Derivatives Part II:
Options, Greeks & Spreads

1.1 A contract with a deadline

A futures trader already understands one kind of contract: an obligation to buy or sell something at a set price later. An option is different in one key way. It gives the buyer a right, not an obligation. The buyer pays a price for that right, and the right expires on a set date.

A call option gives the buyer the right to buy the underlying at a fixed price. A put option gives the buyer the right to sell the underlying at a fixed price. The fixed price is the strike. The last day the right exists is the expiry (or expiration date). The price the buyer pays up front is the premium. The underlying here is a fund such as SPY (tracks the S&P 500) or QQQ (tracks the Nasdaq-100).

The seller (also called the writer) takes the other side. The seller collects the premium and accepts the obligation if the buyer uses the right. That is why the two sides are not mirror images in risk. A buyer can lose at most the premium paid. A seller of some options can lose far more than the premium collected. Lesson 6 returns to this.

1.2 The multiplier: 100 shares per contract

Option prices are quoted per share, but one standard SPY or QQQ contract covers 100 shares. That number is the multiplier. To find the cash cost, multiply the quoted premium by 100.

Hypothetical example. SPY trades at 600 (a round placeholder, not a real quote). A call with a 600 strike is quoted at 4.50. The cost is 4.50 x 100 = $450 for one contract. If the quote were 0.45, the cost would be 0.45 x 100 = $45. Quotes that look small can still be real money once the multiplier is applied.

1.3 Reading an option chain

An option chain is the menu of every strike and expiry for one underlying. Calls usually sit on one side and puts on the other. Each row is a strike. Each strike shows a bid (the best price a buyer is offering), an ask (the best price a seller wants), the volume traded today, the open interest (contracts still open), the implied volatility (IV, covered in Lesson 5) and often the delta (Lesson 3).

Two words come up constantly. In the money (ITM) means the option would have value if it expired right now: a call with the strike below the price, or a put with the strike above it. Out of the money (OTM) is the opposite. At the money (ATM) means the strike is close to the current price. An option's premium has two parts: intrinsic value (how far it is in the money, if at all) and time value (what the market charges for the chance of more movement before expiry).

1.4 Options on futures, briefly

Options also exist on futures, such as options on E-mini S&P 500 (ES) futures. The structure is the same, but the underlying is a futures contract and the multiplier is different. ES futures are worth $50 per index point, so an ES option's premium is also multiplied by $50. Hypothetical example: an ES option quoted at 40 points costs 40 x $50 = $2,000. A SPY option quoted at 4.50 costs $450. Always check the multiplier of the exact product on your broker's contract specifications page before you compare costs. Exercising an option on a future results in a futures position, not shares.

1.5 American and European style

SPY and QQQ options are American style: the holder may exercise on any trading day up to expiry. Some index options are European style: exercise only at expiry. This matters mainly for people who sell options, because an American-style option they sold can be exercised against them early (Lesson 6).

2.1 The long call at expiry

A payoff diagram shows profit or loss on the vertical axis and the underlying price at expiry on the horizontal axis. It ignores time before expiry, which makes it the simplest picture of an option. We start with a long call: a call you bought.

Hypothetical example. SPY is 600. You buy one 600-strike call for 4.50, paying 4.50 x 100 = $450. At expiry the call is worth the larger of zero and (SPY price minus 600). Your profit per share is that value minus the 4.50 you paid.

Look at the 600 row. SPY finished exactly where it started, which is not a loss on a stock position, yet the call buyer lost the full $450. Direction alone is not enough. The move must be large enough to cover the premium and must happen before expiry.

2.2 The long put at expiry

A long put gains when the underlying falls below the strike. Hypothetical example. SPY is 600. You buy one 600-strike put for 5.00, paying 5.00 x 100 = $500. At expiry the put is worth the larger of zero and (600 minus SPY price).

