Black-Scholes formula in subdiffusive regime
From MaRDI portal
Publication:841145
DOI10.1007/s10955-009-9791-4zbMath1173.82026OpenAlexW1968898906MaRDI QIDQ841145
Publication date: 14 September 2009
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-009-9791-4
Brownian motion (60J65) Financial applications of other theories (91G80) Derivative securities (option pricing, hedging, etc.) (91G20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)
Related Items
Small ball probabilities for a class of time-changed self-similar processes ⋮ Correlated continuous time random walk and option pricing ⋮ A very efficient approach to compute the first-passage probability density function in a time-changed Brownian model: applications in finance ⋮ Option pricing of geometric Asian options in a subdiffusive Brownian motion regime ⋮ Trade duration risk in subdiffusive financial models ⋮ Time-fractional geometric Brownian motion from continuous time random walks ⋮ Option pricing under mixed hedging strategy in time-changed mixed fractional Brownian model ⋮ Fractional Hawkes processes ⋮ Solution of time-space fractional Black-Scholes European option pricing problem through fractional reduced differential transform method ⋮ A computational weighted finite difference method for American and barrier options in subdiffusive Black-Scholes model ⋮ Heavy-tailed fractional Pearson diffusions ⋮ Pricing of basket options in subdiffusive fractional Black-Scholes model ⋮ Option pricing based on modified advection-dispersion equation: stochastic representation and applications ⋮ Stochastic analysis for vector-valued generalized grey Brownian motion ⋮ Option pricing under the Merton model of the short rate in subdiffusive Brownian motion regime ⋮ Time averaging, ageing and delay analysis of financial time series ⋮ A weighted finite difference method for subdiffusive Black-Scholes model ⋮ Option pricing in illiquid markets: a fractional jump-diffusion approach ⋮ A subdiffusive stochastic volatility jump model ⋮ Option pricing under time interval driven model ⋮ Fractional Pearson diffusions ⋮ Option pricing in subdiffusive Bachelier model ⋮ Unnamed Item ⋮ Anomalous Diffusions in Option Prices: Connecting Trade Duration and the Volatility Term Structure ⋮ Fractional Fokker-Planck equation and Black-Scholes formula in composite-diffusive regime ⋮ Integrablization of time fractional PDEs ⋮ Characteristics of isothermal Fokker–Planck equation for opinion-cluster involved with self-thinking ⋮ Geometric random walk of finite number of agents under constant variance ⋮ THE VALUATION OF EUROPEAN OPTION UNDER SUBDIFFUSIVE FRACTIONAL BROWNIAN MOTION OF THE SHORT RATE ⋮ Subdiffusive fractional Black–Scholes model for pricing currency options under transaction costs ⋮ Pricing european option under the time-changed mixed Brownian-fractional Brownian model ⋮ Stochastic stability of fractional Fokker-Planck equation ⋮ The evaluation of geometric Asian power options under time changed mixed fractional Brownian motion ⋮ A fractional multi-states model for insurance ⋮ From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations ⋮ Stochastic representation of subdiffusion processes with time-dependent drift ⋮ A fractional Fokker-Planck control framework for subdiffusion processes ⋮ CDS pricing with fractional Hawkes processes ⋮ Option pricing under the subordinated market models ⋮ Approximation of heavy-tailed fractional Pearson diffusions in Skorokhod topology ⋮ Pricing of European call option under fuzzy interest rate
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- Spatial gliding, temporal trapping, and anomalous transport
- Stochastic representation of subdiffusion processes with time-dependent drift
- Subordinated market index models: A comparison
- Can one see \(\alpha\)-stable variables and processes?
- Black-Scholes model under subordination
- On the Chambers-Mallows-Stuck method for simulating skewed stable random variables
- Langevin picture of subdiffusion with infinitely divisible waiting times
- Two-time scale subordination in physical processes with long-term memory
- Stochastic solution of space-time fractional diffusion equations
- Path Properties of Subdiffusion—A Martingale Approach
- Financial Modelling with Jump Processes
- Fractional Langevin equation with α-stable noise. A link to fractional ARIMA time series
- Introduction to Econophysics
- The random walk's guide to anomalous diffusion: A fractional dynamics approach