Bull Markets - Not What You Think!

February 10th, 2008

Losses in a Bull MarketIt’s Up
But
It’s Down

Losses in a Bull Market

Dr. Steven Thorley, PhD, Professor of Finance at Brigham Young University, has completed a study that has found that the average investor equity portfolios have an average turnover rate of 69% now. That is up from 12% in 1970.

The reason is believed to be overconfidence in a bull market that is encouraging investors to chase the latest shining star. Even when they miss, the bull market imposes a small penalty but that small penalty is adding up. Net returns are lower than if the investor had just stayed with some basic index fund for the duration and not traded so actively.

There is another source of loss that is a direct result of this increased trading. Each time a trade is made, a taxable event occurs. If you gained, it is taxed and if you loss, you are pressured to create an gain so you can take the loss.

For instance: If you sell at a $10,000 loss in the first quarter of the year, you cannot claim that loss (except under special circumstances) unless you have a gain of that amount some time during the year. If your normal dividends do not amount to $10,000, then you have to sell something to create a gain so you can deduct the loss. Now you have another taxable event.

Or you are just creating extra taxes because of the frequent trades you make in day trading or chasing the numbers. The end result is that you are paying taxes on each transaction that lowers your overall gain.

One other way that you might be gaining in these taxable events is by investing in a mutual fund that has an active manager that believes in a high turnover rate. This creates capital gains that may be distributed to the investors.

An alternative is to invest in a few index funds that do little trading. You could also trade in tax exempt bonds and other investments and move your money into a tax-exempt money fund between trades. If it is in a bank, it continues to earn taxable income.

Finally, whatever you do, try to hold your investments that show a profit for at least one year so you can take advantage of the 20% long-term capital gains tax rate. If you don’t the capital gains can be so high as to offset your profits on the trade.

When the market is flying high, it is difficult to be a big loser but it is possible to be a bigger winner. As with all things, if you know more about what you are doing, you will do better at it.  

Long Term Investments - Are not what you Expect!

February 10th, 2008

Long Term Investments - Are not what you Expect!

Long Term Investments
Growth Realities

Although this article uses statistical data from the late 1990’s, it is as valid today as it was then - perhaps more so since we should have learned our lessons back then but it is very apparent that we have not.

Many people that have read anything about the stock market know that dollar cost averaging is the best way to invest and that the buy and hold strategy for extended periods has proven to be most consistently sound investment method of all. Despite the views of hundreds of investment gurus that spout about the virtues of timing, demographics, contrarian and other sector investment methods - none have proven to be as reliable as simply buying good solid stocks and waiting.

In recent years, the tech boom market has skewed this view by so much that many are beginning to doubt it. The short term success of Internet stocks or other sectors have made people lose sight of the norms and history of the market. If we accept the concepts of “regression to the mean” as described in other articles on this service, we must view the history of the market to get some insights to where the future lies.

Despite the 25% to 50% returns of many funds and stocks in this bull market, the average return over the life of the stock market is between 4.7% and 6.3% depending on how far back you go and what numbers you use.

Let’s be conservative and say it is 6%. That means that by the rule of regression to the mean, the current bull market cannot continue for much longer without swinging the other way to maintain the historical mean. Even if we allow for a massive change in the mean, it almost certainly will not swing from 6% for the average from 1897 to 1997 to some much higher number over the next decade.

The problem is that many people are thinking and planning for their retirements based on these high returns. I have seen many “retirement guides” that use 12% and 15% as the return on your retirements investment and then they always show you the “magic of compound interest” to convince you to reinvest your earnings. Figures in the millions are often quoted if you being saving when you are young. But is this realistic? Can you expect 12 to 15% returns over your investment careers while you save for retirement? The answer will surprise you.

No one in our entire history has ever been able to do it!

Let’s look at why. Suppose we look back at the average growth of the S&P 500 over the past 15 years (this is called the15 year annualized growth). As of the end of 1997, looking back to 1982, we have had about a 15% growth. But this number is very misleading because it happened for only a very short period of time. That number was only 10% if we look back from 1995 and it was only 8% in 1991. If we go back to 1985 and look back to 1970, the average is below 5% average growth.

Remember, we are averaging the total growth for a full 15 year period. That almost totally obscures such minor adjustments as the 500 point drop in 1987 and other “corrections” and it reflects only the major trends of the economy that have some degree of duration such as recessions, wars, demographics, etc.

In fact, the longest period of time that we have ever been able to sustain a 15% return for a 15 year annualized growth was for a two month period in 1997. The average 15 year annualized growth for the stock market since 1887 is just over 4%.

