Core Viewpoint - The article discusses the relationship between volatility and risk, emphasizing that understanding volatility is crucial for becoming an excellent investor, as it is a tangible risk rather than a mere psychological issue [8][40]. Academic Perspective: Volatility = Risk - The Sharpe Ratio is highlighted as a key metric for evaluating fund performance, indicating that returns should be assessed in relation to the risks taken [10]. - Traditional financial theories define risk as the uncertainty of future returns, represented by price volatility [11]. - Historical examples illustrate that even if an investor believes in a company's future recovery, immediate financial needs can force them to sell at a loss due to volatility [12]. - The article argues that higher volatility necessitates higher expected returns as compensation, exemplified by the comparison of different funds and their respective drawdowns during market adjustments [14][15]. Practical Perspective: Volatility ≠ Risk - Warren Buffett's perspective is presented, asserting that volatility does not equate to risk; instead, the true risk is the permanent loss of capital [18][21]. - Buffett emphasizes that good companies can have high volatility without being poor investments, while low volatility can accompany poor business performance [19]. - The article notes that Buffett's views on volatility have evolved, initially seeing it as a source of profit but later recognizing it as a neutral concept [23][26]. Trading Perspective: Volatility = Return - The article discusses how risk-averse investors dislike volatility, while risk-seeking investors view it as an opportunity for returns [28][30]. - It explains that volatility can be treated as a tradable commodity, with strategies like options trading reflecting this dynamic [31][32]. - The article highlights that different trading strategies exist based on attitudes towards volatility, such as trend trading and grid trading, each with its own risk and return profiles [36][38]. Conclusion - The article concludes that volatility is an inherent aspect of the financial world, prompting investors to distinguish between what can be controlled and what cannot, as well as what can be judged and what cannot [44].

Core Concept - The article emphasizes the importance of understanding the "collaboration" between assets in investment allocation, which is mathematically represented by "correlation" [3][4]. Asset Allocation Principles - Ideal investment portfolios should consist of assets with varying correlations: assets with a correlation close to +1 move together, those with a correlation close to -1 move inversely, and those with a correlation close to 0 operate independently [4]. - The modern portfolio theory proposed by Nobel laureate Harry Markowitz suggests that scientific diversification can significantly reduce risk without sacrificing returns [4]. Mathematical Framework - For perfectly negatively correlated assets (correlation of -1), the allocation ratio should be inversely proportional to their volatility. If two funds have the same volatility, equal allocation is appropriate [5][7]. - If the volatilities differ, the allocation should favor the asset with lower volatility. For example, if Fund A has a volatility of 10% and Fund B has 30%, the optimal allocation would be 75% in Fund A and 25% in Fund B [7]. - For assets with a correlation close to 0, the allocation ratio should be inversely proportional to the square of their volatility. This allows for optimization of the risk-return profile even among uncorrelated assets [10][13]. Investment Insights - Including negatively correlated assets in a portfolio can effectively reduce overall volatility. While perfectly negatively correlated assets are rare, seeking low or negatively correlated assets remains a valid strategy for optimizing investment portfolios [9]. - The article illustrates that even with uncorrelated assets, appropriate weight allocation can enhance the risk-return ratio. For instance, a combination of five uncorrelated assets can reduce volatility significantly compared to individual assets [15]. Addressing Concerns about Returns - The article argues that proper asset allocation does not diminish returns; rather, it can stabilize and enhance them. The key is to select high-performing assets rather than diversifying for the sake of it [17]. - Examples provided include combining U.S. stocks with A-shares, both of which have long-term annualized returns of around 8-10%, resulting in a stable combined return while reducing volatility [17]. Practical Guidelines for Portfolio Construction - Step 1: Diversify across major asset classes such as stocks (high long-term returns, high volatility), bonds (stable returns, low volatility), and commodities (inflation hedge) [21]. - Step 2: Diversify by region and strategy, investing in various markets and styles to mitigate risks [21]. - Step 3: Regularly rebalance the portfolio to maintain the desired asset allocation, selling portions of assets that have appreciated significantly and buying those that have declined [21].

