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Adetayo Agueh

Preprint, 25 October 2026

Can a retail investor see machine-speed manipulation coming?

How high-frequency manipulation works, who pays for it, and what a simple warning tool sees in 20 real stocks. The full paper, with notes in plain words.

Preprint on ZenodoDOI 10.5281/zenodo.23669016

One-minute price, illustration

ntfynow

⚠️ TSLA: possible HFT activity

10:22 ET, minute 10:21. Score 62/100: volume 11.3 standard deviations above normal. Watching for a reversal over the next 5 minutes. A warning sign, not proof of manipulation.

minutes of real market data
155,954
U.S. stocks and funds
20
alerts per stock per day
4.9
of alerts were market-wide
28%

Regulators can see every order, and the firm that placed it. A retail investor sees prices and volumes, often one minute at a time, and nothing that says whether a price is being pushed. Enforcement, when it comes, arrives years later. This paper asks what that one-minute view can show.

Abstract

High-Frequency Trading and Retail Investors: A Review of Manipulation Research and a Detection Model

Adetayo Agueh

High-frequency trading (HFT) firms account for roughly half of U.S. equity volume, and some of their activity crosses into manipulation. This paper reviews research, regulatory cases, and enforcement records on how HFT manipulation works, who pays for it, and how it is detected. Five manipulative strategies appear repeatedly in the literature and in enforcement actions: momentum ignition, spoofing, quote stuffing, marking the close, and expiry-day index manipulation. The direct evidence on harm is thin and indirect: aggressive HFTs earned $3.49 per contract from small traders in S&P 500 futures in 2010, compared with $1.92 from large fundamental traders (), and short-term retail traders may carry more of this cost than buy-and-hold investors. Most detection methods in the literature, from the SEC's Consolidated Audit Trail to supervised and unsupervised machine learning models, depend on order-level data or labeled cases that retail investors cannot access, and most of them work after the fact. The review concludes that momentum ignition and expiry-day index manipulation play out over minutes to hours, long enough for public minute-level data to show them in principle, while spoofing, quote stuffing, and marking the close do not, and that an unsupervised model such as Isolation Forest is a candidate starting point for a retail-facing warning tool. To test that candidate, I ran an Isolation Forest plus three rules on real one-minute data for 20 U.S. stocks from 21 September to 16 October 2026. It raised about five alerts per stock per day, but shuffled data gave the same rate, so the rate reflects the detector's settings. Alerts did cluster across stocks more than chance (28 percent, against 7 to 16 percent), and planted synthetic events were found 78 percent of the time. With no labeled manipulation for this period, the test shows what such a tool would alert on, not whether its alerts are manipulation.

1. Introduction

Between January 2023 and March 2025, on 15 of the 18 expiry days examined, one trading firm allegedly moved India's Bank Nifty index up in the morning and down in the afternoon. According to India's market regulator, SEBI, Jane Street bought large amounts of Bank Nifty stocks and futures before noon, often above the last traded price, while building options positions that would pay off if the index fell. On SEBI's example day, 17 January 2024, it sold after 11:49 a.m. (; ). In July 2025, SEBI barred the firm from Indian markets and ordered it to deposit ₹4,843.57 crore, about $567 million at the time, while the case continued (). Jane Street paid the money into escrow, and the ban was lifted on 21 July 2025 (). The same regulator had already found that 93 percent of individual traders in Indian equity derivatives lost money in fiscal years 2022 through 2024, with combined losses above 1.8 lakh crore (). SEBI does not attribute those losses to manipulation. Its latest study found that 87.7 percent still lost money in fiscal year 2026 (). Jane Street disputes the allegations, and the order is interim: in October 2026 the firm was contesting it at India's Securities Appellate Tribunal, and SEBI had issued no final ruling (). The case is an example of the problem this paper studies: a strategy that runs at machine speed, on public markets, against traders who have no way of seeing it.

In plain words · Index options and expiry day

An index such as Bank Nifty is an average of many stock prices. An index option is a bet on where that average will stand at a set moment, the expiry. On expiry day, a small push to the index can decide whether a large options position pays off.

Figure 1

One expiry day, as SEBI describes it

  • Before noon: buying pushes the index up
  • After 11:49: selling pushes it down
09:1511:4915:30

Meanwhile, options positions gain if the index falls

Shape of the alleged pattern on SEBI's example day, 17 January 2024. An illustration, not real index data.

High-frequency trading (HFT) uses computer programs to execute orders in microseconds or milliseconds and accounts for roughly half of U.S. equity trading volume, depending on how it is defined, yet public data does not show when it is happening (; ). It is run by proprietary trading firms such as Citadel Securities, Virtu Financial, Jane Street, and Hudson River Trading, which pay large fees to place servers inside exchange buildings and receive price data before regular investors do (; ; ; ). HFT strategies fall into three main groups: market making, which profits from the gap between buy and sell prices; latency arbitrage, which trades on price changes before slower exchanges update; and momentum ignition, a manipulative strategy that triggers a sharp price move, lets other traders follow it, then reverses (; ). Small traders appear to take the larger losses: in the S&P 500 futures market in 2010, aggressive HFTs earned $3.49 per contract from small traders compared with $1.92 from large fundamental traders (). HFT also narrows bid-ask spreads, which lowers trading costs for retail investors (; ), but find that liquidity-demanding HFTs go with slower price discovery around earnings announcements ().

