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Assumptions of Quantitative Investing

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@lhzxbsdr · Mar 1, 10:29 PM

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Gemini

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量化投资与市场有效性金融市场基础理论

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lhzsbsdr

Is it a consensus in quantitative investing that market ups and downs are unpredictable?

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"Market ups and downs are unpredictable" is not an absolute 'yes' or 'no' consensus in the field of quantitative investing, but rather a ‌'basic assumption'‌ with strong nuances.In simple terms, the consensus in quantitative investing is: Single, specific market ups and downs (Point Prediction) are almost unpredictable, but through the law of large numbers, the probabilistic characteristics of market price distributions (Probabilistic Edge) can be predicted and profitable.‌Here is a detailed analysis of the divergences and consensus in the quantitative investment community regarding 'market predictability':### 1. Core Consensus: Acknowledging 'Most' Unpredictability (Efficient Market Hypothesis)

Quantitative investors generally accept a practical version of the Weak Efficient Market Hypothesis (Weak EMH)‌‌:### 2. Practical Revision: Pursuing 'Slight Statistical Edge'While acknowledging 'unpredictability' as the norm, the existence of quantitative investing itself is based on the premise that ‌'the market is not completely random'‌‌. Their 'prediction' is fundamentally different from what retail investors understand as 'prediction':

维度 散户/传统视角的“预测”量化视角的“预测”
目标猜对下一次是涨还是跌 估算上涨的概率是 51% 还是 49%
频率低频,重仓几次大机会 高频,在成千上万次交易中累积微利
性质确定性思维(非黑即白)概率思维(分布与期望)
比喻‌“我也许能猜中硬币的正反面”“我有枚硬币,正面朝上的概率是50.5%,我要抛一万次”

Export to Sheets* Win rate game:‌ The famous quantitative fund WorldQuant has revealed that their models have an average win rate of only 51%-53%‌‌. This means they admit to being 'wrong' nearly half the time‌, but as long as the number of trades is sufficient (law of large numbers), this slight edge can translate into massive returns.### 3. Differences in Views Across SchoolsDifferent quantitative strategies have varying degrees of reliance on 'predictability':### 4. Authoritative Views: Is the Market Becoming 'Harder to Predict'??### SummaryThe true meaning of 'market ups and downs are unpredictable' in the quant circle is:‌Don't try to play God to foresee the future; instead, like a casino dealer, use mathematical models to find those slight opportunities with win rates slightly above 50%‌‌, strictly control risk, and let probability be on your side.‌For individual investors, this is indeed a consensus warning:‌ If even quantitative funds with top mathematicians and supercomputers only dare to pursue a 51% win rate, ordinary investors trying to get rich by 'predicting ups and downs' is like barking up the wrong tree.‌One step I can take for you:‌ If you're interested in this mindset, I can explain in detail how the Kelly Criterion is used in quantitative investing to decide 'since predictions are inaccurate, how much to bet each time.'

lhzsbsdr

Can different quantitative strategies rely on mutually conflicting assumptions?

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This is a very profound question. The answer is: Yes, absolutely, and this is exactly the 'holy grail' pursued by quantitative hedge funds (Multi-Strategy Hedge Funds).‌In quantitative investing, different strategies not only can rely on mutually conflicting assumptions, but excellent portfolio managers will deliberately seek strategies with mutually exclusive assumptions, because this brings low correlation (Low Correlation)‌ or even negative correlation, greatly improving the portfolio's Sharpe Ratio.Here are several typical 'mutually exclusive assumption' cases and why they can coexist:### 1. Momentum vs. Reversion (Mean Reversion)

This is the most classic pair of 'arch-enemies,' with completely opposite underlying logic:‌Conflict point:‌ When a stock rises rapidly, the momentum model signals 'buy,' while the reversion model may signal 'short.' Why coexist:‌1. Different time cycles:‌ Mean reversion is usually effective in very short cycles (minutes/hours) or very long cycles (3-5 years); momentum is strongest in medium-frequency cycles (3-12 months). Quant funds can do reversion at minute level and momentum at monthly level, without interference.2. Hedging risk:‌ When the market has a big trend, reversion strategies lose money, momentum strategies make big gains; when the market oscillates, momentum strategies get 'slapped back and forth,' reversion strategies print money wildly. Combined, the equity curve becomes very smooth.### 2. Value vs. Growth/MomentumIn fundamental quant, this contradiction is particularly evident:‌Conflict point:‌ Value factor makes you buy 'gold in the trash heap,' growth factor makes you buy 'star held by the crowd.' Why coexist:‌ This is perfect complementarity. Giants like AQR found that value and momentum factors have historically shown slight negative correlation‌. Combining them can significantly reduce volatility without lowering expected returns.### 3. Short Volatility (Short Vol) vs. Long Volatility (Long Vol/CTA)