This means that those lucky few that invested during a short 2 months in 1982 and that left their money in the market until 1997, saw a 15% return on their investment. If they had invested any earlier or later than that, the return would have been much lower and it was never higher at any time in history for a 15 year annualized growth figure.

Even if we drop it back and look at an average of 10%, we find that there have only been a total of 17 years since 1887 that we have experienced a 10% growth annualized over 15 years. Contrast that with 16 years in which we had 5% or less for a 15 year annualized growth.

If we believe the concept of regression to the mean or if we believe that history gives us some insights into the future, then we have to conclude that no one should be planning on getting 15% return on their money for periods longer than a few months - a few years at best - but certainly not for the life of an investor from early working age until retirement.
You would do better to figure your retirement investments based on a 5% to 6% return over the life of your investment (3 to 4 decades).

Unfortunately, this will have a significant sticker shock to most investors. Those “retirement guides” that use 12% and 15% as the return on your retirements investment and then show you the “magic of compound interest” use figures like this:

You invest $10,000 at age 20 and get 15% average returns for the next 40 years, you will have $3,887,006 for an early retirement at age 60. Sounds great but it has never happened in all of history and is not likely to happen in the future.

More likely is this: You invest $10,000 at age 20 and get 8% average returns (if you are lucky) for the next 40 years, you will have $242,733 at age 60 not counting the effects of inflation for 60 years. Even if you add $100 a month for 40 years at 8%, you’ll only have $349,100 at age 60. That’s less than one tenth what the retirement guide led you to believe you would have and a whole lot less than you will really need to retire early.

A more realistic strategy is this. Start early - of course we all would like to have had the maturity and wealth to begin saving at age 20 but the fact is that many did not. Don’t think in terms of how little you can save for how long at current rates of return. Think in terms of how much can you save for the longest term possible (that means not retiring early) and at much more conservative rates - like 6-8%.

For instance: Save $100 month from age 25 to 35, $250 from age 35 to 45 and $500 from age 45 to 65. If all that is at 8% average annual return, you end with $719,900. If you leave that in your investments at 8%, then you can draw out $5,000 per month for the next 40 years or you can draw out $6,000 for the next 20 years. Perhaps $5,500 would be a prudent compromise. This will diminish from the effects of inflation but it is a more reasonable scenario than getting 15% or even 10% for 30 or 40 years.  

Activity Based Costing

February 10th, 2008

Activity Based Costing

Introduction to Activity Based Costing Methodology
One way to save money is not to spend as much of it. If you are a business owner or a project manager that is involved with business improvement or organizational change management, there are some proven ways to analyze your organizational design and your business processes. One of these methods is called Business Process Reengineering or BPR.. One of the key activities in BPR is Activity Based Costing (ABC). Use of ABC had been proven to be an efficient method to accurately analyze your business and identify areas for improvement.
If you are a consultant or a business manager, becoming a BPR or ABC facilitator can be a very lucrative career move right now as there is an increasing demand for people that can support the analysis and process improvement of businesses.

This report introduces, in a simplified manner, the concepts of Activity Based Costing (ABC) as an introduction to the analysis applied to the Process Model and the development of the strategic plan for departmental analysis of the organization.. The department used in this example was the IT department.

Description of ABC

Activity Based Costing (ABC) is a technique that measures the cost and performance of activities and the products or services generated from those activities (Cost Objects). The resources, which are commonly reflected by the general ledger, financial statement, or object class codes are traced to activities based on primary and secondary methods of consumption. Activities are traced to cost objects, which are the functional outputs of the business processes based on their use.
The task of differentiating the organization’s activities as either value added or non-value added is perhaps the most important theme in ABC. Non-Value Added activities become candidates for elimination or reduction whereas Value Added activities become targets for improvement.

Traditional cost accounting systems do not provide adequate information to identify the causes of cost. In situations where costs are deemed by management to be too high, managers tend to rely on across-the-board overhead cuts to control spending in the absence of proper information. Thus, when funds decline or disappear, organizations usually respond by “tightening the belt” in the wrong way at the wrong point in the enterprise.

Common approaches include:

Universal reductions in the budgets of all departments;
Freeze on wage increases;
Freeze on overhead activities;
Early retirement;
Freeze on training and nonessential travel;
Freeze on hiring; and
Freeze on investments.

