Delta Hedging

90/10 Strategy

What is Delta coverage?

Delta hedging is an option strategy that aims to reduce or hedge the risk associated with price movements of the underlying asset. The approach uses options to offset the risk for a single other option or an entire portfolio of positions. The investor is trying to reach a delta neutral state and has no directional bias on the cover.

Since delta hedging attempts to neutralize or reduce the magnitude of the change in the price of an option relative to the asset price, it requires constant rebalancing of the hedge. Delta hedging is a complex strategy mainly used by institutional traders and investment banks.

The delta represents the change in the value of an option compared to the change in the market price of the underlying asset. Hedges are investments – generally options – taken to offset the risk exposure of an asset.


Delta hedging

A brief introduction to the options

The value of an option is measured by the amount of its premium – the fees paid for the purchase of the contract. By holding this option, the investor or trader can exercise his rights to buy or sell 100 shares of the underlying asset but is not obliged to perform this action if it is not profitable for him. The price at which they will buy or sell is known as the strike price and is set – along with the expiration date – at the time of purchase. Each option contract is equivalent to 100 shares of the stock or underlying asset.

Holders of American style options may exercise their rights at any time up to and including the expiration date. European-style options allow the holder to exercise only on the expiration date. In addition, depending on the value of the option, the holder may decide to sell his contract to another investor before expiration.

For example, if a call option has an exercise price of $ 30 and the underlying stock trades at $ 40 at maturity, the option holder can convert 100 shares at the price of Least exercise – $ 30. If they choose, they can 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 the broker’s fees to place the transactions.

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

Key points to remember

  • Delta hedging is an option strategy that aims to reduce, or hedge, the risk associated with price movements of the underlying asset, by offsetting long (bought) and short (sold) positions.
  • Delta coverage attempts to neutralize or reduce the magnitude of the change in the price of an option relative to the price of the asset.
  • One of the disadvantages of delta hedging is the need to constantly monitor and adjust the positions concerned.

Delta Hedging explained

Delta is a ratio between the change in the price of an option contract and the corresponding movement in the value of the underlying asset. For example, if a stock option for XYZ shares has a delta of 0.45, if the underlying stock increases the market price by $ 1 per share, the value of the option will increase by $ 0.45 per share, all other things being equivalent.

For the sake of discussion, assume that the options discussed have actions as underlying security. Traders want to know the delta of an option because it can tell them how much the value of the option or premium will go up or down if the price of the stock changes. The theoretical variation in the premium for each basis point or variation of $ 1 in the price of the underlying is the delta, while the relationship between the two movements is the coverage ratio.

The delta of a put option is between zero and one, while the delta of a put option is between a negative and a zero. The price of a put option with a delta of -0.50 should increase by 50 cents if the underlying asset drops by $ 1. The reverse is also true. For example, the price of a call option with a coverage ratio of 0.40 will increase by 40% of the movement in the share price if the price of the underlying stock increases by $ 1.

The behavior of the delta depends on whether it is:

  • In the course or currently profitable

  • At-the-money at the same price as the strike

  • Out-of-the-money currently unprofitable

A put option with a delta of -0.50 is considered to be money, which means that the exercise price of the option is equal to the price of the underlying stock. Conversely, a call option with a delta of 0.50 has a strike equal to the share price.

Reach the neutral delta

An options position could be hedged with options with a delta opposite to that of the current options held to maintain a neutral delta position. A neutral delta position is a position in which the overall delta is zero, which minimizes the price movements of the options relative to the underlying asset.

For example, suppose an investor has a call option with a delta of 0.50, which indicates that the option is in the money and wants to maintain a neutral delta position. The investor could buy a put option with a delta of -0.50 to offset the positive delta, which would give the position a delta of zero.

Delta coverage with actions

An options position could also be hedged in delta using stocks of the underlying stock. A share of the underlying stock has a delta of one because the share value changes by $ 1. For example, suppose an investor has a long call option on a stock with a delta of 0.75 – or 75 since the options have a multiplier of 100.

In this case, the investor could hedge delta the call option by shorting 75 shares of the underlying shares. Short-circuited, the investor borrows stocks, sells those stocks in the market to other investors, and then buys stocks to return to the lender – at a price that, hopefully, is lower.

Advantages and disadvantages of Delta coverage

One of the main disadvantages of delta coverage is the need to continuously monitor and adjust the positions concerned. Depending on the movement of stocks, the trader must frequently buy and sell securities to avoid being under or over-covered.

In addition, the number of transactions involved in hedging the delta can become costly as trading costs are incurred as adjustments are made to the position. It can be particularly costly when hedging is done with options, as these can lose time value, sometimes trading lower as the underlying stock goes up.

The time value is a measure of the time remaining before the expiration of an option by which a trader can make a profit. As time goes by and the expiration date approaches, the option loses its time value because there is less time left to make a profit. Therefore, the time value of an option has an impact on the cost of the premium for that option, since options with a lot of time value will generally have higher premiums than those with little time value. Over time, the value of the option changes, which may result in the need for increased delta coverage to maintain a delta neutral strategy.

Delta hedging can be advantageous for traders when they anticipate a strong change in the underlying stocks but run the risk of being over-hedged if the stocks do not move as expected. If over-hedged positions are to close, transaction costs increase.


  • Delta hedging allows traders to hedge the risk of unfavorable changes in the prices of a portfolio.

  • Delta hedging can protect the profits from an option or short-term equity position without unwinding long-term ownership.

The inconvenients

  • Many transactions may be required to constantly adjust delta coverage, resulting in costly fees.

  • Traders can over-hedge if the delta is over-compensated or if the markets change unexpectedly once the hedge is in place.

Real example of Delta coverage

Suppose a trader wishes to maintain a neutral delta position for investing in General Electric (GE) stock. The investor has owned or has long been a put option on GE. One option is equivalent to 100 GE shares.

The stock drops considerably and the trader makes a profit on the put option. However, recent events have increased the share price. However, the trader sees this rise as a short-term event and expects the stock to eventually decline again. As a result, a delta hedge is put in place to help protect the put option gains.

The GE title has a delta of -0.75, which is generally called -75. The investor establishes a neutral delta position by buying 75 shares of the underlying security. At a price of $ 10 per share, investors buy 75 GE shares at a price of $ 7,500 in total. Once the recent stock rally has ended or events have changed in favor of the trader’s put option position, the trader can remove the delta hedge.

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