Valuation of Credit-Linked Notes Under Government Implicit Guarantees

Credit-linked notes (CLNs) are vital for transferring and diversifying credit risks in asset securitization, yet their application in China remains limited despite policy support. This paper optimizes China’s CLN pricing mechanism by developing the structured model incorporating the dynamic default...

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Main Authors: Xinghui Wang, Xiaosong Qian
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/15/2398
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author Xinghui Wang
Xiaosong Qian
author_facet Xinghui Wang
Xiaosong Qian
author_sort Xinghui Wang
collection DOAJ
description Credit-linked notes (CLNs) are vital for transferring and diversifying credit risks in asset securitization, yet their application in China remains limited despite policy support. This paper optimizes China’s CLN pricing mechanism by developing the structured model incorporating the dynamic default boundary and the probability of government implicit guarantees. The model transforms the pricing problem into a semi-unbounded problem via partial differential methods, yielding an explicit pricing solution through Poisson’s formula. Empirical analysis reveals that government implicit guarantees are observed in systemically important institutions in the domestic CLN market and significantly reduce credit risk premiums, with Monte Carlo simulations indicating an approximately positive linear correlation between guarantee probability and CLN prices. Our results demonstrate the dual impact of implicit guarantees—lowering risk premiums while potentially hindering market discipline. This research advances China’s credit derivative pricing theory, offering institutions a pricing tool and further providing policy and practical suggestions for regulatory authorities.
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spelling doaj-art-fd17b676afd34c3db8b69bd067e481b12025-08-20T03:36:34ZengMDPI AGMathematics2227-73902025-07-011315239810.3390/math13152398Valuation of Credit-Linked Notes Under Government Implicit GuaranteesXinghui Wang0Xiaosong Qian1School of Mathematical Sciences, Soochow University, Suzhou 215006, ChinaSchool of Mathematical Sciences, Soochow University, Suzhou 215006, ChinaCredit-linked notes (CLNs) are vital for transferring and diversifying credit risks in asset securitization, yet their application in China remains limited despite policy support. This paper optimizes China’s CLN pricing mechanism by developing the structured model incorporating the dynamic default boundary and the probability of government implicit guarantees. The model transforms the pricing problem into a semi-unbounded problem via partial differential methods, yielding an explicit pricing solution through Poisson’s formula. Empirical analysis reveals that government implicit guarantees are observed in systemically important institutions in the domestic CLN market and significantly reduce credit risk premiums, with Monte Carlo simulations indicating an approximately positive linear correlation between guarantee probability and CLN prices. Our results demonstrate the dual impact of implicit guarantees—lowering risk premiums while potentially hindering market discipline. This research advances China’s credit derivative pricing theory, offering institutions a pricing tool and further providing policy and practical suggestions for regulatory authorities.https://www.mdpi.com/2227-7390/13/15/2398credit-linked notesstructured modeldynamic default boundarygovernment implicit guarantee
spellingShingle Xinghui Wang
Xiaosong Qian
Valuation of Credit-Linked Notes Under Government Implicit Guarantees
Mathematics
credit-linked notes
structured model
dynamic default boundary
government implicit guarantee
title Valuation of Credit-Linked Notes Under Government Implicit Guarantees
title_full Valuation of Credit-Linked Notes Under Government Implicit Guarantees
title_fullStr Valuation of Credit-Linked Notes Under Government Implicit Guarantees
title_full_unstemmed Valuation of Credit-Linked Notes Under Government Implicit Guarantees
title_short Valuation of Credit-Linked Notes Under Government Implicit Guarantees
title_sort valuation of credit linked notes under government implicit guarantees
topic credit-linked notes
structured model
dynamic default boundary
government implicit guarantee
url https://www.mdpi.com/2227-7390/13/15/2398
work_keys_str_mv AT xinghuiwang valuationofcreditlinkednotesundergovernmentimplicitguarantees
AT xiaosongqian valuationofcreditlinkednotesundergovernmentimplicitguarantees