Group 1 - The core argument of the article is that while index ETF dollar-cost averaging (DCA) is a popular method for novice investors, it has limitations that can lead to significant losses if not managed properly [3][5][7] - DCA primarily serves to smooth out buying costs and reduce timing risks rather than to enhance expected returns [9][12] - The article emphasizes that many investors tend to enter the market at high points, which can lead to losses despite the overall market rising [10][11] Group 2 - DCA helps mitigate the risks associated with market volatility by allowing investors to buy in increments, thus avoiding the pitfalls of investing a large sum at a market peak [12][13] - Research indicates that DCA investors have a lower rate of loss or redemption compared to those who invest a lump sum, leading to returns that are closer to the index itself [14] - The article suggests that DCA can be improved by adjusting investment amounts based on market conditions, such as increasing contributions when prices are below the annual average [16][18] Group 3 - The article discusses the diminishing effectiveness of DCA over time, as the ratio of incremental investments to existing investments changes, making the cost-averaging effect less significant [25][26] - To maintain the benefits of DCA, investors are encouraged to either increase their investment amounts or integrate DCA funds into a broader asset management strategy [27][28] - The concept of asset allocation is introduced, highlighting the importance of diversification to manage risk effectively [30][35] Group 4 - The article concludes that DCA is suitable for incremental funds, while asset allocation strategies should be prioritized for existing wealth, especially for high-net-worth individuals [36]

Core Viewpoint - The trend of declining deposit rates in China is driving residents' asset allocation behavior towards "yield chasing," with increasing investment willingness in high-yield risk assets [1] Group 1: Investment Trends - Asian high-yield bonds are gaining attention due to their leading global yields and relatively controllable default risks [1] - East Asia United Investment Management Company aims to capture the growth potential of high-yield bonds by flexibly adjusting the allocation between high-yield and investment-grade bonds [1] Group 2: Risk and Return Analysis - Asian high-yield bonds offer significantly higher yields compared to global counterparts, with shorter durations and lower volatility [1] - The credit quality of Asian high-yield bonds is relatively stable, with an overall low default rate, making them a viable option for risk diversification [1] Group 3: Macroeconomic Outlook - The current positive economic growth in Asia is expected to support the operational capabilities of issuing companies, enhancing their ability to repay principal and interest [1] - The outlook suggests that many central banks may maintain accommodative monetary policies, further highlighting the allocation value of Asian high-yield bonds [1]

以下文章来源于量化投资 ，作者十拳剑灵 量化投资 . 十拳剑灵｜用数据做多元配置 • 百万实盘翻倍全程公开｜追求年年稳健盈利 • 陪你穿越牛熊 • 一起慢慢变富 " 资产配置 " 听起来很高大上？别怕，其实它的数学原理超级简单！今天我就用最接地气的方式，带你看懂这个让投资收益更稳的秘诀。 我知道你在担心什么： 怕数学太难？怕分散投资会降低收益？ 放心，这些问题我都会帮你解决！ 01 核心概念：理解资产间的 " 团队协作 " 想要做好资产配置，关键要懂资产之间的 " 协作关系 "— 用数学语言说就是 " 相关性 " 。这就像 组建一个全能团队 ： · 同一工种 （相关系数接近 +1 ）：好比团队里全是销售，市场好时一起开单，市场差时一起喝西北风 —— 同涨同跌 · 完美搭档 （相关系数接近 -1 ）：就像销售和风控，业务开拓时销售冲锋，风险来临时风控守护 —— 你进我退，相辅相成 · 各司其职 （相关系数接近 0 ）：如同技术、运营、市场不同部门，各自为战又共同目标 —— 走势独立，互补共赢 理想的投资组合，就是要组建这样的 " 梦幻团队 " 。这背后的数学原理，是诺贝尔奖得主马科维茨提出的现代投资组合理论： ...

