US Options Course · Part 4 Portfolio and risk management · Chapter 14

Systems and process

The result of any single trade is largely luck. Only the process can be tested and improved. This chapter strings the tools from the first thirteen chapters into nine fixed steps, and shows you how to use your own journal to work out each strategy's real expectancy and judge whether the sample is big enough to draw a conclusion.

In this chapter
  1. Opening: one view, three outcomes
  2. 14.1 The nine-step process
  3. 14.2 A view in three dimensions
  4. 14.3 The strategy selection matrix
  5. 14.4 Strikes, expiration and size
  6. 14.5 Executing the entry
  7. 14.6 Write management rules before you enter
  8. 14.7 The options trading journal
  9. 14.8 Thinking in expectancy
  10. 14.9 The weekly scan
  11. Two cases
  12. Checklist and self-test

After this chapter you can

  • Write any trade idea as three sentences: direction, volatility and time
  • Choose a structure by direction × IV environment × event, and say why you didn't choose the other two
  • Use your journal to compute each strategy's expectancy and 95% interval, and judge whether the sample is big enough

Prerequisites

  • Chapter 6: IV Rank, realized and implied volatility
  • Chapters 7–10: buyer, seller, neutral and event strategies
  • Chapter 13: measuring position size and stress testing

Conventions

  • Examples use Black-Scholes with a 4% rate and no dividends
  • Days are calendar days, 365 to a year; one contract = 100 shares
  • Journals, scan tables and simulated data are all fictional

OpeningOne view, three outcomes

You think XYZ (stock at $200) will rise to around 215 within a month. It reports earnings in 10 days, and implied volatility has been bid up to 55% ahead of the report. Three traders, A, B and C, see it exactly the way you do, and each places a trade.

The stock then does just what you all expected: 203 on day 7, a jump to 206 after earnings on day 10 with IV falling back to 32%, and 212 by day 30, up 6% for the month. Here is how the three traders did.

Table 14-0 One bullish view, three structures: results on day 30 (per share, $)
TraderStructureCostValue on day 30ReturnMissing sentence
A7-day 210 call (IV 40%)1.210 (expired)−100%Time
B45-day 200 call (IV 55%)15.8413.61−14.1%Volatility
C45-day 200/215 call spread (IV 55%)5.949.31+56.9%None

A bought the cheapest option. It expired before earnings, which is why its IV was only 40%. But the move took until day 30 to play out: when the option expired on day 7 the stock was only at 203, and the option went to zero. B gave the trade enough time but bought a single call at 55% IV. After earnings IV fell 23 points, and the Vega loss ate the gain from the 6% rise. C used a spread: the short 215 call offset most of the Vega, and the short leg sat right on the target price. The same move made 57%.

All three made exactly the same call on direction, yet the results ran from −100% to +57%. The difference came from two things other than direction: volatility and time. This chapter turns C's thinking into a fixed process you can follow every time.

14.1The nine-step process

The process makes every trade answer the same nine questions. Only when the questions are the same can you compare results across trades and trace a mistake to a specific step.

Options trading is an environment of incomplete answers: a correct decision can lose money, and a wrong one can make money. From the P&L of a single trade you can't tell good judgment from good luck. The process breaks a trade into nine stages, each with a clear output, so in review you can ask “which step went wrong?” instead of just saying “this one lost.”

The nine-step process: steps 1–5 come before the order, and step 9 loops back to step 1Figure 14-1 · Schematic
1View 3 sentences + invalidation 2IV environment IV Rank · IV/HV · events 3Structure Matrix + trade-offs 4Strike & expiry Match target and catalyst 5Size Max loss ≤ 2% of account 6Entry Combo · mid · timing 7Manage 4 rules set before entry 8Exit Note which rule fired 9Record Snapshot · cause · stats Problems the journal turns up change how you write the next view
Before the order (1–5)Order (6)Holding (7–8)Review (9)
Any step can output “no trade.” If step 2 finds the options too expensive and no suitable structure, if step 3 finds no structure in the matrix with the right shape, or if step 5 shows that even the smallest size exceeds the risk limit, stop.
Table 14-1 The nine-step process: the question each step answers, and its output
StepQuestion to answerOutputSee
1 ViewWhat do I think will happen? One sentence each for direction, volatility and timeThree sentences, plus an invalidation price14.2
2 IV environmentAre options expensive or cheap right now? Is there an event before expiration?IV Rank, IV/HV, event datesChapters 6, 10
3 StructureWhich structure's payoff shape matches the three sentences?One structure, plus the reasons for not choosing the other two14.3
4 Strikes and expirationWhich leg corresponds to the target price, the invalidation price and the catalyst timing?Specific contracts14.4
5 SizeHow much do I lose in the worst case, and what share of the account is that?Number of contracts14.4, Chapter 13
6 EntryWhat order type, what price, what time of day?Fill price and slippage14.5
7 ManageWhat are the take-profit, stop-loss, time and adjustment rules?Four rules (written before entry)14.6
8 ExitWhich rule fired? Did you do anything outside the rules?Exit price and reason14.6
9 RecordWhich steps went right, and which went wrong?One journal row, plus attribution14.7, 14.8

Beginners spend most of their time on steps 1 and 8: finding opportunities, watching the screen, deciding when to sell. Long-run results depend more on steps 3, 5 and 7. The structure decides in which scenarios you make money, the size decides whether you survive the worst scenario, and the management rules decide whether losses get out of hand. All three are done before the order goes in and take almost no screen time.

