# Master Delta Neutral Strategies: Definition, Portfolio Use, and Examples

> **Definition**
>
> Delta neutral is a strategy where the total delta of a portfolio is zero. Delta measures how the price of an option changes relative to the underlying asset price.

## What Is Delta Neutral?

Delta neutral is a sophisticated portfolio strategy that balances positive and negative deltas to achieve an overall zero delta. This approach helps options traders profit from implied volatility or time decay while also serving as an effective hedging technique. By offsetting the delta of various positions, investors can stabilize their portfolios against minor market swings, although dynamic hedging is required for maintaining balance over time.

Through this article, both novice and experienced traders can gain insights into the nuances of implementing delta-neutral strategies effectively.  

### Key Takeaways

*   Delta neutral strategies are designed to balance positive and negative deltas, making the portfolio's overall delta zero.
*   This strategy is commonly used by options traders to benefit from implied volatility and time decay rather than directional market moves.
*   Maintaining a delta-neutral position requires ongoing monitoring and adjustments due to changes in market delta, referred to as gamma.
*   While delta-neutral strategies hedge against small price movements, large market shifts can still cause significant losses.
*   The primary advantage of delta neutrality is that it allows traders to focus on factors beyond price fluctuations, such as time decay and volatility.

## Exploring the Delta Neutral Strategy

Delta, a key financial term, shows how much an option's price will change for every $1.00 change in the underlying asset's price. For example, a call option with a delta of 0.25 and worth $1.40 would be expected to have a value of $1.65 if the underlying asset moved $1.00 higher.

A portfolio's delta can be positive, negative, or neutral, depending on the positions held:

1.  Positive delta: A positive delta means that the option's price is expected to increase as the underlying asset's price increases. This is often the case for call options or a bullish position on a stock.
2.  Negative delta: Meanwhile, a negative delta means that the option's price will decrease as the underlying asset's price increases. This is common with put options or a bearish stance on a stock.

Investors with delta-neutral portfolios balance deltas so that small price changes in the asset have no impact. However, large price swings, changes in volatility, and the passage of time can still affect the value of the portfolio. Getting to delta neutral often means making continual adjustments since the delta might shift away from zero from changes in the market.  

## Mechanism of Delta Neutral Strategies

A positive delta means the option's price will increase when the stock price increases and decrease when the stock price decreases. Conversely, a negative delta means the option's price will decrease as the stock price increases and increase when the stock price decreases. Let's get some more terms out of the way before laying out this strategy:

*   **Long and short positions**: A long position indicates that you own the asset and expect its value to increase over time. A short position, meanwhile, means you're betting against the asset, expecting it to go down.
*   **Call and put options**: These are two types of options contracts. A call option gives the holder (buyer) the right to buy an asset at a given price within a specific period. A put option gives the holder the right to sell an asset at a given price within a particular period.
*   **The values of delta**: Long [put options](https://www.investopedia.com/terms/p/putoption.asp)' deltas range from -1 to 0, while long calls always have a delta ranging from 0 to +1. The underlying asset, typically a stock, always has a delta of 1 if the position is long and -1 if the position is short. A combination of negative and positive would get the delta to zero overall.

We can now move through how a delta-neutral strategy, getting a delta of zero, would work. Suppose you have a long position in a stock (delta of +1). To make this position delta neutral, you could buy a put option on the same stock (with a delta range from -1 to 0). This behavior is seen with deep-in-the-money call options. If the stock price rises by $1, the long position gains $1, but the put option's price drops, offsetting that gain. This ensures that the portfolio's overall value remains unchanged despite the stock's change in price.

Likewise, if an option has a delta of zero and the stock increases by $1, the option's price won't increase at all (a behavior seen with deep out-of-the-money call options). If an option has a delta of 0.5, its price will increase by $0.50 for every $1 increase in the underlying stock. This is because the delta (0.5) is multiplied by the change in the stock's price ($1), resulting in a $0.50 change in the option's price.

### Practical Example of Implementing Delta Neutral Hedging

Suppose you have a stock position of 200 shares of Company X, trading at $100 per share, that you believe will increase in price over the long term. You are worried, though, that prices could drop in the short term, so you decide to set up a delta-neutral position to hedge this directional risk.

Being long 200 shares of stock means that your delta is +200. You can find options contracts providing the opposite delta exposure to cancel that out (i.e., -200).

