AIFA AIFA Quantitative Methods & Financial Modeling 2 — Questions and Answers
Question 1: A company's EBITDA is $5 million and its total enterprise value is $30 million. What is the EV/EBITDA multiple?
- 4.0x
- 5.0x
- 6.0x (Correct answer)
- 7.5x
Correct answer: 6.0x
EV/EBITDA = $30M / $5M = 6.0x, a common valuation multiple used to compare companies across capital structures.
Question 2: In regression analysis, what does the R-squared (R²) value represent?
- The slope of the regression line
- The proportion of variance in the dependent variable explained by the independent variable(s) (Correct answer)
- The standard error of the regression
- The correlation between residuals and fitted values
Correct answer: The proportion of variance in the dependent variable explained by the independent variable(s)
R² measures the goodness of fit, indicating what percentage of the variance in the dependent variable is explained by the model's independent variables.
Question 3: What is the primary purpose of sensitivity analysis in financial modeling?
- To calculate the exact future value of an investment
- To test how changes in key assumptions affect the model output (Correct answer)
- To determine the optimal capital structure
- To estimate the cost of equity using beta
Correct answer: To test how changes in key assumptions affect the model output
Sensitivity analysis reveals how changes in key inputs (e.g., revenue growth, discount rate) affect model outputs such as valuation or NPV.
Question 4: A project has an NPV of $0 when discounted at 12%. What does this tell you about the project's internal rate of return (IRR)?
- The IRR is less than 12%
- The IRR equals 12% (Correct answer)
- The IRR is greater than 12%
- The IRR cannot be determined from NPV alone
Correct answer: The IRR equals 12%
By definition, the IRR is the discount rate at which NPV equals zero; therefore, if NPV = $0 at 12%, the IRR is exactly 12%.
Question 5: Which valuation approach determines value by analyzing the prices paid for comparable companies in recent merger and acquisition transactions?
- Discounted Cash Flow (DCF) analysis
- Comparable company analysis (trading comps)
- Precedent transaction analysis (Correct answer)
- Liquidation value analysis
Correct answer: Precedent transaction analysis
Precedent transaction analysis values a company based on multiples paid in historical M&A deals for similar businesses, reflecting acquisition premiums.
Question 6: Which type of financial ratio measures how quickly a company converts its assets into revenue?
- Liquidity ratio
- Profitability ratio
- Activity (efficiency) ratio (Correct answer)
- Leverage ratio
Correct answer: Activity (efficiency) ratio
Activity ratios such as asset turnover measure how efficiently a company uses its assets to generate sales revenue.
AIFA AIFA Quantitative Methods & Financial Modeling 2
A company's EBITDA is $5 million and its total enterprise value is $30 million.
What is the EV/EBITDA multiple?