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Chapters in Options01   Calls, puts, buyers and writers02   Moneyness, intrinsic value and time value03   Delta, gamma, theta and vega04   Implied volatility, skew and event risk05   Put–call parity and synthetic exposures06   Option valuation models and Black–Scholes assumptions07   Vertical spreads and payoff boundaries08   Straddles, strangles and covered positions09   Exercise, assignment and expiry planning

Chapter 8 of 9

Straddles, strangles and covered positions

Understand combined exposures without confusing premium income, hedging or a high win rate with a guaranteed return.

3 min read · Original educational chapter

Two options can express uncertainty exposure #

A straddle combines a call and put at the same strike and expiry. A strangle uses different call and put strikes. Buying both pays premium for movement in either direction; selling both receives premium while taking the opposite exposure.

For a long position, movement must be sufficient to cover the combined premium at expiry. For an uncovered short position, quiet outcomes can produce small gains while a large move creates substantial losses. A high observed win rate does not describe the tail risk.

Covered does not mean capital-protected #

A covered call pairs an underlying holding with a short call of the relevant quantity. The premium can cushion part of a decline while the call limits upside beyond strike in the simplified expiry model. The underlying can still lose a large amount.

A protective put combines an asset with a long put. It introduces premium cost, expiry and strike choices. A price floor in a simplified matched example does not eliminate counterparty, funding, execution or mismatch considerations.

Study the portfolio as a whole #

Assess underlying exposure, option Greeks, scenario losses and funding across all legs. Changing one leg can convert a bounded or covered position into something different. An unused premium receipt is not automatically spendable income independent of remaining obligations.

The examples are educational constructions, not strategies recommended for an individual or a current market. Define the exact contracts and settlement assumptions before interpreting any payoff diagram.

Decision lab: A combined-position name can hide changing exposure #

A covered call includes a long underlying position that can suffer a large decline; premium is not a universal floor. A short strangle can have severe tail loss even when many small premiums were previously collected. The label does not supply the risk budget.

Draw each leg first, then sum payoffs using matching units and expiries. Add cash financing, assignment and liquidity scenarios. Explain why increasing quantity after a run of profitable expiries can change the account-level risk much faster than the average collected premium suggests.

Hypothetical worked example

A long straddle needs a sufficiently large move

Buy a fictional call and put at strike 100 for combined premium 12. At expiry, their combined intrinsic value is the absolute distance of the underlying from 100. P&L per unit is |S − 100| − 12.

At S = 105, the result is −7. At S = 120 or 80, it is +8. Break-even levels are 112 and 88 before costs. A correct statement that the market will move does not specify whether the movement will cover 12.

The writer receives 12 but accepts the opposite payoff. The upper-side price loss is not finitely capped for an uncovered call exposure; premium receipt is not a maximum-loss figure.

Common mistakes

  • Calling short-option premium a fixed yield.
  • Ignoring the underlying downside in a covered call.
Check your understanding

Does a covered call remove the underlying holding’s downside risk?

Make this chapter useful

Can you defend the reasoning?

Before moving on, answer the self-check in your own words and write why each alternative fails. Use the worked example to test that explanation. Then apply it in the module research task; keep the assumptions and the evidence that could change your answer.

Sources and further reading

Further-reading references from the curriculum source list. Contract sizes, expiry calendars, settlement references, margin parameters and tax treatment can change; verify the current operative documents for the actual product. Worked figures are illustrative, not current quotes.

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