Markowitz and Index Models for Optimizing Investment Portfolio Study During COVID-19 Pandemic

Wenxuan Lyu, Shi-En Cui, Tao Li
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Abstract

Due to the spread of COVID-19 which adversely affects the global economy, the financial market experiences huge changes. To help the investors have a better understanding of the risk in the market before investing, the paper uses the data for 10 stocks from 2001 to 2021 to find out the COVID-19 pandemic's influence on the investment portfolio We construct the Markowitz and Index models under 5 constraints, and then compare the results to illustrate the optimal decisions for investing. The Markowitz model considers expected return and risk, while not attaching enough importance to risk-free assets. The Index model is brief, but the assumption it uses does not have a major influence on the results obtained. Comparing the results, it is obvious that the return and standard deviation of Index model portfolios are higher than the Markowitz model's one. Moreover, the Markowitz performs better under most of the constraints.
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COVID-19大流行期间优化投资组合研究的Markowitz和指数模型
新冠肺炎疫情对全球经济产生不利影响,金融市场发生巨大变化。为了帮助投资者在投资前更好地了解市场风险,本文使用2001年至2021年10只股票的数据来研究COVID-19大流行对投资组合的影响,构建了5种约束条件下的Markowitz模型和Index模型,并对结果进行比较,以说明投资的最优决策。马科维茨模型考虑了预期收益和风险,而对无风险资产重视不够。Index模型很简短,但它使用的假设对得到的结果没有重大影响。比较结果可以看出,指数模型投资组合的收益率和标准差明显高于马科维茨模型。此外,马科维茨模型在大多数约束条件下表现更好。
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