Such well-intentioned efforts generate a self-feeding cycle of competitive decay. They do not address the demand for overhead resources - the activities that keep people busy. There is a natural tendency for managers to cut expenditure on activities critical to the mission of the organization both in the present and in the future. Deterioration in the quality of service and pressures on an overburdened staff prompt renewed spending and overhead creeps up. The problem is that the fundamental causes of cost were not corrected.

The most common and least understood factor that touches off such a cycle is management operating with the wrong type of data - data geared to accounting rather than management.

How ABC was applied in this case

A baseline represents the inventory of business policies, practices, methods, measures, costs, and their relationships at a particular location at a particular point in time. The baseline also comprises a set of business processes that provides the context to an organization’s work. Activity Based Costing (ABC), often in conjunction with BPR modeling, pulls together all of these factors to enable decisions concerning the advisability, value, and difficulty of implementing various improvement alternatives.

ABC recognizes the causal relationships of cost drivers to activities. Cost drivers are the factors that cause work to be performed and in turn cause costs to be incurred (i.e. resources to be consumed).

The activity based management approach to cost management breaks down an organization into activities. An activity describes what an enterprise does - the way time is spent and the outputs of the process. The principal function of an activity is to convert resources (materials, labor, and technology) into outputs. Activity accounting identifies activities performed in an organization and determines their cost and performance (time and quality).

For purposes of developing an ABC model for the departments, a simple and effective activity based management system incorporating the following steps can be used:

1) Determine enterprise activities.

To identify the activities performed in the IT process a series of surveys and focus group sessions were held with each member of the IT department.

2) Determine activity cost and performance.

Performance is measured as the cost per output, time to perform the activity, and the quality of the output. As part of the interviewing conducted in Step 1, data was collected from each interviewee regarding:
number of transactions for each service area;
duration for performing each activity one time; and
information pertaining to the salary of each individual performing each activity.

Based on the interview results and detailed budget reports, all costs are able to be directly traced to specific activities, except for, miscellaneous expenses and computer supplies. These two categories were allocated to all activities.

3) Determine the output of the activity.

An activity measure (output) is the factor by which the cost of the process varies most directly. For each of the activities identified in the model an output was identified and quantified. These outputs provided the basis for tracing the activity costs to the cost objects.

4) Trace activity cost to cost objects.

Activity costs are traced to cost objects such as products and/or services generated by performing the activities. The best approach to take for identifying the appropriate cost objects is to view the services or products from the perspective of the end user or customer. This is the approach that was used for this cost analysis. The end result of this step is the determination of the costs of various time and attendance methods in the aggregate and on a per transaction basis.

5) Determine corporate short-range and long-term goals (critical success factors).

This requires an understanding of the current cost structure, which indicates how effectively operating activities deliver value to the customer. An assessment is then made based on these critical success factors as to which activities are non-value added and which are value added. Non-value added activities are those activities not providing value to the customer or to the business. These activities are candidates for elimination. Value added activities are by definition critical to the success of the enterprise’s mission.

6) Evaluate activity effectiveness and efficiency.

Knowing the critical success factors enables an organization to examine what it is now doing and the relationship of that action to achieving those goals. Everything a company does - or avoids doing - is measured against the short and long-term goals. This provides a useful formula on which to base a decision whether to continue performing or to restructure an activity. Also, cost control is improved by ascertaining if there are superior methods of performing an activity, identifying wasteful activities, and determining the cause of the cost.  

Option Basics

February 10th, 2008

Option Basics

Option Basics
Suppose you know of a company called ABC, Inc., that is about to make an announcement that their new product will be a technologic innovation and a major improvement to the sales of that company and that you believe the stock will increase after the announcement.
How can you make money if you are certain that this will happen? The answer is by a technique called “taking an option”. The value of the option is when you are confident that the underlying stock price will change and you are confident you know if it will go up or down.

You should know that these are called “leveraged investments” because you can make a great deal of money with a much smaller investment and do it very quickly but you should also know that this can be very risky if you don’t follow a sensible and disciplined trading strategy. As a general rule (which is true for most investments and gambles, “if you cannot handle large losses over a short period of time, you probably should not be trading in options or futures.”
Puts And Calls

Options come in two primary forms. They are “calls” and “puts”. One call option gives the holder the right, not the obligation, to buy shares of the underlying stock at a fixed price and for a fixed period of time.
A put option gives the holder the right, not the obligation, to sell shares of the underlying stock for a fixed price and for a fixed period of time.

In the example above, let’s say you are confident that ABC, Inc.’s announcement will increase the stock value within 90 days.

You buy an option to buy 100 shares of ABC, Inc. at $110 per share for the next 90 days, ending at the end of November. The option is a call (the holder has the right, not the obligation, to buy 100 shares of ABC, Inc. at a price of $110 between now and November). It would be written like this, “ABC, Inc. November 110 call”.