14.2A view in three dimensions

An options view needs three sentences: direction, volatility and time. Write only the first, and you leave the other two variables to luck.

Buying stock takes only a direction. An option's price depends on the underlying price, implied volatility and time remaining all at once, which correspond to three Greeks: Delta, Vega and Theta. If you don't take a position on the last two, the market takes one for you: buying a single option automatically bets that “IV won't fall and the move will come fast enough.” That is how A and B lost in the opening.

How to write the three sentences

  • Direction sentence: “The underlying reaches ___ (target price) within N days; a break below ___ means I'm wrong (invalidation price).” A neutral view is also a direction sentence: “Stays between 95 and 105 for 30 days.”
  • Volatility sentence: “IV is ___% now, IV Rank ___, 20-day realized volatility ___%. I think IV will rise, fall or stay flat from here, because ___.”
  • Time sentence: “The catalyst is ___. It arrives on day ___ at the earliest and day ___ at the latest.”

Write the direction sentence so it can be compared with the market

Only when you write down a target price can you compare it with what the market is quoting. With the stock at $100, IV at 30% and 30 days to go, the market's 1-standard-deviation expected move is:

Expected move ≈ S × IV × √(T) = 100 × 0.30 × √(30/365) = ±8.60

T is in years. An at-the-money straddle costs about 0.8 times the expected move: here the straddle is 6.85, and 6.85 ÷ 8.60 ≈ 0.80. The factor comes from √(2/π).

Your target is 105 in 30 days, or 0.58 standard deviations. Working back from option prices, the market puts the probability of finishing above 105 at 28.4% (the N(d2) of the 105 call). If you think the probability is closer to one half, you disagree with the market, and buying calls makes sense. If you think it's only about 30%, your “bullish” view is no different from the market's pricing, and that isn't a trade.

The volatility sentence decides whether you buy or sell

The same at-the-money straddle is worth 6.85 at 30% IV and only 4.57 at 20% IV. If you have reason to think realized volatility over the next 30 days will be only 20%, then buying options priced at 30% means paying 6.85 for something worth 4.57. Even if you get the direction right, you are running into a headwind. In that case, favor selling structures or spreads, so Vega isn't working against you.

Three common failures, and the sentence each one left out

Table 14-2 Four ways to be right on direction and still lose money
FailureMissing sentenceWhat it looks likeRelated chapters
Expiration too soonTime sentenceBought a one-week option; the move came in week threeChapter 7
IV crushVolatility sentenceBought a single option before earnings; the stock rose and the option lost moneyChapters 5, 10
Move too smallThe target price in the direction sentenceBought the 110 call; the stock only got to 106Chapter 7
No invalidation priceThe invalidation price in the direction sentenceWrong, but held all the way to expirationChapter 13
Key point

If you can't write the three sentences, all you have is a “feeling.” Put feelings on a watchlist and trade only once they turn into three sentences. Often, by the time you reach the volatility sentence, you find that options are too expensive to make money even if you're right on direction, and the trade should be dropped or restructured.

14.3The strategy selection matrix

Pick one value for each of three dimensions—direction, IV environment and whether there is an event—and the structure is mostly settled. The matrix rules out structures with the wrong shape before you place the order.

How to set the three dimensions

  • Direction: bullish, bearish or neutral, taken from the direction sentence.
  • IV environment: split IV Rank into three tiers: below 25 is low, 25 to 50 is mid, above 50 is high. IV Rank = (current IV − 52-week low IV) ÷ (52-week high − 52-week low) × 100. Then cross-check with IV ÷ 20-day realized volatility (IV/HV): a high IV Rank with IV/HV below 1 means volatility itself has picked up, and options aren't actually expensive.
  • Event: whether there is an earnings report, FOMC meeting, CPI release, product launch or ex-dividend date during the period you plan to hold.
Table 14-3 Strategy selection matrix (direction × IV environment × event)
IV environment · eventBullishBearishNeutral
Low · no eventBuy a call (ATM, 45–90 days)Buy a put (ATM, 45–90 days)Calendar spread, or no trade
Low · eventBuy calls early, scale out before the eventBuy puts early, scale out before the eventBuy a straddle before the event, close it before the event
Mid · no eventCall debit spreadPut debit spreadIron condor (short strikes about 1× the expected move)
Mid · eventCall debit spread, held through the eventPut debit spread, held through the eventEvent calendar spread
High · no eventSell a put spread / cash-secured putSell a call spreadIron condor (a defined-risk short strangle)
High · eventSell a put spread, short strike outside the expected moveSell a call spread, short strike outside the expected moveEvent iron condor, small size
Each cell of the matrix gives a payoff shape that matches your three sentencesFigure 14-2 · Stock at 100; pick the three dimensions
Direction
IV environment
Event
P&L at expiry (front-month expiry for calendars)P&L today (entry day)
—Net premium at entry (per position)
—Max profit
—Max loss
—Net Vega / net Theta (per position)
Example IVs: low 18%, mid 30%, high 50%. When there is an event, the leg that expires right after it is priced at 1.35 times IV, which returns to normal once that leg expires. Strikes are multiples of the expected move, rounded. Click “Low,” “Mid” and “High” in turn and watch net Vega go from positive to negative: the higher the IV, the more the structure leans toward selling options.

