R and R-Multiples: The Trader's Unit of Measurement

R = your risk on a single trade. It's just one letter standing in for "one unit of risk." If you risk $500 on a trade, then 1R = $500 for that trade. If you risk $200 on the next trade, 1R = $200 for that one. R changes trade-to-trade, but inside a single trade it's fixed.

Why traders use it instead of dollars: R makes results comparable across different-sized trades. A $500 gain on a $500-risk trade (+1R) is the same performance as a $2,000 gain on a $2,000-risk trade (+1R). Both are "one R of profit." Dollar amounts hide that equivalence.

The conversions you need to know

Reward-to-Risk Ratio (R:R)

R:R is how much you stand to gain compared to what you're willing to lose. Written as a ratio: 2:1 means if you're risking $100, you're playing for $200.

The formula

Reward-to-Risk = (Target price − Entry price) ÷ (Entry price − Stop price)

For a long trade (betting the stock goes up). For a short, flip the subtractions.

Entry:  $138.50
Stop:   $135.80   (risk = $2.70 per share)
Target: $145.25   (reward = $6.75 per share)

R:R = $6.75 / $2.70 = 2.50

Why the 2.0 minimum rule exists

If you take only 2:1 trades and win 40% of them, you make money:

• 40 wins × 2R = +80R
• 60 losses × 1R = −60R
• Net: +20R

If you take 1:1 trades, you need to win over 50% to make a dollar — and brokerage/slippage will eat into that. A 2:1 minimum is the mathematical safety net for imperfect execution.

Candles: Reading the Battle Between Buyers and Sellers

A candle on a chart represents a fixed window of time — 5 minutes, 1 hour, 1 day — and shows four prices from that window:

The body of the candle (thick part) spans from open to close. The wicks (thin lines above/below) reach to the high and low.

Green vs Red

• Green (or white): Close was higher than open. Buyers won that window.
• Red (or black): Close was lower than open. Sellers won that window.

The two candles you need to recognize first

The Reversal Candle (hammer / shooting star)

A candle with a long wick and small body, typically appearing after a move in the opposite direction. Shows price went one way, got rejected hard, and closed back near the start.

The Confirming Candle

A candle that continues in the direction a reversal candle suggested. The reversal candle is the hypothesis; the confirming candle is the evidence. Never act on a reversal alone — wait for confirmation.

Timeframes: Which Chart to Look At

A "timeframe" is how much time each candle represents. A 5-minute chart has one candle per 5-minute window; a daily chart has one candle per day. Same stock, same price, different windows of detail.

The timeframes that matter and when to use them

The rule: big timeframe sets context, small timeframe sets entry

Pros look at the daily chart to decide if they want to trade a stock. They look at the 5- or 15-minute chart to decide when to enter.

Market Regime: Reading the Environment

The market isn't one thing. It behaves differently on different days, and the same trade idea can be brilliant on Tuesday and terrible on Wednesday — not because the setup changed, but because the regime changed.

A regime is the overall character of the market right now. Your dashboard forces you to pick one every morning, because your setups live in specific regimes.

The four regimes and what they mean

Trend

The market is moving in a clear direction — up or down — with higher highs and higher lows (or the opposite for downtrend). Pullbacks are shallow and get bought/sold quickly.

What works: Pullback entries, breakout retests, momentum continuation.
What fails: Fading the move, mean-reversion trades (betting it'll snap back).

Range

The market is chopping sideways between a clear high and low, with no directional conviction. Breakouts keep failing and reversing.

What works: Buying at range lows, selling at range highs, mean-reversion trades.
What fails: Breakouts (they almost always trap).

High Vol (High Volatility)

Big moves in both directions on big volume. Often driven by news, earnings, or macro events. Stops get hit frequently by noise alone.

What works: Smaller size, wider stops, only A+ setups.
What fails: Normal-size positions (you'll be gapped or wicked out).

Risk-Off

Fear-dominated market. Indices dropping, VIX spiking, money flowing from stocks to bonds/gold/cash. Even good stocks go down.

