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1991issue C081-6

Option deductibles that bound position risk

Contingent stops do not guarantee the intended loss. An opposite option defines loss as the premium paid and leaves the directional payoff uncapped, while strike distance and hedge ratio set the residual deductible.

  • Contingent stop and stop-limit orders do not guarantee that a loss will be limited to the intended amount, because market conditions can make those orders impossible to execute.
  • Buying an option opposite a futures or security position defines the loss as the premium paid while leaving the original directional payoff uncapped.
  • The residual loss on an option hedge is set by the ratio of options to the underlying position and by how close the strike sits to the underlying price.
  • When implied volatility is far from historical volatility, or when at-the-money and out-of-the-money implied volatilities diverge, a different option-risk structure is needed to compensate for that misalignment.
Entries in this reading3 entries

Two loss technologies

TradersWeek editorial: every live position has two loss technologies. One is an exit order the trader hopes will be filled. The other is a premium paid up front so that an insurance-deductible can be sized before the exposure is accepted.

Contingent stop and stop-limit orders do not guarantee that a loss will be limited to the intended amount, because market conditions can make those orders impossible to execute. A stop supplies only an undefined amount of protection for a change in value.

A premium that sets the worst-case loss

Buying an option opposite a futures or security position defines the loss as the premium paid while leaving the original directional payoff uncapped. A protective-put is a long put held against a long underlying, or a long call held against a short underlying, so that premium rather than the next trade print sets the worst-case loss.

An option hedge specifies both the amount of protection and the period it covers. A long stock purchased at 110 can have downside bounded by a 105 or 100 put when the holder wants to risk only about 5% or 10% of value. The put gains if the stock does not.

Size the insurance deductible

The residual loss on an option hedge is set by the ratio of options to the underlying position and by how close the strike sits to the underlying price. That residual is the insurance-deductible: the residual loss left after an option hedge, set by strike distance from the underlying and by how many options cover the position.

TradersWeek editorial: size that deductible, not the stop, before the exposure is accepted.

Near-term delta and the unhedged fraction

Delta is the near-term change in option price for a one-point move in the underlying. Call deltas are positive and put deltas are negative, and both change as the underlying moves through the strike. Delta-hedging is sizing the option book to the opposite delta of the underlying so only the unhedged fraction of a near-term move remains, knowing the hedge ratio will change as price moves through the strike.

After a 3.05-point rise in the June index future, the June 380 call rose 1.30 points and the June 380 put fell 1.70 points, implying deltas of 43% and -56%. One at-the-money call therefore offset only that near-term fraction of a short futures unit.

When the options position is equal but opposite in delta to the underlying, a large move in either direction can still produce a profit.

Volatility alignment and a bound that stays in the trade

Implied-volatility is reading the gap between option-implied and historical volatility, and the skew across strikes, to choose which hedge structure is expensive or cheap for the risk being transferred. When implied volatility is far from historical volatility, or when at-the-money and out-of-the-money implied volatilities diverge, a different option-risk structure is needed to compensate for that misalignment.

On a short index-futures trade, buying enough calls at a new-high stop zone can keep the loss bounded without forcing an exit that would cancel a later reversal.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
5 of 21 in the Delta hedging track
20021-1 pp.Next on Delta hedgingOption premium, delta, and volatility-regime spreadsAn option premium depends on several inputs at once: underlying price relative to the strike-price, remaining time to expiration, interest rates, dividends, and volatility. Longer remaining time is presented as increasing the premium.
All readings on this track · 21 readings
  1. 1988Constructing regime-aware option income from implied volatility
  2. 1989Constructing a delta-hedged implied versus historical volatility book
  3. 1990How a 1989 Eurodollar break turned cheap volatility into a regime-aware book
  4. 1991Constructing a perishable delta hedge from option moves
  5. 1991Option deductibles that bound position risk
  6. 2002Option premium, delta, and volatility-regime spreads
  7. 2004Option loss pacing with spreads and protective puts
  8. 2004Delta-neutral options as regime-aware portfolio insurance
  9. 2004Late-cycle expiration loss and skew as regime context
  10. 2007Short-term call construction under volatility regimes
  11. 2008Constructing a limited-risk option spread from volatility and delta
  12. 2008Option greeks as pre-strategy construction checks
  13. 2008Hedging a short KOSPI 200 options mix for delta and vega
  14. 2010Delta hedging as context, not cover
  15. 2010A margin call as a net-delta budgeting problem
  16. 2012Strike-level open interest as a hedge and pin map
  17. 2013Constructing regime-aware overlays from commodity option greeks
  18. 2013Currency option venues as a straddle and hedge case study
  19. 2014Long-dated versus near-term calls as a volatility regime
  20. 2018Constructing regime-aware option books from net greeks
  21. 2020Custom-delta option spreads for a limit-locked futures book
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