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Brooks Clinic is considering investing in new heart-monitoring equipment. It has two options. Option A would have an initial lower cost but would require a

Brooks Clinic is considering investing in new heart-monitoring equipment. It has two options. Option A would have an initial lower cost but would require a significant expenditure for rebuilding after 4 years. Option B would require no rebuilding expenditure, but its maintenance costs would be higher. Since the Option B machine is of initial higher quality, it is expected to have a salvage value at the end of its useful life. The following estimates were made of the cash flows. The companys cost of capital is 5%.

Option A Option B
Initial cost $183,000 $281,000
Annual cash inflows $70,000 $80,000
Annual cash outflows $28,000 $25,000
Cost to rebuild (end of year 4) $48,000 $0
Salvage value $0 $7,000
Estimated useful life 7 years 7 years

Compute the (1) net present value, (2) profitability index, and (3) internal rate of return for each option. (Hint: To solve for internal rate of return, experiment with alternative discount rates to arrive at a net present value of zero.) (If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). Round answers for present value and IRR to 0 decimal places, e.g. 125 and round profitability index to 2 decimal places, e.g. 12.50. For calculation purposes, use 5 decimal places as displayed in the factor table provided.)

Future Value of 1 Table (FV of 1 Table) FV Factors for a Single Amount of 1.000 (rounded to three decimal places). Note: This table begins with the row n = 0, which is different from most future value of 1 tables.

i=1%

i=2%

i=3%

i=4%

i=5%

i=6%

i=8%

i=10%

i=12%

n = 0

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

n = 1

1.010

1.020

1.030

1.040

1.050

1.060

1.080

1.100

1.120

n = 2

1.020

1.040

1.061

1.082

1.103

1.124

1.166

1.210

1.254

n = 3

1.030

1.061

1.093

1.125

1.158

1.191

1.260

1.331

1.405

n = 4

1.041

1.082

1.126

1.170

1.216

1.262

1.360

1.464

1.574

n = 5

1.051

1.104

1.159

1.217

1.276

1.338

1.469

1.611

1.762

n = 6

1.062

1.126

1.194

1.265

1.340

1.419

1.587

1.772

1.974

n = 7

1.072

1.149

1.230

1.316

1.407

1.504

1.714

1.949

2.211

n = 8

1.083

1.172

1.267

1.369

1.477

1.594

1.851

2.144

2.476

n = 9

1.094

1.195

1.305

1.423

1.551

1.689

1.999

2.358

2.773

n = 10

1.105

1.219

1.344

1.480

1.629

1.791

2.159

2.594

3.106

n = 11

1.116

1.243

1.384

1.539

1.710

1.898

2.332

2.853

3.479

n = 12

1.127

1.268

1.426

1.601

1.796

2.012

2.518

3.138

3.896

n = 13

1.138

1.294

1.469

1.665

1.886

2.133

2.720

3.452

4.363

n = 14

1.149

1.319

1.513

1.732

1.980

2.261

2.937

3.797

4.887

n = 15

1.161

1.346

1.558

1.801

2.079

2.397

3.172

4.177

5.474

n = 16

1.173

1.373

1.605

1.873

2.183

2.540

3.426

4.595

6.130

n = 17

1.184

1.400

1.653

1.948

2.292

2.693

3.700

5.054

6.866

n = 18

1.196

1.428

1.702

2.026

2.407

2.854

3.996

5.560

7.690

n = 19

1.208

1.457

1.754

2.107

2.527

3.026

4.316

6.116

8.613

n = 20

1.220

1.486

1.806

2.191

2.653

3.207

4.661

6.727

9.646

n = 21

1.232

1.516

1.860

2.279

2.786

3.400

5.034

7.400

10.804

n = 22

1.245

1.546

1.916

2.370

2.925

3.604

5.437

8.140

12.100

n = 23

1.257

1.577

1.974

2.465

3.072

3.820

5.871

8.954

13.552

n = 24

1.270

1.608

2.033

2.563

3.225

4.049

6.341

9.850

15.179

n = 25

1.282

1.641

2.094

2.666

3.386

4.292

6.848

10.835

17.000

n = 26

1.295

1.673

2.157

2.772

3.556

4.549

7.396

11.918

19.040

n = 27

1.308

1.707

2.221

2.883

3.733

4.822

7.988

13.110

21.325

n = 28

1.321

1.741

2.288

2.999

3.920

5.112

8.627

14.421

23.884

n = 29

1.335

1.776

2.357

3.119

4.116

5.418

9.317

15.863

26.750

n = 30

1.348

1.811

2.427

3.243

4.322

5.743

10.063

17.449

29.960

n= the number of time periods in which the interest is compounded i= the interest rate per period with the interest added and compounded at the end of each period

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