What works: Cash, short setups, defensive stocks (utilities, consumer staples).
What fails: Any long bias without strong confirmation. "Buy the dip" gets killed here.

Daily Bias: Your One-Sentence Thesis

Daily bias is the lean you bring to the market when you sit down: bullish, neutral, or bearish. It is not a setup. It's context — a hypothesis about what type of environment today will be, which shapes what you'll look for.

The difference between bias and setup

Bias is a filter; setup is a trigger. You can be bullish-biased all week and take zero trades because no setups appeared. That's correct behavior, not a problem.

Why the "Why?" forcing function works

The dashboard makes you type one sentence explaining your bias. This seems trivial. It isn't.

Writing the sentence forces you to check whether you actually have a thesis — or just a feeling. When you can write it clearly, you know your thinking is clear. When you can't, you're guessing, and knowing you're guessing is more valuable than a bad thesis.

Relative Strength (RS): Finding the Leaders

Relative Strength (not RSI, that's different) = how a stock is performing compared to the market. If SPX is up 0.5% and your stock is up 2%, your stock has relative strength. If SPX is down 1% and your stock is flat, your stock also has relative strength — it's holding up while the market falls.

Why it matters

When the market moves, it drags most stocks with it. Stocks that out-perform on up-days and hold firm on down-days are being accumulated by institutions. Those are the stocks to swing-trade long.

Stocks that under-perform on up-days are being quietly sold — even when the market looks strong. Those are your short candidates or skip-list.

How to check RS in 10 seconds

1. Open the stock's chart.
2. Compare today's % change to SPY's % change.
3. If the stock is beating SPY materially — it has RS.

More advanced: plot a symbol/SPY ratio line. Rising line = RS. Falling line = relative weakness.

Opening Range: The First 15–30 Minutes

The opening range is the high and low established in the first 15 or 30 minutes of the regular session (9:30–10:00 AM ET). These two levels act as intraday support/resistance for the rest of the day.

Why the open is noisy

The first 15 minutes of every session are a cleanup operation: overnight orders fire, news is digested, algos re-position. Price often whips in both directions with no clear story. Taking trades in this window is statistically worse than waiting.

What the opening range gives you

• A high that becomes resistance for the rest of the morning.
• A low that becomes support for the rest of the morning.
• A breakout signal: a clean break above or below the range, on volume, is a meaningful directional move.

Measured Move Targets

When you take a breakout or retest trade, the target shouldn't be "wherever feels good." It should be calculated. The simplest, most widely-used method: the measured move.

How it works

Take the size of the prior consolidation (the range the stock traded in before breaking out) and project that same distance in the breakout direction.

Stock ranges $130 to $135 for three weeks. (Range size = $5)
Stock breaks out above $135.
Measured move target = $135 + $5 = $140

Why the market respects this

It's partly a self-fulfilling prophecy — enough traders use the measured move that target-area selling genuinely materializes. It's also a reflection of buyer/seller psychology: the prior range represents a battle zone, and once it's resolved, the same magnitude of conviction often carries price to an equivalent distance before resistance reforms.

The Breakeven Stop: Making Trades Free

A breakeven stop is a stop-loss moved to your entry price. If you entered at $100 and you move the stop to $100, the worst case is no longer a loss — it's a scratch (flat). The trade becomes "free."

The 1R trigger

The standard rule: move stop to breakeven when the trade reaches +1R of unrealized profit. At that point, you've shown the thesis is working. Giving back everything would mean you watched a winner become a loser, which is psychologically and financially bad.

Entry:  $138.50
Stop:   $135.80  (1R = $2.70)
+1R = $138.50 + $2.70 = $141.20

When NVDA trades at $141.20, move stop from $135.80 → $138.50.
Now: worst case is flat. Best case is $145.25 target.

Why this is standard practice

• Risk is eliminated. Dollar risk on the position goes to zero.
• You trade looser. A free trade is easier to hold. Panic closes disappear.
• Big winners survive. The trades that run to +3R and +5R start at +1R. Moving the stop protects them.

