Hedging is used to reduce the risk of adverse price movements in an asset class by taking an offsetting position in a related asset. Beta hedging involves reducing the overall beta of a portfolio by purchasing stocks with offsetting betas. Conversely, delta hedging is an options strategy that reduces the risk associated with adverse price movements in the underlying asset.
What Is Beta Hedging?
Beta measures the systematic risk of a security or portfolio in comparison to the market. A portfolio beta of one indicates the portfolio moves with the market. A portfolio beta of 1 indicates the security moves in the opposite direction of the market.
Beta hedging involves reducing the systematic risk by purchasing stocks with offsetting betas. For example, assume an investor is heavily invested in technology stocks and his portfolio beta is +4. This indicates the investor's portfolio moves with the market and is theoretically 400 percent more volatile than the market. The investor could purchase stocks with negative betas to reduce their overall market risk. If they purchase the same amount of stocks with a beta of 4, the portfolio is beta neutral.
What Is Delta Hedging?
Delta hedging involves calculating the delta of an overall derivatives portfolio and taking offsetting positions in underlying assets to make the portfolio delta neutral, or zero delta.
Unlike beta hedging, delta hedging only looks at the delta of the security or portfolio. For example, assume an investor has one long call option on Apple. As of August 30, 2018, Apple has a beta of 1.14, which indicates Apple is theoretically 14 percent more volatile than the S&P 500. The investor's position has a delta of +40, which means that for every $1 move in Apple's stock, the option moves by 40 cents. An investor who delta hedges takes an offsetting position with 40 delta. However, a beta hedger enters a position with a beta of 1.14.

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