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A preliminary analysis of a project indicates the following: NPV of Project Scen

ID: 2756433 • Letter: A

Question

A preliminary analysis of a project indicates the following:

NPV of Project

Scenario

Year

CF mil.

Unconditional

Probability

PVF

CF*Prob.*PVF

Initial

0

-50

100%

1

-50.000

H

1

25

70%

0.90909

15.909

L

1

10

30%

0.90909

2.727

HH

2

85

49%

0.82645

34.421

HL

2

70

21%

0.82645

12.149

LH

2

45

12%

0.82645

4.463

LL

2

20

18%

0.82645

2.975

NPV à

22.645

A financial analyst uncovers additional information not incorporated in the calculations above:

In year 1, if scenario equals L, the firm can abandon operations and realize a liquidation value of $30 million from its assets.

Using the DTA approach, answer the following two questions:

What is the NPV of the project?

What is the NPV of the option to abandon?

NPV of Project

Scenario

Year

CF mil.

Unconditional

Probability

PVF

CF*Prob.*PVF

Initial

0

-50

100%

1

-50.000

H

1

25

70%

0.90909

15.909

L

1

10

30%

0.90909

2.727

HH

2

85

49%

0.82645

34.421

HL

2

70

21%

0.82645

12.149

LH

2

45

12%

0.82645

4.463

LL

2

20

18%

0.82645

2.975

NPV à

22.645

Explanation / Answer

Scenario HH 70248250.00 Scenario H Scenario HL 22727250.00 57851500.00 Investment            -5,00,00,000.00 Scenario LH Scenario L 37190250.00 9090900.00 Scenario LL 16529000.00 NPV of the Project = Scenario H + Scenario HH - Investment 4,29,75,500.00 NPV of the option to abandon the project   = Scenario L + $30,000,000.00*0.82645 - Investment          -1,61,15,600.00

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