Risk assessment for synthetic GICs: a quantitative framework for asset–liability management

IF 1.4 Q3 SOCIAL SCIENCES, MATHEMATICAL METHODS
Behzad Alimoradian, Jeffrey Jakubiak, Stéphane Loisel, Yahia Salhi
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Abstract

This study addresses a research gap in quantitative modeling framework and scenario analysis for the risk management of stable value fund wraps, a crucial segment of the U.S. financial market with over USD $400 billion in assets. In this paper, we present an asset–liability model that encompasses an innovative approach to modeling the assets of fixed-income funds coupled with a liability model backed by empirical analysis on a unique data set covering 80% of the stand-alone plan sponsor market, contrasting with models based solely on regular deterministic cash flows and interest rate differences. Our model identifies and analyzes two critical risk scenarios from the insurer’s perspective: inflationary and yield spike. Our approach demonstrates that the tail risk of wraps, used as an economic capital measure, is sensitive to characteristic parameters of the fund, such as the duration, portfolio composition and credit quality of assets. This finding significantly differs from U.S. regulatory approaches like the NAIC’s, which often result in a zero capital requirement. These findings reveal limitations in current actuarial risk and profitability metrics for U.S. insurers and argue that a more sophisticated risk model reproducing the two critical scenarios is necessary.

Abstract Image

合成 GIC 的风险评估:资产负债管理的量化框架
稳定价值基金是美国金融市场的一个重要组成部分,资产规模超过 4000 亿美元,本研究填补了稳定价值基金风险管理定量建模框架和情景分析方面的研究空白。在本文中,我们提出了一个资产负债模型,该模型包含了一个固定收益基金资产建模的创新方法,以及一个负债模型,该模型以独特的数据集实证分析为支撑,覆盖了独立计划赞助商市场的 80%,与仅基于常规确定性现金流和利率差异的模型形成了鲜明对比。我们的模型从保险公司的角度识别并分析了两种关键风险情景:通货膨胀和收益率飙升。我们的方法表明,作为经济资本衡量标准的包装尾部风险对基金的特征参数非常敏感,如资产的期限、投资组合构成和信用质量。这一发现与美国的监管方法(如 NAIC 的监管方法)大相径庭,后者往往导致零资本要求。这些发现揭示了美国保险公司当前精算风险和盈利能力指标的局限性,并认为有必要建立一个更复杂的风险模型来再现两种关键情景。
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来源期刊
Decisions in Economics and Finance
Decisions in Economics and Finance SOCIAL SCIENCES, MATHEMATICAL METHODS-
CiteScore
2.50
自引率
9.10%
发文量
10
期刊介绍: Decisions in Economics and Finance: A Journal of Applied Mathematics is the official publication of the Association for Mathematics Applied to Social and Economic Sciences (AMASES). It provides a specialised forum for the publication of research in all areas of mathematics as applied to economics, finance, insurance, management and social sciences. Primary emphasis is placed on original research concerning topics in mathematics or computational techniques which are explicitly motivated by or contribute to the analysis of economic or financial problems.
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