After you buy the call option, you hope the stock will increase in value. This rise might be because the product is innovative and a positive advantage to the value of ABC, Inc..

As a result, suppose the stock value goes up to $125 per share in October and you “exercise your option”. That means you now buy the 100 shares at $110 per share and immediately sell them at $125 per share. You made $15 per share or $1,500. If the cost of the option was $250, then you made $1,250.

Now suppose the stock declines from the time you buy your option and at the end of November, the stock is selling for $90 per share. You simply choose not to exercise your option. You are out the $250 that the option cost but if you had purchased the stock at $110, you’d be out $2,000.

Let’s see a slightly different example…..

Now suppose you are really confident that the price of gold is going to go up as a result of a rise in tensions or a full blown outbreak of violence in the Middle East. Such a rise in gold might also rise as a result the outbreak of a political scandal in our own congress or some market segment of the US economy - like the housing market, savings and loans, mortgage holders, Wall Street insider trading, major trade imbalance, devaluation of the dollar, or any of a number of similar and predictable events.

Suppose you bought a call option in August 2007 for 120 days for 1000 ounces of gold at the going rate in August, let’s say it is $650 per ounce. Now you wait and watch the gold price increase as the Middle East and political problems approach and there is an increasing degree of panic among investors. The option is not cheap. It might be as much as $2,500.

By the late of December 2007, the price has gone up to $875 per ounce. You decide to exercise your option. You buy 1000 ounces of gold at $650 and immediately sell it at $875. You keep the difference of $225,000 minus the cost of the option. You pocket a total of $222,500.
But you are not done yet.

It is now January 2008, and the prospect that new politicians will resolve the Middle East issues is improving. There is also the issue of “regression to the mean”. The price of gold is way above its mean of under $500 for the past 35 years. It is unlikely to be able to sustain a 200% rise in the price of gold for very much longer.

As a result, you might be confident that the Middle East/political problem and the investor panic will subside sometime after December 2007 with a corresponding decrease in the price of gold. So in early December 2007, you buy another option. This one is a “put” option.

Your option is for 120 days for 1000 ounces at $875 per ounce. This means that if you exercise your option, the broker will buy your gold at $875 per ounce. In this mythical scenario, the option cost is still $2,500.

Now you wait until the end of February or into March 2008 and see that further political primaries, the Iraq surge and other events have dampened the turmoil in the Middle East and on the home economic front and the price of gold has dropped back to $600 per ounce. You buy 1000 ounces at that price and then exercise your option to sell it at $875 per ounce. The difference of $275,000 minus the cost of the option, nets you $272,500. Combined with your call option, you cleared $495,000 in 6 months and had virtually no out of pocket expense*.

Had the price of gold not followed the expected predictions, you were at risk for the first $2,500 call option but by early December, you would see that the price of gold is not following the predicted trends and you would decide to not buy the second option.

In other words, you have a $495,000 upside and a $2,500 downside in this investment. That is just about as good as it gets on Wall Street!If you know an even will happen, you can profit from it!
* Remember, there are other limitations and restrictions on options that I did not go into in this brief article that may affect your profits or the ability to buy the option at all.
Don’t make investments based on this article - do your homework and read all the details so you fully understand what you are doing first.  

Futures Trading

February 10th, 2008

Futures Trading

Futures And Commodity Trading
If you purchased a call option on gold and the price of gold steadily increased, you have an increasing chance of making a lot of money because you own that option. In other words, the option itself begins to have value simply because it represents the potential to make a lot of money. There is a thriving market in the buying and selling of these options.
In commodity trading, an option is called a futures contract and it works in a very similar manner as the put and call options described in other posts to this blog but with much greater leverage and margins. For this reason, the futures contracts can have great value and there is a very active market in the buying and selling of futures contracts. However, it gets very involved and can move very fast, at times, such that this is regarded as being one of the most difficult investments to manage and follow properly. Most experienced traders will avoid the futures market entirely.

Our position, at 21st Century Economics, is that we are not addressing the professional Wall Street investor with our service. We, therefore, do not advocate investments that require minute-by-minute attention to the rises and falls of the value of the investment. Futures trading is like that.

It is for this reason that we at 21st Century Economics do not advocate anyone get into the futures market unless you have lots of excess money, lots of time to learn and follow the market and can take the stress and risks of a very volatile market.  

