SFB 303 Discussion Paper No. B - 446
Author: Leisen, Dietmar P.J.
Title: Valuation of Barrier Options in a Black-Scholes Setup with Jump Risk
Abstract: This paper discusses the pitfalls in the pricing of barrier options
a
pproximations of the underlying continuous processes via discrete lattice
models
. These problems are studied first in a Black-Scholes model. Improvements
result from a trinomial model and a further modified model where price
changes occur
at the jump times of a Poisson process. After the numerical difficulties
have be
en resolved in the Black-Scholes model, unpredictable discontinuous price
movem
ents are incorporated.
Keywords: binomial model, option valuation, lattice--approach, barrier option
JEL-Classification-Number: C63, G12, G13G
Creation-Date: January 1999
URL: ../1999/b/bonnsfb446.pdf
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