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Research Article | Open Access

Indifference valuation of non-performing loan-backed securities

Wanrong Mu1Congjin Zhou2( )
School of Mathematics and Finance, Chuzhou University, Chuzhou, 239000, China
School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou, 215006, China
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Abstract

This paper developed a unified framework for valuing non-performing loan (NPL)-backed securities under regime-switching macroeconomic conditions. The stochastic timing of NPL repayments were modeled by a Cox process with regime-dependent intensity, while investor risk aversion was incorporated through utility indifference pricing. Analytical solutions were obtained in a two-regime setting. Numerical results showed how risk aversion, repayment intensity, and macroeconomic state jointly affected the indifference price of NPL-backed securities.

CLC number: 91A15, 91G30

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AIMS Mathematics
Pages 23394-23410

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Cite this article:
Mu W, Zhou C. Indifference valuation of non-performing loan-backed securities. AIMS Mathematics, 2025, 10(10): 23394-23410. https://doi.org/10.3934/math.20251039

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Received: 15 August 2025
Revised: 20 September 2025
Accepted: 09 October 2025
Published: 15 October 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)