Modeling the yield curve of Burundian bond market by parametric models

Rédempteur Ntawiratsa, David Niyukuri, Irène Irakoze, Menus Nkurunziza
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Abstract

The term structure of interest rates (yield curve) is a critical facet of financial analytics, impacting various investment and risk management decisions. It is used by the central bank to conduct and monitor its monetary policy. That instrument reflects the anticipation of inflation and the risk by investors. The rates reported on yield curve are the cornerstone of valuation of all assets. To provide such tool for Burundi financial market, we collected the auction reports of treasury securities from the website of the Central Bank of Burundi. Then, we computed the zero-coupon rates, and estimated actuarial rates of return by applying the Nelson-Siegel and Svensson models. This paper conducts a rigorous comparative analysis of these two prominent parametric yield curve models and finds that the Nelson-Siegel model is the optimal choice for modeling the Burundian yield curve. The findings contribute to the body of knowledge on yield curve modeling, enhancing its precision and applicability in financial markets. Furthermore, this research holds implications for investment strategies, risk management, second market pricing, financial decision-making, and the forthcoming establishment of the Burundian stock market.
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用参数化模型对布隆迪债券市场收益率曲线进行建模
利率的期限结构(收益率曲线)是金融分析的一个重要方面,影响着各种投资和风险管理决策。它被中央银行用来指导和监督其货币政策。这一工具反映了投资者对通胀和风险的预期。收益率曲线上显示的利率是所有资产估值的基础。为了给布隆迪金融市场提供这样的工具,我们从布隆迪中央银行的网站上收集了国库券的拍卖报告。然后,我们计算了零息利率,并应用Nelson-Siegel和Svensson模型估计了精算收益率。本文对这两种重要的参数化收益率曲线模型进行了严格的对比分析,发现Nelson-Siegel模型是布隆迪收益率曲线建模的最佳选择。这些发现有助于建立收益率曲线模型的知识体系,提高其在金融市场中的准确性和适用性。此外,本研究对投资策略、风险管理、第二市场定价、财务决策以及即将建立的布隆迪股票市场具有启示意义。
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