Continuous-Time Portfolio Selection and Option Pricing under Risk-Minimization Criterion in an Incomplete Market

Joint Authors

Zhu, Wenli
Huang, Jiexiang
Li, Shuang
Ruan, Xinfeng

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-10-30

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We study option pricing with risk-minimization criterion in an incomplete market where the dynamics of the risky underlying asset are governed by a jump diffusion equation.

We obtain the Radon-Nikodym derivative in the minimal martingale measure and a partial integrodifferential equation (PIDE) of European call option.

In a special case, we get the exact solution for European call option by Fourier transformation methods.

Finally, we employ the pricing kernel to calculate the optimal portfolio selection by martingale methods.

American Psychological Association (APA)

Ruan, Xinfeng& Zhu, Wenli& Huang, Jiexiang& Li, Shuang. 2013. Continuous-Time Portfolio Selection and Option Pricing under Risk-Minimization Criterion in an Incomplete Market. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-451934

Modern Language Association (MLA)

Ruan, Xinfeng…[et al.]. Continuous-Time Portfolio Selection and Option Pricing under Risk-Minimization Criterion in an Incomplete Market. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-451934

American Medical Association (AMA)

Ruan, Xinfeng& Zhu, Wenli& Huang, Jiexiang& Li, Shuang. Continuous-Time Portfolio Selection and Option Pricing under Risk-Minimization Criterion in an Incomplete Market. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-451934

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-451934