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Net Present Value (NPV) and Internal Rate of Return (IRR) (question) The City and County of Denver is completing a $45 million renovation of City

  1. Net Present Value (NPV) and Internal Rate of Return (IRR) (question)

The City and County of Denver is completing a $45 million renovation of City Park Golf Course. To complete the renovation, the course has been closed to the public for 2.5 years (planned re-opening is Spring 2020). The project updated the course, built a new clubhouse that can accommodate golf and community events, resulted in a net gain of 500 trees, and reduced flood risk for thousands of homes.[1] All of these updates are expected to provide either increased revenue or reduced costs. Assume the $45 million cost was paid upfront by Denver and the following are the estimated cash receipts and disbursements associated with the project.[1] If the cost of capital is 6%, does the project make sense based on NPV and IRR over a 30-year useful life? Does your finding change if the cost of capital is actually 4%?

Year

Disbursements ($)

Receipts ($)

Net Cash Flow ($)

0

45000000

0

-45000000

1

0

0

0

2

0

0

0

3

13000000

15500000

2500000

4

13390000

15965000

2575000

5

13791700

16443950

2652250

6

14205451

16937269

2731818

7

14631615

17445387

2813772

8

15070563

17968748

2898185

9

15522680

18507811

2985131

10

15988360

19063045

3074685

11

16468011

19634936

3166925

12

16962051

20223984

3261933

13

17470913

20830704

3359791

14

17995040

21455625

3460585

15

18534892

22099294

3564402

16

19090938

22762273

3671334

17

19663666

23445141

3781474

18

20253576

24148495

3894919

19

20861184

24872950

4011766

20

21487019

25619138

4132119

21

22131630

26387712

4256083

22

22795579

27179344

4383765

23

23479446

27994724

4515278

24

24183829

28834566

4650736

25

24909344

29699603

4790259

26

25656625

30590591

4933966

27

26426323

31508309

5081985

28

27219113

32453558

5234445

29

28035686

33427165

5391478

30

28876757

34429980

5553223

[

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