In plain words · High-frequency trading

Computer programs that buy and sell in thousandths or millionths of a second. Firms rent space for their servers inside the exchange's building, so their orders travel a few metres instead of a few kilometres.

Regulators and researchers have worked on this problem for more than a decade. The SEC built the Consolidated Audit Trail so that regulators can track every order in U.S. stocks (), and enforcement actions have followed, from the SEC's first HFT manipulation case, against Athena Capital in 2014, to the first criminal spoofing conviction in 2015 (; ). Academic researchers have described the patterns manipulation leaves in the data and have trained machine learning models to find them (; ; ).

All of this work is built for someone other than the retail investor. The Consolidated Audit Trail is open only to regulators. Most academic models are trained on tick-level order book data or confidential trade records that cost thousands of dollars or cannot be bought at all. Enforcement arrives years after the trading: Athena's manipulation took place in 2009 and was charged in 2014 (). A retail investor deciding whether to buy a stock this afternoon has nothing that tells them whether its price is being pushed.

In plain words · Who can see what

Regulators can see every order and which firm sent it. A retail investor sees prices and volumes, often a minute at a time, and nothing about who is trading.

This paper asks two questions. First, what does existing research show about how HFT manipulation works and how much it costs retail investors? Second, can the detection methods that research describes be adapted to the minute-level price and volume data that a retail investor can get for free? Section 2 explains how legitimate HFT strategies make money and where manipulation begins. Section 3 reviews five manipulative strategies. Section 4 weighs the evidence on retail harm against the evidence on benefits. Section 5 reviews detection methods, from regulatory surveillance to machine learning. Section 6 presents the methods and results. Section 7 concludes. Beyond the existing reviews, the paper adds a strategy-by-strategy account of what free minute-level data can and cannot show, and a test of how a simple detector behaves on real data, with controls.

2. How HFT Makes Money, and Where Manipulation Begins

Most HFT activity is legal, and some of it helps other investors. In market making, a firm posts a buy order and a sell order at the same time, for example a bid at $100.00 and an offer at $100.05, and earns the five-cent gap plus a small rebate from the exchange when both sides fill (). The risk is adverse selection: a better-informed trader can hit the firm's quote just before the price moves against it. studied NASDAQ data on HFT trades and found that HFTs, overall, trade in the direction of permanent price changes and against temporary ones, which means they help prices reach their correct level faster.

In plain words · Bid, ask and spread

The bid is the best price someone will pay right now. The ask, or offer, is the best price someone will sell at. The gap between them is the spread, and it is the market maker's margin.

Figure 2

How a market maker earns the spread

Bid (buy order)

$100.00

A seller takes the bid at $100.00

Offer (sell order)

$100.05

A buyer takes the offer at $100.05

+$0.05 per share, plus a small rebate from the exchange

The example from Section 2. The risk is a better-informed trader hitting the quote just before the price moves.

Latency arbitrage is harder to defend. When a price changes on one exchange, a firm with faster connections can trade on another exchange before that exchange's quote updates (). The profit comes from information other traders have not received yet. argue that this is a flaw in market design. Because U.S. exchanges process orders one at a time in a continuous stream, a firm that is even a microsecond faster can always pick off stale quotes, so firms keep spending money on speed that does nothing for anyone else. Their proposed fix is to run auctions in short batches, so that speed differences smaller than the batch interval stop mattering. later measured these races directly in London Stock Exchange data: for FTSE 100 stocks they found about one race per minute per stock, with races making up about 20 percent of trading volume and costing traders roughly 0.5 basis points on average.

In plain words · Basis point

One hundredth of one percent. Half a basis point on a $1,000 trade is 5 cents.

Figure 3

The latency race

The price changes on exchange A. Exchange B still shows the old quote.

Fast firmtakes the old quote
A
B
Slower traderarrives after it is gone
A
B
  • about 1 race per minute per stock
  • races were about 20% of volume
  • about 0.5 basis points per trade
FTSE 100 stocks on the London Stock Exchange, measured by Aquilina, Budish and O'Neill

show that the HFT population splits along this line. Using machine learning measures of HFT activity for U.S. stocks from 2010 to 2023, they find that HFTs who supply liquidity are associated with better price discovery after earnings announcements, while HFTs who demand liquidity are associated with worse price discovery.

Manipulation is a narrower category. defines market manipulation as trading or order placement meant to move a price away from where supply and demand would put it, so that the manipulator can profit from the distortion. His categories include trade-based manipulation, which uses real trades, and order-based manipulation, which uses orders the trader never intends to fill. Both types appear in HFT. What makes HFT manipulation different from older forms, such as pump-and-dump schemes, is its scale and speed: a single algorithm can repeat the same pattern hundreds of times a day across many stocks, and each episode can be over in seconds. The five strategies in Section 3 rest on different kinds of evidence: Coscia's conviction was adjudicated, Athena settled without admitting or denying the findings, the Jane Street order is a pending allegation, and momentum ignition and quote stuffing are patterns measured in data, not proven conduct.

In plain words · Two kinds of manipulation

Trade-based manipulation uses real trades. Order-based manipulation uses orders the trader never means to fill: they exist only to be seen by others.