Say that you find an [at-the-money](https://www.investopedia.com/terms/a/atthemoney.asp) put option on Company X with a delta of -0.50. The sign is negative because put options gain value as the underlying price declines and lose value when it rises. Options on stocks represent 100 shares of the underlying asset, so buying one Company X put would provide you with the following: -0.50 × 100 = -50 deltas.

If you bought four of these put options, you would have a total delta as follows: 400 × -0.5= -200.

With the combined position of 200 Company X shares and long-4 at-the-money put options on Company X, your overall position would not be zero, i.e., delta neutral.

> **Important**
>
> While an initial delta hedge can set up a neutral position, as the underlying stock moves, the delta of the options used will also change. This is known as the option's gamma. As a result, traders who want to maintain delta neutrality need to monitor and adjust their positions to reestablish canceling deltas. This process is known as dynamic hedging.

## Evaluating the Pros and Cons of Delta-Neutral Strategies

### Pros and Cons of Delta Neutrality

Pros

*   Hedges against small price movements in either direction
    
*   Allows options traders to focus on nondirectional strategies
    
*   Flexibility in establishing delta neutral positions
    

Cons

*   Large, sudden moves can produce directional exposure because of gamma
    
*   Can be costly and time-consuming to monitor and adjust
    

The primary benefit of a delta-neutral position is that it's immune to small changes in the price of the underlying asset, either up or down. This strategy is about betting on the direction in which the stock price will move and not about having to worry about minor fluctuations in price.

Delta-neutral traders aim to profit from time decay ([theta](https://www.investopedia.com/terms/t/theta.asp)) or changes in implied volatility ([vega](https://www.investopedia.com/terms/v/vega.asp)), not stock price moves. Since delta neutrality focuses on offsetting price movement risks, traders can focus on these other factors affecting the option's value.

However, being delta neutral also means missing out on those price movements, so it does present a sort of opportunity cost for some traders. However, delta neutrality means missing out on price movements, creating an opportunity cost for some traders. Even if you are not concerned about these price changes, maintaining a delta-neutral position as the underlying moves requires active monitoring and adjusting, which can be costly and not well-suited for inexperienced traders.

Large market swings can cause big losses because the position is only neutral to small price changes. So, significant and sudden market events can undo the strategy.

## How Does Delta Hedging Work?

[Delta hedging](https://www.investopedia.com/terms/d/deltahedging.asp#toc-how-does-delta-hedging-work) minimizes the directional risk associated with changes in the price of the underlying asset by using offsetting positions in options contracts. This is usually done by buying or selling options with an equal but opposite exposure to the underlying asset. By doing so, gains (losses) in the underlying asset will be offset by equal losses (gains) in the options position.

## Can You Use Either Calls or Puts to Be Delta Neutral?

Yes. If you own shares of stock you can buy puts or sell calls. You can also create delta-neutral positions from options alone, such as being long an at-the-money [straddle](https://www.investopedia.com/terms/s/straddle.asp), where you would buy one +0.50 delta call and one -0.50 delta put.

## How Can Options Traders Profit from a Delta-Neutral Position?

Options traders can [profit from delta-neutral positions](https://www.investopedia.com/articles/optioninvestor/03/041503.asp) by selling options and collecting the time decay as time passes. By eliminating exposure to small price fluctuations, this strategy can be sharpened. Likewise, traders may bet that the underlying asset's volatility will rise or fall in the future. A delta-neutral position allows such a trader to isolate the volatility figure from the market direction.

## The Bottom Line

Delta-neutral strategies are designed to achieve a balance where small market price movements have minimal effect on a portfolio's overall value. This is accomplished by offsetting positive and negative deltas within the portfolio. Traders use these strategies to profit from implied volatility and time decay, or to hedge against minor price fluctuations. However, deltas change as market conditions shift, so maintaining neutrality requires constant monitoring and adjustments, known as dynamic hedging.

While delta neutrality can safeguard against slight price changes, traders must actively manage their positions to maintain this balance, as large market movements or time decay can affect the strategy's outcome.

> **Article Sources**
>
> 1.  D. Passarelli. "[Trading Options Greeks: How Time, Volatility, and Other Pricing Factors Drive Profits](https://www.wiley.com/en-gb/Trading+Options+Greeks:+How+Time,+Volatility,+and+Other+Pricing+Factors+Drive+Profits,+2nd+Edition-p-9781118225127)." John Wiley & Sons, 2020. Pages 237-268.