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July 10, 2014

Option Delta and Option Gamma

The option “greeks” help explain how and why option prices move. Option delta and option gamma are especially important because they can determine how movements in the stock can affect an option’s price. Let’s take a brief look at how they can affect each other.

Delta and Gamma

Option delta measures how much the theoretical value of an option will change if the stock moves up or down by $1. For example, if a call option is priced at 3.50 and has an option delta of 0.60 and the stock moves higher by $1, the call option should increase in price to 4.10 (3.50 + 0.60). Long calls have positive deltas meaning that if the stock gains value so does the option value all constants being equal. Long puts have negative deltas meaning that if the stock gains value the options value will decrease all constants being equal.

Option gamma is the rate of change of an option’s delta relative to a change in the stock. In other words, option gamma can determine the degree of delta move. For example, if a call option has an option delta of 0.40 and an option gamma of 0.10 and the stock moves higher by $1, the new delta would be 0.50 (0.40 + 0.10).

Think of it this way. If your option position has a large option gamma, its delta can approach 1.00 quicker than with a smaller gamma. This means it will take a shorter amount of time for the position to move in line with the stock. Stock has a delta of 1.00. Of course there are drawbacks to this as well. Large option gammas can cause the position to lose value quickly as expiration nears because the option delta can approach zero rapidly which in turn can lower the option premium. Generally options with greater deltas are more expensive compared to options with lower deltas.

ATM, ITM and OTM

Option gamma is usually highest for near-term and at-the-money (ATM) strike prices and it usually declines if the strike price moves more in-the-money (ITM) or out-of-the-money (OTM). As the stock moves up or down, option gamma drops in value because option delta may be either approaching 1.00 or zero. Because option gamma is based on how option delta moves, it decreases as option delta approaches its limits of either 1.00 or zero.

An Example

Here is a theoretical example. Assume an option trader owns a 30 strike call when the stock is at $30 and the option has one day left until expiration. In this case the option delta should be close to if not at 0.50. If the stock rises the option will be ITM and if it falls it will be OTM. It really has a 50/50 chance of being ITM or OTM with one day left until expiration.

If the stock moves up to $31 with one day left until expiration and is now ITM, then the option delta might be closer to 0.95 because the option has a very good chance of expiring ITM with only one day left until expiration. This would have made the option gamma for the 30 strike call 0.45.

Option delta not only moves as the stock moves but also for different expirations. Instead of only one day left until expiration let’s pretend there are now 30 days until expiration. This will change the option gamma because there is more uncertainty with more time until expiration on whether the option will expire ITM versus the expiration with only one day left. If the stock rose to $31 with 30 days left until expiration, the option delta might rise to 0.60 meaning the option gamma was 0.10. As discussed before in this blog, sometimes market makers will look at the option delta as the odds of the option expiring in the money. In this case, the option with 30 days left until expiration has a little less of a chance of expiring ITM versus the option with only one day left until expiration because of more time and uncertainty; thus a lower option delta.

Closing Thoughts

Option delta and option gamma are critical for option traders to understand particularly how they can affect each other and the position. A couple of the key components to analyze are if the strike prices are ATM, ITM or OTM and how much time there is left until expiration. An option trader can think of option delta as the rate of speed for the position and option gamma as how quickly it gets there.

John Kmiecik

Senior Options Instructor

Market Taker Mentoring

February 6, 2014

Option Prices and Earnings

With earnings season in full gear and major players like Priceline.com and Tesla ready to announce soon, it is probably a good time to review how option prices are influenced.

Perhaps the most easily understood of the options price influences is the price of the underlying. All stock traders are familiar with the impact of the underlying stock price alone on their trades. The technical and fundamental analyses of the underlying stock price action are well beyond the scope of this discussion, but it is sufficient to say it is one of the three pricing factors and probably the most familiar to traders learning to trade.

The price influence of time is easily understood in part because it is the only one of the forces restricted to unidirectional movement. The main reason that time impacts option positions significantly is a result of the existence of time (extrinsic) premium. Depending on the risk profile of the option strategy established, the passage of time can impact the trade either negatively or positively.

The third price influence is perhaps the most important. It is without question the most neglected and overlooked component; implied volatility. Because we are in the midst of earnings season, it can become even a greater influence over the price of options than usual. Implied volatility taken together with time defines the magnitude of the extrinsic option premium. The value of implied volatility is generally inversely correlated to price of the underlying

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and represents the aggregate trader’s view of the future volatility of the underlying. Because implied volatility responds to the subjective view of

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future volatility, values can ebb and flow as a result of upcoming events expected to impact price (e.g. earnings, FDA decisions, etc.).

New traders beginning to become familiar with the world of options trading should spend a fair amount of time learning the impact of each of these options pricing influences. The options markets can be ruthlessly unforgiving to those who choose to ignore them especially over an earnings announcement.

