Properties of VaR and CVaR Risk Measures in High-Frequency Domain: Long–Short Asymmetry and Significance of the Power-Law Tail
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- Tetsuya Takaishi
- Department of Liberal Arts, Hiroshima University of Economics, Hiroshima 731-0192, Japan
書誌事項
- 公開日
- 2023-09-01
- 資源種別
- journal article
- 権利情報
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- https://creativecommons.org/licenses/by/4.0/
- DOI
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- 10.3390/jrfm16090391
- 公開者
- MDPI AG
説明
<jats:p>This study investigates the properties of risk measure, value at risk (VaR) and conditional VaR (CVaR), using high-frequency Bitcoin data. These data allow us to conduct a high statistical analysis. Our findings reveal a disparity in VaR and CVaR values between the left and right tails of the return probability distributions. We refer to this disparity as “long–short asymmetry”. In the high-frequency domain, the tail distribution can be accurately described by a power-law function. Moreover, the ratio of CVaR to VaR is expected to be determined solely by the power-law exponent. Through empirical analysis, we confirm that this ratio property holds true for high confidence levels. Furthermore, we investigate the relationship between risk measures (VaR and CVaR) and realized volatility. We observe that they trace a trajectory in a two-dimensional plane. This trajectory changes gradually, indicating periods of both high and low risk.</jats:p>
収録刊行物
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- Journal of Risk and Financial Management
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Journal of Risk and Financial Management 16 (9), 391-, 2023-09-01
MDPI AG
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詳細情報 詳細情報について
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- CRID
- 1360865814747136256
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- ISSN
- 19118074
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- 資料種別
- journal article
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE
