A Simple Robust Test for the Presence of Jumps in Asset Prices

44 Pages Posted: 13 Sep 2001

See all articles by Peter Carr

Peter Carr

New York University Finance and Risk Engineering

Liuren Wu

City University of New York, CUNY Baruch College - Zicklin School of Business

Date Written: July, 2001

Abstract

We develop a simple robust test for the presence of jumps in the price of an asset underlying an option. Our test examines the prices of at and out-of-the-money options as the time to maturity of the option approaches zero. We show that these prices converge to zero at speeds which depend on whether the price process is pure diffusion, pure jump, or a mixture of both. By applying our test to S&P 500 options data, we conclude that this index contains a jump component. Furthermore, there are strong indications of both a diffusion component and stochastic volatility.

JEL Classification: G12, G13, C52.

Suggested Citation

Carr, Peter P. and Wu, Liuren, A Simple Robust Test for the Presence of Jumps in Asset Prices (July, 2001). AFA 2002 Atlanta Meetings. Available at SSRN: https://ssrn.com/abstract=283315 or http://dx.doi.org/10.2139/ssrn.283315

Peter P. Carr

New York University Finance and Risk Engineering ( email )

6 MetroTech Center
Brooklyn, NY 11201
United States
9176217733 (Phone)

HOME PAGE: http://engineering.nyu.edu/people/peter-paul-carr

Liuren Wu (Contact Author)

City University of New York, CUNY Baruch College - Zicklin School of Business ( email )

One Bernard Baruch Way
Box B10-247
New York, NY 10010
United States
646-312-3509 (Phone)
646-312-3451 (Fax)

HOME PAGE: http://faculty.baruch.cuny.edu/lwu/

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