.3855

0.3220

0.2697

0.2472

0.1615

12

0.7014

0.5568

0.4970

0.3971

0.3555

0.3186

0.2567

0.2076

0.1869

0.1122

15

0.6419

0.4810

0.4173

0.3152

0.2745

0.2394

0.1827

0.1401

0.1229

0.0649

16

0.6232

0.4581

0.3937

0.2919

0.2519

0.2176

0.1631

0.1229

0.1069

0.0541

17

0.6050

0.4363

0.3714

0.2703

0.2311

0.1978

0.1456

0.1078

0.0929

0.0471

18

0.5874

0.4155

0.3503

0.2503

0.2120

0.1799

0.1300

0.0946

0.0808

0.0376

19

0.5703

0.3957

0.3305

0.2317

0.1945

0.1635

0.1161

0.0829

0.0703

0.0313

20

0.5537

0.3769

0.3118

0.2146

0.1784

0.1486

0.1037

0.0728

0.0611

0.0261

21

0.5375

0.3589

0.2942

0.1987

0.1637

0.1351

0.0926

0.0638

0.0531

0.0217

24

0.4920

0.3101

0.2470

0.1577

0.1264

0.1015

0.0659

0.0431

0.0349

0.0126

25

0.4776

0.2953

0.2330

0.1460

0.1160

0.0923

0.0588

0.0378

0.0304

0.0105

Future Value of an Annuity

Rate of interest per period in percent

Periods

3%

4%

5%

6%

8%

9%

10%

12%

14%

16%

3

3.0909

3.1216

3.1525

3.1836

3.2464

3.2781

3.3100

3.3744

3.4396

3.5056

4

4.1836

4.2465

4.3101

4.3746

4.5061

4.5731

4.6410

4.7793

4.9211

5.0665

5

5.3091

5.4163

5.5256

5.6371

5.8667

5.9847

6.1051

6.3529

6.6101

6.8771

6

6.4684

6.6330

6.8019

6.9753

7.3359

7.5233

7.7156

8.1152

8.5355

8.9775

7

7.6625

7.8983

8.1420

8.3938

8.9228

9.2004

9.4872

10.0890

10.7305

11.4139

8

8.8923

9.2142

9.5491

9.8975

10.6366

11.0285

11.4359

12.2997

13.2328

14.2401

9

10.1591

10.5828

11.0266

11.4913

12.4876

13.0210

13.5795

14.7757

16.0853

17.5185

10

11.4639

12.0061

12.5779

13.1808

14.4866

15.1929

15.9374

17.5487

19.3373

21.3215

12

14.1920

15.0258

15.9171

16.8699

18.9771

20.1407

21.3843

24.1331

27.2707

30.8502

15

18.5990

20.0236

21.5786

23.2760

27.1521

29.3609

31.7725

37.2797

43.8424

51.6595

16

20.1569

21.8245

23.6575

25.6725

30.3243

33.0034

35.9497

42.7533

50.9804

60.9250

17

21.7616

23.6975

25.8404

28.2129

33.7502

36.9737

40.5447

48.8837

59.1176

71.6730

18

23.4144

25.6454

28.1324

30.9057

37.4502

41.3013

45.5992

55.7497

68.3941

84.1407

19

25.1169

27.6712

30.5390

33.7560

41.4463

46.0185

51.1591

63.4397

78.9692

98.6032

20

26.8704

29.7781

33.0660

36.7856

45.7620

51.1601

57.2750

72.0524

91.0249

115.380

21

28.6765

31.9692

35.7193

39.9928

50.4229

56.7645

64.0025

81.6987

104.768

134.841

22

30.5368

34.2480

38.5052

43.3923

55.4568

62.8733

71.4028

92.5026

120.436

157.415

23

32.4529

36.6179

41.4305

46.9958

60.8933

69.5319

79.5430

104.603

138.297

183.601

24

34.4265

39.0826

44.5020

50.8156

66.7648

76.7898

88.4973

118.155

158.659

213.978

25

36.4593

41.6459

47.7271

54.8645

73.1059

84.7009

98.3471

133.333

181.871

249.214

60

163.053

237.991

353.584

533.128

1253.21

1944.79

3034.82

7471.64

18535.1

46057.5

Present Value of an Annuity

Rate of interest per period in percent

Periods

%

3%

5%

6%

8%

9%

10%

12%

15%

20%

3

2.9703

2.8286

2.7233

2.6730

2.5771

2.5313

2.4869

2.4018

2.2832

2.1065

4

3.9505

3.7171

3.5460

3.4651

3.3121

3.2397

3.1699

3.0374

2.8550

2.5887

5

4.9259

4.5797

4.3295

4.2124

3.9927

3.8897

3.7908

3.6048

3.3522

2.9906

6

5.8964

5.4172

5.0757

4.9173

4.6229

4.4859

4.3553

4.1114

3.7845

3.3255

7

6.8621

6.2303

5.7864

5.5824

5.2064

5.0330

4.8684

4.5638

4.1604

3.6046

8

7.8230

7.0197

6.4632

6.2098

5.7466

5.5348

5.3349

4.9676

4.4873

3.8372

9

8.7791

7.7861

7.1078

6.8017

6.2469

5.9953

5.7590

5.3283

4.7716

4.0310

10

9.7304

8.5302

7.7217

7.3601

6.7101

6.4177

6.1446

5.6502

5.0188

4.1925

12

11.6189

9.9540

8.8633

8.3838

7.5361

7.1607

6.8137

6.1944

5.4206

4.4392

15

14.4166

11.9379

10.3797

9.7123

8.5595

8.0607

7.6061

6.8109

5.8474

4.6755

16

15.3399

12.5611

10.8378

10.1059

8.8514

8.3126

7.8237

6.9740

5.9542

4.7296

17

16.2586

13.1661

11.2741

10.4773

9.1216

8.5436

8.0215

7.1196

6.0472

4.7746

18

17.1728

13.7535

11.6896

10.8276

9.3719

8.7556

8.2014

7.2497

6.1280

4.8122

19

18.0824

14.3238

12.0853

11.1581

9.6036

8.9501

8.3649

7.3658

6.1982

4.8435

20

18.9874

14.8775

12.4622

11.4699

9.8182

9.1286

8.5135

7.4694

6.2593

4.8696

21

19.8880

15.4150

12.8212

11.7641

10.0168

9.2922

8.6487

7.5620

6.3125

4.8913

25

23.4456

17.4132

14.0939

12.7834

10.6748

9.8226

9.0770

7.8431

6.4641

4.9476

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