Variance From Option Data Calculator

Turn option quotes into variance estimates very clearly. Adjust rates, expiry, and strike spacing easily. Review annual volatility with downloadable reports and examples today.

Calculator Inputs

Example Data Table

Strike Call mid Put mid Use case
380024525Lower strike put area
400010886Near forward reference area
420035205Upper strike call area

Formula Used

The calculator uses a model free option variance estimate:

Variance = (2 / T) × Σ[(ΔK / K²) × e^(rT) × Q(K)] − (1 / T) × [(F / K0) − 1]²

T is time to expiration in years. K is strike. ΔK is strike spacing. Q(K) is the selected out of the money option premium. Puts are used below K0. Calls are used above K0. At K0, the call and put mid prices are averaged.

How to Use This Calculator

Enter the spot price, rate, dividend yield, and days to expiration. Paste option rows using strike, call mid, and put mid. Add a forward price when you already know it. Leave manual strike spacing blank to let the calculator estimate spacing from nearby strikes. Press calculate. The result appears above the form.

Options Variance Overview

Option prices contain a view of expected movement. A variance from option data calculator turns that view into a usable number. It does not need one single option. It uses many strikes across the chain. Calls and puts are read by strike. Out of the money quotes usually carry the strongest signal. The method then weights each premium by strike distance and strike level.

Why the Method Helps

Variance is useful because it measures squared return risk. Volatility is the square root of variance. Traders often discuss volatility, yet many option products settle from variance. This page shows both values. It also shows the forward level and the reference strike. Those details help users audit the result.

Inputs That Matter

Clean option data matters more than a long chain. Use mid prices when possible. A stale bid or ask can bend the estimate. The expiry must match the option rows. Rates should be entered as annual values. Dividend yield can be added when the forward price is not supplied. If you know the forward directly, enter it and override the spot based estimate.

Interpreting the Output

The annual variance is the main output. The annual volatility is easier to read. Daily and monthly volatility give quick context. A higher number suggests larger expected moves. It does not promise that moves will happen. It only reflects option market prices at the time of entry.

Practical Use

Use this calculator before comparing expiries. You can also test how wide strikes change the result. Add more liquid strikes for a smoother estimate. Remove broken quotes. Keep notes about the data source. Export the report when you need a record. The CSV file helps with spreadsheets. The PDF file helps with simple sharing.

Limitations

This is an analytical estimate, not trading advice. Option markets include spreads, skew, fees, and liquidity effects. The result can change quickly. Always compare it with your own risk process before making decisions. Keep each run consistent. Use the same calendar basis across comparisons. Check that calls and puts share the same expiration. Review deep strikes carefully. Small prices can still affect totals when strike spacing is wide. Save the exports with a clear market timestamp today.

FAQs

What option data should I enter?

Enter one row per strike. Each row should contain strike, call mid price, and put mid price. Use the same expiration for every row.

Why does the calculator use out of the money options?

Out of the money options help map expected movement across strikes. They are commonly used in model free variance calculations because they reflect tail pricing.

What is K0?

K0 is the strike at or below the forward price. It acts as the reference strike for selecting puts below it and calls above it.

Should I enter spot or forward price?

Enter spot when you want the calculator to estimate forward price from rates and dividend yield. Enter forward directly when you already have it.

Why can the result look too high?

Wide strikes, stale premiums, bad mid prices, or mismatched expirations can lift the estimate. Review the contribution table to find unusual rows.

Is variance the same as volatility?

No. Volatility is the square root of variance. The calculator shows annual variance, variance points, and volatility for easier review.

What does manual strike spacing do?

Manual spacing forces one delta K value for every strike. Leave it blank when your chain has uneven strike intervals.

Is this trading advice?

No. It is an educational calculation tool. Always compare results with market data, fees, liquidity, and your own risk rules.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.