Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)

The Pricing of European Exchange Option

Authors
Shougang Zhang, Yunfeng Yang
Corresponding Author
Shougang Zhang
Available Online May 2017.
DOI
10.2991/ammsa-17.2017.54How to use a DOI?
Keywords
European exchange options; jump-diffusion; count process
Abstract

This paper discusses the problem of pricing on some multi-asset option European exchange option in jump-diffusion model by martingale method. By changing basic assumption of William Margrabe exchange option pricing model to the assumption that jump process is count process that more general than Poisson process, it is established that the behavior model of the stock pricing process is jump-diffusion process. The formula of European exchange option whose stock price with jump process is a count process that more general than Poisson process is deduced under the risk-neutral hypothesis, and it is extended that William Margrabe exchange option pricing model.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
Series
Advances in Intelligent Systems Research
Publication Date
May 2017
ISBN
978-94-6252-355-5
ISSN
1951-6851
DOI
10.2991/ammsa-17.2017.54How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Shougang Zhang
AU  - Yunfeng Yang
PY  - 2017/05
DA  - 2017/05
TI  - The Pricing of European Exchange Option
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 245
EP  - 248
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.54
DO  - 10.2991/ammsa-17.2017.54
ID  - Zhang2017/05
ER  -