Asymptotics and calibration of local volatility models
From MaRDI portal
Publication:4646770
DOI10.1088/1469-7688/2/1/305zbMath1405.91586OpenAlexW2110018918MaRDI QIDQ4646770
Jérôme Busca, Igor Florent, Henri Berestycki
Publication date: 14 January 2019
Published in: Quantitative Finance (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1469-7688/2/1/305
Financial applications of other theories (91G80) Derivative securities (option pricing, hedging, etc.) (91G20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
Related Items (max. 100)
Modeling and implementation of local volatility surfaces in Bayesian framework ⋮ SHORT MATURITY ASIAN OPTIONS FOR THE CEV MODEL ⋮ Asymptotic Implied Volatility at the Second Order with Application to the SABR Model ⋮ Second Order Expansion for Implied Volatility in Two Factor Local Stochastic Volatility Models and Applications to the Dynamic $$\lambda $$-Sabr Model ⋮ Implied Volatility of Basket Options at Extreme Strikes ⋮ Implied Volatility from Local Volatility: A Path Integral Approach ⋮ A rough SABR formula ⋮ Short maturity conditional Asian options in local volatility models ⋮ Option pricing in the moderate deviations regime ⋮ Short Maturity Asian Options in Local Volatility Models ⋮ MARKOVIAN STOCHASTIC VOLATILITY WITH STOCHASTIC CORRELATION — JOINT CALIBRATION AND CONSISTENCY OF SPX/VIX SHORT-MATURITY SMILES ⋮ Approximate solutions to second-order parabolic equations: evolution systems and discretization ⋮ On asymptotically arbitrage-free approximations of the implied volatility ⋮ A new algorithm for computing path integrals and weak approximation of SDEs inspired by large deviations and Malliavin calculus ⋮ SHORT-MATURITY ASYMPTOTICS FOR OPTION PRICES WITH INTEREST RATE EFFECTS ⋮ A partial rough path space for rough volatility ⋮ Small-Time Asymptotics under Local-Stochastic Volatility with a Jump-to-Default: Curvature and the Heat Kernel Expansion ⋮ Small-time expansions of the distributions, densities, and option prices of stochastic volatility models with Lévy jumps ⋮ Local volatility under rough volatility ⋮ EFFECTIVE ASYMPTOTICS ANALYSIS FOR FINANCE ⋮ Monotonicity of implied volatility for perpetual put options ⋮ Analytical approximation of the transition density in a local volatility model ⋮ Recovery of time dependent volatility coefficient by linearization ⋮ Hermite polynomial based expansion of European option prices ⋮ SMALL-TIME ASYMPTOTICS IN GEOMETRIC ASIAN OPTIONS FOR A STOCHASTIC VOLATILITY JUMP-DIFFUSION MODEL ⋮ EXPANSION FORMULAS FOR EUROPEAN QUANTO OPTIONS IN A LOCAL VOLATILITY FX-LIBOR MODEL ⋮ A VOLATILITY-OF-VOLATILITY EXPANSION OF THE OPTION PRICES IN THE SABR STOCHASTIC VOLATILITY MODEL ⋮ SMILE MODELING IN COMMODITY MARKETS ⋮ Hermite expansion of transition densities and European option prices for multivariate diffusions with jumps ⋮ Recovery of local volatility for financial assets with mean-reverting price processes ⋮ On the regularity of the free boundary in the parabolic obstacle problem. Application to American options ⋮ Extreme at-the-money skew in a local volatility model ⋮ Forward equations for option prices in semimartingale models ⋮ Delta-hedging vega risk? ⋮ On the Harmonic Mean Representation of the Implied Volatility ⋮ Short Maturity Forward Start Asian Options in Local Volatility Models ⋮ Numerical techniques for determining implied volatility in option pricing ⋮ Application of large deviation methods to the pricing of index options in finance.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- Inverse parabolic problems with the final overdetermination
- IMPLIED AND LOCAL VOLATILITIES UNDER STOCHASTIC VOLATILITY
- On the regularity theory of fully nonlinear parabolic equations: I
- Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets
- The inverse problem of option pricing
- Calibrating volatility surfaces via relative-entropy minimization
- Equivalent Black volatilities
- An inverse parabolic problem arising in finance
- Diffusion processes in a small time interval
- Inverse problems for partial differential equations
- An introduction to the mathematical theory of inverse problems
This page was built for publication: Asymptotics and calibration of local volatility models