How Options Quote Volatility, Not Dollar Premium

Options wey dem quote in volatility dey negotiate on the input to the pricing model, no be on the dollar premium wey come out. Desk go ask for size for one specific contract at one volatility level. Both sides go agree on model and reference price for the underlying. Then the cash premium go come out from that calculation when dem strike the trade. Premium na the output. The vol level na the thing wey both sides really dey negotiate.

Wetin e mean when dem quote options in volatility

Na made-up ticket be this, with round numbers wey dem pick for teaching, no be numbers from any live market: buy 500 December 100 calls at 22.5 vol, 45 delta, stock reference 99.80.

Nothing for that line be dollar price. E name the contract (December expiry, 100 strike, calls), the size (500), the volatility level wey dem dey pay (22.5), the hedge ratio (45 delta) and the underlying price wey both sides go put inside the model (99.80). Na only after dem agree on these five things premium go exist.

The delta get another instruction inside am. One US equity option contract cover 100 shares, so 45 delta on 500 contracts dey move with 22,500 shares of stock for the opposite direction. The person wey buy the calls sell the stock; the person wey sell the calls buy am. Both sides finish with volatility position, while dem remove the price direction. That stock leg na the delta exchange, and e belong to the same ticket, no be separate trade wey dem go do later.

If the way volatility dey work here no familiar, our guide to implied volatility explain the quantity, while how dem calculate implied volatility walk through the model wey turn vol level to price.

Why dollar price fit become stale but vol level no dey

Premium quote dey correct for one moment and one underlying price. The underlying no dey stay still for the time phone call fit take. The panel below measure every one-minute bar for AAPL across one pinned six-week window. E report the usual move inside one minute, grouped by New York clock.

SELECT
    et_hour,
    round(quantileDeterministic(0.5)(move_bps, obs_id), 1) AS median_move_bps,
    round(quantileDeterministic(0.9)(move_bps, obs_id), 1) AS p90_move_bps,
    count()                                                AS minute_bars
FROM
(
    SELECT
        formatDateTime(toTimeZone(window_start, 'America/New_York'), '%H:00') AS et_hour,
        cityHash64(ticker, window_start)                                      AS obs_id,
        10000 * abs(toFloat64(close) / toFloat64(open) - 1)                   AS move_bps
    FROM global_markets.delayed_stocks_minute_aggs
    WHERE ticker = 'AAPL'
      AND window_start >= '2026-04-06 04:00:00'
      AND window_start <  '2026-05-16 04:00:00'
      AND open > 0
      AND volume > 0
)
GROUP BY et_hour
HAVING count() >= 1200
ORDER BY et_hour ASC

One basis point na one hundredth of one percent. For the 07:00 hour, the middle minute move 1.7 bps, and one minute out of every ten get 6.4 bps or more. By the 19:00 hour, the middle minute measure 0.3 bps. Hours outside regular session get far fewer bars, and the count column show am clearly.

Option premium dey follow that movement through delta, wey be the sensitivity to one-dollar move for the stock. Volatility level no carry stock price inside am, so 22.5 still mean 22.5 three minutes into the discussion once dem restate the reference price. The next panel follow one AAPL call through the same window. SQL choose the contract, no be person handpick am: na the most heavily traded near-the-money call, identified by the positive delta wey only calls get, with expiry beyond the window. Dem measure each line from the first session of that contract.

WITH
(
    SELECT ticker
    FROM global_markets.options_greeks
    WHERE underlying_symbol = 'AAPL'
      AND toFloat64(delta) > 0
      AND date BETWEEN '2026-04-06' AND '2026-05-15'
      AND expiration_date BETWEEN '2026-06-15' AND '2026-09-30'
      AND iv_converged = 1
      AND volume > 0
      AND abs(toFloat64(strike_price) / toFloat64(underlying_close) - 1) < 0.03
    GROUP BY ticker
    ORDER BY sum(volume) DESC
    LIMIT 1
) AS traced_call
SELECT
    toString(date)                     AS session_date,
    formatDateTime(date, '%b %e')      AS session_label,
    round(100 * (toFloat64(underlying_close)
        / first_value(toFloat64(underlying_close)) OVER (ORDER BY date ASC) - 1), 2)   AS stock_change_pct,
    round(100 * (toFloat64(option_close)
        / first_value(toFloat64(option_close)) OVER (ORDER BY date ASC) - 1), 2)       AS call_premium_change_pct,
    round(100 * (toFloat64(implied_volatility)
        / first_value(toFloat64(implied_volatility)) OVER (ORDER BY date ASC) - 1), 2) AS quoted_vol_change_pct
FROM global_markets.options_greeks
WHERE ticker = traced_call
  AND date BETWEEN '2026-04-06' AND '2026-05-15'
  AND iv_converged = 1
  AND option_close > 0
  AND implied_volatility > 0
ORDER BY session_date ASC