Three rules behind the matrix

  1. IV sets the sign of Vega. Use buying structures when IV is low (net Vega positive), selling structures when IV is high (net Vega negative) and spreads when IV is in the middle (net Vega near zero), so that direction becomes the main source of profit and loss.
  2. An event means risk must be capped. IV gets bid up before an event and collapses after it. “Buy before the event, sell before the event” and “sell before the event, buy back after it” are two completely different trades. If you hold through an event, the structure must have a known maximum loss.
  3. Neutral views are the most sensitive to IV. A neutral structure earns nothing from Delta; it can only make money from Theta or Vega. That is why neutral views are hardest when IV is low: sellers collect too little, and the most common right answer is not to trade.
When the matrix doesn't apply
  • The 52-week window includes one extreme episode: the IV high was pushed far up, so IV Rank looks low for the whole year that follows. In that case use IV percentile (how many days in the past year IV was below today's level) or compare with the multi-year median.
  • The underlying is going through a structural change: an acquisition, a restructuring, index inclusion. Its historical IV range no longer describes the future.
  • Poor liquidity: slippage on any structure can eat the edge the matrix gives you. Run the liquidity screen in Section 14.9 first.

14.4Strikes, expiration and size

Expiration follows the time sentence, strikes follow the direction sentence, and the number of contracts follows the worst case.

Table 14-4 Summary of strike and expiration rules
StructureExpirationStrikeWhen to manage
Long option≥ latest catalyst date × 1.5; usually 45–90 daysDelta 0.50–0.70 (ATM to slightly ITM)Exit before 21 days are left
Debit spreadSame as aboveLong leg ATM, short leg at the target priceAt 50–75% of maximum value
Credit spread / short put30–45 daysShort leg at Delta 0.15–0.30, or outside the expected moveAt 50% profit, or 21 days left
Iron condor30–45 daysShort legs about ±1× the expected move; wing width set by the risk budgetSame as above; act when either short leg's Delta reaches 0.30
Event tradeThe first expiration right after the eventPlaced by the event's expected moveFirst trading day after the event
Calendar spreadFront month 20–35 days, back month 50–90 daysATM or the target priceOne week before the front month expires

Where “expiration ≥ 1.5×” comes from

This rule of thumb rests on the “cliff” at expiration: if the catalyst comes even one day after expiration, the option goes to zero. Your sense of timing is usually less accurate than your sense of direction, so leave a margin for time. The chart below draws the trade-off: the stock sits at 100 until the catalyst arrives, then rises in a single step.

Leave the catalyst room in the expiration dateFigure 14-3 · Stock at 100, jumping in one step when the catalyst arrives
30-day expiry60-day expiry90-day expiry
—30-day option: latest catalyst day
—60-day option: latest catalyst day
—90-day option: latest catalyst day
The “latest catalyst day” is the last day on which the catalyst can arrive, with the position closed that same day, without a loss. ATM with a 6% rise: if the catalyst comes on day 10, the 30-day option makes 95% and the 90-day option 53%; if it slips to day 45, the 30-day option is worth zero while the 60- and 90-day options still make about 30%. Switch to the OTM 105 strike and the 30-day option's latest catalyst day moves up to day 27: cheaper options are less forgiving about timing.

When the catalyst arrives on time, short-dated options have the most leverage; when it arrives late, they go straight to zero. Longer-dated options make a bit less when the catalyst is on time and still hold value when it is late. If you say “about a month,” it could really be three weeks or six, so choose an expiration of roughly 1.5 times six weeks. Events with fixed dates are the exception: once the earnings date has been announced there is little timing uncertainty, and the first expiration after the event will do. What you have to worry about then is IV crush.

Where “exit with 21 days left” comes from

Table 14-5 Time decay of an ATM option (stock and strike 100, IV 30%)
Days leftOption priceTheta per dayDaily decay as % of priceGamma
906.41−0.0380.59%0.0265
454.44−0.0521.17%0.0377
303.59−0.0621.74%0.0462
212.98−0.0742.47%0.0553
71.70−0.1247.30%0.0960
10.63−0.31950.4%0.2540

At 21 days left, each day's decay as a share of the price is more than twice what it was at 45 days, and it accelerates even faster after that. For buyers, this is the point where the cost of holding on gets steep. For sellers, little premium is left while Gamma keeps growing, so the same price move causes a bigger swing in Delta and the risk/reward gets worse. The rule doesn't apply to deep ITM options or to LEAPS with more than a year left; their Theta is small to begin with.

The sellers' “short leg at Delta 0.15–0.30” can be read with the probability interpretation from Chapter 4: a put with a 0.20 Delta has about a 20% chance of finishing in the money, but close to a 40% chance that the stock touches the strike at some point before expiration. So design management rules around a “touch,” not just around expiration.

Size: work back from the worst case to the number of contracts

Contracts = ⌊ Account equity × Per-trade risk capMax loss per contract ⌋

For defined-risk structures, the maximum loss is the debit paid, or the spread width minus the credit received. For structures without a cap, use the stress-test loss from Chapter 13 instead (for example, the repriced value after a 20% gap in the underlying). This course caps the risk on any single trade at 1%–2% of the account, and positions in the same direction are added up on a beta-weighted basis (Chapter 4).