Core Insights - The evolution of China's asset management industry has been rapid, akin to a "4x speed" development since the establishment of the Shanghai Stock Exchange in 1990, transitioning from a "wild west" era to a more structured environment with institutional investors leading value investment [4][7] - The introduction of the "Action Plan for Promoting High-Quality Development of Public Funds" by the China Securities Regulatory Commission emphasizes enhancing investor "sense of gain," which includes clear product positioning, adherence to strategies, and balancing returns with risk [4][5][7] - The historical context of Wall Street's development provides valuable lessons for China's asset management industry, highlighting the transition from informal practices to professional, rule-based, and systematic investment strategies [7] Investment Strategies - The U.S. market has seen the emergence of three core investment strategies: active, passive, and quantitative, with passive investment gaining significant traction, surpassing active investment in scale by 2023 [2][3] - Active fund managers are increasingly adopting a combination of qualitative and quantitative approaches to mitigate risks and enhance returns, with firms like Capital Group and Vanguard implementing multi-manager models to diversify strategies [3] - The Modern Portfolio Theory suggests that combining multiple strategies with different risk profiles can lead to higher risk-adjusted returns, which is crucial for achieving investor satisfaction [5][6] Technological Integration - The integration of AI technology in investment strategies is seen as a key lever for fund managers to enhance their capabilities, allowing them to automate and optimize various aspects of strategy development and execution [6] - AI can assist in tasks such as factor definition, calculation, effectiveness analysis, and strategy backtesting, enabling fund managers to focus on strategic insights while leveraging technology for operational efficiency [6] Future Outlook - The "Action Plan for Promoting High-Quality Development of Public Funds" is viewed as a milestone in the maturation of China's asset management industry, signaling a shift towards prioritizing client interests and adopting scientific, rule-based investment strategies [7] - The evolution of the industry is expected to follow a natural progression from disorder to a more structured and systematic approach, particularly in the context of the AI era [7]

Core Viewpoint - Volatility is not risk itself; the true risk is "permanent loss." However, volatility manifests as risk, triggering investor fear and behavioral biases, turning risk into reality and providing opportunities for counterparties to profit [4][38]. Group 1: Perspectives on Volatility - Three views on volatility have emerged: 1. Risk-averse investors see volatility as risk that needs to be avoided [5]. 2. Risk-seeking investors view volatility as a source of returns that should be embraced [6]. 3. Value investors consider volatility to be neutral, with investment risk stemming solely from operational risks leading to permanent losses [7][39]. Group 2: Academic Perspective - The Sharpe Ratio, a key metric for assessing fund performance, emphasizes that returns should be evaluated against the risks taken to achieve them [17]. - Traditional financial theories, such as Markowitz's Modern Portfolio Theory, define risk as the uncertainty of future returns, represented by price volatility [18]. - Historical price fluctuations can create a false sense of security, as investors may not recognize the potential for future losses during periods of volatility [19][20]. Group 3: Practical Perspective - Warren Buffett has explicitly rejected the notion that volatility equates to risk, emphasizing that the most significant risk is the permanent loss of capital [24][26]. - Buffett's investment philosophy focuses on the intrinsic value of companies, viewing short-term volatility as mere "noise" that does not pose a substantial threat unless forced to sell at a loss [27]. Group 4: Trading Perspective - The view that "volatility equals returns" stems from the fact that many investors dislike uncertainty and volatility, particularly large funds [29]. - High volatility assets often trade at a discount, reflecting the risk aversion of investors, while the actual risk remains objectively present [30][31]. - Volatility can be treated as a tradable commodity, with strategies like options trading reflecting the relationship between volatility and risk [32][33]. Group 5: Nature of Volatility - Volatility is an inherent aspect of the financial world, reminding investors of the constant changes and the need to distinguish between what can and cannot be controlled [42].

