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Find the effective interest rate for a loan for 4 years compounded semiannually at an annual rate of 5%. Future value or compound amount of

Find the effective interest rate for a loan for 4 years compounded semiannually at an annual rate of 5%.

Future value or compound amount of $1.00

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Rate per period

Periods

0.50%

1.00%

1.50%

2.00%

2.50%

3.00%

3.50%

4.00%

4.50%

5.00%

5.50%

1

1.00500

1.01000

1.01500

1.02000

1.02500

1.03000

1.03500

1.04000

1.04500

1.05000

1.05500

2

1.01003

1.02010

1.03023

1.04040

1.05063

1.06090

1.07123

1.08160

1.09203

1.10250

1.11303

3

1.01508

1.03030

1.04568

1.06121

1.07689

1.09273

1.10872

1.12486

1.14117

1.15763

1.17424

4

1.02015

1.04060

1.06136

1.08243

1.10381

1.12551

1.14752

1.16986

1.19252

1.21551

1.23882

5

1.02525

1.05101

1.07728

1.10408

1.13141

1.15927

1.18769

1.21665

1.24618

1.27628

1.30696

6

1.03038

1.06152

1.09344

1.12616

1.15969

1.19405

1.22926

1.26532

1.30226

1.34010

1.37884

7

1.03553

1.07214

1.10984

1.14869

1.18869

1.22987

1.27228

1.31593

1.36086

1.40710

1.45468

8

1.04071

1.08286

1.12649

1.17166

1.21840

1.26677

1.31681

1.36857

1.42210

1.47746

1.53469

9

1.04591

1.09369

1.14339

1.19509

1.24886

1.30477

1.36290

1.42331

1.48610

1.55133

1.61909

10

1.05114

1.10462

1.16054

1.21899

1.28008

1.34392

1.41060

1.48024

1.55297

1.62889

1.70814

11

1.05640

1.11567

1.17795

1.24337

1.31209

1.38423

1.45997

1.53945

1.62285

1.71034

1.80209

12

1.06168

1.12683

1.19562

1.26824

1.34489

1.42576

1.51107

1.60103

1.69588

1.79586

1.90121

13

1.06699

1.13809

1.21355

1.29361

1.37851

1.46853

1.56396

1.66507

1.77220

1.88565

2.00577

14

1.07232

1.14947

1.23176

1.31948

1.41297

1.51259

1.61869

1.73168

1.85194

1.97993

2.11609

15

1.07768

1.16097

1.25023

1.34587

1.44830

1.55797

1.67535

1.80094

1.93528

2.07893

2.23248

16

1.08307

1.17258

1.26899

1.37279

1.48451

1.60471

1.73399

1.87298

2.02237

2.18287

2.35526

17

1.08849

1.18430

1.28802

1.40024

1.52162

1.65285

1.79468

1.94790

2.11338

2.29202

2.48480

18

1.09393

1.19615

1.30734

1.42825

1.55966

1.70243

1.85749

2.02582

2.20848

2.40662

2.62147

19

1.09940

1.20811

1.32695

1.45681

1.59865

1.75351

1.92250

2.10685

2.30786

2.52695

2.76565

20

1.10490

1.22019

1.34686

1.48595

1.63862

1.80611

1.98979

2.19112

2.41171

2.65330

2.91776

21

1.11042

1.23239

1.36706

1.51567

1.67958

1.86029

2.05943

2.27877

2.52024

2.78596

3.07823

22

1.11597

1.24472

1.38756

1.54598

1.72157

1.91610

2.13151

2.36992

2.63365

2.92526

3.24754

23

1.12155

1.25716

1.40838

1.57690

1.76461

1.97359

2.20611

2.46472

2.75217

3.07152

3.42615

24

1.12716

1.26973

1.42950

1.60844

1.80873

2.03279

2.28333

2.56330

2.87601

3.22510

3.61459

25

1.13280

1.28243

1.45095

1.64061

1.85394

2.09378

2.36324

2.66584

3.00543

3.38635

3.81339

26

1.13846

1.29526

1.47271

1.67342

1.90029

2.15659

2.44596

2.77247

3.14068

3.55567

4.02313

27

1.14415

1.30821

1.49480

1.70689

1.94780

2.22129

2.53157

2.88337

3.28201

3.73346

4.24440

28

1.14987

1.32129

1.51722

1.74102

1.99650

2.28793

2.62017

2.99870

3.42970

3.92013

4.47784

29

1.15562

1.33450

1.53998

1.77584

2.04641

2.35657

2.71188

3.11865

3.58404

4.11614

4.72412

30

1.16140

1.34785

1.56308

1.81136

2.09757

2.42726

2.80679

3.24340

3.74532

4.32194

4.98395

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