Or how it's possible
to make a profit without calling the market

Foundation of an Option Hedge Portfolio

A Market Neutral Option Portfolio

Stock
options offer the investor the chance to earn a profit in many types of
situations. There are many different
types of strategies available to the option investor. The problem with each and every strategy is that they all
require one common element; the ability to predict the movement of a
stock.

There are several problems and questions that arise from such a basic tenant. First is the most obvious. Very few people have ever been able to
predict, with consistency, the price movement of a stock. The second
problem with the many exotic option strategies is if you could predict the
movement of a stock why use the strategy at all? Returns would be greatest if one simply purchased a call or a put
in line with the investor's expectation of the movement of the stock.

The final problem with exotic strategies is the need to time the market. The market and not the stock drive almost a
third of a price change of a stock. This is an extremely critical point of understanding. Just watch the market re-caps every
day. When several large Tier 1 companies have positive news the sector is generally affected. By way of example, Dell announces better
than anticipated earnings. The only stock that should be affected is Dell. The reality is others such as Gateway and Micron will also show gains for the day.

A truly effective way to invest in stock options would be to develop a way to earn a profit without calling the market. That
is, we need to invest in such a way that we don't have to rely on the market moving one way or another for us to earn a profit.

Is there a tool that will
accomplish this? Yes, and it is called Dynamic Option Hedge Portfolio Investing.

What is a hedge?

A hedge is the purchase and sale of securities simultaneously that seek to capture a price discrepancy between positions.

An example will make this easy to see.

Stock ABC had a call that expired in 120 days with a strike price of X with a seller willing to take $1.00 for it.

We found a buyer willing to pay $3.00 for the same option.

Our action was to sell a call for $3.00 and purchase a call for $1.00.

The result of our hedge is we have a guaranteed profit of $2.00 no matter what happens to the price of the stock.

Does such an opportunity actually exist? The answer is no. Very rarely will an investor be able to locate and trade an arbitrage situation like this.

We can, however, simulate this situation through the creation of a derivative position.

As previously mentioned, if we could purchase under priced options and sell overpriced options on the same security we would have a guaranteed profit.This would be a perfect hedge, but it rarely exists.

IF:

Stock ABC with a call 120 days out was fair priced at $2.00 and it struck at $30.

It was traded for $1.00, It was under priced so we purchased it.

Stock XYZ with a call 120 days out was fair priced at $2.00 as well also struck at $30.

It was traded at $3.00, It was overpriced, so we sold it

We have a net credit of $2.00 to open the position.

THEN:

If these two stocks moved with the market we would have a locked in profit of $2.00,

No matter what the market did!

For every move one option had the other would have an equal move. The profit of $2.00 is constant.

To earn consistent profits we need to find two different stocks that have the same relative risk. To earn money we need to create a derivative position.

If we could
*create* a derivative and give this derivative the properties of ABC stock
then we could create a hedged position without having to have discovered both
and over priced and under priced option in company ABC. This would simulate the *perfect hedge*.

In a nutshell here is what we are searching for:

Company XYZ is OVER PRICED

Company DEF is UNDERPRICED

Both companies would have to have similar risks associated with them.

By selling the overpriced option and purchasing the under priced we would open the
position at a net credit.

There are two kinds of volatility, Historical Volatility and
Implied Volatility. Historic volatility
is a statistical measurement of past price movements. Implied volatility
measures whether option premiums are relatively expensive or inexpensive.
Implied volatility is calculated based on the currently traded option
premiums. The option equation is
essentially solved in reverse.

The challenge it always the same; calculate how a stock with react
in the future. If we knew what the
future volatility would be, we could make a fortune quite easily. Because we
don't know what future volatility is going to be, we try to guess what it will
be.

The beginning point for this guess is historical volatility. We
first look at the volatility of a stock or other security, over a given period
of time. Generally, when evaluating volatility, we look at several different
periods. We may look at what the volatility has been for the past week, for the
past month, for the past three months, for the past six months, and so forth.
The longer time period will yield more of an average volatility. However, don't
expect large changes in volatility over time. Stocks or other securities which
are volatile on a daily or weekly basis usually remain that way over time. THIS IS A VERY IMPORTANT PART OF THE
STRATEGY. WE ASSUME THAT VOLATILITY
WILL ALWAYS REGRESS TO THE MEAN VOLALITILITY OF A SECURITY GIVEN ENOUGH TIME. When evaluating the purchase of an option,
it is the historical volatility of the underlying security we are looking at.
For instance, when deciding whether or not to purchase an option on XYZ, we
would look at the historical volatility of XYZ. Basically, what historical
volatility boils down to is, what is the probability that this particular
underlying security will move a particular distance measured in price on a
given day, week, month, etc.

However, there is a different interpretation of volatility not
associated with the underlying security. This is implied volatility. There are many
different models for pricing options. However, most will yield a price
relatively close to each other.

However, what if we use our historical volatility in the formula
and come up with a price far away from where the option is trading? What if we
do this using several different option pricing formulas and we still come up
with a price which is not close to where the option is trading? Why would we
come up with a price, which can't be accounted for? We're all using the same
inputs. We all use the price of the underlying security, the time until
expiration, and the strike price, dividends to be paid by the stock, the
current risk free interest rate, and volatility. All of these inputs are known.
Or are they?