3. Five Manipulative Strategies

  • Momentum ignition

    Push the price, let others chase it, then sell into them

    Pattern measured in data

    Visible in one-minute data, in principleRead 3.1
  • Spoofing and layering

    Show big orders you never mean to fill, trade on the other side, cancel

    Conviction, 2015

    Too fast or hidden for one-minute dataRead 3.2
  • Quote stuffing

    Flood the feed with orders and cancels so everyone else sees it late

    Pattern measured in data

    Too fast or hidden for one-minute dataRead 3.3
  • Marking the close

    Trade hard in the last seconds to move the closing price

    Settled, 2014

    Too fast or hidden for one-minute dataRead 3.4
  • Expiry-day index manipulation

    Lift an index in the morning, sink it on expiry afternoon, profit in options

    Pending allegation, 2025

    Visible in one-minute data, in principleRead 3.5

3.1 Momentum ignition

The SEC described momentum ignition in its 2010 review of equity market structure (), and at Credit Suisse later gave a detailed description with a way to detect it. The algorithm starts with a burst of volume while the price stays flat, then trades aggressively in one direction to trigger a sharp price move. Other algorithms and human traders see the move and follow it. The manipulator then reverses, selling into the buying it caused, or buying back into the selling. In European STOXX 600 stocks in the third quarter of 2012, the authors measured events lasting about 1.5 minutes on average and occurring about 1.6 times per stock per day. An event that lasts a minute and a half leaves a mark in minute-level price and volume data, which is the data a retail investor can see. A similar shape appears in a recent U.S. case that did not involve an HFT firm: in April 2026 the SEC alleged that a trader made over $5 million in more than 1,000 trading sessions by pushing prices up with many small buy orders, placing buy orders he did not intend to fill, selling into the rise, and cancelling the orders ().

In plain words · Why minute data can see it

An event of about a minute and a half leaves a mark in one-minute bars: a burst of volume, a sharp push, then part of the move given back.

3.2 Spoofing and layering

A spoofer places large orders on one side of the order book with no intention of letting them fill. The orders make it look as if demand or supply is building, other traders adjust their prices, and the spoofer trades on the other side at the better price before cancelling the fake orders. Layering is the same idea with several orders stacked at different prices. studied spoofing traders in the Korean stock market and found that the strategy was profitable and that spoofers chose stocks and times where their fake orders would move prices most. In the United States, Michael Coscia used an algorithm in 2011 to place and cancel orders in gold, soybean, copper, and currency futures, making about $1.4 million in under three months. In 2015 he became the first person convicted under the anti-spoofing provision of the Dodd-Frank Act, and he was sentenced to three years in prison ().

In plain words · Why minute data cannot

Spoof orders are placed and cancelled without ever trading. One-minute bars only record trades, so the fake wall of orders never appears in them.

3.3 Quote stuffing

In quote stuffing, an algorithm floods the market with orders and cancellations to slow down the data feed that other traders depend on. The flood creates delays that the stuffer, who knows its own orders are noise, can exploit. found at least one quote-stuffing episode in more than 74 percent of U.S. listed stocks in 2010, and found that during intense quoting episodes, liquidity fell while trading costs and short-term volatility rose.

In plain words · Too fast to see

Quote stuffing happens in milliseconds, in the stream of quotes. One-minute bars contain no quotes at all.

3.4 Marking the close

Many investors, index funds, and derivatives use a stock's closing price, so moving that one price can be worth a lot. From June to December 2009, Athena Capital Research ran an algorithm its employees called "Gravy," which placed large numbers of trades in the final seconds of the NASDAQ trading day to push closing prices in the direction that benefited its positions. In the affected stocks, Athena's trades made up more than 70 percent of NASDAQ volume in those final seconds. In 2014 the SEC brought what it called its first high-frequency trading manipulation case, and Athena paid a $1 million penalty without admitting or denying the findings. The SEC's enforcement director said that traders can use complex algorithms, "but what happened here was fraud" (). Because those trades fall in the last seconds of the day, one-minute bars cannot show them. estimate that about 1 percent of closing prices are manipulated and that only a small fraction of these cases are detected and prosecuted, while find that HFT presence lowers end-of-day price dislocation, especially on option expiry days and at month end.

In plain words · Why the close matters

Funds, indexes and contracts settle at the closing price, so a few seconds of pushing can be worth a lot. A one-minute bar blurs those seconds into a single number.

3.5 Expiry-day index manipulation

The Jane Street case described in the introduction combines several of these ideas across a full trading day. According to SEBI's interim order, the morning buying pushed the Bank Nifty index up, and on its example day, 17 January 2024, SEBI calculated that Jane Street's trades pushed the index up by about as much as all other participants combined pushed it down (). The afternoon selling pushed the index down on the day options expired, when the firm's options positions were most sensitive to the final price. The alleged profit came from the options; the stock trades could lose money on their own. This structure is harder to catch than momentum ignition because the manipulative trades and the profitable trades are in different markets. SEBI alleges a second pattern on six other expiry days, which it calls "extended marking the close." Since November 2024 it has also limited each exchange to one weekly index expiry, enlarged contracts, and added expiry-day margins and intraday position monitoring ().

In plain words · Two markets, one plan

The push happens in stocks and futures, the profit in options. Someone watching only one market misses the link.