Trailing Stops: Letting Winners Run

A trailing stop is a stop that moves up with the trade. Instead of a fixed price, it sits a set distance below the stock and follows it higher. When the stock finally pulls back enough to hit the trailing stop, you're out — with most of the move banked.

Common methods

Moving-average trail

Keep the stop just below the 20-period moving average on your hold timeframe. As the average rises, so does your stop. When the stock closes below the average, you're out.

Percentage trail

Keep the stop a fixed percentage (e.g., 5%) below the highest price since entry. Simple but noise-prone.

ATR trail

Use the Average True Range (a volatility measure) to size the distance. Wider trail on volatile stocks, tighter on calm ones. Most statistically sound.

Scale-out + trail combo

Common pro approach: sell half at the measured-move target (lock in a guaranteed 2R win on the position) and trail the remainder. This way you've booked a solid profit AND you're positioned to catch an extension if the stock keeps running.

Bought 370 shares at $138.50.
At $145.25 (target, 2R): sell 185 shares.
  — Locked: 185 × $6.75 = $1,249

Remaining 185 shares ride with trailing stop at 20-EMA.
If NVDA continues to $152: another 185 × $6.75 = $1,249.
If NVDA reverses and hits trail at $142: 185 × $3.50 = $647.

Worst case remainder: still positive. Best case: upside capture.

Options Basics: Contracts, Premium, and Why 100 Matters

An option contract gives you the right (not the obligation) to buy or sell 100 shares of a stock at a specific price before a specific date. That's it. Everything else is mechanics.

The five things on an options quote

Why options exist for traders

Two reasons beginners care about:

• Leverage. $210 controls 100 shares of a $138 stock — roughly $13,800 of exposure. Small price move in the stock = big % move in the option.
• Defined risk. Max loss on a long call is the premium paid. If NVDA goes to zero, you lose $210, not $13,800.

Theta: Why Options Die Slowly

Theta is the amount an option loses in value per day, all else equal. It's always negative for long options — you lose money every day just from time passing, even if the stock doesn't move.

Why theta exists

An option is a bet that the stock will move a certain distance by a certain date. Every day that passes is one less day for that move to happen. The option becomes statistically less likely to finish in-the-money, so its price drops to reflect that.

The acceleration problem

Theta is not linear. A call 60 days from expiration loses value slowly. The same call 5 days from expiration loses value rapidly — theta decay accelerates as expiration approaches.

Practical implications

• Short-dated options (<7 days) are high-theta. Directional bets that need to work fast.
• Longer-dated options are slower-theta. Give your thesis more room to develop.
• If your trade needs to hold through expiration week, factor in the extra decay — it can erase a win even if you're directionally right.

Gamma: Why Delta Changes

Gamma is the rate of change of delta. Delta tells you how much the option moves per $1 of stock movement. Gamma tells you how much delta itself changes as the stock moves.

This is why the dashboard says "delta approximation." For small stock moves, delta stays roughly stable — the calculator's math is good. For large moves, delta shifts, and the actual option behavior diverges from the linear estimate.

The key insight: gamma makes winners bigger and losers smaller (for long options)

When you're long a call and the stock moves up, delta increases (from 0.45 → 0.55 → 0.65). Each additional dollar in the stock produces a bigger option gain than the last. This is gamma working for you.

When the stock moves against you, delta decreases (from 0.45 → 0.35 → 0.25). Each additional dollar of adverse move produces a smaller option loss. Gamma cushions the downside.

When gamma matters most

• At-the-money options (strike near current price) have the highest gamma.
• Near-expiration options have extreme gamma — a small stock move can crush or double the option in hours.
• Deep in-the-money options have low gamma (delta is already ~1.0 — it can't change much).

Gap and Gap Fill

A gap happens when a stock opens at a meaningfully different price than where it closed the day before. Stock closes Monday at $100, opens Tuesday at $104 — that's a $4 gap up. Overnight news, earnings, or broad market moves create gaps.

