我们还要多久才会认为比特币幂律模型无效?
随着现货比特币价格与幂律之间的差距不断扩大,投资者开始质疑均值回归是否即将到来,抑或另一种基石模型正走向终结。

需要了解的:
- 比特币在本周期内大体上遵循了其长期的幂律趋势,尽管目前的交易价格约低于该模型32%。
- 早期的模型如库存流量模型(stock to flow)已被证明失败,其当前隐含估值接近每枚比特币130万美元
在足够长的时间范围内,每一个比特币的长期估值模型最终都会被打破,然而在本周期中保持最强叙事性的模型是幂律模型.
从历史上看,在以往的周期中,比特币在牛市阶段往往会超出该模型,而在熊市阶段则会跌破该模型,但在当前周期中,价格基本上保持在该模型轨迹的附近。
比特币幂律框架提供了长期价格趋势的数学视角,揭示了比特币的历史表现在线性对数尺度上遵循幂律分布。这意味着时间与价格之间存在一种关系。然而,该模型依赖于历史观察数据。
理论上,这是一个回顾性的模型,不能保证未来的预测准确性,尤其考虑到金融市场的不可预测性。该模型有助于理解长期的结构性趋势。
在90,000美元以下,比特币目前的交易价格相较于模型呈现出明显折价。幂律估值约为118,000美元,这使得现货价格大约比模型低32%。这是自2024年8月日元套息交易清算以来最大的偏差,当时偏差达35%,并且花费了三个月的时间才得以恢复。
从更广泛的角度来看,比特币在本轮周期中大部分时间都紧跟模型走势,而在以往的周期中,其价格偏离模型的幅度则更为剧烈,既有明显高于模型的情况,也有明显低于模型的情况。
在上一个周期中,最突出且备受关注的模型是库存到流量框架「 由匿名分析师 Plan B 创建,假设稀缺性直接驱动价值。该模型自 2021 年 1 月起已失效,且根据当前 」Glassnode 数据 这意味着今日比特币的价格大约为130万美元。
当前的关键问题在于,比特币是会回归到幂律趋势的均值,还是会跌破这一趋势,进而挑战另一项长期存在模型的有效性。

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