4. Who Pays: Evidence on Retail Harm and Benefit

The most direct measurement of who loses to HFT comes from , who used confidential regulatory data that tags the trading account on both sides of every trade in the E-mini S&P 500 futures contract. HFTs earned more than $23 million in gross trading profits in that contract in August 2010 alone. Aggressive HFTs, the ones that take liquidity rather than provide it, earned $3.49 per contract when trading against small traders and $1.92 per contract against large fundamental traders. Small traders therefore paid about 82 percent more per contract than the larger traders. These are short-term profits, which the authors read as a trading cost for the other side, and they come from a 2012 working paper; the published version of the study uses Swedish stock data instead and does not report them ().

In plain words · How big is $3.49?

One E-mini S&P 500 contract was worth about $50,000 in 2010. $3.49 on it is roughly 0.7 basis points: small per trade, large over millions of trades.

Figure 4

Who pays aggressive HFTs, per contract

Small traders$3.49
Large fundamental traders$1.92

Small traders paid about 82 percent more per contract.

Cost of one trade, as a share of its value

Lost to latency arbitrage (0.5 basis points)0.005%
One needless round trip at a retail broker0.07%–0.46%
E-mini S&P 500 futures, August 2010 (Baron, Brogaard and Kirilenko); London races (Aquilina, Budish and O'Neill); round trips at five U.S. brokers (Schwarz et al.).

The harm is not spread evenly across retail investors. A Congressional Research Service report, citing a Canadian study, noted that retail investors who day trade may be more affected by HFT, while buy-and-hold investors who trade rarely are less likely to be affected (). That Canadian study, by , is mixed on retail traders: after a 2012 fee on messages cut message traffic by about 30 percent, institutions' costs on market orders rose, retail market-order costs did not change, and retail returns on limit orders fell. The strategies in Section 3 explain why. A momentum ignition event costs something only to the trader who buys during the artificial rise, and a person who buys an index fund once a month is rarely that trader. An active trader following short-term price moves is exactly the trader momentum ignition is designed to attract.

Speed differences add to the cost. built an agent-based simulation of the Chinese market, using order book data to set up the simulated market, and found that when the gap in communication delay between retail traders and HFTs exceeded 50 milliseconds, the chance that a retail order would be intercepted through latency arbitrage rose to over 82 percent. This is a simulation, not a measurement of real losses, and the 50-millisecond threshold is built into the model, but it shows how quickly the disadvantage grows once the speed gap passes a threshold. The one large measurement from real trading data puts the cost per trade at about 0.5 basis points, or 5 cents on a $1,000 trade (). That is about the same size as the futures figure above: $3.49 on a contract worth about $50,000 is roughly 0.7 basis points.

In plain words · Latency

The time a message takes to travel between a trader and the exchange. 50 milliseconds is one twentieth of a second.

HFT can also make market-wide stress worse. studied the Flash Crash of May 6, 2010, when U.S. stock prices collapsed and recovered within minutes. They found that HFTs did not trigger the crash but that their trading, in response to an unusually large sell order, made the volatility worse.

Other parts of market structure also shape what retail investors pay. Schwarz et al. placed 85,000 simultaneous market orders through six accounts at five U.S. brokers and found that average round-trip costs ranged from 0.07 to 0.46 percent, because the wholesalers that execute retail orders gave different brokers different prices for the same trades. In U.S. options, retail traders now account for over 60 percent of volume, favor cheap weekly contracts with an average bid-ask spread of 12.6 percent, and lose money on average ().

In plain words · Round trip

Buying a stock and selling it again. Its cost includes crossing the spread twice and the price the broker's wholesaler gives you.

Against this evidence, HFT competition has lowered the direct cost of trading. Algorithmic trading, including HFT market making, has narrowed bid-ask spreads (; ), and liquidity-supplying HFTs make prices more accurate (; ). The two bodies of evidence may be compatible, but the evidence on retail traders is mixed, as the Canadian study above shows. Every retail trade may be slightly cheaper because of HFT market making, while the retail traders who trade most often, and at the worst moments, lose more to aggressive and manipulative strategies. Averages across all investors hide the second effect. The problem this paper addresses is the second group.

5. How Manipulation Is Detected Today

5.1 Regulatory surveillance

Regulators have the best data. The SEC adopted Rule 613 in 2012 and approved the plan for the Consolidated Audit Trail in 2016, creating a central database that lets regulators track all activity in U.S. listed stocks and options, including which firm placed each order (). The system is now being scaled back: a federal appeals court struck down its funding order in July 2025 (), the SEC has stopped CAT reporting of individual customers' personal information, and in August 2026 SEC Chairman Paul Atkins asked staff to draft a rule that would rescind Rule 613, a change he expected to take until late 2027 (). With that data, a regulator can see a spoofing pattern directly: the same firm placing and cancelling large orders just before trading on the other side. The limits are access and timing. The data is available only to regulators, and enforcement takes years. Athena's 2009 trading was charged in 2014, Coscia's 2011 trading ended in a 2015 conviction, and SEBI's order against Jane Street came almost a year after the last of the 18 expiry days it examined, with no final ruling by October 2026 (; ; ; ). Enforcement punishes manipulation after the fact and gives no warning to the investor who is trading against it.

In plain words · Interim order

A temporary order while a case continues. It is not a final finding, and the firm can contest it.

