Next Article in Journal
Enhancing Radial Distribution System Performance Through Optimal Allocation and Sizing of Photovoltaic and Wind Turbine Distribution Generation Units with Rüppell’s Fox Optimizer
Previous Article in Journal
High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-Correlation
Previous Article in Special Issue
Conditional Coherent and Convex Risk Measures Under Uncertainty
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Valuation of Credit-Linked Notes Under Government Implicit Guarantees

1
School of Mathematical Sciences, Soochow University, Suzhou 215006, China
2
Center for Financial Engineering, Soochow University, Suzhou 215006, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(15), 2398; https://doi.org/10.3390/math13152398
Submission received: 9 July 2025 / Revised: 22 July 2025 / Accepted: 24 July 2025 / Published: 25 July 2025

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.
Keywords: credit-linked notes; structured model; dynamic default boundary; government implicit guarantee credit-linked notes; structured model; dynamic default boundary; government implicit guarantee

Share and Cite

MDPI and ACS Style

Wang, X.; Qian, X. Valuation of Credit-Linked Notes Under Government Implicit Guarantees. Mathematics 2025, 13, 2398. https://doi.org/10.3390/math13152398

AMA Style

Wang X, Qian X. Valuation of Credit-Linked Notes Under Government Implicit Guarantees. Mathematics. 2025; 13(15):2398. https://doi.org/10.3390/math13152398

Chicago/Turabian Style

Wang, Xinghui, and Xiaosong Qian. 2025. "Valuation of Credit-Linked Notes Under Government Implicit Guarantees" Mathematics 13, no. 15: 2398. https://doi.org/10.3390/math13152398

APA Style

Wang, X., & Qian, X. (2025). Valuation of Credit-Linked Notes Under Government Implicit Guarantees. Mathematics, 13(15), 2398. https://doi.org/10.3390/math13152398

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop