AN EXACT FORMULA FOR DEFAULT SWAPTIONS' PRICING IN THE SSRJD STOCHASTIC INTENSITY MODEL

被引:23
作者
Brigo, Damiano [1 ]
El-Bachir, Naoufel [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England
关键词
credit derivatives; credit default swap; credit default swaption; jump-diffusion; stochastic intensity; doubly stochastic Poisson process; Cox process; semi-analytic formula; numerical integration; VALUATION;
D O I
10.1111/j.1467-9965.2010.00401.x
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
We develop and test a fast and accurate semi-analytical formula for single-name default swaptions in the context of a shifted square root jump diffusion (SSRJD) default intensity model. The model can be calibrated to the CDS term structure and a few default swaptions, to price and hedge other credit derivatives consistently. We show with numerical experiments that the model implies plausible volatility smiles.
引用
收藏
页码:365 / 382
页数:18
相关论文
共 22 条
[1]   A dynamic programming approach for pricing CDS and CDS options [J].
Ben-Ameur, Hatem ;
Brigo, Damiano ;
Errais, Eymen .
QUANTITATIVE FINANCE, 2009, 9 (06) :717-726
[2]  
Bielecki TomaszR., 2001, Credit Risk: Modeling, Valuation, and Hedging
[3]   PRICING OF COMMODITY CONTRACTS [J].
BLACK, F .
JOURNAL OF FINANCIAL ECONOMICS, 1976, 3 (1-2) :167-179
[4]   Credit default swap calibration and derivatives pricing with the SSRD stochastic intensity model [J].
Brigo, D ;
Alfonsi, A .
FINANCE AND STOCHASTICS, 2005, 9 (01) :29-42
[5]  
BRIGO D, 2005, RISK JAN, P84
[6]  
BRIGO D, 2003, CREDIT DEFAULT SWAPS
[7]  
Brigo D, 2008, CH CRC FINANC MATH, P63
[8]   THE STOCHASTIC INTENSITY SSRD MODEL IMPLIED VOLATILITY PATTERNS FOR CREDIT DEFAULT SWAP OPTIONS AND THE IMPACT OF CORRELATION [J].
Brigo, Damiano ;
Cousot, Laurent .
INTERNATIONAL JOURNAL OF THEORETICAL AND APPLIED FINANCE, 2006, 9 (03) :315-339
[9]  
CHRISTENSEN J, 2002, THESIS U COPENHAGEN
[10]   A THEORY OF THE TERM STRUCTURE OF INTEREST-RATES [J].
COX, JC ;
INGERSOLL, JE ;
ROSS, SA .
ECONOMETRICA, 1985, 53 (02) :385-407