Greeks of a Covered Call vs a Naked Put — Side by Side

The Greeks of a covered call and a naked put are not the same, even though both strategies look similar on a profit-and-loss chart. Anyone serious about options greeks needs to understand why this matters. A covered call profits from premium but involves long stock. A naked put profits from premium on pure exposure. Their Greeks reveal exactly how each behaves as market conditions change.

Here is a direct side-by-side look at delta, gamma, theta, and vega for both strategies, written for an Indian equity-options trader who needs to pick the right one for the right setup.

Quick comparison at a glance

Why the two strategies look similar

Covered calls and naked puts are often called synthetically equivalent when the strikes and expiries match. They have nearly identical profit and loss shapes. But identical payoff does not mean identical greek behaviour in every market condition.

The differences show up in margin, taxation, funding cost, and even assignment behaviour. Greeks are where these differences start showing.

Delta: directional exposure

A covered call position has delta equal to stock delta (1) minus the short call delta. If the short call delta is 0.4, your covered call has a net delta of 0.6.

A naked put has delta equal to negative of the short put delta. A short put with delta -0.4 gives the position a delta of +0.4. At the same strike and expiry, these deltas track very closely but the reference point is different.

• Covered call builds positive delta from owning stock.
• Naked put builds positive delta from selling a put.
• As expiry approaches, both deltas behave similarly near at-the-money strikes.

Gamma: curvature risk

Gamma measures how fast delta changes with the underlying. Since the covered call has long stock (gamma zero) plus a short call (negative gamma), the position has small negative gamma overall. The naked put has small negative gamma too, because short puts carry negative gamma.

At the same strike and expiry, the negative gamma is roughly equal for both strategies. The practical impact: both positions lose a bit of delta as the stock moves against them, and gain a bit of delta when the stock moves with them.

Theta: time decay

This is the main reason both strategies exist. Theta is positive for both covered calls and naked puts because you are short an option. Time works for you.

At comparable strikes and expiries, theta values are effectively identical. Both collect premium as days pass, assuming the stock stays near the strike.

Vega: volatility risk

Both strategies have negative vega. If implied volatility jumps, the short option gains value and the position loses money. If implied volatility drops, the position benefits.

That is why sellers of options prefer high implied volatility entries. Selling at 30 percent IV that later collapses to 20 percent gives a strong tailwind.

Both strategies are volatility sellers. Theta positive and vega negative. That combination is the core of all income-focused options trades.

Capital and margin differences

Covered calls require owning 100 shares of the underlying for each contract. That ties up significant capital, especially for expensive stocks. In Indian F and O, lot sizes add to the capital burden.

Naked puts in India require margin under SPAN and exposure margin rules. The margin is typically 15 to 25 percent of the notional value, depending on volatility and strike. Much lower capital needed for the same approximate exposure.

Implications of the capital difference

1. Naked puts are more capital-efficient on an apples-to-apples basis.
2. Covered calls avoid the risk of mark-to-market margin calls during volatility spikes.
3. Covered calls give you dividend exposure if you hold through record date.
4. Naked puts do not give dividends and may lose value when markets price in dividend discount.

Assignment and settlement behaviour

For a covered call, if you are assigned, you sell your stock at the strike price. Simple and clean.

For a naked put, assignment means you must buy 100 shares at the strike price. That turns into cash outflow immediately. Smart traders make sure they have the cash or are comfortable holding the stock before writing naked puts.

Which one to choose and when

• Choose a covered call when you already own the stock and want to generate income while holding.
• Choose a naked put when you want exposure to a stock you are willing to own at a lower price.
• Avoid naked puts on junk stocks just because premiums look fat. The stock going to zero is a real risk.
• Avoid covered calls in a strong bull market. You cap upside for limited premium.

Common mistakes traders make

1. Treating the strategies as identical in all conditions.
2. Ignoring capital efficiency when picking between them.
3. Writing naked puts on stocks you do not actually want to own.
4. Writing covered calls on stocks you would have preferred to ride higher.

A clear example

Suppose NIFTY is at 22,000. A 21,700 put is priced at 150 rupees and a 22,300 covered call at 150 rupees has similar profit and loss. Both have positive theta of around 5 rupees per day and negative vega of around 20 per volatility point. But the naked put needs roughly 1 to 1.5 lakh rupees in margin, while the covered call needs the full notional value of NIFTY stock, which is impractical for indices. For individual stocks, the same logic applies at a smaller scale.

Where to learn more

Official rules for options strategies in Indian derivative markets are available on the SEBI regulations page. Covered calls and naked puts may look alike on paper, but their Greeks, capital use, and practical behaviour differ enough that the choice matters. Pick based on your existing holdings, margin capacity, and view on volatility.