A General Derivation of the Jump Process Option Pricing Formula

B-Tier
Journal: Journal of Financial and Quantitative Analysis
Year: 1986
Volume: 21
Issue: 4
Pages: 437-446

Authors (2)

Page, Frank H. (not in RePEc) Sanders, Anthony B. (not in RePEc)

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

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

Abstract

The following paper presents a general derivation of the jump process option pricing formula. In particular, a general jump process formula is derived via an analysis of the limiting behavior of the binomial option pricing formula. In deriving the formula, a very simple central limit theorem known as Poisson's Limit Theorem is applied. The simplicity of the analysis allows the establishment of precisely the connections between the specification of the underlying binomial stock return process and the specific form of the corresponding continuous-time jump process formula. Several examples are provided to illustrate these connections.

Technical Details

RePEc Handle
repec:cup:jfinqa:v:21:y:1986:i:04:p:437-446_01
Journal Field
Finance
Author Count
2
Added to Database
2026-01-28