Title
Credit default swap calibration and derivatives pricing with the SSRD stochastic intensity model
Abstract
We introduce the two-dimensional shifted square-root diffusion (SSRD) model for interest-rate and credit derivatives with (positive) stochastic intensity. The SSRD is the unique explicit diffusion model allowing an automatic and separated calibration of the term structure of interest rates and of credit default swaps (CDS’s), and retaining free dynamics parameters that can be used to calibrate option data. We propose a new positivity preserving implicit Euler scheme for Monte Carlo simulation. We discuss the impact of interest-rate and default-intensity correlation and develop an analytical approximation to price some basic credit derivatives terms involving correlated CIR processes. We hint at a formula for CDS options under CIR + + CDS-calibrated stochastic intensity.
Year
DOI
Venue
2005
10.1007/s00780-004-0131-x
Finance and Stochastics
Keywords
Field
DocType
interest-rate intensity cor- relation,monte carlo simulation,calibration,credit derivatives,interest-rate derivatives,diffusion model,interest rate derivatives,term structure,credit default swap,interest rate,credit derivative
Credit derivative,Credit default swap,Financial economics,Mathematical optimization,Monte Carlo method,Economics,Yield curve,Backward Euler method,Derivative (finance),Diffusion (business),Interest rate derivative
Journal
Volume
Issue
ISSN
9
1
1432-1122
Citations 
PageRank 
References 
9
3.05
2
Authors
2
Name
Order
Citations
PageRank
Damiano Brigo1178.42
A ur ´ elien Alfonsi293.05