
Answer-first summary for fast verification
Answer: Monte Carlo methods can be used to estimate value-at-risk (VaR) but cannot be used to price options.
## Explanation Statement C is incorrect because: - **Monte Carlo methods are widely used for option pricing**, particularly for complex derivatives and path-dependent options where closed-form solutions don't exist - The Black-Scholes model and other analytical methods work well for simple European options, but Monte Carlo simulation is essential for pricing: - American options - Asian options - Barrier options - Other exotic derivatives **Analysis of other statements:** - **A is correct**: Monte Carlo simulations can incorporate correlations through covariance matrices or copulas - **B is correct**: Time-varying volatility can be modeled using GARCH models or stochastic volatility models in Monte Carlo simulations - **D is correct**: Monte Carlo simulations typically require more computational power than historical simulations because they involve generating numerous random paths rather than simply reusing historical data **Key takeaway**: Monte Carlo simulation is a versatile tool used for both risk measurement (VaR estimation) and derivatives pricing in financial risk management.
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Which of the following statements about Monte Carlo simulation is incorrect?
A
Correlations among variables can be incorporated into a Monte Carlo simulation.
B
Monte Carlo simulations can handle time-varying volatility.
C
Monte Carlo methods can be used to estimate value-at-risk (VaR) but cannot be used to price options.
D
For estimating VaR, Monte Carlo methods generally require more computing power than historical simulations.
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