*Correspondence author, George Washington University, 2023 G Street, Room 530, Washington,
DC 20052; e-mail: jabbour@gwu.edu
Received July 2000; Accepted March 2001
■ George M. Jabbour is an Associate Professor at George Washington University in
Washington, DC.
■ Marat V. Kramin is a Financial Engineer in the Fannie Mae Portfolio Strategy
Department of Fannie Mae, Washington, DC.
■ Stephen D. Young is a Vice President at Merrill Lynch Investor Capital Strategies
Group, New York City.
The Journal of Futures Markets, Vol. 21, No. 11, 987–1001 (2001)
© 2001 by John Wiley & Sons, Inc.
TWO-STATE OPTION
PRICING: BINOMIAL
MODELS REVISITED
GEORGE M. JABBOUR*
MARAT V. KRAMIN
STEPHEN D. YOUNG
This article revisits the topic of two-state option pricing. It examines the
models developed by Cox, Ross, and Rubinstein (1979), Rendleman
and Bartter (1979), and Trigeorgis (1991) and presents two alternative
binomial models based on the continuous-time and discrete-time geomet-
ric Brownian motion processes, respectively. This work generalizes the
standard binomial approach, incorporating the main existing models as
particular cases. The proposed models are straightforward and flexible,
accommodate any drift condition, and afford additional insights into bino-
mial trees and lattice models in general. Furthermore, the alternative
parameterizations are free of the negative aspects associated with the Cox,
Ross, and Rubinstein model. © 2001 John Wiley & Sons, Inc. Jrl Fut
Mark 21:987–1001, 2001