Figure 5

From the trading to the ruling

TradingWaitingEnforcement
  1. Athena Capital (marking the close)
    charged 2014, settled
  2. Michael Coscia (spoofing)
    convicted 2015
  3. Jane Street, per SEBI (expiry days)
    interim order 2025, no final ruling by Oct 2026
  4. Consolidated Audit Trail
    Rule 613, 2012 · plan approved, 2016 · funding order struck down, 2025 · rescission requested, 2026
200820122016202020242028
Dates from the paper. Enforcement arrives years after the trading, and never warns the investor on the other side.

5.2 Rule-based detection

The simplest detection methods write the known pattern as a set of rules. describe momentum ignition as a sequence: a volume spike with little price change, a sharp price move with more volume, and a reversal. A rule-based detector flags any window where all three conditions are met. Rules are easy to explain, which matters for a non-expert user, but they only find the patterns someone has already described, and a manipulator who changes one step of the sequence can avoid them.

In plain words · A checklist

A rule-based detector works like a checklist: if all three steps happen, raise a flag. Easy to explain, and easy to dodge by changing one step.

5.3 Supervised machine learning

Supervised models learn from examples labeled as manipulated or not manipulated. used stocks named in SEC manipulation cases from 2003 as their positive examples and tested eight algorithms, including random forests, neural networks, and support vector machines, on hourly trading data from 64 companies. Naive Bayes performed best, catching 89 percent of manipulated observations with 83 percent specificity. The weakness is the labels. Confirmed manipulation cases are rare, they come from enforcement actions years after the trading, and they include only the cases regulators caught. A model trained on them learns what caught manipulation looks like.

In plain words · Labels

Examples that someone has already marked as manipulation. Few exist, and they only show the cases regulators caught.

5.4 Unsupervised machine learning

Unsupervised models do not need labels. They learn what normal trading looks like and flag what does not fit. built an adaptive hidden Markov model with extra "anomaly states" for price manipulation and tested it on tick-level data with simulated manipulation cases, where it outperformed the benchmark methods it was compared with. Isolation Forest, introduced by , takes a different approach. It builds many random decision trees that split the data on random features at random values. Unusual points get separated from the rest in fewer splits than normal points, so the average number of splits needed to isolate a point becomes its anomaly score. The method is fast, needs no labels, and works with a small number of features, which makes it a good fit for data with few columns.

In plain words · Isolation Forest in one line

Ask random yes-or-no questions (was volume above this? was the move above that?) until a minute stands alone. Strange minutes are isolated after a few questions, ordinary ones need many.

Figure 6

Isolating a minute with random cuts

↑ size of the price movetrading volume →

0 cuts so far

Each dot is one minute. A cut splits the space at a random place; the forest keeps cutting the side that holds the chosen minute. Odd minutes are alone after a few cuts, ordinary ones need many. The average number of cuts, over many random trees, is the anomaly score.

Recent studies have tested unsupervised models on data closer to what a retail investor has. applied Isolation Forests to hourly price, return, volume, and trade-count features for eight stocks named in SEC cases. A single forest found about two-thirds of the manipulated hours, and an ensemble of forests found up to 89 percent, but only 2 to 6 percent of the hours they flagged were actually manipulated. In a 2026 preprint, ran minute-level detectors on public Bank Nifty options data covering 209 trading days in 2024, 10 of which SEBI identified in the Jane Street case. An autoencoder flagged all 10 and an Isolation Forest flagged 8, but about three of every four flagged days had no known manipulation. Legitimate trading can also produce similar shapes: dealers hedging same-day options can strengthen intraday reversals and momentum on their own ().

In plain words · Precision

Of everything a model flags, the share that was really manipulation. Two to six percent means most flags were false alarms.

5.5 Measuring HFT from public data

The study closest to the retail problem is They trained machine learning models on a proprietary dataset in which HFT activity was identified, then applied those models to public intraday data to estimate HFT activity for U.S. stocks from 2010 to 2023. Their measures performed better than older proxies and responded correctly to known events such as exchange speed changes. Their goal was measurement, not manipulation detection, but they show that public data carries enough information to estimate HFT activity when a model is trained properly.

In plain words · Measuring without seeing

Public data does not say who is an HFT firm. A model trained where the answer is known can estimate it where it is not.

6. Methods and Results

I tested the detector on real one-minute price and volume bars from a free source any retail investor can use (). Yahoo keeps one-minute bars for only about 30 days, so the study covers the 20 regular trading sessions from 21 September to 16 October 2026, from 9:30 a.m. to 4:00 p.m. New York time. I chose 20 tickers for heavy trading and sharp price moves, not because they are known to be manipulated: six large technology stocks (TSLA, NVDA, AAPL, AMD, META, and AMZN), five index and leveraged funds (SPY, QQQ, TQQQ, SQQQ, and SOXL), and nine volatile stocks popular with retail traders (GME, AMC, PLTR, SOFI, COIN, MARA, RIVN, HOOD, and NIO). That is about 7,800 bars per ticker and 155,954 in total. Each bar holds an opening, high, low, and closing price and a volume, and nothing else: no individual orders, no trader identities, and no bid or ask prices. No artificial events were added to the data. Because Yahoo deletes one-minute bars after about a month, the raw bars were saved with the code so the results can be reproduced; both are available from the author.

