Title
Weak Convergence of Path-Dependent SDEs in Basket Credit Default Swap Pricing with Contagion Risk.
Abstract
We investigate computational aspects of basket credit default swap pricing with counterparty credit risk under a multiname contagion model. This model enables us to capture systematic volatility increases in the market triggered by particular bankruptcies. A drawback of this model is its analytical intractability due to a combination of path-dependent coefficients and a path-dependent functional, which furthermore causes potential failure of convergence of numerical approximations under standing assumptions. In this paper, we find sufficient conditions for the desired convergence of functionals associated with approximated solution of certain path-dependent stochastic differential equations.
Year
DOI
Venue
2017
10.1137/15M1052329
SIAM JOURNAL ON FINANCIAL MATHEMATICS
Keywords
Field
DocType
path-dependent SDE,weak convergence,correlated first-passage times,basket CDS,contagion risk,counterparty risk
Convergence (routing),Credit default swap,Weak convergence,Financial economics,Mathematical optimization,Economics,Credit default swap index,Stochastic differential equation,Brownian motion,Volatility (finance),Credit risk
Journal
Volume
Issue
ISSN
8
1
1945-497X
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Yao Tung Huang100.68
Song, Q.S.231.52
Harry Zheng3289.30