For example, with an $80,000 account, a 2% per-trade cap is $1,600. If one spread's maximum loss is $489, you can trade ⌊1600 ÷ 489⌋ = 3 spreads. Note that the number of contracts is the last thing you calculate. Don't decide on “10 contracts” first and then go looking for a structure.

14.5Executing the entry

Execution won't turn a bad trade into a good one, but it can leak away a good trade's edge bit by bit. Spread orders, limit prices, timing and scaling in are four ways to plug the leaks.

The example below uses a 30-day 100/105 call spread. With the stock at $100 and IV at 30%, the two legs have theoretical values of 3.59 and 1.66. Suppose the quotes are as follows:

Table 14-6 Quotes for the two legs and three fill prices (per share, $)
ContractBidAskMidSpread as % of mid
100 call (buy)3.503.703.605.6%
105 call (sell)1.601.721.667.2%
The spreadNatural 2.101.94Theoretical 1.93

1. Use a combo order, not separate legs

Placing the two legs as separate orders is called “legging in.” Suppose you first buy the 100 call at 3.70, and before you can sell the 105 call the stock drops $0.50: the 105 call's mid falls from 1.66 to 1.51, and you can only sell at about 1.45. Your total cost becomes 3.70 − 1.45 = 2.25, 0.31 more than the combo order's mid, or $31 extra per spread. The stock could just as well move in your favor, but that amounts to placing an extra directional bet with no edge at entry. A combo order also guarantees that both legs fill together, never just one.

2. Start the limit at the mid

The natural price of 2.10 is the “fill right now” price; the mid of 1.94 is the average of the two sides. Start your order at the mid and give up $0.01–0.05 every minute or two; you will usually fill near the mid. The difference looks small: 0.16 per spread, $160 for 10 spreads. But this spread's maximum profit is only 5 − 1.94 = 3.06. Filling at the natural price both in and out gives up 0.32 on the round trip, or 10.5% of the maximum profit. Selling strategies make less per trade, so for them the percentage is even higher.

The bid–ask spread as a percentage of the mid is a direct measure of liquidity. This course's threshold: no more than 10% near the money, and within 5% is better. On contracts above 15%, almost no strategy can cover the cost of execution.

3. Avoid illiquid times of day

  • The first 15–30 minutes after the open: market makers are still adjusting quotes for overnight news, spreads are wide, and IV often runs high. Options bought in this window tend to be overpriced.
  • The last few minutes before the close: quotes widen, especially on contracts close to expiration.
  • Around data releases: just before and after CPI, FOMC statements and similar events, quotes can briefly disappear or widen sharply.
  • Outside regular trading hours: single-stock options trade only during regular hours. Some index options have extended sessions, but liquidity there is clearly worse.

4. Planned scaling in

Splitting a position into 2–3 tranches that enter on time or price conditions reduces timing error. For example, you plan 3 spreads: 2 today, and 1 more if the underlying pulls back to a support level within 5 trading days without breaking the invalidation price. The scaling conditions must be written down before the first tranche. Deciding after a loss to “buy a little more to bring down the cost” is not scaling in; it is the averaging down to rescue a losing trade that Chapter 15 covers.

14.6Write management rules before you enter

Management rules must be written down before you enter. Once you hold the position, an open profit makes you want to lock it in early and an open loss makes you want to wait a little longer. The position has already changed your judgment.

Write four rules for every trade: take-profit, stop-loss, time and adjustment. The table below gives starting points by structure; adjust the numbers based on your own journal statistics.

Table 14-7 Starting points for management rules, by structure
StructureTake-profitStop-lossTimeAdjustment
Long optionTarget price reached, or option +50% to +100%Underlying breaks the invalidation price, or option −30% to −50%21 days left; or a third of the time gone with no moveNo averaging down; roll out at most once
Debit spreadAt 50–75% of maximum valueUnderlying breaks the invalidation price, or spread −50%21 days leftMove the short leg up at most once
Credit spread50% of the credit earnedLoss reaches 2× the credit21 days leftRoll once, only for a net credit
Iron condor25–50% of the credit earnedLoss of 1–2× the credit, or a short leg's Delta reaches 0.3021 days leftMove the untested side in once
Event tradeAct after the open on the first trading day after the event, win or lose; don't keep holding the original structure after the eventNo adjustments

What these rules actually change

Let's test three common credit-spread rules with a simulation. Sell a 45-day 92.5/87.5 put spread: stock at $100, IV 30%, short-leg Delta −0.20, credit 0.81, maximum loss 4.19. Assume realized volatility of 25% (below implied, so the seller has an edge), reprice at IV 30% at each day's close, and simulate 20,000 paths.

