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Financial Mathematics Risk Theory

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Financial Mathematics Risk Theory

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Research Frontiers in Jump-Diffusion Processes in Asset Pricing

Development and analysis of Lévy process-based models incorporating jumps for equity, commodity, and fixed income derivatives valuation.

Lévy Measure Calibration Under Microstructure Noise
Jump Clustering and Systemic Risk Contagion
Exotic Volatility Surfaces in Jump-Driven Markets
Optimal Stopping Under Compound Jump-Diffusion Regimes
Hawkes Processes and Self-Exciting Asset Discontinuities
Jump Size Distributions in High-Frequency Trading
Multilevel Monte Carlo for Jump-Diffusion Calibration
Regime-Switching Jump Processes in Credit Risk
Tempered Stable Laws and Tail Risk Management
Variance Swap Pricing Under Jump Leverage Effects

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