Between Apr 6 and May 15, the stock finish 16.26% from where the window start, the call closing premium 374.77%, and the volatility quoted on that same contract -1.54%. Three lines, one contract, and the same sessions.

How vol quote turn to cash price

Two agreements dey turn volatility to money: pricing model and reference price for the underlying. Exchanges wey support volatility quoting put both inside their rulebook. CME dey run volatility quote trading for its Globex platform under Rule 584, wey dem adopt for filing to the Commodity Futures Trading Commission on February 8, 2008.

The options volatility quoting convention allows for bids and offers in terms of annualized implied volatility (e.g., 12.450% bid at 12.550% offer).

The same rule explain wetin go happen when two vol quotes meet:

At the time of an options volatility match, CME Globex will utilize standard options pricing models to convert the options volatility trade into a premium quoted option for clearing, and where applicable, create accompanying risk reducing futures contracts as a delta-neutral hedge for the matched position.

Source: CME Rule 584, CME Globex Options Volatility Quote Trading, Appendix 2 to CME Submission 08-28, filed February 8, 2008.

The interpretation wey follow that rule list wetin exchange dey feed into the model: the matched implied volatility, the underlying futures price from Globex, time to expiration in years, the strike price, the current interest rate, whether the contract be put or call, and the option style. The rule also pin the reference price. E take the midpoint of the front month bid and ask for Globex. If midpoint no dey available, previous settlement price go serve as fallback.

The hedge na calculation, no be negotiation. Number of futures wey dem allocate equal the net delta from the pricing model multiplied by quantity of options traded, rounded to the nearest whole contract. The filing own worked example match 100 lot at computed net delta of 0.51 and give each side 51 futures. Rule 584 cover options on futures, and CME first volatility-quoted listings na FX options. The convention older than the rule and e reach well beyond one venue: for equity options, the same package show as options order coupled with the quantity of stock wey dem need to leave the pair delta neutral.

Vol quote no mean anything without the contract attached

Volatility level no be property of company. E belong to one strike and one expiry, and e dey change whenever either one change. The panel below sort AAPL calls wey get 20 to 45 days left according to how far the strike dey from the stock. Then e report median volatility and median delta for each bucket across the same six weeks.

SELECT
    strike_vs_spot,
    round(100 * quantileDeterministic(0.5)(iv, obs_id), 2)       AS quoted_vol_pct,
    round(quantileDeterministic(0.5)(contract_delta, obs_id), 2) AS typical_delta
FROM
(
    SELECT
        cityHash64(ticker, date)      AS obs_id,
        toFloat64(implied_volatility) AS iv,
        toFloat64(delta)              AS contract_delta,
        toInt32(round(100 * (toFloat64(strike_price) / toFloat64(underlying_close) - 1) / 2) * 2) AS moneyness_step,
        concat(if(moneyness_step > 0, '+', ''), toString(moneyness_step), '%')                    AS strike_vs_spot
    FROM global_markets.options_greeks
    WHERE underlying_symbol = 'AAPL'
      AND toFloat64(delta) > 0
      AND date BETWEEN '2026-04-06' AND '2026-05-15'
      AND iv_converged = 1
      AND volume > 0
      AND days_to_expiry BETWEEN 20 AND 45
      AND implied_volatility > 0
      AND abs(toFloat64(strike_price) / toFloat64(underlying_close) - 1) <= 0.10
)
GROUP BY strike_vs_spot, moneyness_step
HAVING count() >= 20
ORDER BY moneyness_step ASC

For the -10% bucket, the median contract carry 29.85% volatility at 0.87 delta. For the +10% bucket, same underlying and same weeks, the median sit at 24.62% volatility with 0.12 delta. The tilt across strikes na the skew. Na why vol quote always name the contract: both the level and hedge ratio dey change with strike. How to read an option chain explain how to read those two columns on live chain.