The one input which is not known and for which we have to take a
guess at is volatility. What has happened is that the marketplace is assuming a
different volatility other than historical volatility. The way to solve for
this implied volatility is to use our option-pricing model in reverse. We know
the price of the option and all the other variables except the volatility the
marketplace is using. Therefore, instead of using the equation to solve for the
option's price, we use the model to solve for the option's volatility. We
insert the price into the model, leave out the volatility (which we are looking
for), and keep the other variables the same. It is then that we will find out
what volatility will yield the current market price.

Most traders refer to implied volatility as premium. To be
precise, the word premium refers to the option price relative to the underlying
security. Nevertheless, traders will say things like, "Premium levels are
high." or "Premium levels are low." What the trader is really
referring to is the implied volatility. The implied volatility is high or the
implied volatility is low.

The first thing that one thinks about when trying to evaluate
historical volatility is that the standard deviation should be used. And if a
person is looking for a simple way to measure volatility, the simple standard
deviation will work well enough. However, use of the standard deviation assumes
that there is a normal distribution. If stock prices were normally distributed,
the implication would be that there could be negative prices. This we know is impossible.
The furthest a stock's price can fall is to zero. However, the stock price can
rise infinitely. Therefore, we take the standard deviation of the logarithmic
price changes measured at regular intervals of time.

**Formula For Calculating A Stock's Volatility Using a
Lognormal Distribution**

Xi = ln[Pi divided by ((1+r)/52))Pi-1]

Where:

Xi = each price change

Pi = price of the underlying security at the end of the i-th
period

r = risk free interest rate (We are using weekly data in this
formula. For daily data use 253)

Step two is to calculate the standard deviations lognormal for the
data series. This would be the price change for the period under consideration.
For example, using weekly data, we would calculate the above calculation for each
week for at least 14 weeks.

Step 3 is to sum the answer for each calculation in step 2 and
divide by 14. This gives us the mean.

In Step 4 we subtract each calculation from the mean.

In Step 5 we square each number from step 4 and add them all together.

Step 6 The annualized historic volatility is the answer from step
4 X the square root of (365/7)

Trading options without the Black &
Scholes option model is like wandering in the desert without a compass. The
first step any option trader should make is to fully know his way around the
formula, so as to understand exactly what the inputs are and under what
conditions the results can be trusted. Traders that know how to use the B&S
option model have a definite advantage over those that do not. The markets are
a process by which the best investors make money and can hence stay on in the
game, and the worst investors lose money and are forced to quit. Money flows
from the pockets of the amateurs into the pockets of the professionals. Nowhere
is this truer than in the options markets.

The Black & Scholes option model is an option valuation model. It tells us what the theoretical price of an option should be. Without B&S, evaluating an option price would be an exercise in guesswork. With B&S, it becomes a scientific and hence precise process.

Over the years there have been many copycat option models. They all handle things slightly different. The simple truth is that they are all flawed without knowing the future volatility of a security.

As in all pricing models we do not have a
variable; future volatility. I have
several ways to estimate it. It general
terms I test the 5 year volatility number, 1 year, 50 days and 10 days. I blend these values and weigh them.

I treat the output of the formula as the
central point for determining fair value. It is from this calculation that option quantities are dictated.

Stocks move in price because of news. The market moves because of overall feelings about the news and about the outlook for sectors and industries. It is like the market is the ocean and individual stocks are boats.

When the swell are up, stocks will tend to move upward. When down, stocks in that sector will tend to move down.

Through statistical analysis it has been determined that 30% of the price of a stock is by sector news and 70% is by company news. That is why there can be no new information for Dell but if a positive story about Computer Manufactures develops, Dell will likely move in an upward direction.

To set up a Hedge Portfolio we need to follow several "rules". We must keep in mind that for the hedge to work there must be equal exposure on both sides of the hedge.

Rule 1: The fair value of the options should be approximately equal. Fair value, is based in Black- Scholes option model.

Rule
2: Because we are purchasing
options in quantities to approximate fair value and we are purchasing options
that are underpriced and selling options that are overpriced the dollar value
the dollar value will not be equal.

Rule
3: The capital required will be
much greater on the short side of the hedge versus the long side of the hedge.

Rule
4: For the hedge to be balanced
the relative volatility should be reasonable equal.

Rule
5: Diversification. To reduce risk by 65% we need to hold 100
issues.

Rule
7 We need to match long
positions to short position by industry and or sector. The more matching we can do the more
predictable the results. No more than
10% of the hedge should be invested in any one sector.

Rule 1: If one side of the hedge becomes to large we will need to reduce it to bring it back into balance.

Rule 2: If a position grows in relation to another we need to trim it back. A position that has grown a great deal will exert to much influence on the balance of the hedge. A position that doubles will have twice the influence.

Rule 3: Cashing Out. This is what it is all about. If premiums change significantly we will take profits. When a call that we bought at bargain basement prices under priced is now fairly priced we will sell it. An option that was sold at boutique prices has fallen to fair value we will buy it back.