Check one point. If SPY falls to 585 at expiry, the put is worth 600 - 585 = 15.00. Profit per share is 15.00 - 5.00 = 10.00, so profit per contract is 10.00 x 100 = $1,000. If SPY ends at 598, the put is worth 2.00, the profit per share is 2.00 - 5.00 = -3.00, and the loss is $300: SPY fell, yet the buyer lost money.

2.3 Payoff versus reality before expiry

The diagrams describe the very end. Most traders do not hold to expiry. Before expiry the option still has time value, so its price follows a smooth curve above the hockey-stick shape. That curve is why Lessons 3 to 5 exist. For now, use the payoff diagram for two simple jobs: finding the breakeven and the maximum loss before you buy.

A skipped trade is often the right result of this exercise. Hypothetical example that is skipped. A trader hopes SPY will rise 1% in a week. SPY is 600, so 1% is 6 points. The 600 call costs 4.50, so the breakeven is 604.50, a 0.75% rise. The trader checks the next expiry before the hoped-for date and sees the option expires in four days. A move of 1% might arrive after expiry. The trader concludes the setup does not fit the time available and skips it. Noting why you skipped is as useful as logging a trade.

One more habit helps. Before buying, write the three numbers side by side: the cost in dollars (premium x 100), the breakeven price and the date the right expires. If you can state all three from memory in ten seconds, you understand the position well enough to size it. If you cannot, wait.

3.1 What the Greeks are

The Greeks are measurements of how an option's price is expected to change when one input changes. They come from a pricing model, so they are estimates, and they shift as the market moves. You do not need the maths. You need the meaning.

3.2 Delta: the one that matters first

Delta is the expected change in the option price for a 1-point move in the underlying. A call has a delta between 0 and 1. A put has a delta between 0 and -1 (it gains when the price falls). Per contract, multiply delta by the 100 multiplier.

Hypothetical example. A SPY call has a delta of 0.50. If SPY rises 1 point and nothing else changes, the call is expected to gain about 0.50 per share, or 0.50 x 100 = $50 per contract. With 5 contracts at delta 0.30, your position behaves like 5 x 100 x 0.30 = 150 shares of SPY for small moves. That 'share-equivalent' number is useful for comparing an options position with a futures position.

A futures trader can compare: one ES future has a delta of 1.0 to its own price. A 0.50-delta ES option behaves roughly like half an ES contract for small moves. That equals about 0.5 x $50 = $25 per index point. This is only an approximation.

3.3 Gamma, theta, vega

Gamma tells you how much delta changes when the underlying moves 1 point. It is largest for at-the-money options near expiry. High gamma means the position's behaviour changes quickly, which can help or hurt.

Theta is the daily cost of holding time value. Hypothetical example. A long option has a theta of -0.05. Each day, with everything else unchanged, it is expected to lose about 0.05 per share, or 0.05 x 100 = $5 per contract per day. Theta is negative for the buyer and works in the opposite direction for the seller. Lesson 4 explains why theta grows near expiry.

Vega measures sensitivity to implied volatility. Hypothetical example. An option has a vega of 0.10. If IV rises by 1 percentage point, the price is expected to rise 0.10 per share, or $10 per contract. If IV falls 5 points, the loss from vega alone is 5 x $10 = $50 per contract. Lesson 5 shows how this can erase a gain.

A loose rule of thumb, sometimes quoted by traders, says an option's delta is a rough guide to the market-implied chance of finishing in the money. Treat that as a heuristic only. It is model-based, not a prediction, and it says nothing about what will actually happen.

Putting the four together: a trader looking at a chain should read delta for direction exposure, gamma for how unstable that exposure is, theta for the daily cost of waiting, and vega for how much a change in nervousness matters. Two options with the same delta can behave very differently if one expires tomorrow and the other in three months.

4.1 Time value is a melting asset

Lesson 1 split an option's premium into intrinsic value and time value. Time value is the price of the chance that the underlying moves further before expiry. On expiry day, no chance is left, so time value is zero. Every day in between, some of it disappears. This steady loss is time decay, measured by theta.