Table 14-8 One credit spread, four sets of management rules: simulated results (per spread, $)
RuleWin rateAvg winAvg lossExpectancy per tradeAvg holdExpectancy per 30 days heldWorst 5% avg
Hold to expiration82.7%79−28017.145.0 days11.4−419
50% take-profit only87.9%48−3144.120.7 days6.0−419
50% take-profit + 2× stop82.3%47−1836.517.4 days11.2−214
Plus close at 21 days left73.5%43−1005.415.1 days10.7−191
  • A take-profit on its own lowers expectancy. It cuts the winners short and leaves the losers as they were; expectancy per 30 days held falls from 11.4 to 6.0.
  • Take-profit plus stop-loss: expectancy about the same, tail cut in half. Expectancy per 30 days is 11.2, almost the same as holding to expiration; the average loss in the worst 5% drops from −419 to −214, and the standard deviation of single-trade results drops from 149 to 89.
  • Rules mainly change the shape of the distribution. With a smaller tail, the same risk budget can carry more trades, and the account is less likely to be badly hurt by a run of bad luck.
Limits of the simulation

This assumes you can always exit at the daily close. A gap jumps straight past the stop, and the real loss is larger than in the simulation. More important, the simulation assumes the seller has an edge (realized volatility of 25%, below the 30% implied). Without that edge, no management rule can turn expectancy positive; rules can only make the losses arrive more slowly.

From the field

A few common practices. First, write the stop-loss for an options trade as an underlying price, for example “exit if the underlying closes below a given support level.” IV swings so much around earnings that the option price itself gets distorted, and a stop on the option price can knock you out because of IV rather than direction. Second, the “30/30” rule: if 30% of the holding period has passed with no move, or the option has lost 30% of its value, close or roll. The first half is easy to follow; for the second half, first confirm that the original thesis no longer holds. Third, put lottery-ticket short-dated options only into a small slice of realized profits, and never touch principal for them.

14.7The options trading journal

An ordinary trading journal records buys, sells and profit and loss. An options journal also has to record the volatility, Greeks, expected move and events at entry. Otherwise, when you review, you can't tell whether you made money from direction, from volatility or from time.

Six fields an ordinary journal doesn't have

  1. IV, IV Rank, IV/HV: shows whether you bought when options were expensive or sold when they were cheap. After three months, grouping results by IV environment often reveals one environment in which you keep losing.
  2. Greeks snapshot: the whole position's Delta (shares), Gamma, Theta ($/day) and Vega ($/IV point). Record it at entry, at exit and after each event.
  3. Expected move: one standard deviation to expiration and to the event. Compare it with the actual move at exit, and you'll know whether you made money because “I was right” or because “the move was bigger than the market expected.”
  4. Event: type and date. Keep separate statistics for event trades.
  5. Reason for the structure: why this one, and why not the other two. A few months later, this column is often the most valuable.
  6. R-multiple and attribution: P&L ÷ planned maximum loss, so trades of different sizes can be compared. For attribution, pick exactly one of four categories: judgment error, execution error, risk-management error, or normal variance.
Options trading journal templateTool 14-A · Copyable
OPTIONS TRADING JOURNAL  No.: ____  Date: ____  Account equity: ____
Underlying: ____  Underlying price: ____

[View: three sentences]
Direction: reaches ____ (target price) within ____ days; a break below ____ means I'm wrong (invalidation price)
Volatility: IV ____%  IV Rank ____  IV/HV20 ____  My view: ____
Time: catalyst ____, earliest day ____, latest day ____

[What the market is pricing]
Expected move (1σ): to expiration ±____  to the event ±____
Event: ____ (earnings / FOMC / CPI / ex-dividend)  Date ____

[Structure]
Structure: ____  Legs: ____ (strike / expiration / contracts / buy or sell)
Why this one: ____
Why not the other two: ____
Greeks snapshot (whole position): Δ ____ shares  Γ ____  Θ $____/day  Vega $____/IV point
Max profit ____  Max loss ____  % of account ____%  Breakeven ____

[Entry]
Mid ____  Fill ____  Slippage ____  Time of day ____  Scaling conditions ____

[Management rules: written before entry]
Take-profit: ____
Stop-loss: ____ (as an underlying price)
Time: ____
Adjustment: ____ (at most ____ times)

[Exit: fill in afterward]
Date ____  Fill ____  P&L ____  R-multiple ____  Held ____ days
Exit snapshot: Δ ____  IV ____  Actual move in underlying ____ (vs. expected move)
Trigger: take-profit / stop-loss / time / outside the rules
Rule broken: yes / no  Which one: ____
Attribution: judgment error / execution error / risk-management error / normal variance
If I did it again: ____

Spreadsheet header row:
Date,Underlying,Structure,DTE,Contracts,IV,IVRank,IV/HV,Expected move,Delta,Gamma,Theta,Vega,Event,Max loss,% of account,Fill,Exit price,P&L,R-multiple,Days held,Trigger,Violation,Attribution
Copy it and paste it into a notes app or spreadsheet, one per trade. If the browser won't allow automatic copying, the template text is selected for you; just copy it by hand.

Be especially careful to log the trades that “made money but were done wrong”: you broke a rule, went over your size limit or chased an entry at a time you shouldn't have, and it happened to pay off. Losses force you to reflect; profits reward the wrong behavior. The more of these trades your journal holds, the more your profits depend on luck.

Using attribution

The four attribution categories call for completely different responses. Judgment error: go back to step 1 and improve how you write views. Execution error: fix your order habits in step 6. Risk-management error: fix steps 5 and 7. Normal variance: change nothing. The most common mistake is to treat normal variance as a judgment error and keep switching strategies on a method that actually works.

14.8Thinking in expectancy

Whether a strategy is good depends on its expectancy over dozens of trades. That number can only come from your journal, not from your gut.

