Math Problem Statement
Which of the following changes would result in the largest increase in Total Net Leverage? Assume the initial values are Gross Total Debt = $500m, Cash & Equivalents = $50m, EBITDA = $100m, EBITDA Margin =20%
Your answer: An increase in Gross Senior Debt of $75m A decrease in Cash of $50m A decrease in EBITDA of $10m A decrease in EBITDA margin of 5 percentage points
Solution
Definitions:
Total Net Leverage is typically calculated as:
- Gross Total Debt: $500m
- Cash & Equivalents: $50m
- EBITDA: $100m
- EBITDA Margin: 20% (though not directly used, this can help interpret changes in EBITDA).
Let's calculate how each of the four proposed changes would impact Total Net Leverage:
1. An increase in Gross Senior Debt of $75m
- New Gross Total Debt = $500m + $75m = $575m
- Cash remains unchanged at $50m
- EBITDA remains unchanged at $100m
The original Net Leverage is:
Change in Net Leverage: 5.25 - 4.5 = +0.75
2. A decrease in Cash of $50m
- Gross Total Debt remains $500m
- New Cash & Equivalents = $50m - $50m = $0
- EBITDA remains $100m
Change in Net Leverage: 5.0 - 4.5 = +0.5
3. A decrease in EBITDA of $10m
- Gross Total Debt remains $500m
- Cash remains $50m
- New EBITDA = $100m - $10m = $90m
Change in Net Leverage: 5.0 - 4.5 = +0.5
4. A decrease in EBITDA margin of 5 percentage points
- The EBITDA margin decreases from 20% to 15%, but the question does not directly provide a revenue figure. To interpret this, assume that the revenue remains unchanged and focus on the relative decrease in EBITDA.
- Assumption: EBITDA margin decreases by 5%, which is a proportional decrease in EBITDA.
- Gross Total Debt remains $500m
- Cash remains $50m
Change in Net Leverage: 6.0 - 4.5 = +1.5
Conclusion:
The largest increase in Total Net Leverage occurs with the decrease in EBITDA margin by 5 percentage points, which increases Net Leverage by +1.5.
Would you like more details or have any questions?
5 Related Questions:
- How does an increase in Gross Senior Debt affect the balance sheet ratios?
- What are the implications of decreasing EBITDA for debt servicing?
- How is EBITDA margin connected to overall profitability metrics?
- What other financial ratios are impacted by changes in cash levels?
- How would issuing new equity impact leverage?
Tip: Always monitor both debt and EBITDA changes in tandem, as leverage is sensitive to shifts in both.
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Math Problem Analysis
Mathematical Concepts
Leverage
Debt Management
Financial Ratios
Formulas
Total Net Leverage = (Gross Total Debt - Cash & Equivalents) / EBITDA
Theorems
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Suitable Grade Level
University/Finance
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