Lévy-Ito models in finance
From MaRDI portal
Publication:2039766
DOI10.1214/21-PS1zbMath1480.91286arXiv1907.08499OpenAlexW3157174460MaRDI QIDQ2039766
Leandro Sánchez-Betancourt, Sebastian Jaimungal, Lane P. Hughston, George Bouzianis
Publication date: 5 July 2021
Published in: Probability Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.08499
Lévy processesasset pricingLévy measurerisk aversionforeign exchangeVasicek modelPoisson random measureinterest rate modelsrisk premiumpricing kernelsSiegel's paradox
Processes with independent increments; Lévy processes (60G51) Applications of stochastic analysis (to PDEs, etc.) (60H30) Derivative securities (option pricing, hedging, etc.) (91G20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- Mathematical methods for financial markets.
- Pricing contingent claims on stocks driven by Lévy processes
- Towards a general theory of bond markets
- A chaotic approach to interest rate modelling
- Lévy term structure models: no-arbitrage and completeness
- Chaotic and predictable representations for Lévy processes.
- Hyperbolic distributions in finance
- Fluctuations of Lévy processes with applications. Introductory lectures
- Exponential stock models driven by tempered stable processes
- The Lévy LIBOR model
- Multiple Wiener integral
- Term Structure Models Driven by General Levy Processes
- Chaos and coherence: a new framework for interest–rate modelling
- Pricing and Hedging in Exponential Lévy Models: Review of Recent Results
- Probability and Stochastics
- DETERMINATION OF THE LÉVY EXPONENT IN ASSET PRICING MODELS
- Spectral Type of the Shift Transformation of Differential Processes With Stationary Increments
- VALUATIONS AND DYNAMIC CONVEX RISK MEASURES
- Term Structure Models Driven by Wiener Processes and Poisson Measures: Existence and Positivity
- Lévy Processes and Stochastic Calculus
- Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation
- Option Pricing With V. G. Martingale Components1
- The Potential Approach to the Term Structure of Interest Rates and Foreign Exchange Rates
- Bond Market Structure in the Presence of Marked Point Processes
- A GENERAL PROOF OF THE DYBVIG-INGERSOLL-ROSS THEOREM: LONG FORWARD RATES CAN NEVER FALL
- LÉVY–VASICEK MODELS AND THE LONG-BOND RETURN PROCESS
- SOCIAL DISCOUNTING AND THE LONG RATE OF INTEREST
- VASIČEK BEYOND THE NORMAL
- Financial Modelling with Jump Processes
- Financial Derivatives in Theory and Practice
- Martingale Representation of Functionals of Lévy Processes
- GENERALIZATION OF THE DYBVIG–INGERSOLL–ROSS THEOREM AND ASYMPTOTIC MINIMALITY
- ASYMPTOTICS FOR EXPONENTIAL LÉVY PROCESSES AND THEIR VOLATILITY SMILE: SURVEY AND NEW RESULTS
- ON THE DYBVIG‐INGERSOLL‐ROSS THEOREM
- The Variance Gamma Process and Option Pricing
- Dam rain and cumulative gain
- Mathematical Finance
- General theory of geometric Lévy models for dynamic asset pricing
- An equilibrium characterization of the term structure
- Pricing Interest-Rate-Derivative Securities
- BEHAVIOR OF LONG-TERM YIELDS IN A LÉVY TERM STRUCTURE
- Wiener chaos and the Cox–Ingersoll–Ross model
- Option pricing when underlying stock returns are discontinuous
- Esscher transforms and the minimal entropy martingale measure for exponential Lévy models
- Applied stochastic control of jump diffusions