Expectancy = p × avg win − (1 − p) × avg loss

p is the win rate. Set expectancy to zero and you get the breakeven win rate p* = avg loss ÷ (avg win + avg loss).

The breakeven win rate turns “is the win rate high enough?” into a question with a benchmark. A credit spread that makes $100 and loses $300 needs a win rate above 75% just to break even; an OTM buying strategy that makes $300 and loses $100 only needs 25%. Comparing these two strategies on win rate alone is meaningless.

Expectancy has error too

The expectancy you compute from a journal is a sample estimate: the smaller the sample, the larger the error. Call the standard deviation of individual results σ. The standard error of the average of N trades is σ ÷ √N, and the 95% interval is roughly expectancy ± 1.96 standard errors. If you only know the win rate and the average win and loss, you can approximate with a two-point distribution: σ = (avg win + avg loss) × √(p(1 − p)).

Example: win rate 80%, average win $120, average loss $300, 30 trades. Expectancy is 0.8 × 120 − 0.2 × 300 = $36, σ = 420 × 0.4 = $168, the standard error is 168 ÷ √30 = $30.7, and the 95% interval is [−$24, +$96], which includes zero. For the lower bound of the interval to turn positive you need about (1.96 × 168 ÷ 36)² ≈ 84 trades. The win rate itself has an interval of 80% ± 14.3%, or 65.7% to 94.3%, and the breakeven win rate of 71.4% falls inside it.

The smaller the sample, the wider the interval around expectancyTool 14-B · Expectancy calculator
Expectancy per trade95% interval boundsYour current number of trades
—Expectancy per trade
—95% interval at your current number of trades
—Trades needed for a positive lower bound
—Breakeven win rate
Change the win rate to 90% and the average loss to 1,000: the sign of expectancy stays the same, but the number of trades needed rises sharply. The more lopsided the wins and losses, the bigger the sample you need. The standard deviation here uses the two-point approximation; when a real strategy's losses have a long tail, you need even more trades.

Four easy statistical mistakes

  • The tail hasn't shown up yet. If a strategy has a 5% chance per trade of hitting its maximum loss, the probability of not hitting it once in 28 trades is 0.9528 = 23.8%. A loss you don't see in the sample still exists.
  • Mixing different structures in one set of statistics. Credit spreads and long single options have completely different payoff shapes, and an expectancy averaged across them tells you nothing. At least group by structure, and preferably by IV environment as well.
  • Using dollars instead of R-multiples. As your size grows, dollar statistics get dominated by the last few big trades. Convert to R-multiples (P&L ÷ planned maximum loss) and recompute.
  • Ignoring holding time. An expectancy of $20 over 40 days versus $15 over 10 days: the second uses capital far more efficiently per day (see Table 14-8).

14.9The weekly scan

Spend an hour each week running your underlyings through filters for liquidity, IV and the event calendar. This does more than watching the screen every day for opportunities to make sure you only trade where the matrix has an answer.

  1. Fixed candidate pool: 20–40 stocks and ETFs you know well, with liquid options. If an underlying isn't in the pool, you don't trade it this week.
  2. Liquidity filter: ATM bid–ask spread no more than 10% of the mid; open interest of at least 500–1,000 contracts at the main strikes.
  3. Event calendar: mark earnings, FOMC, CPI and ex-dividend dates over the next two to six weeks.
  4. IV metrics: IV Rank and IV/HV20. Besides IV Rank, look at IV percentile: the share of days in the past year with IV below today's. One extreme episode pushes the 52-week high up and keeps IV Rank low for a long time; the percentile is much less affected by it.
  5. Sort into buckets: seller candidates, buyer candidates, event candidates, skip.
  6. Write the three sentences: write a view for each candidate; if you can't, move it to “skip.”
Table 14-9 A weekly scan (hypothetical data; EEE is an index ETF)
UnderlyingPriceIV (52-week range)IV RankIV/HVATM spreadATM open interestNext eventBucket
AAA8548% (28–62)58.81.333%4,200Earnings in 26 daysSeller candidate
BBB14031% (24–70)15.21.072%9,800Earnings in 6 daysEvent candidate
CCC4265% (40–120)31.20.9312%300NoneSkip: liquidity
DDD31022% (18–40)18.21.294%2,500Earnings in 50 daysBuyer candidate
EEE78016% (11–33)22.71.331%50,000FOMC in 9 daysNeutral, small size
FFF5855% (35–58)87.01.456%1,800Earnings in 3 daysEvent candidate
GGG12038% (30–50)40.00.935%900NoneSkip: no view
HHH2590% (60–140)37.50.9520%150NoneSkip: liquidity
  • AAA: IV Rank 58.8 and IV/HV 1.33, so the options really are expensive. Earnings are 26 days out; choosing contracts that expire within 21 days avoids them, so use a selling structure.
  • BBB: IV Rank is only 15.2 ahead of earnings, which looks cheap. But the 52-week high of 70% probably came from a single event last year, which drags IV Rank down. First compare this report's expected move with the actual moves on the last few reports, then decide whether to buy or sell.
  • FFF: the IV Rank of 87 is propped up by earnings and will very likely collapse in 3 days. It suits an event calendar spread or a small event iron condor, not buying a single option.
  • DDD: IV is low and earnings are far off. If you have a directional view, it suits buying options or a debit spread; with no view, leave it alone.