The decay does not happen at an even speed. An option with a long time to run has plenty of room for something to happen, and each passing day takes only a small bite. In the last weeks the remaining chances shrink quickly, and the daily bite grows. At the money, this effect is strongest.

4.2 A worked illustration

Hypothetical example. SPY stays flat at 600 and implied volatility does not change. An at-the-money 600 call is priced like this on the way to expiry (round, illustrative numbers, not market quotes):

Total decay is 4.50 - 0.00 = 4.50 per share, or $450 per contract, which is the entire premium. Notice the rate: roughly 1.30 / 15 = 0.09 per day early on, then 1.30 / 10 = 0.13 per day, then 1.00 / 4 = 0.25 per day, then 0.90 in the last single day. The same dollars leak out of a shrinking window.

4.3 Buyers, sellers and an honest caution

Decay works against option buyers and, in a narrow accounting sense, in favour of option sellers. Because of this, premium selling is sometimes promoted as a way to 'collect income'. This guide does not make that claim. The seller accepts the risk of a large move, and the market tends to price that risk into the premium. Selling an option that expires worthless keeps the premium, but one bad move can cost many times that premium. Whether a given approach has an edge after costs is a question for your own tested data, not a promise from a book.

Short-dated options also carry high gamma. They can change value quickly in either direction, and the bid/ask gap is a bigger share of a small premium. A buyer needs the move to arrive soon and be large enough to beat the decay. This is why picking an expiry that gives your idea time to play out matters as much as picking a strike.

Decay also runs over weekends and holidays in the model, so an option held over a quiet weekend can open Monday with less time value even if the underlying has not moved. Check how your broker counts days to expiry before you compare two expiries.

Hypothetical example that fails. A trader buys a 600 call with 5 days left for 1.90 ($190), expecting a bounce. SPY drifts sideways at 600 for four days, then edges to 601. With 1 day left the call is worth about 1.40 (the intrinsic value is 1.00; some time value remains). The trader has lost 0.50 x 100 = $50 even though SPY ended above the strike. A bounce that comes too late is a missed bounce.

5.1 Implied volatility

Implied volatility (IV) is the market's pricing of how much the underlying may move, backed out of option prices. It is quoted as an annual percentage. Higher IV means options cost more, because bigger moves are expected. It is not a forecast of direction. It says nothing about up or down.

Realised volatility (also called historical volatility) is how much the price actually moved. When IV is above recent realised movement, options are priced richly by comparison. When IV is below, they are priced cheaply by comparison. Neither condition tells you what happens next. It only helps you see what you are paying.

A futures trader can think of IV like the width of the volume or VWAP bands: it describes how wide the market currently expects the range to be. A wider expected range makes the premium bigger for the buyer and the cushion bigger for the seller.

5.2 Events and IV crush

Before a known, scheduled event, such as a company's earnings report, a central-bank decision or a major economic release, IV tends to rise. Traders pay up for options because a large move is possible. Once the event passes and the uncertainty is resolved, IV usually drops sharply. This drop is called IV crush. SPY and QQQ do not report earnings themselves, but the big stocks inside QQQ do, and index-level events like central-bank meetings move their IV too.

Hypothetical example. A stock trades at 200 the day before earnings. An at-the-money 200 call costs 10.00 with IV at 60%. Assume delta 0.50 and a vega of 0.20 per IV point. The stock rises $4 to 204 after earnings, and IV drops from 60% to 40%, a fall of 20 points. Ignoring theta and gamma to keep the arithmetic simple:

The call lost 2.00 x 100 = $200 per contract although the stock moved $4 in the buyer's favour. The market had already priced in a big move. The actual move was smaller than what the price implied, so IV deflated. This is the pattern traders mean when they say 'right on direction, wrong on price'.

5.3 Using this knowledge

Understanding IV crush does not tell you what to do. It tells you what to check. Before holding an option through an event, ask: how much move is already priced in? Many platforms show an expected move, an estimate derived from option prices. If your idea needs a move larger than that, you are asking for more than the market expects. If it needs less, you are paying for movement that may not be needed.

