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 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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Publication Details

Journal
Mathematics
Published
2025-07-25
DOI
https://doi.org/10.3390/math13152398
Primary Topic
Credit Risk and Financial Regulations
Type
article
Field-Weighted Citation Impact
0.00

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article

Valuation of Credit-Linked Notes Under Government Implicit Guarantees

Xiaosong Qian, X.-N. Wang
Mathematics
Credit Risk and Financial Regulations
article

Valuation of Credit-Linked Notes Under Government Implicit Guarantees

Xiaosong Qian, X.-N. Wang
article en

Abstract

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.

MathematicsVol. 13(15)
Soochow University (CN)
National Natural Science Foundation of China, Hui-Chun Chin and Tsung-Dao Lee Chinese Undergraduate Research Endowment
Partnerships for the goals
Openalex Percentile: Top 74%
Credit Risk and Financial Regulations
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