14.2 Options
Key Takeaways
- Options markets exist to transfer defined risk and to publish a market price of expected movement; leverage and seller 'income' are byproducts, not the Level I purpose statement.
- Major terms are underlying, call, put, strike, expiry, and premium; American style may be exercised anytime up to expiry, European only at expiry.
- The Greeks at Level I are one-line sensitivities: delta (underlying), gamma (delta's change), theta (time), vega (implied volatility), and rho (interest rates).
- Implied volatility is the volatility input that makes an option model reproduce the observed market premium; it looks forward, unlike historical volatility computed from past returns.
- Technicians read IV as a priced expected range, a sentiment charge for movement, and a test of whether a printed move was already expensive relative to what the options market was charging.
Options close Section Nine of the 2026 CMT Program Guide (unit 8). Like digital assets, the unit sits under Cross-asset Analysis inside Advanced Techniques (26% of CMT Level I). Level I wants the purpose of options markets, the major contract terms, the Greeks as definitions, a definition of implied volatility (IV), and why IV matters to a technician. This is not a Series 7 strategy dump: you will not be asked to construct butterflies or to compute a Black–Scholes price by hand. Independent OpenExamPrep teaching for these CMT Level I topics is not a CMT Association publication. Independent CMT Level I practice by OpenExamPrep is at /practice/cmt.
A later unit (16.3 Options-Derived Volatility) returns to how IV is pulled from a model, what elevates it, and what the VIX index measures. Learn the definitions here so that later unit has somewhere to land.
Purpose of options markets
An option is a contract that gives the buyer the right, but not the obligation, to buy or sell an underlying instrument at a stated strike on or before a stated expiry, in exchange for a premium.
Options markets exist to transfer risk and to price uncertainty. A portfolio manager who is long an equity index can buy puts to cap downside without selling the entire book. A producer can buy puts or sell calls to collar a commodity. A speculator can express a view on direction, timing, and volatility with less cash outlay than a full notional position in the underlying—and with a known maximum loss if they are the buyer (the premium paid).
That last clause is the technician's reason to care even if they never trade a single option. The premium is a market price of a defined slice of future movement. When many participants pay up for protection or for upside, that demand shows up as higher implied volatility. When they stop paying, IV falls. The options market is therefore a second tape about how expensive the crowd thinks the next move is.
Do not reduce the purpose to "leverage" or to "income." Leverage is a byproduct of the small premium relative to notional. Income from selling options is compensation for writing insurance. The economic purpose is risk transfer plus a public price of expected movement.
Worked sketch: Index at 5,000. A one-month 4,800 put costs 40 index points. The buyer has the right to sell the index at 4,800. Maximum loss is 40. The seller has taken the other side of that insurance. The 40-point premium is the market's current charge for that slice of downside. If that charge jumps to 80 with the index still at 5,000, the crowd is paying twice as much for the same strike—usually because implied volatility rose, not because the strike changed.
Major terms of an option contract
Memorize the vocabulary. Level I lists terms; it does not run a full listed-options operations course.
| Term | Meaning | Level I tell |
|---|---|---|
| Underlying | The asset the option references (stock, index, futures, ETF, even a crypto product) | The chart you already study; the option is a derivative of that series |
| Call | Right to buy the underlying at the strike | Bullish directional bias if you buy the call; the seller has the opposite exposure |
| Put | Right to sell the underlying at the strike | Bearish / protective bias if you buy the put |
| Strike (exercise price) | The price at which the right can be used | Distance from spot is moneyness |
| Expiry | The last date the right is good | Time remaining is a priced input |
| Premium | The price of the option | Paid by the buyer, received by the seller; intrinsic + time value |
| American | Exercisable any time up to expiry | Typical of many U.S. single-stock listed options |
| European | Exercisable only at expiry | Typical of many cash-settled index options |
Moneyness in one line: a call is in the money when spot is above the strike; a put is in the money when spot is below the strike. At the money is spot near the strike. Out of the money options have zero intrinsic value; their entire premium is time value.
Intrinsic value of a call is max(spot − strike, 0). Intrinsic value of a put is max(strike − spot, 0). Time value is premium minus intrinsic. Time value is what theta eats and what implied volatility largely prices.
Worked moneyness: stock $52, $50 call. Intrinsic = $2. If the call's premium is $3.10, time value is $1.10. A $55 call on the same stock has zero intrinsic; a $2.00 premium is all time value. If that $55 call is trading $2.00 while a similar-tenor $50 call is $3.10, you are seeing different slices of the same expected-movement market—not two unrelated stocks.
American versus European is awareness, not a strategy chapter. American early exercise can matter around dividends on a deep in-the-money call. European style removes that choice. If a stem only asks you to name the difference, stop at when you may exercise.
Multiplier and settlement (physical versus cash) show up in listed specs. For Level I, know that an equity option usually controls 100 shares, so a $2.50 premium is $250 per contract. Do not turn that into a margin worksheet.
