Charm is an options Greek that quantifies how quickly an option's delta will change as time passes, specifically measuring the sensitivity of delta to the passage of one day. Unlike Theta, which measures the rate of decay of an option's premium, Charm focuses on the decay of the option's sensitivity to price changes in the underlying asset. A positive Charm indicates that delta will increase as time passes, while a negative Charm suggests that delta will decrease. This Greek is particularly relevant for short-dated options, especially those expiring within a week, because the rate of change in delta accelerates significantly as expiration approaches. For example, an option that is deeply in-the-money might have a delta close to 1, meaning it behaves almost identically to owning 100 shares of the underlying stock. As time passes, its Charm might indicate that its delta is decaying, meaning it will behave less and less like the underlying stock. Conversely, an out-of-the-money option might have a delta close to 0, and its Charm could show that its delta is also decaying towards zero, meaning it becomes even less sensitive to price changes. Understanding Charm helps traders anticipate how their delta exposure will shift without any movement in the underlying asset, solely due to the passage of time. This is crucial for traders who actively manage their delta exposure, as Charm provides insight into how much delta hedging might be required day-to-day to maintain a desired neutral position. It is typically expressed as a change in delta per day for a standard 100-share option contract.
While both Charm and Theta relate to time decay, they measure different aspects. Theta quantifies the rate at which an option's premium decays over time, whereas Charm specifically measures the rate at which an option's delta changes over time. Charm explains *why* delta shifts as expiration approaches, even if the underlying price remains constant.
Yes, Charm is particularly important for short-dated options, especially those expiring within a week or two. As options approach expiration, the rate of change in their delta (measured by Charm) accelerates significantly, making it a critical factor for managing risk and making timely adjustments.
Yes, Charm can be both positive and negative. A positive Charm indicates that an option's delta will increase as time passes, while a negative Charm suggests that delta will decrease. The sign and magnitude of Charm depend on factors like moneyness, time to expiration, and implied volatility.