
Financial Risk Manager Part 1
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Which of the following statements correctly describes the difference between Monte Carlo Simulation and bootstrapping?
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Explanation:
Explanation
Option A is correct because:
- Monte Carlo Simulation generates variables and shocks from a particular theoretical distribution (e.g., normal distribution, lognormal distribution)
- Bootstrapping generates variables from observed data through random sampling with replacement from the historical dataset
Option B is incorrect because it reverses the correct relationship - Monte Carlo uses theoretical distributions while bootstrapping uses observed data.
Option C is incorrect because drawing indices when selecting data is characteristic of bootstrapping, not Monte Carlo Simulation.
Option D is incorrect because:
- Bootstrapping does not alter the underlying distribution; it uses random sampling from observed data to create new datasets with similar features
- Monte Carlo Simulation can involve generating variables from theoretical distributions, not strictly historical data
Key Differences:
- Monte Carlo: Uses theoretical probability distributions to generate random variables
- Bootstrapping: Uses resampling from actual historical data to create new datasets
- Monte Carlo is model-based (requires assumptions about distributions)
- Bootstrapping is data-driven (uses actual observed data)
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