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You are presented with the following estimates of the cost synergies of a merger: Year 0 1 2 3 4 5 Pre-Tax Cost Savings, Constant

  1. You are presented with the following estimates of the cost synergies of a merger:

Year

0

1

2

3

4

5

Pre-Tax Cost Savings, Constant US$

$ 50

$ 100

$100

$100

$ 100

Expected Inflation Rate

2%

2%

2%

2%

2%

Growth Rate FCFF (nominal), perpetuity

2%

Discount Rate

6%

Ongoing Investment/Savings (year 3+)

5%

Pre-Tax Cost Savings, Current US$

$ 51

$ 104

$106

$108

$ 110

Tax Expense (@ .40)

(20)

(42)

(42)

(43)

(44)

After-Tax Cost Savings

31

62

64

65

66

Less: Investment to Realize Savings

$ (1,000)

(5)

(5)

(6)

Plus: Disinvestment Associated with the Savings

20

20

10

-

-

Subtotal

(1,000)

51

82

68

60

61

Continuation Value

1,548

FCF

$ (1,000)

$ 51

$ 82

$ 68

$ 60

$ 1,609

NPV Cost Savings

$428

IRR Synergy Investment

15%

Now, assume that CFO is performing sensitivity analysis and alters the assumed perpetual growth rate to -10%, and the assumed discount rate to 10%. What will be the NPV of the cost savings? What will be the IRR?

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