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Valuation of Credit-Linked Notes Under Government Implicit Guarantees

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  • Xinghui Wang

    (School of Mathematical Sciences, Soochow University, Suzhou 215006, China)

  • Xiaosong Qian

    (School of Mathematical Sciences, Soochow University, Suzhou 215006, China
    Center for Financial Engineering, Soochow University, Suzhou 215006, China)

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.

Suggested Citation

  • Xinghui Wang & Xiaosong Qian, 2025. "Valuation of Credit-Linked Notes Under Government Implicit Guarantees," Mathematics, MDPI, vol. 13(15), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:15:p:2398-:d:1710243
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    References listed on IDEAS

    as
    1. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    2. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
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