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Linear Volterra backward stochastic differential equations

Authors :
Hu, Yaozhong
Øksendal, Bernt
Publication Year :
2017

Abstract

We present an explicit solution triplet $(Y, Z, K)$ to the backward stochastic Volterra integral equation (BSVIE) of linear type, driven by a Brownian motion and a compensated Poisson random measure. The process $Y$ is expressed by an integral whose kernel is explicitly given. The processes $Z$ and $K$ are expressed by Hida-Malliavin derivatives involving $Y$.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1708.00208
Document Type :
Working Paper