strategies for options

Time Passes

Beginning traders go broke taking big losses.  Novice traders fall victim to attrition through multiple small losses.  Advance traders falter taking small profits.  Where are you on the evolutionary chain of traders?

The ability to pick market direction reigns as the most important factor for success for all option traders.  Understanding option pricing helps traders magnify gains, and avoid losses.

Many new option traders dig themselves such a deep hole they can’t climb out.  At least, can’t climb out fast enough.  Stock prices go up, they go down, they may end up where they started, but time always passes.  Sometimes, there just isn’t enough time.

Have you heard the joke, “Convicts are the number one buyers of options, nothing makes time fly like owning an option.”  If you break a Law of option pricing, you don’t go to the jail house, you go to the poor house!

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What does all this mean?

An option’s rate of erosion shouldn’t surprise or scare anyone.  Option buyers can calculate time’s expense before buying.  This is done with the Greek called Theta.  Option sellers can predetermine maximum returns.  Traders can know the cost of carrying option positions, both long and short.  Hedged position traders can profit from the continual and constant passage of time.

Time’s Effect on Option Pricing:

Time value and time decay ranks as one of the easiest components of option pricing to understand.  The time value of an option includes everything but the intrinsic value.  Time costs money!  More time, more money.  Less time, less money.  It’s that simple.

But options can’t be simple, they have to have some complexity.  Time passes rhythmically with the tick of a clock, but time value erodes at a different tempo.  Time value decays at its square root.

The square of a number is the product of a number multiplied by itself.  1 x 1 = 1, 2 x 2 = 4, 3 x 3 = 9, etc.  The square root is the other side of the equation.  It’s the equal divisor.  The square root of 1 is 1, the square root of 4 is 2, the square root of 9 is 3, etc.

The Laws of option pricing dictate time value is highest for the At the Money (ATM) option.  Not sometime or most of the time but always.  Time value drops as the strike prices move In and/or Out of the Money (ITM, OTM).  Strike prices Deep In and/or Out of the Money (DITM, DOTM) have the lowest time value.  Not sometime or most of the time but always.

To better understand time value and its rate of decay, one should think in price units and time units.  Price units include dollars and cents; In the case of options, dollars and fractions of dollars.  Time units can be days, weeks or months.  You can even use hours, minutes or seconds.  We won’t discuss an option’s blink of an eye decay rate, but we could mathematically figure it out.

A Hypothetical Example of At the Money (ATM) Call options, (All other option pricing components being constant):

One Time Period = The Square Root of One Price Unit
Two Time Periods = The Square Root of Two Price Units
Three Time Periods = The Square Root of Three Price Units
Four Time Periods = The Square Root of Four Price Units

Insert the time period of your choice, months, weeks, days.  Insert the price unit of your choice dollars or fractions of dollars.  For our example, lets make it months and dollars.

1 Month = $ 1.00 (Square Root of 1 = 1)
2 Months = $ 1.41 (Square Root of 2 = 1.41)
3 Months = $ 1.73 (Square Root of 3 = 1.73)
4 Months = $ 2.00 (Square Root of 4 = 2)

We could extrapolate, the nine month option would cost only $ 3.00 (Square Root of 9 = 3), the 16 month option’s price would be $ 4.00 (Square Root of 16 = 4).

We could replace months with weeks and dollars with fractions, such as 1/2.  Therefore if the one week option were priced at $ .50, the four week option should be $ 1.00, the 16 week option would be $ 2.00.

If we assume four weeks per month, the consistency of the pricing of time becomes evident.  We can see the one month option and the four week option are both priced at $ 1.00.  $ 2.00 buys the four month option and/or the16 week option.  Continuing the math, the 16 month/64 week (LEAP) option would be priced at $ 4.00.

Both equations provide an equal answer:

16 Time Periods = The Square Root of 16 Price Units.
16 Months = The Square Root of 16 Dollars.
16 Months = 4 Dollars.
64 Time Periods = The Square Root of 64 Price Units.
64 Weeks = The Square Root of 64 ½ Dollars.
64 weeks = 8 x .50. = 4 Dollars.

Stock prices go up, they go down, they may end up where they started, but time always passes.  The passage of time can be a profitable journey.

Introducing: Delta

Options are complex!  Their value being determined by a long mathematical equation, with many sub-equations and variables.  I can’t write the formulas out for you.  Not because they’re secret, but because my keypad doesn’t contain the crazy looking symbols used in the formulas.

Each aspect of option pricing is a separate component of the formula. To remove confusion, each component has a Greek title; Delta, Gamma, Theta, Vega, and Rho.  Do you wonder? Should that last sentence read, “To ADD confusion?”  Everyone knows Vega is not Greek.  It’s a Chevrolet.