In plain words · One-minute bar

For each minute: the first price, the highest, the lowest, the last, and how many shares traded. Nothing about who traded, or which orders were waiting.

The model turns each minute into three numbers, each tied to one step of the momentum ignition pattern in Section 3.1. The volume Z-score measures how far the minute's trading volume, on a log scale, sits above the previous 20 minutes of the same session, in standard deviations; it captures bursts of rapid trading. The price reversion rate applies only when the price has made a sharp three-minute move, larger than 2.5 times its usual three-minute move over the past hour, and measures the share of that move given back over the next five minutes; it captures the push-and-reverse shape. The order imbalance proxy is a volume-weighted average, over five minutes, of where each bar closed inside its high-low range, from -1 for a close at the low to +1 for a close at the high. It estimates whether trading was one-sided, since minute bars do not show which side started each trade. All three features are computed within a single session, so the first 20 or so minutes of each day are not scored while the baselines fill.

In plain words · Standard deviations

A way to say how unusual a number is compared with its recent past. 2.5 standard deviations above normal happens in well under one minute in a hundred.

Figure 7

Three numbers for every minute

2.5

Volume z-score

How far this minute's volume sits above the last 20 minutes. The rule fires above 2.5.

≈60% given back

Price reversion

After a sharp 3-minute move, the share given back in the next 5 minutes. The rule fires above half.

−10+1

Order imbalance

Where bars closed inside their high-low range, from −1 (at the low) to +1 (at the high). The rule fires beyond 0.6.

Each number matches one step of the momentum ignition pattern: a burst of trading, a push and a reversal, one-sided pressure

An Isolation Forest with 300 trees () was trained on the three features from the first 12 sessions (21 September to 6 October) and then scored the last eight (7 to 16 October), so it never saw the period it was judged on. Its contamination setting was 1 percent, which means it treats about the most unusual 1 percent of training minutes as anomalies. Each minute's anomaly score was converted to a percentile against the training minutes, and only minutes above the 95th percentile add to risk. Three rules based on the pattern in Section 5.2 run alongside the model: a volume Z-score above 2.5, more than half of a sharp move reversed, and an imbalance above 0.6 in either direction. The score, which the code calls the HFT risk score although it measures unusual trading and not manipulation, combines the two parts as 100 times the sum of 0.6 times the model's strength and 0.4 times the share of rules that fired. A score of 50 or more is Elevated and 70 or more is High. Alert minutes less than five minutes apart in the same session were merged into one episode, and each episode comes with a plain-English explanation of which signals fired.

In plain words · Trained, then tested

The model learned what normal looks like from 12 days and was judged on the next 8, which it had never seen.

Figure 8

Build a risk score

Rules that fired

Score = 100 × (0.6 × model + 0.4 × share of rules)

69Elevated

5070
The paper's formula. Elevated starts at 50 and High at 70. The code calls it the HFT risk score, but it measures unusual trading, not manipulation.

Because the reversion signal needs five minutes of future prices, the tool also runs in a two-stage live mode. The moment a minute looks unusual, it sends an early warning based on volume, a sharp three-minute move, one-sided trading, and the model. Five minutes later it confirms the warning if the risk score is at least 50 and at least 35 percent of the move has reversed, or clears it if the move held. To measure this, each of the eight test sessions was replayed one minute at a time, exactly as a live data feed would deliver it.

In plain words · Two stages

The early warning goes out the moment a minute looks odd. The verdict needs five more minutes of prices, to see whether the move reversed or held.

A few details are needed to repeat the work. Each ticker has its own forest, trained on that ticker's first 12 sessions with a random seed of 42. The reversion value is set to zero on minutes without a sharp move. Baselines start working once a session has 10 to 20 minutes of data, so they do not wait for a full hour. Of the 156,000 possible minutes (20 tickers, 20 sessions, 390 minutes), 46 had no trades and were dropped. The code ran on Python with scikit-learn 1.9.1 and pandas 3.0.6.

No public list of manipulation events exists for these tickers and dates, so this study cannot report precision or recall. It measures what a retail user of the tool would experience instead: how often it alerts, which signals drive the alerts, and how many alerts are market-wide. An alert counted as market-wide when at least three of the other 19 tickers also had an alert episode within two minutes of it. A move that hits many unrelated stocks at the same moment is more likely to be news or a market-wide trade than manipulation of one stock.

In plain words · Market-wide

When many unrelated stocks jump in the same minute, news or a large index trade is the likelier cause than someone pushing one stock.

Your phone on 8 October191 notifications from 20 stocks

Had you watched the study's 20 stocks with the tool on 8 October, using the watcher's default settings, these are the notifications your phone would have received. The phone follows your reading through the day.

09:50Thursday, 8 October

No alerts yet. The market opened at 09:30; scoring starts once each stock has about 20 minutes of data.

Across 58,206 scored test minutes, 1,043 (1.8 percent) reached Elevated or higher and 324 (0.6 percent) reached High. The Isolation Forest on its own flagged 536 minutes (0.9 percent), close to its 1 percent setting. Merging nearby minutes produced 788 alert episodes, or 4.9 per stock per trading day (95 percent interval over trading days: 4.6 to 5.2). The rate was similar across all 20 tickers, from 3.5 a day for MARA to 6.8 for NIO, so the large technology stocks alerted about as often as the volatile retail favorites. Most episodes were short, with a median length of one minute.

