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A Dynamic Trading Strategy Based on Conditional Value-at-risk

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posted on 2023-12-18, 15:56 authored by Weizhe Chen

This thesis studies two risk measurement methods, Value-at-Risk (VaR) method and Conditional-Value-at-Risk (CVaR) method. The concepts, prop- erties and calculation methods of VaR and CVaR method are introduced. On the basis of CVaR method, the mean-CVaR model is established. The thesis focuses on modeling a dynamic CVaR portfolio optimization problem based on the dynamic programming method. Moreover, a VaR constraint is added to the model, which strengthens the dynamic CVaR portfolio optimization. Through numerical analysis, the investment risk loss value and the portfolio investment ratio under the relevant confidence level can be obtained. From the results based on the real stock data, it is concluded that the risk of multi-stage portfolio investment is much smaller than that of single-stage investment. Finally, two other methods were selected for comparison. In summary, the CVaR method has a considerable rate of return and moderate risk. The thesis is wrapped up with a conclusion and future work.

History

Language

eng

Degree

  • Master of Science

Program

  • Applied Mathematics

Granting Institution

Ryerson University

LAC Thesis Type

  • Thesis

Thesis Advisor

You Liang & Foivos Xanthos

Year

2021

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    Applied Mathematics (Theses)

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