The output of the scan is a short list of no more than three to five underlyings. For the rest of the week you do only two things: manage existing positions, and wait for names on the short list to meet their entry conditions.


CasesTwo cases

Case 1

From a macro view to an options position: all nine steps

Background (all hypothetical): inflation data has cooled for several months in a row, the market expects the FOMC meeting in 21 days may cut rates, and CPI comes out in 8 days. You think rate-sensitive small caps will benefit. A small-cap ETF (called IWM below; prices are hypothetical) trades at $250, with IV at 22%, a 52-week IV range of 17%–45% and 20-day realized volatility of 19%. Account equity is $80,000.

Step 1: View. Direction: IWM rises to around 262 within 6 weeks (+5%); a close below 241 means I'm wrong. Volatility: IV at 22% isn't high and is unlikely to drop much before the FOMC. Time: the catalysts are CPI on day 8 and the FOMC on day 21, giving the view about 42 days to play out. The market's expected move over 42 days is 250 × 0.22 × √(42/365) = ±18.7, and working back from option prices, the probability of being above 262 after 42 days is about 27.3%. You think it is clearly higher, so this is a view that disagrees with the market.

Step 2: IV environment. IV Rank = (22 − 17) ÷ (45 − 17) × 100 = 17.9, which is low; IV/HV = 22 ÷ 19 = 1.16, so options are a bit rich relative to realized volatility but not outrageously so. There are events: both CPI and the FOMC fall within the holding period.

Step 3: Structure. The matrix cell “bullish · low · event” says: buy calls or a call debit spread, and get in early. Compare the two (63 days to expiration, IV 22%):

Table 14-10 Two candidate structures (per share, $)
Metric250 call250/262 call spread
Cost (max loss)9.974.89
Breakeven at expiry259.97254.89
Value at 262.5 on day 4214.27 (+43%)8.19 (+67%)
Value if still at 250 on day 425.55 (−44%)4.05 (−17%)
Delta / Theta per day0.548 / −0.0860.201 / −0.010
Vega (per IV point)0.4110.028

Choose the spread. The reasons go into the journal: you don't need the upside beyond the 262 target, and selling it buys you half the cost and one-ninth of the Theta; the return is higher if the target is reached, and the loss is smaller if the stock goes nowhere. Not the single call, because IV/HV of 1.16 says options aren't cheap, so buying a single option has no clear edge. Not a short put spread, because IV is low and sellers collect too little.

Step 4: Strikes and expiration. A 42-day window times 1.5 is about 63 days, so choose the 63-day expiration. Long leg at the 250 strike, ATM (Delta 0.55); short leg at 262, matching the target price (Delta 0.35).

Step 5: Size. A 2% per-trade cap is $1,600; each spread's maximum loss is about $489, so trade 3 spreads.

Step 6: Entry. Quotes: 250 call 9.85/10.10, 262 call 4.98/5.17; combo mid 4.90, natural 5.12. An hour before the close, place a combo order at 4.90; two minutes later, raise it to 4.95 and get filled. Total cost is 3 × 495 = $1,485, or 1.86% of the account.

Step 7: Management rules (written before entry). Take-profit: IWM closes ≥ 262, or the spread ≥ 8.40 (70% of its maximum value of 12), whichever comes first. Stop-loss: IWM closes < 241, or the spread ≤ 2.45 (about −50%). Time: if the take-profit hasn't been hit with 21 days left, close everything. Event: you hold through the FOMC, but the 3 spreads together have a Vega of only $8 per IV point, so a drop in IV has little effect. Adjustment: no adding, no moving the short leg up.

Step 8: Exit. The path while the position was open, with the spread's mid price:

Table 14-11 Path of the position (spread value at the Black-Scholes mid)
DayEventIWMIVSpread valueOpen P&L, 3 spreads
0Open250.022%4.89−17
8CPI cools253.022%5.45+151
21Before FOMC255.023%5.84+266
22FOMC cuts257.520%6.54+477
30259.819.5%7.29+701
34Take-profit hit262.419%8.19+971

Look at day 22: after the FOMC, IV fell from 23% to 20%, and the spread actually benefited. Once IWM rose past 256, the midpoint between the two strikes, the short leg's Vega became larger than the long leg's, and the spread's net Vega turned negative (at the same price, it is worth 6.43 at IV 23% and 6.54 at 20%, $35 more for 3 spreads). On day 34, before the close, IWM moved above 262 (closing at 262.4). The take-profit condition fired, and the spread sold at 8.10, a little below the 8.19 mid, for a P&L of (8.10 − 4.95) × 300 = +$945.

Step 9: Record. R-multiple = 945 ÷ 1,485 = 0.64R, held 34 days. At exit, IWM had actually risen 12.4, against a 42-day expected move of 18.7, so the move did not exceed what the market expected. The take-profit followed the rules, with no violations. Attribution: the judgment was right and execution went to plan. One-line review: putting the short leg at the target gave the take-profit a clear price.

Takeaways

Of the nine steps, the ones that really take time are steps 1 to 3; the rest are almost mechanical. Because the management rules were written in advance, the decision on day 34 only required looking at a closing price, not judging again whether “it will keep going up.” The trade itself was only 0.64R. Its value is that the journal now has one more record that can be counted and that followed the process exactly.

