Delta Hedging Strategy: Understanding and Implementing Real-World Examples

What Is Delta Hedging?

Delta hedging is an options-based strategy aimed at neutralizing the risk associated with price changes in underlying assets. It involves using options to counterbalance risk and achieve a delta-neutral stance, thus mitigating the impact of market fluctuations. By actively adjusting positions, traders can minimize directional risk and maintain balance within their portfolios, which is a technique primarily used by institutional traders.

How Delta Hedging Works: A Detailed Breakdown

Basic delta hedging involves buying or selling options and then offsetting delta risk with an equivalent amount of stock or exchange-traded fund (ETF) shares. Investors may want to offset their risk of moving in the option or the underlying stock by using delta hedging strategies.

Advanced strategies trade volatility using delta-neutral methods. Because delta hedging aims to neutralize option price movements relative to the asset’s price, it requires constant hedge rebalancing. Delta hedging is a complex strategy mainly used by institutional traders and investment banks.

Delta shows how an option’s value changes with the market price of its underlying asset.

Let’s assume the discussed options use equities as their underlying security. Traders want to know an option’s delta since it can tell them how much the value of the option or the premium will rise or fall with a move in the stock’s price. The delta is the theoretical change in premium for each $1 change in the underlying price; the hedge ratio shows the relationship between these movements.

A call option’s delta ranges from 0 to 1, and a put option’s delta ranges from -1 to 0. A put option with a delta of -0.50 rises by 50 cents if the asset drops by $1. Conversely, a call option with a delta of 0.40 will rise $0.40 if the stock price rises by $1.

Delta depends on whether it is:

• In-the-money or currently profitable
• At-the-money at the same price as the strike
• Out-of-the-money not currently profitable

Delta at -0.50 for a put option and 0.50 for a call option indicates at-the-money, meaning the option’s strike price equals the stock’s price.1

Strategies for Creating a Delta-Neutral Portfolio

You can hedge an options position by using options with opposite deltas to maintain a delta-neutral position, where the total delta is zero, minimizing price movements related to the asset.

For example, assume an investor holds one call option with a delta of 0.50, which indicates the option is at-the-money and wishes to maintain a delta-neutral position. The investor could purchase an at-the-money put option with a delta of -0.50 to offset the positive delta, which would make the position have a delta of zero.

Options Overview: Key Concepts for Delta Hedging

An option’s value is measured by its premium, the fee paid to buy the contract. By holding the option, the investor or trader can exercise their rights to buy or sell 100 shares of the underlying asset, but are not required to perform this action if it is not profitable to them. The price they will buy or sell at is known as the strike price and is set (along with the expiration date) at the time of purchase. Each contract equals 100 shares of the underlying stock or asset.

American-style option holders can exercise their rights at any time until the expiration date. European-style options allow the holder to exercise only on the expiration date. Also, depending on the value of the option, the holder of either style of options may decide to sell their contract to another investor before expiration.2

For example, if a call option has a strike price of $30 and the underlying stock is trading at $40 at expiry, the option holder can convert 100 shares at the lesser strike price of $30. If they choose, they may then turn around and sell them on the open market for $40 for a profit. The profit would be $10 less the premium for the call option and any fees from the broker for placing the trades.

Put options are a bit more confusing, but work in much the same way as the call option. Here, the holder expects the value of the underlying asset to deteriorate before the expiration. They may either hold the asset in their portfolio or borrow the shares from a broker.3

Using Equities for Effective Delta Hedging

An options position could also be delta-hedged using shares of the underlying stock. One share of the underlying stock has a delta of 1.0, meaning that the stock’s value changes by $1. For example, assume an investor is long one call option on a stock with a delta of 0.75—or 75 since options have a multiplier of 100.

In this case, the investor could delta-hedge the call option by shorting 75 shares of the underlying stock. In shorting, the investor borrows shares, sells those shares at the market to other investors, and later buys shares to return to the lender—at a hopefully lower price.4

Delta Hedging Benefits and Drawbacks

Advantages

Delta hedging helps when traders expect a strong stock move, but there’s a risk of over-hedging if the stock doesn’t move as expected. Unwinding over-hedged positions can raise trading costs.

Disadvantages

A major drawback of delta hedging is the need for constant monitoring and adjustment. Traders must often buy or sell securities based on stock movements to maintain balance.

The number of transactions involved in delta hedging can become expensive since trading fees are incurred as adjustments are made to the position. It can be particularly expensive when the hedging is done with options, as these can lose time value, sometimes trading lower than the underlying stock has increased.

Time value is a measure of how much time is left before an option’s expiration whereby a trader can earn a profit. As time goes by and the expiration date draws near, the option loses time value since there’s less time remaining to make a profit. As a result, an option’s time value impacts the premium cost for that option since options with a lot of time value typically have higher premiums than those with little time value. As time goes by, the value of the option changes, which can result in the need for increased delta hedging to maintain a delta-neutral strategy.5

Example of Delta Hedging

Let’s assume a trader wants to maintain a delta-neutral position for investment in the stock of General Electric (GE). The investor owns or is long one put option on GE. One option represents 100 shares of GE’s stock.

The stock declines considerably, and the trader has a profit on the put option. Then, recent events push the stock’s price higher. However, the trader sees this rise as a short-term event and expects the stock to fall again. As a result, a delta hedge is put in place to help protect the gains in the put option.

GE’s put option has a delta of -0.75, also known as -75.. The investor establishes a delta-neutral position by purchasing 75 shares of the underlying stock. At $10 per share, the investor buys 75 shares of GE at a cost of $750 in total. Once the stock’s recent rise has ended or events have changed in favor of the trader’s put option position, the trader can remove the delta hedge.

The Bottom Line

Delta hedging is a strategic approach to offset the directional risk of options by achieving a delta-neutral state. This method involves balancing options positions with corresponding trades in the underlying stock or ETFs to minimize the impact of price fluctuations on the option’s value. While delta hedging can protect against adverse market movements and preserve profits, it demands continuous monitoring and adjustment, making it labor-intensive and potentially costly. Traders, particularly institutional ones, must weigh these factors when employing delta hedging to ensure its effectiveness in managing portfolio risk.