Some Applications and Methods of Large Deviations in Finance and Insurance
From MaRDI portal
Publication:5435654
DOI10.1007/978-3-540-73327-0_5zbMath1151.91533arXivmath/0702473OpenAlexW2168282697MaRDI QIDQ5435654
Publication date: 14 January 2008
Published in: Paris-Princeton Lectures on Mathematical Finance 2004 (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702473
Applications of statistics to actuarial sciences and financial mathematics (62P05) Monte Carlo methods (65C05) Large deviations (60F10) Financial applications of other theories (91G80)
Related Items
The instanton method and its numerical implementation in fluid mechanics ⋮ Heterogeneous credit portfolios and the dynamics of the aggregate losses ⋮ The Gärtner-Ellis Theorem, Homogenization, and Affine Processes ⋮ Sample path large deviations and optimal importance sampling for stochastic volatility models ⋮ Sensitivity analysis for rare events based on Rényi divergence ⋮ Estimation of the realized (co-)volatility vector: large deviations approach ⋮ Large deviations for affine diffusion processes on \(\mathbb R_+^m \times\mathbb R^n\) ⋮ General stochastic separation theorems with optimal bounds ⋮ SHORT-MATURITY ASYMPTOTICS FOR OPTION PRICES WITH INTEREST RATE EFFECTS ⋮ A partial rough path space for rough volatility ⋮ Recovery rates in investment-grade pools of credit assets: a large deviations analysis ⋮ Functional Large Deviations and Moderate Deviations for Markov-Modulated Risk Models with Reinsurance ⋮ Periodically driven jump processes conditioned on large deviations ⋮ Risk sensitive control of the lifetime ruin problem ⋮ EXACT PRICING ASYMPTOTICS OF INVESTMENT-GRADE TRANCHES OF SYNTHETIC CDO'S: A LARGE HOMOGENEOUS POOL ⋮ Marginal Density Expansions for Diffusions and Stochastic Volatility II: Applications ⋮ Large-maturity regimes of the Heston forward smile ⋮ Large portfolio losses: A dynamic contagion model ⋮ Long-Time Large Deviations for the Multiasset Wishart Stochastic Volatility Model and Option Pricing ⋮ A note on compound renewal risk models with dependence ⋮ Computation of Multivariate Barrier Crossing Probability and its Applications in Credit Risk Models