Case 2

Expectancy from three months of journal statistics: which conclusions hold up

A fictional account made 76 trades in three months. Grouped by structure, the statistics are below. Every trade followed the management rules, and the stop-loss on credit spreads was set at about 2 times the credit.

Table 14-12 Simulated journal summary (per trade, $; the last cell of the Total row is total P&L)
StructureTradesWin rateAvg winAvg lossExpectancyStd dev95% intervalTrades for lower bound > 0
Short put spread2889.3%127302+80.7136[+30, +131]11 trades
Long options1643.8%486170+116.9379[−69, +303]40 trades
Debit spread1450.0%229141+43.6195[−59, +146]77 trades
Iron condor1060.0%128249−22.5200[−146, +101]—
Long straddle before earnings825.0%280241−110.6245[−281, +59]—
Total7661.8%+47.8+3,630

Checking the first row's expectancy with the formula: (25/28) × 126.6 − (3/28) × 301.7 = +80.7. 95% interval = expectancy ± 1.96 × std dev ÷ √trades; “trades for lower bound > 0” = (1.96 × std dev ÷ expectancy)².

Short put spread: the interval excludes zero, but the tail hasn't shown up. The 3 losses out of 28 trades were all around −$300, which shows the stop-loss is working. But this structure's maximum loss of about $420, which happens when a gap jumps past the stop, never appears in the sample. If its true probability is 6% and you add that in, expectancy drops from 80.7 to about 0.80 × 126.6 − 0.14 × 301.7 − 0.06 × 410 = 34.4. And at a 5% probability, the chance of not hitting it once in 28 trades is 23.8%. Conclusion: this strategy very likely has positive expectancy, but these 28 trades are no basis for increasing size.

Long options: looks best, actually the least certain. Expectancy of +116.9 ranks first, but the best two of the 16 trades were +895 and +710. Take those two out and the other 14 trades have an expectancy of only (1,870 − 895 − 710) ÷ 14 = +18.9. The interval runs from −69 to +303, and it takes about 40 trades to reach a conclusion.

Debit spreads and iron condors: the samples are too small to say anything. Debit spreads need about 77 trades. Iron condors show negative expectancy over 10 trades, but the interval runs from −146 to +101, so it may just be bad luck.

Long straddles before earnings: only 2 wins in 8 trades, losing $111 per trade on average. This isn't statistically significant yet either, but you can look for the cause in the journal's IV fields: if every entry was made at a very high IV Rank and IV collapsed after the event, this is the structural problem covered in Chapter 10, and you don't need to wait for a large enough sample to fix it.

Takeaways
  • 76 trades in three months support very few conclusions. The most common mistake is to size up the top-ranked “long options,” whose lead comes mainly from two trades.
  • Statistics tell you “where things are still uncertain”; the journal's other fields tell you “why.” Combine the two, and you can make sensible adjustments even when the sample is too small.
  • The sample-size problem won't go away: once you group by structure and IV environment, each group has even fewer trades. So keep records for the long run and review quarterly, not weekly.

ToolsChecklist and self-test

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14-1Before the order: five questions you must answer

14-2Entry: execution

14-3Management: four rules

14-4Weekly: scan and review

Self-test: five questions

1A strategy has a 70% win rate, an average win of $150 and an average loss of $300. What is its expectancy? What is its breakeven win rate?

Expectancy is 0.70 × 150 − 0.30 × 300 = +$15. The breakeven win rate is 300 ÷ (150 + 300) = 66.7%. The win rate is only 3.3 percentage points above breakeven, so a small error in the journal's win rate would flip the conclusion.

2A stock's IV is 40%, and over the past 52 weeks its IV ranged from 25% to 65%. What is the IV Rank, and which tier is it in?

(40 − 25) ÷ (65 − 25) × 100 = 37.5, the mid tier. By the matrix, directional views should favor debit spreads. Also check IV/HV: if realized volatility is around 40% too, the options aren't expensive.

3A debit spread: the long leg is quoted 2.40/2.60 and the short leg 1.10/1.25, and you trade 10 spreads. How much does the cost differ between filling at the natural price and filling at the mid?

Natural: 2.60 − 1.10 = 1.50; mid: 2.50 − 1.175 = 1.325. The difference is 0.175 per spread, or 0.175 × 100 × 10 = $175 for 10 spreads, and you pay a similar difference again on exit.

4A strategy in your journal has 30 trades, an expectancy of $25 per trade and a standard deviation of $200. Can you trust this expectancy? How many trades would be enough?

The standard error is 200 ÷ √30 = $36.5, and the 95% interval is 25 ± 1.96 × 36.5 = [−$46.6, +$96.6]. It includes zero, so you can't draw a conclusion yet. For the lower bound to turn positive, you need (1.96 × 200 ÷ 25)² ≈ 246 trades.

5You think a catalyst will arrive within 3 to 5 weeks and want to buy an ATM call. How do you choose the expiration? When do you exit?

Take 1.5 times the latest time of 5 weeks (35 days): at least about 53 days, so choose an expiration around 60 days. Time rule: exit at the latest with 21 days left, which means holding no more than about 39 days. If the catalyst still hasn't arrived by then, the time sentence was wrong: exit rather than rolling and stubbornly holding on.