Define the curriculum boundary

The 2026 CMT Program Guide includes Level I options-market basics, including an explicit objective to describe the Greeks, option volume and open interest as sentiment evidence, and implied volatility derived from option prices. Level II objectives include put/call ratios, option-market volatility data, and the volatility risk premium. Named multi-leg strategies are useful professional enrichment here; the public guide does not list them as separate objectives or assign them topic weights. Use the current official curriculum for exact scope.

A call gives the holder the right, not obligation, to buy the underlying under the contract's terms; a put gives the right to sell. Strike, expiration, premium, contract multiplier, and exercise style affect payoff. A chart signal in the underlying does not erase option-specific risks: time decay, volatility changes, bid-ask spreads, and expiration.

Distinguish directional and volatility views

A bullish price setup does not automatically make a call purchase attractive. If implied volatility is high before an event, the premium may already price a large move; the underlying can rise while the call loses value as implied volatility falls or time passes. Conversely, a long option's maximum premium loss is known at purchase, but that does not make every premium amount sensible for the portfolio.

Put/call ratios and option volume can describe positioning, but interpretation depends on instrument, whether trades open or close positions, and whether flow is hedging or speculation. A high put/call ratio may signal fear, but it may also reflect routine protection demand. Open interest is outstanding contracts, not a direct count of bullish investors. Use sentiment with price and breadth, not as a standalone trigger.

Worked case: call payoff versus trade thesis

A stock trades at 100 after a proposed breakout. A one-month call with strike 105 costs 4 per share; assume one contract represents 100 shares. Ignoring commissions, the outlay is 400. At expiration, if the stock is 112, intrinsic value is 112 - 105 = 7 per share, or 700 per contract, and profit is 300. If the stock is 105 or below, the option expires worthless and the loss is 400. The expiration break-even is 109, the 105 strike plus 4 premium.

Suppose the technical thesis is invalid if the stock closes back below 98. The option does not automatically become worthless at 98 before expiration; its market value depends on remaining time and implied volatility. A coherent plan must decide whether to exit based on the underlying invalidation, a premium loss limit, or both. If the breakout fails on day two, holding until expiry because "risk is only 400" changes the planned decision.

The equivalent 100-share stock purchase costs 10,000 gross and has different downside, upside, financing, and dividend properties. Comparing 400 premium with 10,000 gross stock notional as if they were equivalent risk exposures is misleading. Define what is at risk under each implementation.

A narrow Greek primer as enrichment

Delta describes local option-price sensitivity to an underlying move; gamma describes how delta changes as the underlying moves; theta describes sensitivity to passage of time; vega describes sensitivity to implied volatility. They are model-based local sensitivities, not fixed predictions. Large moves, changing volatility, and approaching expiration can alter them quickly. Know these ideas for practical option analysis, while using the official objectives to determine what your exam preparation must cover.

Decision and invalidation

A candidate bullish call plan might require a close above preselected resistance, manageable implied volatility versus the event risk, a spread narrow enough for execution, and total premium within a loss budget. Invalidate the underlying thesis on a close below the breakout range or a defined support level; re-evaluate if implied volatility changes materially. Do not infer a guaranteed options edge from a historical implied-minus-realized gap.

Match the option to the time horizon

A chart target without a date is insufficient for an option. A stock may reach 112 eventually, yet a one-month 105 call can expire before it does. The contract must give the thesis enough time to develop, while longer expirations usually cost more. The decision should compare plausible path and timing with premium, liquidity, and the chance that implied volatility changes. This is practical risk analysis, not a claim that option pricing can be reduced to one chart.

Consider the worked 105 call at a 4 premium. If the stock reaches 108 at expiration, intrinsic value is 3, so the holder loses 1 per share, or 100 on a standard 100-share contract, despite a rise from 100 to 108. If it reaches 112 the day after expiration, the expired call gets no benefit. If the option is sold before expiration, it may retain time value, so the expiration payoff formula no longer gives the sale price.

Compare the option's bid-ask spread with the expected edge. A wide spread can erase a small projected gain before the thesis is tested. State whether the strategy is directional, a volatility view, or a hedge. The same call purchase may be appropriate for one mandate and unsuitable for another.

For a protective put, evaluate the whole portfolio, not only the put's standalone profit. A put may lose its entire premium during a rising market while still having served its purpose as downside insurance. The hedge's effectiveness depends on strike, expiration, underlying exposure, and the cost of repeated purchases. A chart-based support level may help choose when protection is needed, but it cannot make an expensive premium free. If protection is essential to the mandate, do not cancel it solely because the last hedge expired unused.

Common traps and self-check

Avoid treating a put/call ratio as a precise market forecast, forgetting the contract multiplier, using expiration break-even to describe a pre-expiration sale, or assuming a correct direction guarantees option profit.

Self-check: A 95-strike call costs 6 and expires with the stock at 104. What is profit per share? Answer: Intrinsic value = 104 - 95 = 9; profit = 9 - 6 = 3 per share, or 300 for a 100-share contract before costs. Expiration break-even was 101.

Next, annotate one chart setup with an option contract's premium, multiplier, expiration, break-even, and underlying invalidation. Compare this with the volatility guide and official curriculum scope.

Charts load as you approach this section.