Selling Short

February 10th, 2008

Selling Short

The Short Sale of Stock
The short sale of stock is your bet that the stock price of that stock will go down during a specific period of time. This can be a very useful tool when properly applied to any predicable event that has negative consequences for stocks.
Here is how it works:If you think that a company, let’s call them ABC, Inc., at a price of $110 is at or near its peak. You might feel that the stock price of ABC, Inc. will decrease sometime soon. How can you make money if you are certain that this will happen? The answer is by a technique called “selling short” or you say that you want to “short the stock”.

The Short and Simple Explanation:

You pay a fee for the “option” to buy stock at a future price so you can sell it now. In other words, you have the option to sell some stock now at a high price and then, at some time in the future, you buy it when the stock price has dropped.

The real neat trick is that you can wait until that future time to see if the price did, in fact, rise before you elect to sell the stock at today’s price. If the stock does not rise, you simple elect not to complete the transaction and all you forfeit is the cost of the option.

Typically, you buy the option and then wait to confirm that it is going to go down. If it begins, then you can elect to exercise your option and sell now at its current price of let’s say $110. Suppose you sell 100 shares for a total income of $11,000. Now you wait for the stock price to drop. When it reaches $85 per share, you buy 100 shares for $8,500. You sold the stock for $11,000 and bought it for $8,500. You made $2,500 minus the cost of the option.

Typically, the usual option buyer would buy much more than 100 shares. You can see that if you bought 10,000 shares, you would have made $250,000. The advantage is that you bought the 10,000 shares with money you made from the sale of the 10,000 shares. Sounds weird but it’s done everyday on Wall Street. You also have a low risk since if the stock goes up or does not change, you can elect to NOT exercise your option. You lose the fee you paid for the option but that’s all you are out of pocket.

Where this is most useful is when you KNOW that the stock will move down. In the case of a known political, economic or Middle East crisis, we often do KNOW that some stocks will go down and some will go up and then down. Therein lies your chance for profit.

You should read this next section but you can also skip down to the section marked Cautions.

The Longer Explanation:

As you might expect, it’s a little more complicated than what is listed above. Here’s how it really works.

You tell your broker you want to short 100 shares of ABC, Inc. at $110. This means that you are entering into an agreement with the broker to temporarily borrow 100 shares of this stock at $110/share for specified period of time. Technically, you are borrowing the 100 shares from your broker in order to sell them to someone else at the current price of $110.

The broker either has the shares in inventory or he borrowed them from a client or another brokerage firm. The sale is made and the shares are now in the hands of a third party that has paid $110 per share for them. At this point, you have not paid the broker any money but you do owe him for the 100 shares.

Now you wait. If the price of ABC, Inc. goes down, to $85, you then buy 100 shares of the stock at that price. You have now spent $8,500 for the 100 shares of stock. You now return to your broker the 100 shares of ABC, Inc. stock that you borrowed. You borrowed the stock at $110 and sold it at that price for $11,000. Then, later, you bought it back at $85. You made $25 per share in profit or $2,500. You sold the borrowed stock for $11,000 and bought it back for $8,500. Technically, you sold something before you owned it and bought it back after you sold it. Sounds crazy but that is what is called Selling Short.

Under some circumstances, it is possible to return the stock to the broker before you have to pay to buy it meaning that it is a paperwork drill until he sends you your $2,500 profit.

Cautions:

As with all stock transactions, there is a down side to this activity. Suppose the price of ABC, Inc. goes up to $125. You borrowed it from the broker and sold it at $110. Now he wants his stock back but the price has gone up. You now have to go into the market and buy 100 shares of ABC, Inc. at $125 per share or $12,500. You can then return the loaned stock to the broker. In this case, you lost $1,250.

There are ways to protect yourself from too much of a rise in price by using a ‘buy stop’ order GTC (Good Till Canceled). You decide that if the price of ABC, Inc. rises $5 you want to get out of the deal. You would place a buy stop order at $115. Then, if the price of ABC, Inc. rises to $115, you are assured that you will get out at about $115.

You may also want to get out of a short trade when you have hit a certain amount of profit. In this case, you would use a buy stop at you maximum loss level and a buy stop at your profit target level. This is called an either/or order. You are placing two orders to protect you if the stock rises and to take profit if the stock declines.

For the most part, brokerage firms do not place a time limit on the shares of stock they loan. This is because they make a commission both ways. And also, they want to keep the customer happy. There are some other rules and limits on this kind of sale but it has its rewards.