Selling options before an event to benefit from IV crush looks attractive in the same way, but the seller takes the risk of the big move. A move larger than the one priced in can cause large losses, especially on undefined-risk positions (Lesson 6). Nothing here is a suggestion to do either; the aim is to know what the price already contains.

6.1 Vertical spreads

A vertical spread combines two options of the same type and expiry at different strikes: you buy one and sell the other. The option you sell pays for part of the one you buy, and it also limits the gain. The maximum loss and the maximum gain are both known when the trade is opened.

Hypothetical example, bull call spread. SPY is 600. You buy the 600 call for 4.50 and sell the 605 call for 2.50. The net cost (net debit) is 4.50 - 2.50 = 2.00, or 2.00 x 100 = $200. The width between strikes is 605 - 600 = 5.

Compare it with the single 600 call from Lesson 2: the spread costs $200 rather than $450, and its breakeven is nearer (602.00 versus 604.50), but the gain stops at $300. You gave up the upside above 605 in exchange for lower cost. A bear put spread is the mirror image for a falling market.

6.2 The iron condor

An iron condor combines a put spread below the price with a call spread above it, both sold for a net credit. It has four legs. It earns its maximum if the underlying finishes between the two short strikes, and loses on a big move in either direction.

Hypothetical example. SPY is 600. You sell the 590 put at 1.20 and buy the 585 put at 0.70. You sell the 610 call at 1.30 and buy the 615 call at 0.80. The net credit is 1.20 - 0.70 + 1.30 - 0.80 = 1.00, or $100. Each side is 5 points wide.

The shape shows a trade-off: a wide zone where the position keeps a small gain, paid for by a smaller zone where it loses more than it can make. Iron condors are defined-risk, yet the defined loss can still be large compared with the gain. Whether a given setup is worth taking depends on your tested data and your risk limit (Lesson 7). It is not endorsed here.

6.3 Undefined risk, assignment and pin risk

Early assignment. American-style options such as SPY and QQQ can be exercised by the holder at any time. If you have sold an option that is in the money, you can be assigned before expiry, and you receive an obligation to buy or sell 100 shares per contract. This is more likely for deep in-the-money options and for short calls just before a dividend date. In a spread, the long leg can protect against a loss but it does not always arrive in time: you may be assigned shares or a short stock position overnight, with a margin call and a morning decision. Know your broker's rules.

Pin risk. If the underlying finishes very close to a short strike at expiry, you may not know until after the market closes whether you were assigned. A weekend's news can then change the value of the resulting stock position. Many traders close short-option positions before expiry to avoid this uncertainty. On options on futures, assignment gives you a futures position at the strike, with its own margin requirement.

7.1 Size from the maximum loss

In futures, sizing starts from the stop distance. With a long option or a defined-risk spread, the worst case is known in advance: it is the debit paid, or the width minus the credit received. So sizing starts there. The rule is: contracts = account risk in dollars / maximum loss per contract, rounded down.

Hypothetical example. The account is $25,000 and the risk budget is 1%, which is $250. The 5-wide bull call spread from Lesson 6 has a maximum loss of $200 per contract. 250 / 200 = 1.25, so round down to 1 contract. The actual risk is $200, or 0.8% of the account.

Now the iron condor with a $400 maximum loss. 250 / 400 = 0.625, which rounds down to 0 contracts. The position does not fit the budget, and the correct decision is to skip it or choose a narrower structure. Squeezing in one contract anyway would risk 1.6% of the account.

Hypothetical example, small account. The account is $10,000 and the budget is 1%, or $100. A 1-wide spread with a 0.40 debit has a maximum loss of $40. 100 / 40 = 2.5, so round down to 2 contracts, a total risk of $80. The $200 spread from above gives 100 / 200 = 0.5, which is 0 contracts.

7.2 Liquidity: the cost you cannot see on the chart

Liquidity is how easily you can get in and out at a fair price. In options you check three things. Bid/ask spread: the gap between the best buy and sell prices. Volume: contracts traded today. Open interest: contracts still open from all prior days. High open interest and a tight spread usually mean easier trading. SPY and QQQ options are among the most liquid, but individual strikes and expiries still vary a lot.