The Greeks (Level I definitions)
The Greeks are sensitivity numbers. Each answers "if this input moves, how much does the option's premium tend to move?" You need the names and the one-line meanings. You do not need to derive partial derivatives.
| Greek | Sensitivity to | One-line definition | Technician read |
|---|---|---|---|
| Delta | Underlying price | Approximate change in premium for a one-point move in the underlying | Directional exposure; a 0.50 delta call behaves, roughly, like a half-share |
| Gamma | Delta itself | Rate of change of delta as the underlying moves | How fast directional exposure is changing; largest near at-the-money, near expiry |
| Theta | Calendar time | Loss (or gain) in premium as expiry approaches, other things equal | Time decay; option buyers usually pay theta, sellers usually collect it |
| Vega | Implied volatility | Change in premium for a one-point change in IV | The "is this move expensive?" Greek |
| Rho | Interest rates | Change in premium for a change in the risk-free rate | Usually the least important Greek for short-dated equity work |
Delta is often taught as a hedge ratio and, loosely, as a rough probability that the option finishes in the money. That probability story is a teaching shorthand, not a promise. On Level I, if a stem says delta, answer price sensitivity to the underlying.
Worked delta: stock $50, at-the-money call delta 0.50, premium $2.00. If the stock prints $51 and delta held still, the call is about $2.50. Gamma means delta will not hold still: after the uptick it might be 0.55, so the next dollar of rally helps the long call more than the last dollar did.
Gamma tells you whether delta will stay put. A short-dated at-the-money option can swing from 0.45 delta to 0.80 delta on a fast trend day. Technicians who only watch the underlying can still feel gamma when dealers hedge: large gamma near a strike can slow a pin or accelerate a break. That is a microstructure footnote, not a strategy cookbook.
Theta is why a correct direction can still lose money in a long option if the move is too slow. Time decay is not linear; it usually steepens into expiry. Worked theta: 30 days left, theta −0.04 per day, other inputs fixed. A $2.00 option is about $1.60 after 10 quiet days. The underlying did "nothing," and the long option still bled.
Vega is the bridge to implied volatility. If IV rises, option premiums generally rise (positive vega for long options). If IV falls, long options lose value even if the underlying did nothing interesting. That is the post-event IV crush story in one Greek.
Rho exists so the list is complete. For a 30-day equity option, rho is usually a rounding error compared with delta, gamma, theta, and vega. Do not skip the name; do not over-weight it.
Memory hook: delta = direction, gamma = curvature of delta, theta = clock, vega = implied vol, rho = rates.
Implied volatility
Implied volatility (IV) is the volatility number that, when plugged into an option pricing model, reproduces the observed market premium. You do not observe IV on the underlying tape. You back it out of the option's price given strike, expiry, spot, rates, and dividends.
Contrast with historical (realized) volatility, which is computed from past underlying returns (a later unit covers True Range, standard deviation, and Bollinger construction). Historical vol looks backward. IV looks forward: it is the market's priced uncertainty through expiry.
If two otherwise identical 30-day at-the-money calls have different premiums, the richer call has higher IV. The model is using a larger expected-movement input to justify the extra premium.
A technician heuristic—the rule of 16—translates annualized volatility into a rough one-standard-deviation daily move: divide the annualized percent by 16 (because the square root of about 252 trading days is near 16). A 16% IV implies about a 1.0% daily one-sigma range; 32% IV implies about 2.0%. That is a map, not a guarantee. Crypto and thin names can print much fatter tails than a normal-day rule.
The bar chart in this section plots that translation. Use it to answer "what range is the options market charging for?" not "what will tomorrow's high be?"
Why implied volatility matters to a technician
Three jobs match the Program Guide's request to explain the importance of IV for a technician:
1. Expected range. IV is a priced envelope. A stock at $100 with 16% IV is being charged for roughly a 1% typical day. The same stock at 48% IV is being charged for roughly a 3% typical day. Trendlines, breakout filters, and "is this bar large?" judgments should be read against that envelope. A 2% up day is a thunderclap in a 12% IV tape and a shrug in a 60% IV tape.
2. Sentiment. Rising IV with falling price is the classic demand for protection story: puts are being bid, or both sides are paying up for movement. Falling IV into a grind higher can mean complacency—or it can mean a healthy trend that is not scaring anyone. IV is not a complete sentiment toolkit (VIX, put/call, and survey data live in other units), but it is the price of fear and excitement in the options book.
3. Whether a move is "expensive." Compare the move you just saw with the move IV was already charging. If IV was pricing 3% days and the market rallied 2%, the directional event may already have been inside the paid-for range. If IV was pricing 0.8% days and the market gapped 4%, the move was cheap relative to the old IV and IV will often reprice higher (a vol expansion). After scheduled events, IV often crushes: the event risk is over, premiums deflate, and long options can lose even if the direction was right. That is why a technician who ignores IV will misread "the breakout worked" on a post-event candle.
Exam trap: treating IV as a directional forecast. High IV does not mean "must go down." It means large movement is expensive to insure. The direction still has to come from price, internals, or your other tools.
Exam trap: treating a long call as a pure delta bet. Vega and theta can dominate if you bought rich IV into a quiet tape.
Stay inside Level I. You now know why the options market exists, what the contract words mean, what each Greek names, what IV is, and why a chartist should look at it. Strategy construction, volatility surfaces, and VIX construction belong in later units.
Key Takeaways
- Options transfer risk and publish a price of expected movement
- Terms: call/put, strike, expiry, premium, underlying; American = anytime, European = expiry only
- Greeks: delta (underlying), gamma (delta's change), theta (time), vega (IV), rho (rates)
- IV is the vol that makes the model match the market premium; it is forward-looking
- Technicians use IV for expected range, sentiment, and whether a printed move was already expensive
The purpose of options markets, as CMT Level I frames it, is to:
Vega measures an option premium's sensitivity to:
Why does implied volatility matter to a technician even if they never trade the option?