Signature of maturity in cryptocurrency volatility

Asim Ghosh, Soumyajyoti Biswas, Bikas K. Chakrabarti
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Abstract

We study the fluctuations, particularly the inequality of fluctuations, in cryptocurrency prices over the last ten years. We calculate the inequality in the price fluctuations through different measures, such as the Gini and Kolkata indices, and also the $Q$ factor (given by the ratio between the highest value and the average value) of these fluctuations. We compare the results with the equivalent quantities in some of the more prominent national currencies and see that while the fluctuations (or inequalities in such fluctuations) for cryptocurrencies were initially significantly higher than national currencies, over time the fluctuation levels of cryptocurrencies tend towards the levels characteristic of national currencies. We also compare similar quantities for a few prominent stock prices.
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加密货币波动的成熟标志
我们研究了过去十年中加密货币价格的波动,特别是波动的不平等性。我们通过基尼指数和加尔各答指数等不同指标来计算价格波动的不平等程度,以及这些波动的 Q$ 因子(由最高值和平均值之间的比值表示)。我们将结果与一些更重要的国家货币的同等数量进行了比较,发现虽然加密货币的波动(或这种波动的不平等)最初明显高于国家货币,但随着时间的推移,加密货币的波动水平趋向于国家货币的特征水平。我们还比较了一些著名股票价格的类似数量。
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