Core Viewpoint - The article discusses the relationship between volatility and risk, emphasizing that while volatility is often equated with risk, it can also represent potential returns depending on the investor's perspective [6][34]. Group 1: Academic Perspective on Volatility - Volatility is defined as risk in traditional finance, where it represents the uncertainty of future returns [7][9]. - The Sharpe Ratio is highlighted as a key metric for evaluating fund performance, taking into account the risk taken to achieve returns [8][10]. - Historical volatility is used to quantify risk, with higher volatility indicating greater risk and necessitating higher expected returns [11][12]. Group 2: Practical Perspective on Volatility - Warren Buffett and other value investors argue against equating volatility with risk, focusing instead on the risk of permanent capital loss [15][18]. - The article presents a dichotomy where risk-averse investors view volatility as something to avoid, while risk-seeking investors see it as an opportunity for profit [23][34]. - Different investment strategies are discussed, including those that embrace volatility for potential gains, such as grid trading and trend trading [31][32]. Group 3: Trading Perspective on Volatility - Volatility can be viewed as a tradable commodity, with options pricing reflecting historical volatility [26][27]. - The article explains that risk is a commodity that can be bought and sold, with different strategies catering to varying attitudes towards volatility [25][28]. - The concept of "volatility = returns" is explored, indicating that higher volatility can lead to greater profit opportunities for certain investors [22][24]. Group 4: Conclusion on Volatility - The article concludes that volatility is an inherent aspect of the financial world, influencing investor behavior and creating opportunities for profit [39][40]. - It emphasizes the importance of understanding what can be controlled and what cannot in the context of volatility and investment strategies [38][39].

Group 1 - The article discusses the importance of understanding volatility in investment, emphasizing that it is a significant risk factor that can impact investor returns [3][4][11] - It contrasts two funds: Fund A with a 15% annualized return but high volatility, and Fund B with a 10% return and low volatility, suggesting that investors in Fund B may achieve better average returns due to lower drawdowns [10][11] - The article highlights that while volatility is often viewed as a risk, some investment experts, like Warren Buffett, argue that it should not be equated with risk, focusing instead on the risk of permanent capital loss [12][14] Group 2 - The article explains that volatility can be seen as a source of potential returns, particularly in trading strategies that embrace market fluctuations [15][20] - It outlines different investor attitudes towards volatility: risk-averse investors view it as a risk to avoid, while risk-seeking investors see it as an opportunity for profit [23][24] - The discussion includes various trading strategies that leverage volatility, such as grid trading and trend trading, which require different approaches to managing risk and returns [20][22]

Core Insights - Warren Buffett, beyond being a billionaire, symbolizes a stable investment philosophy, with Berkshire Hathaway's market value exceeding $1.16 trillion as of 2024, encompassing over 80 subsidiaries across various sectors [2] - Buffett's private letter to his wife before donating $100 billion reveals the essence of wealth management, advocating for a simple investment strategy: 10% in short-term government bonds and 90% in a low-cost S&P 500 index fund [2] Investment Strategy - The 10% allocation to short-term government bonds serves as a "risk buffer," backed by the U.S. government, providing stable cash flow during economic downturns [3] - The 90% investment in a low-cost S&P 500 index fund is a bet on "long-term compounding" and "economic growth," with a historical annualized return of 10.4% over the past 60 years [3] Cost Efficiency - Buffett's focus on "low cost" challenges the high fees associated with actively managed funds, which often charge 1%-2% annual management fees, and some hedge funds charge "2% management fee + 20% performance fee" [4] - His 2007 "bet" against top hedge funds demonstrated that high fees can erode excess returns, making low-fee index funds a better choice for ordinary investors [4] Behavioral Insights - Buffett's statement "you will do well" redefines the purpose of investing, emphasizing that the core of investment is not about becoming wealthy quickly but avoiding permanent loss [4][5] - This aligns with behavioral finance theories, where the pain of loss is significantly greater than the pleasure of gains, highlighting the importance of risk management [4] Wealth Transfer Philosophy - Buffett's approach to wealth transfer emphasizes transparency and the avoidance of "wealth curse," ensuring that children inherit enough to pursue their goals without becoming dependent on wealth [5][6] - His estate planning reflects a commitment to philanthropy, with 96% of his $30 billion estate donated to charity, leaving each child with $10 million [5] Long-Term Investment Perspective - Buffett's investment strategy focuses on long-term holdings, with core positions in companies like Apple and Coca-Cola held for over a decade, demonstrating trust in business value rather than market fluctuations [6] - His philosophy encourages investors to prioritize value assessment over complex trading techniques, advocating for a simplified approach to investing [6][7]