Stochastic Implied Trees: Arbitrage Pricing with Stochastic Term and Strike Structure of Volatility
From MaRDI portal
Publication:4216100
DOI10.1142/S0219024998000059zbMath0908.90009OpenAlexW2011881037MaRDI QIDQ4216100
Publication date: 22 November 1998
Published in: International Journal of Theoretical and Applied Finance (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219024998000059
Related Items (51)
The collocating local volatility framework – a fresh look at efficient pricing with smile ⋮ Volatility smile as relativistic effect ⋮ THE RANGE OF TRADED OPTION PRICES ⋮ American option pricing with imprecise risk-neutral probabilities ⋮ Robust and accurate construction of the local volatility surface using the Black-Scholes equation ⋮ The Fundamental Theorem of Derivative Trading - exposition, extensions and experiments ⋮ A novel Monte Carlo approach to hybrid local volatility models ⋮ Calibration of stochastic volatility models: a Tikhonov regularization approach ⋮ Mimicking an Itō process by a solution of a stochastic differential equation ⋮ Options as silver bullets: valuation of term loans, inventory management, emissions trading and insurance risk mitigation using option theory ⋮ A computational approach to hedging credit valuation adjustment in a jump-diffusion setting ⋮ THE HESTON STOCHASTIC-LOCAL VOLATILITY MODEL: EFFICIENT MONTE CARLO SIMULATION ⋮ Arbitrage-Free Neural-SDE Market Models ⋮ Risk-neutral compatibility with option prices ⋮ IMPLIED AND LOCAL VOLATILITIES UNDER STOCHASTIC VOLATILITY ⋮ ON THE CONSISTENCY OF THE DETERMINISTIC LOCAL VOLATILITY FUNCTION MODEL ('IMPLIED TREE') ⋮ Implied and realized volatility: empirical model selection ⋮ EXPANSION FORMULAS FOR EUROPEAN QUANTO OPTIONS IN A LOCAL VOLATILITY FX-LIBOR MODEL ⋮ COLLOCATING VOLATILITY: A COMPETITIVE ALTERNATIVE TO STOCHASTIC LOCAL VOLATILITY MODELS ⋮ Deterministic implied volatility models ⋮ Dynamics of implied volatility surfaces ⋮ Alternative asset-price dynamics and volatility smile ⋮ Tangent Lévy market models ⋮ Implied non-recombining trees and calibration for the volatility smile ⋮ No-arbitrage interpolation of the option price function and its reformulation ⋮ The waterline tree for separable local-volatility models ⋮ Model-free price hedge ratios for homogeneous claims on tradable assets ⋮ Arbitrage-free market models for option prices: the multi-strike case ⋮ Local volatility dynamic models ⋮ The incompleteness problem of the APT model ⋮ Static Hedging of Barrier Options with a Smile: An Inverse Problem ⋮ Adaptive mixture for a controlled smile: the LT model ⋮ From volatility smiles to the volatility of volatility ⋮ Calibration of local volatility model with stochastic interest rates by efficient numerical PDE methods ⋮ Delta-hedging vega risk? ⋮ On the no-arbitrage condition in option implied trees ⋮ Calibration of the SABR Model in Illiquid Markets ⋮ LOCAL VOLATILITY FOR QUANTO OPTION PRICES WITH STOCHASTIC INTEREST RATES ⋮ TANGENT MODELS AS A MATHEMATICAL FRAMEWORK FOR DYNAMIC CALIBRATION ⋮ Shape-preserving interpolation and smoothing for options market implied volatility ⋮ IMPLIED VOLATILITY TREES AND PRICING PERFORMANCE: EVIDENCE FROM THE S&P 100 OPTIONS ⋮ CONSISTENT UPPER PRICE BOUNDS FOR EXOTIC OPTIONS ⋮ Efficient Options Pricing Using the Fast Fourier Transform ⋮ A simple computational model for analyzing the properties of stop-loss, take-profit, and price breakout trading strategies ⋮ Modeling and evaluation of the option book hedging problem using stochastic programming ⋮ Recovering the real-world density and liquidity premia from option data ⋮ Fitting Local Volatility: Analytic and Numerical Approaches in Black-Scholes and Local Variance Gamma Models ⋮ Barrier options and their static hedges: simple derivations and extensions ⋮ Almost sure and moment stability properties of fractional order Black-Scholes model ⋮ AN ANALYTICAL APPROXIMATION FOR EUROPEAN OPTION PRICES UNDER STOCHASTIC INTEREST RATES ⋮ Simulation of Implied Volatility Surfaces via Tangent Lévy Models
Cites Work
- The Pricing of Options and Corporate Liabilities
- Martingales and arbitrage in multiperiod securities markets
- Martingales and stochastic integrals in the theory of continuous trading
- A Theory of the Term Structure of Interest Rates
- Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation
- An equilibrium characterization of the term structure
- Stock Price Distributions with Stochastic Volatility: An Analytic Approach
- Option pricing: A simplified approach
This page was built for publication: Stochastic Implied Trees: Arbitrage Pricing with Stochastic Term and Strike Structure of Volatility