Derives a generalized European option pricing PDE from an operational-time log-price lattice with state-dependent transitions that converges to the Black-Scholes-Merton PDE under risk-neutral drift and constant volatility.
Fractional calculus and continuous-time finance
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper we present a rather general phenomenological theory of tick-by-tick dynamics in financial markets. Many well-known aspects, such as the L\'evy scaling form, follow as particular cases of the theory. The theory fully takes into account the non-Markovian and non-local character of financial time series. Predictions on the long-time behaviour of the waiting-time probability density are presented. Finally, a general scaling form is given, based on the solution of the fractional diffusion equation.
fields
q-fin.PR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Option prices from operational-time reaction-boundary lattices
Derives a generalized European option pricing PDE from an operational-time log-price lattice with state-dependent transitions that converges to the Black-Scholes-Merton PDE under risk-neutral drift and constant volatility.