The Fractional Ornstein-Uhlenbeck Process: Term Structure Theory and Application [PDF]
The paper revisits dynamic term structure models (DTSMs) and proposes a new way in dealing with the limitation of the classical affine models. In particular, this paper expands the flexibility of the DTSMs by applying a fractional Brownian motion as the ...
Frederiksen, Per H., Høg, Espen P.
core
An empirical model of volatility of returns and option pricing [PDF]
This paper reports several entirely new results on financial market dynamics and option pricing We observe that empirical distributions of returns are much better approximated by an exponential distribution than by a Gaussian.
Gunaratne, Gemunu H. +1 more
core +1 more source
Optimal Algebras and Novel Solutions of Time-Fractional 2+1−D European Call Option Model
In this article, we analyse the time-fractional 2+1−D Black–Scholes model for European call options by employing Lie symmetry analysis. We derive the infinitesimal transformations and classify the optimal systems.
Gimnitz Simon S. +2 more
doaj +1 more source
The time fractional Black–Scholes equation (TFBSE) is designed to evaluate price fluctuations within a correlated fractal transmission system. This model prices American or European put and call options on non-dividend-paying stocks.
Omid Nikan +2 more
doaj +1 more source
A New Stabled Relaxation Method for Pricing European Options Under the Time-Fractional Vasicek Model. [PDF]
Kharrat M, Arfaoui H.
europepmc +1 more source
High order finite difference schemes on non-uniform meshes for the time-fractional Black-Scholes equation. [PDF]
Yuri Dimitrov, Lubin G. Vulkov
openalex +3 more sources
Quantum effects in an expanded Black-Scholes model. [PDF]
Bhatnagar A, Vvedensky DD.
europepmc +1 more source
Numerical investigation of the fractional diffusion wave equation with exponential kernel via cubic B-Spline approach. [PDF]
Shafiq M +5 more
europepmc +1 more source
As an asset is traded, its varying prices trace out an interesting time series. The price, at least in a general way, reflects some underlying value of the asset.
James E. Gentle, Wolfgang Karl Härdle
core
An efficient numerical method based on exponential B-splines for time-fractional Black-Scholes equation governing European options [PDF]
Anshima Singh, Sunil Kumar
openalex +1 more source