09:55

The first two early warnings: SOXL and SQQQ. Each says what looked odd and that the tool is watching for a reversal.

10:02

Both moves held, so both warnings are cleared. A cleared message arrives silently.

Most alerts did not have the momentum ignition shape. The volume rule fired in 74 percent of episodes and the one-sided trading rule in 62 percent, but the reversal rule fired in only 15 percent (122 episodes; interval over trading days 12 to 19 percent). Most of what the model flagged was a burst of heavy, one-directional trading whose price move then held.

11:49

The first confirmed pattern: META. Five minutes after its warning, enough of the move had reversed, so this one arrives as urgent.

Many alerts were market-wide. In 221 of the 788 episodes (28 percent), three or more other tickers alerted within two minutes, and on two occasions 9 of the 20 tickers alerted in the same minute (12:17 p.m. on 8 October and 12:00 p.m. on 9 October). Only 199 episodes (25 percent) had no other ticker alerting within two minutes. Episodes with a reversal were more often market-wide than the rest (48 percent against 25 percent). Removing market-wide episodes and keeping only those with a reversal leaves 64 episodes, about 0.4 per stock per day. These stock-specific push-and-reverse episodes are the closest match to momentum ignition in this data, but without labels they remain candidates, not confirmed cases, and the controls below show they should not be read as evidence of it.

12:17

Nine of the 20 stocks alert in the same minute. Five warnings land at once, and the watcher's limit of 20 warnings an hour kicks in.

12:25

Seven confirmations in two minutes. They all moved together, which points to news or a market-wide trade rather than one stock being pushed.

The live replay sent 646 early warnings, about four per stock per day. Five minutes later, 586 of them (91 percent) were cleared because the move held, and 41 (6 percent) were confirmed as reversals; the rest came too close to the end of a session to resolve. Half of the confirmed alerts (21 of 41) were market-wide, compared with about a fifth of early warnings (138 of 646), so many of the reversals the live mode confirmed were moves that hit several stocks at once. That leaves 20 stock-specific confirmed alerts, about one per stock every eight trading days. The full score also raised 167 alerts that had not been preceded by an early warning.

12:54

Warnings held back by the limit come through as digests. Urgent alerts never wait.

15:31

A second burst late in the afternoon: SOXL, PLTR and HOOD confirmed within three minutes

16:00

Market closed. The day's summary for 20 stocks: 87 early warnings (7 of them held back and sent in digests), 35 confirmed, 69 cleared.

09:50. Early warnings: 0. Confirmed: 0. Cleared: 0.

Controls show how much of this comes from the detector's own settings and how much from the market. The alert count is a dial. With the settings used (a 95th-percentile gate and an alert cut-off of 50) the detector raises 4.9 episodes per stock per day. With a 99th-percentile gate it raises 1.4, and with a 90th-percentile gate 8.2; moving the cut-off to 40 or 60 gives 6.6 or 3.4 at the 95th-percentile gate. The Isolation Forest's contamination setting changes nothing about the episodes (4.9 at 0.5, 1, and 2 percent), because the score uses the percentile gate, and contamination only moves the forest's own flag line (266, 536, and 1,128 flagged minutes).

Figure 9

The alert count is a dial

Model gate (percentile)
Alert cut-off (score)

4.9

alert episodes per stock per day · the paper's setting

Real data, 20 stocks, 8 test sessions. Same market, same days: only the settings change.

Two checks suggest the alert rate does not come from the market. I shuffled the bars within each session, keeping each bar's shape and volume but randomizing the order, and ran the same pipeline: it still raised 4.9 episodes per stock per day, and 16 percent of them showed a reversal, against 15 percent in the real data. Shuffling in 10-minute blocks gave 4.8 per day. A comparison group of 20 calmer large caps (KO, PG, JNJ, WMT, XOM, JPM, PEP, MRK, CVX, HD, VZ, T, CSCO, INTC, ORCL, IBM, MCD, CAT, LOW, and ABT) over the same dates raised 5.0 episodes per stock per day, with 12 percent showing a reversal. The shuffled data also gave 0.7 stock-specific reversal episodes per stock per day, more than the 0.4 in the real data, so the 64 candidate episodes cannot be told apart from what the detector produces when time order is destroyed. Shuffling also removes ordinary volume clustering, so this is a rough comparison, not proof that real markets contain no momentum ignition.

In plain words · Shuffling

Keep every minute of the day but scramble their order. Anything that depends on time order disappears, so what is left is what the detector finds in noise.

Figure 10

Real markets versus noise

Real data4.9 · 15% with a reversal
Shuffled within each session4.9 · 16% with a reversal
Shuffled in 10-minute blocks4.8
20 calmer large caps, same dates5.0 · 12% with a reversal

alerts per stock per day

If the detector were reacting to something only real markets contain, shuffling would change the rate. It does not. Shuffling also removes normal volume clustering, so this is a rough check, not proof that there is no manipulation.

The market-wide share is the one result that clearly exceeds chance. In the real data, 28 percent of episodes (95 percent interval over trading days: 22 to 33 percent) coincided with alerts in three or more other tickers. When I moved each ticker's alerts to random times within the same session, only 7 percent did (interval 4 to 10 percent), and independently shuffled data gave 14 to 16 percent. So alerts cluster across stocks more than chance timing would produce, which fits news or market-wide trading moving many stocks at once. In the calmer comparison group the share was 21 percent.

