The double exponential jump-diffusion (DEJD) model, recently proposed by Kou (Manage Sci 48(8), 1086–1101, 2002) and Ramezani
and Zeng (http://papers.ssrn.com/sol3/papers.cfm?abstract_id=606361, 1998), generates a highly skewed and leptokurtic distribution
and is capable of matching key features of stock and index returns. Moreover, DEJD leads to tractable pricing formulas for
exotic and path dependent options (Kou and Wang Manage Sci 50(9), 1178–1192, 2004). Accordingly, the double exponential representation
has gained wide acceptance. However, estimation and empirical assessment of this model has received little attention to date.
The primary objective of this paper is to fill this gap. We use daily returns for the S&P-500 and the NASDAQ indexes and individual
stocks, in conjunction with maximum likelihood estimation (MLE) to fit the DEJD model. We utilize the BIC criterion to assess
the performance of DEJD relative to log-normally distributed jump-diffusion (LJD) and the geometric brownian motion (GBM).
We find that DEJD performs better than these alternatives for both indexes and individual stocks.
Keywords Asset price processes - Double exponential jump-diffusion - Pareto-beta jump diffusion - Leptokurtic distributions - Volatility smile-smirk - MLE
JEL Classification Numbers C32 - C52 - G12 - G13