arXiv:2510.21347cs.LGq-fin.RM2025-10

用神经网络提升小规模抵押债券收益率曲线估计的稳定性与准确性

Robust Yield Curve Estimation for Mortgage Bonds Using Neural Networks

  • 基于神经网络构建每日独立的收益率曲线估计框架
  • 新损失函数使曲线更平滑稳定,尤其适用于数据稀疏噪声多的场景
  • 支持加入风险中性基准等领域约束,适合金融实务人员灵活调整

稳健的收益率曲线估计对固定收益市场中的定价准确、风险管理和交易策略至关重要。传统方法如折现法和参数化Nelson-Siegel模型在基础债券稀少、价格波动大或含难以去除的噪声时,常出现过拟合或不稳定的缺陷。本文提出一种面向小型抵押债券市场的神经网络框架,每日独立估计收益率曲线,并引入新损失函数以强化平滑性和稳定性,应对数据有限且嘈杂的挑战。在瑞典抵押债券上的实证结果表明,该方法相比Nelson-Siegel-Svensson(NSS)和核岭回归(KR)等现有方法,能生成更稳健、更稳定的收益率曲线。此外,该框架支持融入领域特定约束(如与无风险基准对齐),使从业者可根据需求权衡曲线平滑性与精度。

原文摘要 · Abstract (English)

Robust yield curve estimation is crucial in fixed-income markets for accurate instrument pricing, effective risk management, and informed trading strategies. Traditional approaches, including the bootstrapping method and parametric Nelson-Siegel models, often struggle with overfitting or instability issues, especially when underlying bonds are sparse, bond prices are volatile, or contain hard-to-remove noise. In this paper, we propose a neural networkbased framework for robust yield curve estimation tailored to small mortgage bond markets. Our model estimates the yield curve independently for each day and introduces a new loss function to enforce smoothness and stability, addressing challenges associated with limited and noisy data. Empirical results on Swedish mortgage bonds demonstrate that our approach delivers more robust and stable yield curve estimates compared to existing methods such as Nelson-Siegel-Svensson (NSS) and Kernel-Ridge (KR). Furthermore, the framework allows for the integration of domain-specific constraints, such as alignment with risk-free benchmarks, enabling practitioners to balance the trade-off between smoothness and accuracy according to their needs.

收益率曲线神经网络抵押债券

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。