Figure 11

When many stocks alert at once

8 October, 12:17 p.m.: 9 of the 20 stocks alerted in the same minute

  • TSLA
  • NVDA
  • AAPL
  • AMD
  • META
  • AMZN
  • SPY
  • QQQ
  • TQQQ
  • SQQQ
  • SOXL
  • GME
  • AMC
  • PLTR
  • SOFI
  • COIN
  • MARA
  • RIVN
  • HOOD
  • NIO

Share of alert episodes with 3 or more other stocks alerting within 2 minutes

Real data28%
Same alerts moved to random times7%
Independently shuffled data14%–16%
Calmer comparison stocks21%
The one result that clearly beats chance. It fits news or market-wide trading moving many stocks together, not one stock being pushed.

To check that the detector finds a push-and-reverse when one exists, I planted 40 synthetic momentum ignition events in each ticker's test sessions (800 in total): a move of 0.25 to 0.7 percent, followed by a partial reversal, with volume three to six times normal. The combined score found 78 percent of them, the rules alone 69 percent, and the Isolation Forest alone 62 percent. Counting any alert that did not overlap a planted event as wrong, 55 percent of the combined score's alert episodes overlapped a planted event, against 64 percent for each part alone, so combining the two finds more events at the cost of more alerts. These events were built to look like the pattern the rules describe, so these recall figures are a best case. On the real data, the rules alone raised 2.7 episodes per stock per day, the forest alone 2.8, and the combined score 4.9.

In plain words · Planted events

Fake push-and-reverse patterns added to real data, so the right answer is known. Real manipulation would not be built to match the rules.

Figure 12

Finding 800 planted push-and-reverse events

Combined score78%
Rules alone69%
Isolation Forest alone62%
The events were built to look like the pattern the rules describe, so these are best cases. Combining the two finds more events, at the cost of more alerts.

These results answer the paper's second question only in part. The detector runs on free data and explains its alerts as they happen, but at its default setting it alerts about five times per stock per day, a rate set by the settings and not by the market, and most of those alerts describe heavy trading that did not reverse. Filtering would be needed: dropping market-wide episodes removes 28 percent of the alerts, and also requiring the reversal pattern leaves about 0.4 per stock per day. That figure can only be computed after the fact, because it uses five minutes of later prices, so the number a live user would see is the 20 stock-specific confirmed alerts in the replay, about one per stock every eight trading days. Real manipulation is rare, so even a detector that catches most events would raise mostly false alarms: if one alert in 100 were real (an assumption, not a measurement), 990 of every 1,000 alerts would be false, and if one in 10 were real, 900 would be. Acting on an alert also has a cost. One needless round trip costs 0.07 to 0.46 percent (), far more than the 0.005 percent lost to latency arbitrage (), so a flag is a reason to wait and look, not to chase the move. The study has clear limits. It covers only 20 tickers and eight test sessions in a single month. I did not check individual alerts against news or earnings dates, and the last session, 16 October, was a monthly options expiration day, though it had 101 alert episodes, within the range of 86 to 112 on the other days. Without labeled cases, it cannot say how many alerts were manipulation or how many real events it missed. The imbalance feature is an estimate from the shape of each bar, not real order flow. And the busiest part of each day, the first 20 minutes after the open, was not scored because the baselines were still filling.

In plain words · Base rate

When the real thing is rare, even a good alarm rings mostly for nothing. That is why a flag means wait and look, not buy or sell.

Figure 13

1,000 alerts, if manipulation is rare

Suppose real cases are

990false alarms

10 real

An assumption to show the arithmetic, not a measurement. Acting on an alert also costs money: one needless round trip costs 0.07 to 0.46 percent, so a flag is a reason to wait and look, not to chase the move.

7. Conclusion

At best it could tell a retail investor, a few minutes after a sharp move, that the move may have been artificial.

The literature and enforcement records describe at least five forms of HFT manipulation, from momentum ignition to expiry-day index manipulation, though the evidence for each differs, and the evidence suggests that small, active traders pay more to trade against aggressive HFT than large traders do, although no study cited here measures what manipulation itself costs them. Most tools built to catch it serve regulators and institutions: they need order-level data retail investors cannot access, and they work years after the trading. Research on public data, especially the work of , shows that this gap can be narrowed. Of the five strategies, momentum ignition and expiry-day index manipulation last long enough to appear in free minute-level data in principle, and an unsupervised model such as Isolation Forest, trained on volume, price reversion, and order imbalance features and paired with a rule-based check, is a candidate design for a warning tool. My test on 20 real tickers does not yet show that it works. The detector raised about five alerts per stock per day, and shuffled data produced the same rate, so the rate reflects the detector's settings. Alerts did cluster across stocks more than chance, which points to news or market-wide trading, and the detector found 78 percent of planted synthetic events. The next step is to test it against labeled cases, such as the dates in SEBI's Jane Street order, using historical minute data from a broker or data vendor, and to check its alerts against news. Such a tool could not prove manipulation. At best it could tell a retail investor, a few minutes after a sharp move, that the move may have been artificial.

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