As you will see, selling short is a very useful technique when you know a stock or other investment will go down. What do you think will happen to all those defense contracting companies after this Iraq crisis all dies down? What do you think will happen to those defense contracts - like with Haliburton, if an anti-war president is put into power in 2009? What do you think will happen to GOLD after the panic passes about an oil crisis or a war with Iran? You can bet money that they will go down from their Bush Era highs. Make Money!  

Regression to the Mean

February 10th, 2008

Regression to the Mean

Regression to the Mean
History
In the late 1800’s, a Dr. Francis Galton was studying the genetics of how the height of the son related to the height of the father across a large population. What he found out was that if the father was tall compared to the mean (average) height of the population, then the son tended to be shorter than the father and that if the father was short as compared with the average male height of the population, then the son tended to be taller than the father.

This is contrary to the expectation of genetics which would seem to predict that the son’s inherited genetics would tend to be more similar to the father. Instead, what was happening was that each male person born in a family tended to contribute to the average for all males in society. That is, if one person in the family is tall then the next must be shorter to average out to the average height of the general population. Galton described this as “regression toward mediocrity” and went on to develop some very sophisticated math tools and techniques to do what he called “regression analysis”.

At first this sounds like it is a remarkable discovery but upon closer examination, it is just common sense. Let’s look at what would happen if this “regression toward mediocrity” did not happen. Let us assume that the expectation of the genetic inheritance was actually the predictor of the height of the son. This would mean that the occasional tall father would have tall sons. Unless they all grew to exactly the same height and then stopped, we can guess that the occasional son would be taller than his father. But if we follow the genetic expectation, that son would also have a tall son. If we extend this for a few dozen generations, we end of with lots of people dozens of feet tall.

This would also mean that there would not be a level average height for males in the general population but an increasingly taller trend that increases with each generation. Since that has not happened in all of history, there must be something wrong with the expectation of the genetic inheritance theory. Dr. Galton’s discovery does, in fact, apply to the general population but it has been found to apply to nearly everything that has an “average” value for some aspect of it’s description.

>>It should be noted that over the past few centuries, there has been a very slow rise in the average height in the general population - men and women - but it is due to an overall improvement in nutrition and health care rather than in genetics<<

Law of Math

Regression to the mean is a statistical phenomenon that is a fact of life in nature. It essentially occurs where the measures (for example the average heights of men) on the average regress toward the mean or average. The net effect of regression toward the mean is that the lower measurements tend to be higher, and the higher measures tend to be lower. It is important to note that regression is always toward the population mean of a group. That implies that there is a unique reference value, called the “mean”, that is an intrinsic part of every group of anything.

This intrinsic reference value, if known, allows you to define each and every individual in the group as being either above or below that value - above or below the mean or average of the group. The best example of this is in school testing of college students. Every student is tested and given a score that is relative to the overall average of the entire population that takes the tests. If you placed in the 10 “percentile” group, that means that you have a score that, on average, only 10 percent of the population gets. In this case, you are not being compared to getting a perfect score on the test but rather the comparison is against the highest scores made by anyone that took the test. This kind of test scores are called “grading on the curve”. The one student that makes the highest score is the “curve setter” and all the rest are scaled according to how many made each score so that in the end you have the familiar “bell curve” of scores for the entire population. That bell curve is the intrinsic reference value for that test and that population of students.

It has been said that regression toward the mean is a phenomenon that is similar to several everyday expressions such as “law of averages”, “things will even out” or “we are due for a good day after a string of bad ones”. And one that I would like to add is “it can’t possibly get worse (or better) than this!” Basically what all these phrases are saying is that “extreme experiences tend to be balanced by less extreme experiences”

Formal Math

Because regression can be applied to so many aspects of life and events, it is a highly developed aspect of mathematics called Regression Analysis. It uses some very sophisticated methods to look at what might otherwise be viewed as almost totally random data. I will not turn this into a mathematics textbook but I think it is important to understand that certain kinds of information can be very accurately defined with the precision of calculated numbers. Such calculations put relative quantities on the choices that we are faced with in our daily lives. When properly applied, they can be used to show us the favorable choice to make from among some very complex alternatives. For instance, in the lottery, betting, sports, politics and hundreds of other areas that require us to evaluate choices.

Below I have summarized some of the potential mathematic procedures that can be applied to the decision making processes. Don’t be confused or distressed by the complexity of these functions. You will see that, like the basic concept of regression, much of it is logical and common sense, once you know how to look at it.

