PRICING DERIVATIVES ON TWO-DIMENSIONAL LEVY PROCESSES

被引:10
作者
Fajardo, Jose [1 ]
Mordecki, Ernesto [2 ]
机构
[1] IBMEC Business Sch, Av Rio Branco 108, BR-20040001 Rio De Janeiro, Brazil
[2] Ctr Matemaat, Fac Ciencias, Montevideo 11400, Uruguay
关键词
Levy processes; optimal stopping; dual market method; derivative pricing;
D O I
10.1142/S0219024906003536
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
The aim of this work is to use a duality approach to study the pricing of derivatives depending on two stocks driven by a bidimensional Levy process. The main idea is to apply Girsanov's Theorem for Levy processes, in order to reduce the posed problem to a problem with one Levy driven stock in an auxiliary market, baptized as "dual market". In this way, we extend the results obtained by Gerber and Shiu [5] for two-dimensional Brownian motion.
引用
收藏
页码:185 / 197
页数:13
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