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A reduced-form intensity-based model under fuzzy environments  


×÷Õß:Wu, L (Wu, Liang)[ 1,2 ] ; Zhuang, YM (Zhuang, Yaming)[ 1 ]  




COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION



¾í: 22

ÆÚ: 1-3

Ò³: 1169-1177

DOI: 10.1016/j.cnsns.2014.07.021

³ö°æÄê: MAY 2015

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ÕªÒª

The external shocks and internal contagion are the important sources of default events. However, the external shocks and internal contagion effect on the company is not observed, we cannot get the accurate size of the shocks. The information of investors relative to the default process exhibits a certain fuzziness. Therefore, using randomness and fuzziness to study such problems as derivative pricing or default probability has practical needs. But the idea of fuzzifying credit risk models is little exploited, especially in a reduced-form model. This paper proposes a new default intensity model with fuzziness and presents a fuzzy default probability and default loss rate, and puts them into default debt and credit derivative pricing. Finally, the simulation analysis verifies the rationality of the model. Using fuzzy numbers and random analysis one can consider more uncertain sources in the default process of default and investors' subjective judgment on the financial markets in a variety of fuzzy reliability so as to broaden the scope of possible credit spreads. (C) 2014 Elsevier B.V. All rights reserved.


¹Ø¼ü´Ê

×÷Õ߹ؼü´Ê:Intensity-based model; Fuzzy environments; Derivative pricing

KeyWords Plus:BLACK-SCHOLES FORMULA; EUROPEAN OPTIONS; DEFAULTABLE BONDS; CREDIT-RISK; RATES; SETS


×÷ÕßÐÅÏ¢

ͨѶ×÷ÕßµØÖ·: Wu, L (ͨѶ×÷Õß)

Southeast Univ, Sch Econ & Management, Nanjing 211189, Jiangsu, Peoples R China.




µØÖ·:  

[ 1 ] Southeast Univ, Sch Econ & Management, Nanjing 211189, Jiangsu, Peoples R China


       [ 2 ] Henan Inst Sci & Technol, Sch Math Sci, XinXiang 453003, Henan, Peoples R China


µç×ÓÓʼþµØÖ·:nidewuliang@163.com


»ù½ð×ÊÖúÖÂл


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ÊÚȨºÅ

National Natural Science Foundation of China  
71171051

Funding of Jiangsu Innovation Program for Graduate Education  
KYLX_0213

²é¿´»ù½ð×ÊÖúÐÅÏ¢   




³ö°æÉÌ

ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS


Àà±ð / ·ÖÀà

Ñо¿·½Ïò:Mathematics; Mechanics; Physics

Web of Science Àà±ð:Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical


ÎÄÏ×ÐÅÏ¢

ÎÄÏ×ÀàÐÍ:Article

ÓïÖÖ:English

Èë²ØºÅ: WOS:000345700500087

ISSN: 1007-5704

eISSN: 1878-7274



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Impact Factor (Ó°ÏìÒò×Ó):  Journal Citation Reports&reg;


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IDS ºÅ: AU6GA

Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 19

Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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