Hypothetical example. An option is quoted 1.95 bid and 2.10 ask. The spread is 0.15, which is $15 per contract. The midpoint is (1.95 + 2.10) / 2 = 2.025. If you buy at the ask and could only sell at the bid, the round trip costs 0.15 x 100 = $15 per contract before any price change. On a $210 position that is about 7%. A four-leg trade has four spreads to cross, and the costs add up. Orders at the midpoint or a limit price can reduce this, but they may not fill.

Poor liquidity also affects exits. If a spread is hard to close, you may have to hold into expiry or accept a poor price. A stop order on an option can fill far from the trigger because the quoted spread is wide. Many traders use limit orders for options and avoid market orders on thin strikes.

A final note on futures options: ES options have their own multiplier ($50 per point), so the same sizing rule applies but the dollar maximum loss per contract is usually larger. Hypothetical example: an ES call spread with a 10-point debit has a maximum loss of 10 x $50 = $500 per contract, which would not fit a $250 budget at all.

8.1 Context, not a signal

If you read charts as a futures trader, you already own useful tools: VWAP (the volume-weighted average price for the session), its standard-deviation bands, value areas, and key levels like prior highs and lows. Options do not replace these tools. They change the question. For futures you ask 'where do I enter and where is my stop?' For options you also ask 'where is my breakeven, how much time do I have, and what am I paying for volatility?'

Chart context cannot tell you what will happen. It can show whether the price is sitting inside the day's usual range or living outside it, and that affects which questions are reasonable. This lesson uses the same ES charts as the earlier guides. Prices there are real ES futures; all option numbers here are hypothetical.

8.2 Value area and strike choice

A value area is the price range containing about 70% of a day's volume, with a point of control (POC) at its busiest price. Some traders watch the previous day's value area high (VAH), low (VAL) and POC as levels where price tends to react, or fail to. Context, not a prediction.

How does this help with options? In three small ways. First, breakeven check: if the breakeven of a call sits beyond a nearby key level that has stopped price before, the idea needs more than a simple move. Second, timing: the premium decays daily, so waiting inside a quiet range costs money. Third, risk definition: an idea that fails if price closes back inside the value area can be matched to a spread whose maximum loss you have already sized (Lesson 7).

A reminder on SPY versus ES: SPY moves in roughly the same direction as ES, but you must convert levels yourself, and the cash market hours differ from the nearly 24-hour futures session. All the SPY numbers below are round placeholders, not conversions of real levels.

8.3 Two hypotheticals: one fails, one is skipped

Hypothetical example that fails. On a day shaped like the Oct 30 trend day, a trader sees price stretched below the lower 2-standard-deviation band and thinks 'it must snap back to VWAP'. SPY is 600 hypothetically. The trader buys a one-day 600 call for 1.20, paying 1.20 x 100 = $120. Price stays beyond the bands and keeps falling to 595 by the close. The call expires worthless, and the loss is the full $120, or 100% of the premium. The mistake was not the loss itself; it was treating a stretched price as a reason when the day was a trend day. The trade log should say: 'Did not check whether the day looked like a trend or a reversion day before buying a one-day option.'

Hypothetical example that is skipped. SPY is 600 and sits in the middle of yesterday's value area. A trader likes the idea of a bounce toward the value area high, 4 points away at 604. The 600 call with 7 days left is quoted 1.60 bid and 2.00 ask. The breakeven is 600 + 2.00 = 602.00, so the 604 target is only 2 points past breakeven. At expiry the call would then be worth 4.00 against 2.00 paid, a gain of $200 at best, for $200 at risk. The bid/ask gap alone costs 0.40 x 100 = $40 round trip, which is 20% of that best-case gain. Price is mid-range with no nearby level to react to. The trader writes 'skipped: breakeven too close to the target, spread too wide, no location edge' and takes no trade. A skipped trade with a written reason is a good outcome.