Telling from Discrete Data Whether the Underlying Continuous‐Time Model Is a Diffusion

A-Tier
Journal: Journal of Finance
Year: 2002
Volume: 57
Issue: 5
Pages: 2075-2112

Authors (1)

Yacine Aït‐Sahalia (not in RePEc)

Score contribution per author:

4.022 = (α=2.01 / 1 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Can discretely sampled financial data help us decide which continuous‐time models are sensible? Diffusion processes are characterized by the continuity of their sample paths. This cannot be verified from the discrete sample path: Even if the underlying path were continuous, data sampled at discrete times will always appear as a succession of jumps. Instead, I rely on the transition density to determine whether the discontinuities observed are the result of the discreteness of sampling, or rather evidence of genuine jump dynamics for the underlying continuous‐time process. I then focus on the implications of this approach for option pricing models.

Technical Details

RePEc Handle
repec:bla:jfinan:v:57:y:2002:i:5:p:2075-2112
Journal Field
Finance
Author Count
1
Added to Database
2026-01-24