中心极限定理表明，大量具有相同均值和方差的独立随机变量序列之和趋向于正态分布，且该正态分布均值等于随机变量平均 均值。在anzocapital交易里，投资者要获得正的平均收益，赚的钱要多于亏的钱，即盈利均值大于亏损均值，控制好风险，赚大 钱亏小钱。 构成中心极限定理需满足"大量的"和"独立的"条件。"大量的"要求投资者有资金资源进行大量交易，期货交易中很多投资者因重 仓难以长期"存活"，失去大量交易基础。"独立的"要求投资者有输得起的心态，不被过往交易的成败影响，专注当下交易。 在外汇交易中，anzocapital始终认为理解并运用这两大定律，对投资者至关重要。 你以为外汇交易只靠运气？其实anzocapital认为概率论才是关键，别再错下去！在外汇交易世界里，每一笔交易都充满不确定 性，可能盈利也可能亏损，盈利和亏损的额度也各有不同。每笔交易是否盈利以及盈利额都是随机的，但投资者不会只做一笔 交易。综合每一位投资者的所有交易来看，存在一定规律，从统计意义上可能恰好符合或近似符合大数定律和中心极限定律。 数学上，大数定律指当试验次数足够多时，事件发生的频率无穷接近于该事件发生的概率。在anzocapital认 ...

以下文章来源于硬AI ，作者专注科技产研的 硬AI . AI时代，快人一步~ 宏 观 经 济 与 企 业 盈 利 韧 性 强 于 宏 大 叙 事 报告首先分析了驱动市场的两个基本面因素： 经济增长和企业盈利 。 在经济增长方面 ，高盛预测美国2025年的GDP增速将放缓至1.3%，远低于近年来的水平，尤其是劳动力市场正运行在"失速状态"。 然而，他们预计经济将在2026年和2027年分别回归至1.8%和2.1%的趋势增长水平。 来源 | 硬AI 高盛对冲基金主管强调美股仍是牛市，但不要在当前高位盲目追涨。 9月11日，高盛对冲基金主管Tony Pasquariello研报指出， 当前AI驱动的美股科技巨头和宽松的货币财政政策是支撑牛市的两大支柱。然而，创 纪录的高估值与短期资金流入的减弱，预示着市场在短期内需要"盘整巩固" 。 Tony Pasquariello强调需要投资者保持耐心，不要与牛市对抗，但也不要在此高位追涨。 短期内可以考虑利用低成本期权进行对冲，为可能在 第四季度出现的下一波上涨行情做好准备。 更重要的是，报告强调，宽松的金融环境、强劲的财政支持、放松管制以及人工智能（AI）领域的资本支出热潮 ...

Core Viewpoint - The report emphasizes that the current AI-driven U.S. stock market is supported by two main pillars: technology giants and loose monetary and fiscal policies, but warns against blindly chasing high valuations as the market may need to consolidate in the short term [2][4]. Group 1: Macroeconomic and Corporate Earnings - Goldman Sachs predicts that U.S. GDP growth will slow to 1.3% by 2025, significantly lower than recent years, particularly as the labor market is in a "stalling state" [3]. - However, the economy is expected to return to trend growth levels of 1.8% and 2.1% in 2026 and 2027, respectively, supported by a loose financial environment, strong fiscal support, deregulation, and a surge in capital expenditure in the AI sector [4]. - Despite uncertainties such as tariffs, Goldman Sachs forecasts a steady 7% growth in S&P 500 earnings per share (EPS) for the next two years, reaching $262 and $280, respectively [4][5]. Group 2: Valuation and Capital Flows - The report highlights two warning signals for the short-term outlook of U.S. stocks: market valuation and capital flows [6]. - The S&P 500 index currently has a price-to-earnings ratio of 22 times based on expected earnings for the next 12 months, placing it in the 96th percentile since 1980, indicating a "harsh" valuation [7][8]. - The report notes that high valuations serve more as a "roadmap" for future returns rather than a short-term sell signal, as sustained high valuations have not prevented significant market gains in the past [9]. - Systematic trading funds are reported to be "quite saturated," and stock buybacks are expected to be limited in the coming months, suggesting that capital will not be the primary market driver in the short term [10]. Group 3: Key Variables - The report identifies three significant variables that could impact the market: the Federal Reserve, AI, and the law of large numbers [12]. - Goldman Sachs anticipates approximately five interest rate cuts by the Federal Reserve from now until mid-2026, which historically has been favorable for the S&P 500 index, advising not to go against the Fed, especially without an economic recession [14][15]. - AI is highlighted as a major swing factor, with ongoing debates about whether the market is in the early stages of a new era or experiencing significant capital misallocation since the tech bubble [16]. - The report acknowledges the exceptional performance of U.S. tech stocks but raises concerns about sustaining high growth rates at such large scales, using Nvidia as an example of the challenges faced [17][18].

本文作者：鲍奕龙 来源：硬AI 高盛对冲基金主管强调美股仍是牛市，但不要在当前高位盲目追涨。 9月11日，高盛对冲基金主管Tony Pasquariello研报指出，当前AI驱动的美股科技巨头和宽松的货币财政 政策是支撑牛市的两大支柱。然而，创纪录的高估值与短期资金流入的减弱，预示着市场在短期内需 要"盘整巩固"。 Tony Pasquariello强调需要投资者保持耐心，不要与牛市对抗，但也不要在此高位追涨。短期内可以考 虑利用低成本期权进行对冲，为可能在第四季度出现的下一波上涨行情做好准备。 报告特别指出企业盈利的强劲表现与悲观的宏观叙事形成了鲜明对比。 2025年上半年，在CEO们普遍感到不确定的环境下，"标普493"（剔除七巨头后的标普成分股）的盈利 同比增长了7%，而科技七巨头的盈利增速更是达到了惊人的28%。这表明，企业层面的盈利能力是支 撑市场的坚实基础。 估值与资金流：短期警报已经拉响 高盛对冲基金主管指出两大因素发出了美股的短期警告信：市场的估值和资金流。 宏观经济与企业盈利，韧性强于宏大叙事 报告首先分析了驱动市场的两个基本面因素：经济增长和企业盈利。 在经济增长方面，高盛预测美国2025 ...

Group 1 - The core viewpoint of the article emphasizes the harsh realities of the futures market, indicating that a significant majority of participants are unlikely to achieve long-term success, with estimates suggesting that only 0.1% will be profitable over three years and 0.01% over ten years [3][5][8] - In 2024, the domestic futures trading volume reached 619 trillion, with an estimated total fee of around 80 billion, leading to the disappearance of approximately 140,000 medium-sized accounts annually [6][7] - The article discusses the impact of the "Big and Beautiful" Act on commodity investments, particularly how it may reduce demand for industrial metals like silver and copper while benefiting traditional energy sources like crude oil [9][10] Group 2 - The article outlines the current market dynamics for various commodities, indicating that the futures market is predominantly long for financial indices and certain metals, while short positions dominate in others like paper pulp and pure alkali [12] - It highlights the potential for a rebound in the glass market driven by policy and sentiment, suggesting specific trading strategies for both long positions and hedging [20][21][22] - The discussion on copper emphasizes the tactical implications of tariffs and the need for a realistic understanding of market conditions, suggesting that the current situation is more about short-term volatility rather than long-term direction [15][16]