The first and most important of the “Greeks” is Delta.  It is probably one of the most common known of the “Greeks,” but it can be looked at three ways.  Two of which are widely accepted.  The third is far less important and really only theoretical.  Most quasi-knowledgeable traders only know one or two.

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The first and most important way to look at Delta:  Delta measures the rate of change in an option’s price compared to a one point ($1) movement in the underlying security.

Since the rate of change in the price of a stock is measured dollar for dollar, their movement is 100%.  Stocks have a Delta of 1.00.  Don’t worry; stock prices do not have any other “Greeks,” only Delta.

Option prices, which don’t move the same dollar for dollar as stock prices, have lower Deltas.  Think of it as a percentage of the movement of the stock price.  If a stock goes up $1 and an option on that stock went up 1/2, it had a Delta of .50.

Many times Deltas are not mentioned with decimals but as whole numbers.  Since options trade 100 shares of stock per contract, the decimals are dropped.  Example:  .50 x 100 = 50.

Deltas can never be over 1.00 (one hundred).  If you ever see an option move greater than the underlying, it was caused by another of the “Greeks.”  In our examples, we will assume everything else remains constant.  In reality, the other “Greek” forces are at work, but for explanation sake, they will remain silent.

The at the money (ATM) Call will typically have a delta of .50.  In the money (ITM) will have a higher delta.  The Delta is still higher on deep in the money (DITM).  The opposite is true for out of the money (OTM) and deep out of the money (DOTM) options, their Deltas are lower.

An understanding of Delta helps option traders choose strike prices.  To be profitable with small price movements, you will need to buy ATM or maybe even ITM options.  The difference between the Bid/Ask spread may be too great to overcome with OTM options.

The parameters of our hypothetical example:  $30 stock, $25 Call price $6 Delta .75, $30 Call price $2 Delta .50, $35 Call price $1 Delta .25.  If the stock price increases $1 to $31, the $25 Call would increase .75 to $6.75.  The $30 Call would rise to $2.50, the $35 Call would increase to $1.25.

Let’s say the Bid/Ask spread on the $35 Call was .75/1.00 when the stock was $30.  After the $1 price rise in the stock the Bid/Ask spread might have become 1.00/1.25.  If you buy @ $1 and can only sell @ $1, you lose the cost of commissions.

Delta is dynamic.  When the stock price moves, the Delta changes.  Delta will increase as the stock price increases.  Delta will decrease if the stock price falls.  This change is known as Gamma.  Think of Delta as speed and Gamma as acceleration.  We will go into Gamma later in much greater detail.

Delta also changes as time passes.  As option expiration gets closer the Delta for the ITM option increases towards 1.00, and the Delta for the OTM option decreases towards .00, while the ATM option’s Delta will almost hold at .50, right until expiration.

OTM options are usually a bad deal.  There’s generally not enough time for the price to rise and the Delta is too low, the exception is with Leaps.  The Deltas on Leaps will be closer to .50.  ITM Leaps will have lower Deltas than short term options.  OTM Leaps will have higher Deltas than short term options.  Most people are unaware of this phenomenon.  It can be used to great advantage in calendar spreads.

Every option trader should know Delta!  Its okay not to know Rho, but knowledge of Delta is essential.  You will need to understand Delta before trying to grasp Gamma (my favorite).

In order to understand option strategies, especially using weekly options it is necessary to understand Delta – hopefully you do now.  As always if you have any comments please leave them below.

Lets begin this post with a discussion about hardware.  I will get to trading strategies and trade ideas in a little while.  You need some hardware before you can run some software (which I will also discuss) in order to analyze what the markets are doing.

Any system that will run the current Windows 7 has enough horsepower to run all the current trading platforms.  My recommendation is to get as much memory as you can afford or can fit into your computer.  And then to get the 64 bit version of Windows 7 –  this will give you a machine that will be a little ahead of the curve and last longer then a machine with a 32 bit operating system.  Next to consider is your choice of monitors.  Do you go with a single large monitor or two smaller ones?  Both will work fine – it will depend on your budget and space on your desk.  I prefer 2 larger monitors – I use 2 – 24 inch currently.  A single 30 inch would work very nice as well.    My monitors are a bit older and not in the new widescreen format.  Widescreen means that the width to height of the monitor is in the relationship of 16:9 which is great for watching movies on your computer.  But I do not like them for looking at charts or working on my computer.  The problem is they are very hard to find and I have been told that the major manufacturers no longer make them.  Just the widescreen models 🙁

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Now for software – I have tested Think or Swim, Tradestation, eSignal platforms and find them all to be great.   So the important thing to see is what you are comfortable using.  And also the costs involved.  Some platforms will be free (except for exchange costs) like Tradestation, and some you will need to add a data service on top of the platform.  A lot will depend on your brokerage and the platform they use and the costs involved.  I like Think or Swim and love Tradestation which is my platform of choice.  Look around and try what is out there and find a platform that works best for you.


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