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Quantitative Finance > Risk Management

arXiv:2508.06010 (q-fin)
[Submitted on 8 Aug 2025 ]

Title: A Time Series Model for Three Asset Classes used in Financial Simulator

Title: 用于金融模拟器的三种资产类别的时间序列模型

Authors:Andrey Sarantsev, Angel Piotrowski, Ian Anderson
Abstract: We create a dynamic stochastic general equilibrium model for annual returns of three asset classes: the USA Standard & Poor (S&P) stock index, the international stock index, and the USA Bank of America investment-grade corporate bond index. Using this, we made an online financial app simulating wealth process. This includes options for regular withdrawals and contributions. Four factors are: S&P volatility and earnings, corporate BAA rate, and long-short Treasury bond spread. Our valuation measure is an improvement of Shiller's cyclically adjusted price-earnings ratio. We use classic linear regression models, and make residuals white noise by dividing by annual volatility. We use multivariate kernel density estimation for residuals. We state and prove long-term stability results.
Abstract: 我们创建了一个动态随机一般均衡模型,用于三个资产类别的年度回报:美国标准普尔(S&P)股票指数、国际股票指数和美国美国银行投资级公司债券指数。 使用这个模型,我们开发了一个在线金融应用程序,模拟财富过程。 这包括定期提款和存款的选项。 四个因素是:S&P波动率和收益、公司BAA利率以及长期短期国债利差。 我们的估值指标是对Shiller的周期调整市盈率的改进。 我们使用经典的线性回归模型,并通过除以年度波动率使残差变为白噪声。 我们对残差使用多元核密度估计。 我们陈述并证明了长期稳定性结果。
Comments: 25 pages, 7 figures, 13 tables
Subjects: Risk Management (q-fin.RM) ; Probability (math.PR); Applications (stat.AP)
MSC classes: 91B84, 91G30, 62P05, 62M10
Cite as: arXiv:2508.06010 [q-fin.RM]
  (or arXiv:2508.06010v1 [q-fin.RM] for this version)
  https://doi.org/10.48550/arXiv.2508.06010
arXiv-issued DOI via DataCite

Submission history

From: Andrey Sarantsev [view email]
[v1] Fri, 8 Aug 2025 04:42:44 UTC (491 KB)
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