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
相关论文
共 14 条
[1]  
Araujo A., 1997, IMPA PREPRINT B, VB122
[2]   PRICING OF OPTIONS AND CORPORATE LIABILITIES [J].
BLACK, F ;
SCHOLES, M .
JOURNAL OF POLITICAL ECONOMY, 1973, 81 (03) :637-654
[3]   CHANGES OF NUMERAIRE, CHANGES OF PROBABILITY MEASURE AND OPTION PRICING [J].
GEMAN, H ;
ELKAROUI, N ;
ROCHET, JC .
JOURNAL OF APPLIED PROBABILITY, 1995, 32 (02) :443-458
[4]  
Gerber H., 1994, T SOC ACTUARIES, V46, P99
[5]  
Gerber HU., 1996, MATH FINANC, V6, P303, DOI [10.1111/j.1467-9965.1996.tb00118.x, DOI 10.1111/J.1467-9965.1996.TB00118.X]
[6]  
Jacka S., 1991, MATH FINANC, V1, P1, DOI DOI 10.1111/J.1467-9965.1991.TB00007.X
[7]   OPTIONS ON THE MAXIMUM OR THE MINIMUM OF SEVERAL ASSETS [J].
JOHNSON, H .
JOURNAL OF FINANCIAL AND QUANTITATIVE ANALYSIS, 1987, 22 (03) :277-283
[8]   INTEGRAL OPTION [J].
KRAMKOV, DO ;
MORDECKY, E .
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1995, 39 (01) :162-172
[9]   VALUE OF AN OPTION TO EXCHANGE ONE ASSET FOR ANOTHER [J].
MARGRABE, W .
JOURNAL OF FINANCE, 1978, 33 (01) :177-186
[10]   OPTION PRICING WHEN UNDERLYING STOCK RETURNS ARE DISCONTINUOUS [J].
MERTON, RC .
JOURNAL OF FINANCIAL ECONOMICS, 1976, 3 (1-2) :125-144