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How Options Are Priced

TRADING STRATEGY

An option's price is not arbitrary, and it is not simply what the last buyer felt like paying. It reflects a handful of measurable inputs, combined in ways that pricing models make precise.

Understanding how options are priced — even without the mathematics — explains most of the behaviour that confuses new traders: why an option loses value when nothing happens, why the same strike costs different amounts in different expiries, and why premiums jump when the market is nervous.

Intrinsic value and time value

Every option premium has two parts.

Intrinsic value is what the option would be worth if exercised right now. A call option with a strike of 24,000 when the index is at 24,150 has intrinsic value of 150. A put option at the same strike has none, because exercising it would mean selling below the current price. Options with intrinsic value are in the money; those without are at or out of the money.

Time value is everything above intrinsic value. It is the price of the possibility that the option becomes more valuable before expiry. An out-of-the-money option is entirely time value.

If that call option trades at 290, its time value is 290 − 150 = 140.

At expiry, time value is zero. The option is worth exactly its intrinsic value, or nothing. Everything a buyer pays above intrinsic value is a payment for time and uncertainty that will be used up by expiry.

The inputs that matter

Option prices depend mainly on six inputs.

Price of the underlying. As the index rises, call options gain value and put options lose it, and vice versa.

Strike price. Determines intrinsic value and how far the underlying must move for the option to pay off.

Time to expiry. More time means more chance of a large move, so more time value. Time value shrinks as expiry approaches, fastest in the final days.

Volatility. The expected size of price movements. Higher expected volatility raises the value of all options, because large moves make payoffs more likely.

Interest rates. A smaller effect; higher rates slightly increase call option values and reduce put option values.

Dividends expected before expiry, which reduce the expected price of the underlying and so affect call and put options on stocks and indices.

Of these, everything except volatility can be observed directly. Volatility is the one input that is genuinely uncertain — which is why it becomes the centre of options trading.

What pricing models do

A pricing model combines these inputs into a theoretical price. The best known is the Black-Scholes model, developed for European-style options — options that can be exercised only at expiry, as index options in India are.

In plain terms, the model estimates the range of prices the underlying might reach by expiry, weights each outcome by its likelihood, works out what the option would pay in each case, and discounts that back to today.

It rests on simplifying assumptions: that volatility is constant over the option's life, that price changes follow a particular statistical pattern, that trading is continuous without gaps, and that there are no transaction costs. None of these holds exactly in real markets. Large moves and gaps occur more often than the model assumes, and volatility changes all the time.

That is why market prices differ from simple model prices, and why features such as volatility skew exist. The model is best understood as a common language for comparing options, not as a statement of what an option is truly worth.

Implied volatility: running the model backwards

In practice, traders rarely use a model to decide what an option should cost. They do the reverse.

The market price of an option is known. The underlying price, strike, time, interest rate and dividends are known. The only unknown input is volatility. So traders ask: what volatility, put into the model, produces the price the market is actually paying? That number is the implied volatility.

Implied volatility turns option prices into a comparable measure. A premium of 200 on one strike and 50 on another cannot be compared directly, but their implied volatilities can. It tells you whether options are expensive or cheap relative to their own history and to each other.

An example: one option trades at 200 with an implied volatility of 13 percent, another at 50 with an implied volatility of 19 percent. The second is far cheaper in rupees, yet relative to the movement it is pricing in, it is the more expensive of the two. A buyer focused only on the premium would pick the wrong one.

This is the key idea for traders: an option is expensive or cheap because of its implied volatility, not because of the size of its premium. A low premium can still be expensive; a high premium can be cheap.

What this means in practice

Why options lose value when nothing happens: time value decays as expiry approaches.

Why the same strike costs more in a later expiry: more time, so more time value.

Why premiums jump when markets are nervous: implied volatility rises, lifting all options even if the underlying has not moved much.

Why premiums fall after an event: once uncertainty is resolved, implied volatility drops and time value shrinks with it.

Why a far out-of-the-money option is cheap: it is all time value, with a low probability of becoming valuable.

Once these relationships are clear, most option behaviour stops being surprising, and choosing strikes, expiries and structures becomes a matter of deciding which of these inputs you want exposure to.

Implied volatility on every strike

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Figures in the examples are illustrative. This is educational material, not advice, and no position is recommended. We run no tips group and no signal service, we manage nobody's money, and no return is promised. Derivatives can lose more than the amount blocked against them.

Disclosure: the account-opening link on this page is under Atul Shrivastava's Zerodha Authorised Person registration (NSE AP Reg: AP2516003481; Zerodha Broking Ltd. SEBI Reg: INZ000031633) and earns a revenue share. TheFinBaba is not a SEBI-registered Investment Adviser — this content is educational, not investment advice.

Frequently Asked Questions

How are options priced?

From the underlying price, strike, time to expiry, expected volatility, interest rates and expected dividends. Pricing models such as Black-Scholes combine these into a theoretical price.

What is the difference between intrinsic value and time value?

Intrinsic value is what the option would be worth if exercised now. Time value is the rest of the premium, paid for the possibility of further gain before expiry. Time value falls to zero at expiry.

What is implied volatility?

The volatility figure that, put into a pricing model, produces the option's actual market price. It shows whether options are expensive or cheap relative to their history.

Is a cheap option a good deal?

Not necessarily. Whether an option is expensive depends on its implied volatility, not the size of its premium. A far out-of-the-money option is cheap because it has a low chance of paying off.

Why do option prices fall after results or events?

Uncertainty is resolved, so implied volatility falls and time value shrinks, even if the underlying moves.

Disclaimer: TheFinBaba provides educational content only - this is not investment advice. Trading involves risk of loss.

Atul Shrivastava
Written by

Atul Shrivastava

Founder & Lead Trainer, TheFinBaba

16+ years in the markets. 8+ years teaching Python algo trading.

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Disclaimer: TheFinBaba provides educational content only. Nothing in this article is investment advice or a recommendation to buy or sell any security. Trading in financial markets carries risk of loss — make every decision based on your own research and risk capacity.

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