Section 4 · IV

Implied volatility

The IV column turns each premium into one number that can be compared across strikes.

Sample Indexspot 4,865.00previous close 4,851.00expiry in 14 dayslot 45 unitsall figures invented

CallsPuts
IVLTPStrikeLTPIV
call in the money14.86173.054,7008.0514.86
call in the money14.45130.104,75015.1014.45
call in the money14.0391.704,80026.7014.03
call in the money13.6259.554,85044.5513.62
13.2134.804,90069.8013.21put in the money
12.8017.854,950102.8512.80put in the money
12.397.755,000142.7512.39put in the money
11.982.755,050187.7511.98put in the money

Excerpt: IV next to the last traded price.

On a narrow screen this table scrolls sideways; the strike column is in the middle.

What the IV column is

Implied volatility is the volatility figure that, put into an option pricing model with the strike, spot, time to expiry and interest rate, gives back the option's market price. It is quoted as a percentage a year.

So IV is the price, re-expressed. A higher IV at the same strike and expiry means a higher premium; it is not a separate measurement of the market.

IV across the strikes

In the specimen IV falls from 14.86% at 4,700 to 11.98% at 5,050. A slope like this is often called a skew. In the specimen a call and a put at the same strike share one IV, because both were priced from it.

14.86%4,70011.98%5,050
IV by strike in the specimen.

How the specimen was priced

Every premium in the specimen comes from the Black–Scholes formula with zero interest and no dividends, using the IV shown, spot 4,865.00 and 14 days to expiry, rounded to 0.05. Market premiums come from trades and quotes; here the formula only makes the specimen consistent.