A Stochastic String with a Compound Poisson Process

We investigate a compound Poisson infinite factor diffusion model which describes the relationship between the infinite-dimension random risk resource and the corresponding stochastic process. We derive the no-arbitrage condition on the drift of instantaneous forward rates in the compound model and...

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Main Author: Sheng Fan
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/857678
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spelling doaj-fcb3b7606957409eaf42e864f4ddf7ec2020-11-24T23:04:28ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/857678857678A Stochastic String with a Compound Poisson ProcessSheng Fan0Department of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaWe investigate a compound Poisson infinite factor diffusion model which describes the relationship between the infinite-dimension random risk resource and the corresponding stochastic process. We derive the no-arbitrage condition on the drift of instantaneous forward rates in the compound model and study the impact of random jump on the price of the zero-coupon bond.http://dx.doi.org/10.1155/2013/857678
collection DOAJ
language English
format Article
sources DOAJ
author Sheng Fan
spellingShingle Sheng Fan
A Stochastic String with a Compound Poisson Process
Abstract and Applied Analysis
author_facet Sheng Fan
author_sort Sheng Fan
title A Stochastic String with a Compound Poisson Process
title_short A Stochastic String with a Compound Poisson Process
title_full A Stochastic String with a Compound Poisson Process
title_fullStr A Stochastic String with a Compound Poisson Process
title_full_unstemmed A Stochastic String with a Compound Poisson Process
title_sort stochastic string with a compound poisson process
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We investigate a compound Poisson infinite factor diffusion model which describes the relationship between the infinite-dimension random risk resource and the corresponding stochastic process. We derive the no-arbitrage condition on the drift of instantaneous forward rates in the compound model and study the impact of random jump on the price of the zero-coupon bond.
url http://dx.doi.org/10.1155/2013/857678
work_keys_str_mv AT shengfan astochasticstringwithacompoundpoissonprocess
AT shengfan stochasticstringwithacompoundpoissonprocess
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