Why gaps create trades

Gaps are emotional moves. They happen in a single overnight window, not through normal price discovery. This means they often over-shoot — the stock moves more than the news actually warrants — and then has to reconcile with reality during the session.

Three gap behaviors

Gap and Go

Stock gaps up, and keeps going. Usually on strong, unambiguous news. Don't fade these. If anything, buy the first pullback.

Gap Fill

Stock gaps up, runs out of buyers, and drifts back down to "fill the gap" — i.e., trade back to the prior day's closing price. This is your playbook setup. You're betting against the overnight emotion.

Gap and Trap

Stock gaps up, holds the gap for an hour, then reverses hard. Late buyers get trapped. This is the most treacherous variant — enter too early, you catch the knife.

Setup: Stock gaps >2% with no major news catalyst
Entry: 5-min reversal candle after the opening range
Stop: Above the gap high (for a short) / below the gap low (for a long)
Target: The prior day's close (where the gap "fills")
Risk: 0.5% account risk (day trade)

Reading the Economic Calendar

The economic calendar is a schedule of government data releases and central-bank events. These create binary risk — a known time when a known event will either confirm or reject the market's current positioning. They move markets violently, even when the number comes in "as expected."

The big ones (in rough order of market impact)

How to use the calendar

Not to predict the number. You cannot. Institutions with supercomputers and PhDs guess wrong constantly. Don't play that game.

To avoid getting run over. If CPI prints Wednesday at 8:30 AM, and you hold a swing position Tuesday night, you're holding a pure gamble on CPI. That's not a trade, that's a coin flip.

The standard rule

1. The day before a high-impact event: reduce size on holdings, tighten stops, or close discretionary swings.
2. Day of event: no new entries in the 2 hours before release.
3. After release: wait 15–30 minutes for initial whips to settle before considering any new positions.

Index and Sector Shorthand

Traders use shorthand for everything. Here's the essential vocabulary to read any market note (including the ones in your dashboard).

Major indices

Sector shorthand (with their ETFs)

"SPX above 20MA, trend intact. Semi's leading (SMH +4% last week).
Wednesday CPI — reduce size Tue close if holding."

Retest Mechanics: What Makes a Good One

A retest happens when a stock breaks a key level, then returns to test that level as the opposite type of support/resistance. Breaks above resistance → resistance becomes support → stock pulls back to it → that's the retest.

Retests exist because buyers who missed the breakout want a second chance. When the stock comes back to the breakout level, those buyers step in, creating a higher-probability entry than chasing the original move.

What makes a retest high-quality

Clean break

The original break above resistance needs to be decisive — wide candles, strong volume, no hesitation. Weak breaks are prone to full failure, not just a retest.

Volume profile on the retest

The retest itself should happen on lower volume than the breakout. High volume on the pullback means heavy selling — the retest is likely to fail. Low volume means the sellers are done and the pullback is just rest.

Time

Retests that happen within 2-5 days of the breakout are high quality. Retests that take 3+ weeks to develop usually mean the stock has lost momentum — the crowd has moved on.

The level holds

Ideal: stock pulls back to the level, touches it briefly, reverses. Marginal: stock dips slightly below, then recovers on the same day. Avoid: stock closes below the level for multiple sessions — that's a failed breakout, not a retest.

Expectancy Beats Win Rate

Ask a trader how they're doing and they'll tell you their win rate. It's the first number everyone reaches for and close to the least useful one in isolation.

Two traders. Both took 100 trades.

Trader A wins nearly three out of four trades and loses money. Trader B is wrong most of the time and prints. Nothing here is a trick — this is the most common shape of a losing trader, and the win rate is what hides it from them.

A wins small and loses big. That's what "cut winners early, hold losers" looks like once it's arithmetic instead of a feeling.

The formula

Expectancy is what one trade of a setup is worth on average:

Expectancy = (Win rate × Average win) − (Loss rate × Average loss)

Trader A: (0.70 × $300) − (0.30 × $900) = $210 − $270 = −$60 per trade
Trader B: (0.40 × $1,200) − (0.60 × $400) = $480 − $240 = +$240 per trade

Every trade A takes costs $60 on average. Not sometimes — on average, over enough trades. More volume makes it worse. Bigger size makes it worse faster. There is no position size that turns a negative expectancy setup positive; sizing only sets how fast you find out.