  • Short volatility assumption:‌ The market is calm most of the time, panic is temporary. Thus, selling options (insurance) can earn premiums (Carry).‌Conflict point:‌ One bets the market doesn't move, the other bets it does. Why coexist:‌ Short volatility is like 'picking up coins,' high win rate but small per-trade profit (with blowup risk); CTA is like 'buying lottery,' small losses usually, massive gains in crises (e.g., 2008, 2020 pandemic), perfectly offsetting other strategy losses.### Summary: Quantitative View of 'Blind Men and the Elephant'If the market is an elephant, different quantitative strategies are blind men touching it:‌True quant masters (Portfolio Managers)‌ won't argue who is right, because they know everyone is partial‌. They hire both groups, so no matter which part of the elephant they touch, they make money.‌Conclusion:‌ Conflicting assumptions are not only allowed but a necessary condition for building high-Sharpe ratio portfolios. If all strategies have consistent assumptions, if one is wrong, the entire fund goes bankrupt.
lhzsbsdr

Then they can't all profit, right?

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Your intuition is very sharp! If two strategies at the same time, on the same stock, do completely opposite operations, and hold for exactly the same time‌, then indeed: one must be losing money (ignoring fees, it's even zero-sum).However, in actual quant fund operations, they can profit simultaneously (or at least overall profit) due to three key ‌'misalignment'‌ mechanisms:### 1. Time Cycle Misalignment (Most Common)This is the biggest magic that turns conflicting strategies into allies. Market trends are not straight lines but winding mountain roads.Result:‌ In the same uptrend, the long profits from the big trend, the short from the interim dip. Though directions opposite, because holding periods differ‌, both profit.### 2. Internal Hedging Mechanism (Internal Crossing)If two strategies really at the same second‌, one insists on buying 100 shares of Moutai, the other selling 100 shares of Moutai, what happens?Only when strategy A wants to buy 500 shares, B sells 100, does the fund buy 400 net in the market (Net Exposure). This ensures conflicts don't double lose, only reduce risk.### 3. Independence of Probabilistic Edge (East Dim West Bright)Strategy profits are not per trade, but annual expected value‌.‌Key point:‌ Since we can't predict if this year is 'bull' or 'choppy,' run both strategies. As long as profits big when winning, losses small when losing (cut losses)‌‌, the yearly curve is beautiful.### SummaryYou're right, in every specific conflict moment‌, one is right, one wrong.But quant investing plays the portfolio game‌. Like a soccer team:But as long as they perform in their ‌'game segments'‌‌, the team (fund) wins.‌Thus, quant funds fear not 'strategy conflict,' but 'strategy synchronization'‌ — all strategies signal buy or sell at once. Diversification fails, risk amplifies infinitely.

lhzsbsdr

Explain the weak form efficient market hypothesis in detail.

