Question
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
- 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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