Payoff ratio

Divide the average win by the average loss and you get the payoff ratio.

• Trader A: $300 / $900 = 0.33
• Trader B: $1,200 / $400 = 3.0

This is the realized version of the R:R you planned at entry. Compare them and you'll usually find realized is worse than planned. That gap is not bad luck. It's the sum of every early exit, every widened stop, every "I'll just give it a little more room."

Back to NVDA

Planned R:R was 2.50. It hit target cleanly, so that trade realized close to plan. One trade proves nothing. The real question: across every Breakout Retest you take, does the payoff ratio hold near 2.5, or does it decay toward 1.2 because you take most of them off at +1R when they get uncomfortable?

You will not know from memory. Memory keeps the ones that hit.

What to do with this

Open Journal → Setup Stats. For each setup, read three numbers together and never one alone:

1. Win rate — how often
2. Payoff ratio — how much
3. Expectancy — what the combination is actually worth

R-Multiples: The Unit That Survives Your Account Growing

You made $2,497 on NVDA. Good trade?

You can't answer that. Not because the number is small — because it's the wrong unit. $2,497 on a $100k account risking 1% is +2.5R, a clean win. The same $2,497 on a $2M account risking $40k is +0.06R, a rounding error that tied up capital for two days.

Dollars measure the outcome. They don't measure the outcome relative to what you put at stake, and that's the only comparison that stays true as your account changes.

R, revisited

1R = the dollar amount you planned to lose if your stop hit.

Why the journal needs it stored

R is only computable if DESK knows what you risked at entry. Reconstructing it later from entry and exit prices doesn't work — the stop moved, or you don't remember where it started.

So the risk calculator writes the dollar risk onto the trade when you log it. That single field is what makes every downstream statistic possible: expectancy in R, the Kelly ceiling, comparison across setups and across years.

Trades logged without it — anything you typed straight into the journal, and every trade from before this feature — still get dollar-based stats. They just can't contribute to R stats. The setup card shows what percentage of trades had it recorded. If that number is low, your stats are thinner than they look.

Thinking in R

• "I'm down 4R this week" travels across any account size and tells you something real.
• "My average winner is 1.8R, my average loser is 1.2R" is a payoff ratio of 1.5 — and now you know what to fix.
• "This setup is +0.4R expectancy over 30 trades" is an edge you can size against.
• "I've never had a loss bigger than 1R" means you haven't held through a gap yet. Not skill. Sample.

Sample Size, and Why DESK Hides Numbers From You

This lesson tells you that you don't know things you feel like you know. Read it anyway.

The gate

Open Setup Stats with a new setup and you'll see win rate, payoff ratio, expectancy — and where the Kelly ceiling should be, this instead:

The math would run fine on 7 trades. It would produce a confident-looking percentage with two decimal places. It would be worthless, and worse than worthless, because a number with decimals in a clean UI reads as knowledge.

Why five wins is nothing

Flip a fair coin five times. Getting five heads happens about 3% of the time. Rare — but not remotely rare enough. Take twenty setups, trade each five times, and roughly one of them shows you a perfect record built out of nothing but variance.

That's the setup you'll fall in love with. It has a story attached. You'll remember what the tape looked like.

What sample size buys

Roughly, the uncertainty in a measured win rate shrinks with the square root of the sample. Concretely, for a setup whose true win rate is 50%:

(Normal approximation — indicative, not exact, and it degrades at the extremes.)

Read the n=20 row carefully. Even at twenty trades, a coin-flip setup can measure anywhere from 27% to 73%. Twenty is not where you know things. Twenty is where the number stops being pure fiction.

That's the honest reason for the gate. It isn't a threshold of confidence. It's a floor below which the display would be actively misleading, and the smallest number that doesn't make the feature useless for a year.

