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2002issue C071

Option premium, delta, and volatility-regime spreads

An option premium depends on the underlying price relative to the strike-price, remaining time, interest rates, dividends, and implied-volatility. Delta first translates an underlying move into expected option movement. The implied-volatility regime then decides whether the same bearish view is expressed as a purchased put or as an option-spread.

  • An 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.
  • Delta is the option price change relative to the underlying. A 10-point rise in the stock with a 5-point rise in the at-the-money call illustrates a delta of 50, or about half the underlying move.
  • A directional-horizon of six months was used only when a trend of lower highs and lower lows was judged to be in place, not when price was judged by fixed bands such as 3 percent or 4 percent.
  • When implied-volatility was judged very low, a bearish view was shown as a purchased put. When it was average or high, the same view was shown as an option-spread that buys a higher-strike put and sells a lower-strike put.
Entries in this reading3 entries
Current trackDelta hedging31 readingsOption spread138 readingsImplied volatility analysis176 readings

An option premium is described as depending on several inputs at once: underlying price relative to the strike-price, remaining time to expiration, interest rates, dividends, and volatility. Longer remaining time until expiration is presented as increasing the premium. Interest rates are listed as a pricing input but treated as a minor concern when they are low and relatively stable.

Implied-volatility is framed as a view of the future built into the premium: higher volatility raises time-value and lower volatility reduces it. A standard pricing-model is described in two forms: a dividend-adjusted version for dividend-paying stocks and a non-dividend version for futures and non-dividend stocks.

Delta as the first filter

Delta is defined as the option price change relative to the underlying. A 10-point rise in the stock with a 5-point rise in the at-the-money call is used to illustrate a delta of 50, or about half the underlying move. An at-the-money contract has a strike-price near the current underlying price and therefore has little or no intrinsic value.

Editorial note: this first filter does not choose the structure. It only converts a judged move in the underlying into an expected move in the option premium.

A directional horizon only after a trend

Directional trades in the discussion used a six-month horizon when a trend was judged to be in place. That trend was identified by lower highs and lower lows rather than fixed percentage bands such as 3 percent or 4 percent.

Editorial note: the directional-horizon is a multi-month holding window used only after successive highs and lows are judged to be in place. It is not a standing calendar rule.

Implied volatility chooses the structure

Bullish versus bearish markets, and high-volatility versus low-volatility markets, are treated as calling for different option structures rather than one all-purpose strategy. When options volatility was judged very low, a bearish view was illustrated with a purchased put. When volatility was average or high, the same view was illustrated by buying a higher-strike put and selling a lower-strike put.

Editorial note: the second pair is an option-spread. It pairs a purchased option with a sold option at a different strike-price to reshape premium paid and residual risk. The implied-volatility regime is the second filter that decides whether the same directional view stays in a single long put or moves into that spread.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
6 of 21 in the Delta hedging track
20041-1 pp.Next on Delta hedgingOption loss pacing with spreads and protective putsEditorial reading: treat loss control as three nested exposure choices, matching delta before judging how fast an option loses, converting leftover debit into a same-expiry call spread when the long is melting, and reserving a deep in-the-money put to freeze an existing stock holding.
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
By fieldOptions and volatility435 readingsBy year2002145 readings
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