Wetin this change for retail option chain

Retail order tickets dey enter in dollars. But the quotes wey fill those tickets dey build in volatility. The panel below take near-the-money contracts wey get 20 to 45 days left across six widely traded names. E measure every day-over-day change for closing premium and volatility of the same contract, then report the usual size of each one.

SELECT
    underlying_symbol                                              AS symbol,
    round(quantileDeterministic(0.5)(premium_move_pct, obs_id), 2) AS median_premium_move_pct,
    round(quantileDeterministic(0.5)(vol_move_pct, obs_id), 2)     AS median_vol_move_pct,
    round(quantileDeterministic(0.5)(premium_move_pct, obs_id)
        / quantileDeterministic(0.5)(vol_move_pct, obs_id), 1)     AS premium_move_ratio
FROM
(
    SELECT
        underlying_symbol,
        cityHash64(ticker, date)                                AS obs_id,
        100 * abs(toFloat64(option_close) / prev_premium - 1)   AS premium_move_pct,
        100 * abs(toFloat64(implied_volatility) / prev_vol - 1) AS vol_move_pct
    FROM
    (
        SELECT
            underlying_symbol,
            ticker,
            date,
            option_close,
            implied_volatility,
            lagInFrame(toFloat64(option_close))       OVER (PARTITION BY ticker ORDER BY date ASC) AS prev_premium,
            lagInFrame(toFloat64(implied_volatility)) OVER (PARTITION BY ticker ORDER BY date ASC) AS prev_vol,
            lagInFrame(date)                          OVER (PARTITION BY ticker ORDER BY date ASC) AS prev_date
        FROM global_markets.options_greeks
        WHERE underlying_symbol IN ('AAPL', 'MSFT', 'NVDA', 'SPY', 'KO', 'JNJ')
          AND date BETWEEN '2026-04-06' AND '2026-05-15'
          AND iv_converged = 1
          AND volume > 0
          AND days_to_expiry BETWEEN 20 AND 45
          AND option_close > 0
          AND implied_volatility > 0
          AND abs(toFloat64(strike_price) / toFloat64(underlying_close) - 1) < 0.05
    )
    WHERE prev_premium > 0
      AND prev_vol > 0
      AND dateDiff('day', prev_date, date) <= 4
)
GROUP BY underlying_symbol
HAVING count() >= 200
ORDER BY premium_move_ratio ASC

Even the steadiest pair for the set move its premium about 2.1 times as much as its volatility on a typical day: 15.84% against 7.48%. Market maker wey dey re-quote option through the session mostly dey recalculate the same premium against new stock price. The number wey judgement dey revise na volatility. When quote change while stock remain still, na that input move. How market makers dey make money and Wetin bid ask spread be cover the rest of that process.

FAQ

Retail trader fit buy options in volatility terms?

No be for standard brokerage ticket. Retail order entry dey take limit price in dollars of premium. Volatility quoting dey happen for negotiated institutional trades and exchange platforms wey support am, like CME Globex under Rule 584.

Wetin 45 delta mean for volatility quote?

Delta measure how option dey respond to one-dollar move for the underlying. Inside vol quote, e also act as hedge instruction: at 45 delta, each contract wey cover 100 shares dey move with about 45 shares of stock for opposite direction.

Why institutions dey quote options in volatility instead of price?

Dollar premium valid for one underlying price, and underlying dey move every few seconds. Volatility level remain meaningful for the time negotiation take, while dem calculate the cash figure at the end from agreed model and agreed reference price.

Vol quote volatility na the same number as IV for my option chain?

Yes, na the same quantity: annualized implied volatility for that contract. Chain show am after the trade don happen, by backing am out from traded premium. Vol quote state am upfront and derive the premium from am.

Who dey deliver the stock for delta exchange?

The two counterparties, under the same agreement. The side wey remain long delta through the options sell the hedging shares, while the other side buy dem, according to the size wey agreed delta require.

Every panel here carry the SQL wey produce am. Change the ticker or the window and ask the same question for the Strasmore terminal.