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Answer: cost of debt
## Explanation To determine which factor the company's value is most sensitive to, we need to calculate the percentage change in valuation for each variable: **Cost of Debt:** - Valuation range: $540 million to $240 million - Percentage change: ($540 - $240) / $540 = 55.6% decrease **Cost of Equity:** - Valuation range: $370 million to $230 million - Percentage change: ($370 - $230) / $370 = 37.8% decrease **Manufacturing Costs:** - Valuation range: $410 million to $300 million - Percentage change: ($410 - $300) / $410 = 26.8% decrease **Analysis:** - Cost of debt causes the largest percentage change in valuation (55.6%) - Cost of equity causes a 37.8% change - Manufacturing costs cause a 26.8% change Therefore, the company's value is **most sensitive to changes in the cost of debt** because it results in the largest percentage swing in valuation between the low and high estimates. This makes intuitive sense because: 1. Cost of debt directly affects WACC, which is used to discount future cash flows 2. Small changes in discount rates can have large impacts on present values 3. The cost of debt has the widest range (8.2% to 10.3%) among the variables
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An analyst reviews the following information:
| Low Estimate | High Estimate | Valuation with Low Estimate | Valuation with High Estimate | |
|---|---|---|---|---|
| Cost of debt | 8.2% | 10.3% | $540 million | $240 million |
| Cost of equity | 10.0% | 12.5% | $370 million | $230 million |
| Manufacturing costs (% of revenue) | 20.3% | 24.8% | $410 million | $300 million |
Based on this information, the company's value is most sensitive to changes in the:
A
cost of debt
B
cost of equity
C
manufacturing costs