A Stochastic String with a Compound Poisson Process
Author(s) -
Sheng Fan
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/857678
Subject(s) - mathematics , poisson distribution , short rate , dimension (graph theory) , jump process , compound poisson process , jump diffusion , arbitrage , jump , stochastic process , poisson process , statistical physics , bond , combinatorics , statistics , yield curve , financial economics , finance , quantum mechanics , physics , economics
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
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