John Kmiecik

Senior Options Instructor

Market Taker Mentoring

January 9, 2014

Butterflies, Expiration, the Importance of Time and Christie Brinkley

One of the major differences when learning to trade options as opposed to equity trading is the impact of time on the various trade instruments. Remember that option premiums reflect the total of both intrinsic (if any) and extrinsic (time) value. Equities are not affected by the passing of time unlike many movie stars. Even though Christie Brinkley is still considered to be still quite attractive by many, her look is not the same as it was decades ago when she was a top model and cover-girl. Also remember that while very few things in trading are for certain, one certainty is that the time value of an option premium goes to zero at the closing bell on expiration Friday.

While this decay of time premium to a value of zero is reliable and undeniable in the world of option trading, it is important to recognize that the decay is not linear. It is during the final weeks of the option cycle that decay of the extrinsic premium begins to race ever faster to oblivion. In the vocabulary of the options trader, the rate of theta decay increases as expiration approaches. It is from this quickening of the pace that many examples of option trading vehicles gain their maximum profitability during this final week of their life.

Some of the most dramatic changes in behavior can be seen in the trading strategy known as the butterfly. For those new to options, consideration of the butterfly represents the move from simple single legged strategy such as simply buying a put or a call to multi-legged strategies that include both buying and selling options in certain patterns.

To review briefly, a butterfly consists of a vertical debit spread and vertical

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credit spread sharing the same strike price constructed together in the same underlying in the same expiration. It may be built using either puts or calls and its directional bias derives from strike selection rather than the particular type of option used for construction. For a (long) butterfly, maximum profit is always achieved at expiration when the underlying closes at the short strike shared by the

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The butterfly has the interesting characteristic in that it responds sluggishly to price movement early in its life. For example in the first two weeks of a four week option cycle, time decay or theta is slow to erode. However, as expiration approaches, the butterfly becomes increasingly sensitive to price movement as the time premium erodes and the spread becomes increasingly subject to delta as a result of increasing gamma. It is for this reason that many butterfly traders restrict their use to the more responsive part of the options cycle. For a butterfly, the greatest sensitivity to time (and, therefore, profit potential) is reaped in

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the final week of the life cycle of the butterfly, i.e. expiration week. Beauty is in the eye of the beholder!

John Kmiecik

Senior Options Instructor

Market Taker Mentoring

July 18, 2013

Earnings and Other Influences of Option Prices

With earnings season in full gear and major players like Apple and Netflix ready to announce soon, it is probably a good time to review how option prices are influenced.

Perhaps the most easily understood of the options price influences is the price of the underlying. All stock traders are familiar with the impact of the underlying stock price alone on their trades. The technical and fundamental analyses of the underlying stock price action are well beyond the scope of this discussion, but it is sufficient to say it is one of the three pricing factors and probably the most familiar to traders learning to trade.

The price influence of

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time is easily understood in part because it is the only one of the forces restricted to unidirectional movement. The main reason that time impacts option positions significantly is a result of the existence of time (extrinsic) premium. Depending on the risk profile of the option strategy established, the passage of time can impact the trade either negatively or positively.

The third price influence is perhaps the most important. It is without question the most neglected and overlooked component; implied volatility. Because we are in the midst of earnings season, it can become even a greater influence over the price of options than usual. Implied volatility taken together with time defines the magnitude of the extrinsic option premium. The value

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New traders beginning to become familiar with the world of options trading should spend a fair amount of time learning the impact of

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each of these options pricing influences. The options markets can be ruthlessly unforgiving to those who choose to ignore them especially over an earnings announcement.

John Kmiecik

Senior Options Instructor

Market Taker Mentoring

January 3, 2013

The Influence of Option Prices

Perhaps the most easily understood of the options price influences is the price of the underlying. All stock traders are familiar with the impact of the underlying stock price alone on their trades. The technical and fundamental analyses of the underlying stock price action are well beyond the scope of this discussion, but it is sufficient to say it is one of the three pricing factors and probably the most familiar to traders learning to trade.

The price influence, time, is easily understood; in part because it is the only one of the forces restricted to unidirectional movement. The main reason that time impacts option positions significantly is a result of the existence of time (extrinsic) premium. Depending on the risk profile of the option strategy established, the passage of time can impact the trade either negatively or positively.

The third price influence is perhaps the most important. It is without question the most neglected and overlooked component: implied volatility. Implied volatility taken together with

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time defines the magnitude of the extrinsic option premium. The value of implied volatility is generally inversely correlated to price of the underlying and represents the aggregate trader’s view of the future volatility of the underlying. Because implied volatility responds to the subjective view of future volatility, values can ebb and flow as a result of upcoming events expected to impact price (e.g. earnings, FDA decisions, etc.).

New traders beginning to become familiar with the world of options trading should spend a fair amount of time learning the impact of each of these options pricing influences. The options markets can be ruthlessly unforgiving to those who choose to ignore them.

John Kmiecik

Senior Options Instructor

Market Taker

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