Finding the Mean

If you have a lot of data and want to find the closest consistent pattern of the data, you can apply a technique called “curve fitting”. This is the basic function of regression analysis - to regress the data into a mean or average value and then be able to describe that average value in a formula. The result is a regression or prediction line or curve. It is called a prediction line because it can be used to predict the response to data you have not yet generated. For instance, the prediction line for a coin toss is 1 in 2 or 50-50. As we saw in the test runs of thousands of tosses, this prediction line could be a very accurate indicator of the response of future coin flips. In more complex regression, it is possible to determine the average response of medical studies, voter responses, accident and crime data or consumer buying patterns.

In the case of buying patterns of consumers, as the quantity of sample data (the number of products being studies) and the number of times each is recorded (number of buyers in the study), the accuracy of the prediction line improves. This gets so accurate that it become profitable for supermarkets to pay you, with discounts, so that they can get information about your buying patterns. They do this by getting you to register with their “buyer’s club” or with their “discount club” but what they actually did was get a lot of data about you and then record your every purchase so they are better equipped to market to your needs and appeal to your buying patterns.

Curve fitting or the creation of the prediction line is what the horse rasing bettor does in his head when he analyzes the past records for each horse before predicting which one will win the next race. Using regression analysis, that process can be quantified so that you have a number assigned to the chances for each horse in the next race. In each race, if you bet on the horse with the highest calculated chance of wining, you’d do better than the best racing bettors that ever lived.

Finding Multiple Independent Variables

How Good is your Prediction Line

In some cases, the real world data that you are trying to analyze appears to be very random and sporadic. What this means is that there is an average but each event or value might be very close or very far away from that average. In the stock market, this is called volatility and is the measure of how wildly the value of the stock swings from one day to the next. You can actually calculate this volatility using a technique called the Correlation Coefficient (CC). This is a value from 0 to 1 that says how close your prediction line is to the actual data. If the CC = 1 then you have an exact match and you can predict every single event with perfect accuracy. This might occur if you discover that each person in a particular store that buys diapers has a baby. An obvious conclusion but one that you can use if you are the store owner by offering everyone that buys diapers a coupon on bulk buying of baby food.

A value of CC=.5 would mean you have a 50-50 chance of prediction of the next even. This would be the case of a coin toss and it would not be that useful for betting. However, if you had a CC=.5 for data such as your chances of winning a large lottery prize, then you have a much more usable figure. The different is in the application of the prediction line to the alternatives of the response line - in other words, a 50% chance of a heads on a coin toss is not as useful as a 50% chance of winning the lottery. The Correlation Coefficient validates your ability to use the prediction capabilities of the regression analysis you have done.

Measure a Small Group - Apply the Results to a Large Group

There is a whole field of study called Statistical Inference that takes sample data and uses it to infer or predict what a larger group will do. This is the essence of the marketing analysis that is done with focus groups and public opinion polls. In fact, some very fancy math is used to determine the exact sample size in order to achieve a reasonable degree of accuracy. You can also decide on the degree of accuracy you wish to achieve (called the Confidence Interval) and then compute how many data points or samples you need to collect to achieve that degree of confidence in your resulting prediction line.

This aspect of regression and statistics is perhaps the one you have come into contact most often with and didn’t know it. Besides the focus groups and public opinion polls often used in politics, there are surveys and buyer pattern analysis that is taken on a small scale and then applied to a larger group. We sometimes call these “pilot studies” or “sample testing”. This is often the only method used in drug testing and yet it is used to “predict” the responses of everyone that will eventually take the drug.

If CC=0 then there is no more correlation between the plotted data and your prediction line than random chance would predict. There are, in fact relatively few such instances of analysis since it is now becoming more and more clear that even seemingly random events can be described by fancy formulas or sophisticated regression analysis.

In all cases, the regression must refer to some baseline or reference value. This value is held fixed or independent and then a second value is compared to it. The first value that is held fixed is called the independent or predictor variable and the second value is the dependent or response variable. In all our discussion, we have used predictor and response variables but have not called them that. For instance, in the coin toss, the 50% figure of heads or the 50% figure of tails is the predictor value. In our test flips we averaged 50.082% heads and 49.918% tails. These were the response variables. In the real world, the actual response variable may never exactly equal the predictor variable unless you spend a lifetime flipping coins. However, it should be noted that before we flipped a single coin, we could know that the RESPONSE of the flips would be VERY CLOSE to the PREDICTOR value - and it was.  

Stock Market Trends

February 10th, 2008

Stock Investments - MegaTrends

Stock Investments
Regression to MegaTrends

Investments in the Stock Exchange.
If I could tell you how to pick a stock on the stock market that would be the next Microsoft or Bell Telephone, I would be the richest person in the world. I’m not, but I have been successful in my investments. The reason is that I invest in the averages. To understand this, we have to understand a few things about the stock market first.