The regime matrix, same rule

The regime × setup matrix hides win rate below 5 trades per cell and shows only the count. This is where sample size bites hardest — split 40 trades across 4 regimes and 3 setups and you have twelve cells averaging three trades each. Every one of them will show a pattern. None of them mean anything.

The cells will fill in over quarters, not weeks. That's the honest timeline.

What the counts are still telling you

• "3 of 20" — you've barely traded this. Any opinion you hold about it is theory.
• "19 of 20" — one more decided trade and it unlocks. Don't force one.
• A setup with n=45 and one with n=6 — you have a real setup and a hobby. The playbook rule about three wins before entry was about this, and n makes it enforceable instead of remembered.

Kelly as a Ceiling, Not a Target

Where the number comes from

In 1956, John Kelly Jr. — a physicist at Bell Labs, working on signal transmission over noisy phone lines — published a short paper called A New Interpretation of Information Rate. It's about gambling on horse races with inside information arriving over a noisy wire. It contains, almost incidentally, the formula for how much of your capital to bet.

The paper is free: kelly_56.pdf — nine pages, and about half of it is readable without the information theory.

Ed Thorp read it, took it to blackjack, then to markets, and compounded roughly 20% a year for three decades. His summary is the part worth keeping: the signal was never the edge. The sizing was.

The formula

f* = W − (1 − W) / R

W = win rate
R = payoff ratio (average win / average loss)

Your Breakout Retest, hypothetically, at 45 trades: 55% win rate, payoff ratio 2.0.

f* = 0.55 − 0.45 / 2.0 = 0.325

Full Kelly says risk 32.5% of capital on this trade. That number should alarm you. It's correct, and following it would destroy your account.

Why full Kelly is unusable

Kelly's proof assumes you know W and R exactly. Kelly knew the horse's true odds. You have an estimate off 45 trades, on a market that isn't stationary, from a sample that (per the previous lesson) still has a wide band around it.

Overestimate your edge and Kelly overshoots badly — the penalty for betting above optimal is much steeper than the penalty for betting below. And the whole calculation assumes losses cap at 1R, which the R-multiples lesson already showed is false. Gaps don't respect your stop.

Then there's the tail. Price returns aren't normally distributed — the bell curve underweights extreme moves, and the extremes are exactly what a Kelly-sized position can't survive. The 10-sigma move that shouldn't happen in a hundred lifetimes shows up on a Tuesday, with your 32.5% position on.

Fractional Kelly

The practical answer is to bet a fraction. DESK uses quarter-Kelly.

Quarter-Kelly on the example: 32.5% / 4 = 8.1%.

Still nowhere near your 1% preset — which is the normal result, and the point. Fractional Kelly gives up a modest amount of growth for a large reduction in drawdown, and it buys margin for the fact that your W and R are estimates rather than facts.

How DESK actually uses it

The number is a ceiling. It is not a target and not a recommendation.

An Over flag is a question, not an order: why is my A+ preset at 1.5% when this setup's measured edge supports 0.8%? Legitimate answers exist. The sample may be recent and unrepresentative. The setup may be genuinely improving as you learn it. "Because 1.5% feels right" is not one of them.

The flag will fire on you

Expect this: as your sample grows, quarter-Kelly will often land below your A+ preset, and 1.5% will flag Over. That's not a bug. Most traders' A+ conviction exceeds their A+ data. The flag is the tool doing its job.

The reaction to watch for in yourself is the urge to explain it away. That reaction is more diagnostic than the number.

Negative expectancy

Sometimes f* comes out at or below zero. DESK shows: "Negative expectancy — no edge at any size."

Meaning: the win rate and payoff ratio combine to a losing proposition. Smaller size doesn't fix it. It only loses slower. This is the most valuable output the stats view produces and the one most likely to get argued with. The playbook rule already covers it: 0-for-5 comes out. The stats view just makes it undeniable.

The stack

Kelly is one layer of six, and the least useful one alone:

Kelly with no signal sizes you into noise. Signal with no Kelly sizes you out of the game before the edge shows up. Both with no discipline means you had a system and didn't run it.