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arXiv 2211.00528q-fin.CPq-fin.MF
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一种新的量化波动预测方法

A novel approach to quantify volatility prediction

Suchetana Sadhukhan, Shiv Manjaree Gopaliya, Pushpdant Jain

摘要:

对金融市场波动性的预测有助于了解投资的收益和风险。然而,由于时间序列中的不规则性、高波动性和噪声,预测波动性构成了一项具有挑战性的任务。在最近的COVID-19疫情中,使用复杂智能技术进行波动预测吸引了全球研究人员的极大关注。在本文中,一种新的和简单的方法的基础上的鲁棒最小二乘方法在两种方法a)与最小绝对残差(LAR)和b)没有LAR,已被应用到芝加哥期权交易所(CBOE)波动率指数(VIX)为期十年。为了进行更深入的分析,波动率时间序列被分解为长期趋势、季节性波动和随机波动。将数据集分为训练数据集和测试数据集。使用均方根误差(RMSE)值实现了验证结果。结果表明,稳健最小二乘法结合LAR方法对波动率(RMSE = 0.01366)及其分量(长期趋势(RMSE = 0.10087)、季节性(RMSE = 0.010343)和剩余波动(RMSE = 0.014783))的预测效果较好。首次提出了波动率及其三个分量的广义预测方程。在这一领域工作的年轻研究人员可以直接使用所提出的预测方程来理解他们的数据集。

英文摘要:

Volatility prediction in the financial market helps to understand the profit and involved risks in investment. However, due to irregularities, high fluctuations, and noise in the time series, predicting volatility poses a challenging task. In the recent Covid-19 pandemic situation, volatility prediction using complex intelligence techniques has attracted enormous attention from researchers worldwide. In this paper, a novel and simple approach based on the robust least squares method in two approaches a) with least absolute residuals (LAR) and b) without LAR, have been applied to the Chicago Board Options Exchange (CBOE) Volatility Index (VIX) for a period of ten years. For a deeper analysis, the volatility time series has been decomposed into long-term trends, and seasonal, and random fluctuations. The data sets have been divided into parts viz. training data set and testing data set. The validation results have been achieved using root mean square error (RMSE) values. It has been found that robust least squares method with LAR approach gives better results for volatility (RMSE = 0.01366) and its components viz. long term trend (RMSE = 0.10087), seasonal (RMSE = 0.010343) and remainder fluctuations (RMSE = 0.014783), respectively. For the first time, generalized prediction equations for volatility and its three components have been presented. Young researchers working in this domain can directly use the presented prediction equations to understand their data sets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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