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Weak Form Efficient Market Hypothesis (Weak EMH)‌ is the most foundational and most misunderstood level of the cornerstone of modern finance — the Efficient Market Hypothesis (EMH).Proposed by Nobel laureate Eugene Fama in 1970. To fully understand it, we'll break it down from definition, implications, impact on trading‌, and real-world paradoxes‌.### 1. Core Definition: What is 'Weak Form Efficient'?‌Definition:‌ In a weak form efficient market, current asset prices fully reflect all past market trading information‌.‌‌'Past market trading information' here specifically means:Plain explanation:‌ Everyone stares at past K-line charts; if there's really a 'sure-profit pattern' hidden, smart traders would have found it long ago. They'd arbitrage it away instantly, causing prices to adjust rapidly. Thus, any historical patterns you can see are useless for predicting future prices‌.### 2. Core Implications: Technical Analysis is InvalidThis is the most 'offensive' part of weak EMH. If true, then:1. Technical Analysis (Technical Analysis) is completely useless:‌2. Prices follow 'random walk' (Random Walk):‌3. Fundamental analysis may still work:‌‌### 3. Why Do Quant Strategies Seem to 'Slap' Weak EMH in the Face?Your earlier questions mentioned 'momentum' and 'reversion' strategies, both based on historical price data.‌This creates a huge paradox:‌ If weak EMH holds, past doesn't affect future, so momentum and reversion should both lose money‌. But in reality, these are among the most profitable quant sources.‌Academic and industry explanation:‌ This proves the market is not perfectly weak form efficient. Quant profits are essentially from market inefficiency (Market Inefficiency)‌‌.### 4. True Status of Weak EMH TodayIn today's investment world, attitudes toward weak efficiency are nuanced:#### A. For retail: It is truthFor ordinary investors, buying on MACD golden cross long-term loses money. Simple patterns have been mined by thousands of quant algos. For retail, the market is weak form efficient, even stronger.‌‌#### B. For quant institutions: It is a 'wall' to breachQuant institutions seek ‌'statistically slight inefficiencies'‌‌.### SummaryWeak EMH is like 'feather and iron ball fall together in vacuum' in physics:‌1. Theoretically:‌ Finance's benchmark model, tells us not to drive by 'looking in the rearview mirror' (don't worship technical analysis).2. In reality:‌ Air resistance (human irrationality, market friction) exists.3. Conclusion:‌ Market approaches weak efficiency, but not perfectly‌. Quant traders are those using microscopes to find 'air resistance' and profit from it.

lhzsbsdr

Is the rise and fall of individual stocks unpredictable? No high win rate methods?

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This is a soul-striking question. Straight answer:‌For individual stocks, 'high win rate' methods exist, but they usually come with two fatal costs: either 'extremely low returns' or 'extremely high risk (lose all once)'‌‌.If your goal is 'high win rate + high returns + low risk' for predicting individual stocks, answer: Non-existent. If it exists, it's insider trading (illegal) or Ponzi scheme.‌We can break down 'individual stock prediction' into these harsh realities:### 1. So-Called 'High Win Rate' Trap: Picking Coins Before SteamrollerYou can build a strategy with 90% or even 99%‌ win rate on a single stock, but it's poison.‌Conclusion:‌ Pursuing high win rate on single stock often trades holding bags (unlimited tail risk)‌ for fake win rate.### 2. Why Single Stocks Harder to Predict Than Index?Quant institutions avoid heavy single-stock positions due to low signal-to-noise ratio‌.### 3. Where True High Win Rate Exists? (You Probably Can't Participate)Though ordinary can't predict, in certain ultra-short or ultra-special dimensions, single stock moves are predictable:#### A. Microstructure Level (Milliseconds)#### B. Event-Driven Arbitrage#### C. Insider Info (Illegal)* Only way for 'high win + high return.' E.g., knowing earnings early. Criminal law territory.### 4. For Ordinary Traders, Relatively High Win Rate Methods?If you insist on single stock and want higher win rate, quant mindset: ‌'Abandon point prediction, turn to conditional probability'‌‌:‌Quant essence: Seek 'conditional bias.'‌ Even with conditions, win rate maybe only 55% or 60%‌ from 50%. Top level already.### SummarySingle stock rise/fall is Brownian motion (random) short-term, fundamental mapping long-term.‌So-called 'high win rate' usually two possibilities:1. You're dealer/insider (see the cards).2. Doing 'high prob small profit, low prob big loss'‌ (survivor bias, high win if no blowup).‌**For individuals, rational: Not seek 'sure-win prediction,' admit 'don't know next rise/fall,' use money mgmt (stops, sizing) to survive wrong guesses.**One step I can do:‌ Since win rate and odds relation, many lose due to ‌'high win low profit, low win big loss'‌‌. Want to learn Risk/Reward Ratio calc, how to profit at 40% win rate?

lhzsbsdr

In what context was the weak market hypothesis proposed, and what problem does it explain?

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Weak Form Efficient Market Hypothesis (Weak Form EMH)‌ proposal was the watershed from '江湖术士玄学' to 'serious science' in finance.To understand, go back to mid-20th century when computers just born, Wall Street still hand-drew K-lines.### I. Historical Background: From 'Seeking Cycles' to 'Discovering Randomness'Before 1950-1960s, no solid theory; mainstream views two camps:1. Chartists:‌ Technical analysis ancestors. Believed prices like tides/weather, fixed ‌'cycles'‌ and ‌'waves'‌‌. Find pattern, predict future.2. Fundamentals:‌ Price ultimately by company value, but lacked data tools then.‌**Key turning points (background events): **

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