What makes any given stock go up or down almost defies logic and analysis. So many things can affect a stock’s value that the only successful investors are ones that totally involve themselves in every nuance of the business they are investing in. They know every aspect of the business, often better than the owners and managers of the business itself. There have been only a few such investors in all of the history of the stock market.

Peter Lynch, the portfolio manager of Fidelity Magellan Fund, was one such investor. He had a well-known reputation for knowing everything about a business before he invested in it. But what he was really doing is establishing a baseline or reference of performance on a company in order to more accurately predict what its future will be. This often took weeks or months of on-site study for each investment decision.

The attraction of most investors to put money into a single stock is the hope they will find the next Microsoft or Bell Telephone and their stock will skyrocket in value. Unfortunately, it can also lose everything. In fact, statistically speaking, the vast majority of initial price offerings (IPO’s) (what they call a new stock that is being introduced to the market for the first time) fail and the initial investors usually lose most or all of their investment. Although there are companies that can show very rapid gains, no one has figured out a way to precisely determine exactly which companies will fly high and which will fail.

As you can imagine, this investment decision process is very complex and requires the consideration of hundreds of parameters about the investment candidate. As a non-professional investor, you do not have the skills, time or access to do this kind of analysis and neither do most other investors.

As an alternative, they rely on investments in a broad range of stocks called mutual funds. These are groupings of individual stocks into a large collection of similar kinds of investments. For instance, they might all be from the same or related industries, such as automotive or health care; or, they may all have the same kind of investment strategy such as growth or income stocks or government bonds.

The objective is to average out the fluctuations and effects of any one stock in order to gain a more modest gain across a much larger group of stocks. It must work because that is where the vast majority of investors are now putting their money.

Peter Lynch studied and analyzed each stock that he invested in to establish a baseline or reference of past performance that he used to make investment decisions. So, too, must there be a reference for the groups of stocks that make up mutual funds. To meet this demand, Wall Street has created numerous “indexes” that plot the averages for dozens or hundreds of stocks. The most famous of these indexes is the Dow Jones Industrial Average (DJIA) which reflects the averages of only 30 industrial stocks that are suppose to be indicators of what the entire economy is doing. Another well known index is the Standard and Poor’s Stock Price Industrial Index or the S&P 500. This averages a dynamic list of the top 500 stocks on the New York Stock Exchange.

There are many others but they all have a common purpose - to supply the needed baseline or reference of performance on a group of stocks in order to more accurately predict what the investment potentials will be.
As we go from the performance of a single stock, to the performance of indexed stocks like the S&P 500 and to the mixtures contained in mutual funds, we get two characteristics:

As the number of stocks grouped together increase, the fluctuations of any one stock have less and less effect on the total value of the group. This is for two reasons:

(a) each individual stock makes up less and less of the total as the group gets larger and

(b) as one stock goes down, others in the group may go up, resulting in a more consistent and steady response to the changing economy.

As the number of stocks grouped together increases, the gains and losses tend to move into much more modest swings so that the average gains or losses are smaller than the gains and losses that you might get with a smaller group.

The swings of gains and losses is called volatility and is directly related to the risk you have of sharp and frequent changes in the value of the investment. In general, mutual funds are less volatile than an individual stock will be. The larger the mutual fund, the more likely it is to be stable and non-volatile.

As the average investor, you need a reference of performance that you can easily understand and easy to follow. Ideally, you would want to find a “megatrend” that you can invest in and be reasonably confident that it will result in profit. Use of indexes like the DJIA or the S&P 500 are a step in the right direction but if you look at a long term graphic chart of these indexes, you will see lots of fluctuations. It’s hard to base your investment decisions on a performance index that has an inconsistent trend. What we need is some other index that let’s us KNOW we will make money.

One impact of the two characteristics listed above is that although the high highs and the low lows are averaged out across the entire group of stocks, the end result is that your losses will always be less and your gains will be less than for a single stock. The larger the group you average together, the more they will tend toward a single average of gain or loss.

For instance, if you looked at investments in all of the various stocks related to railroads over the last 50 years, they would have an overall trend downward. A similar examination of all the various stocks related to the insurance business would show a general trend upward.

This kind of trend discovery also develops as you average a longer and longer period of time. For instance, if you average across one year, the S&P 500 was down by 1.54% in 1994 but up by 34.11% in 1995; however, it has shown an average gain of 11.54% over the last 15 years. These trends begin to emerge only when you average over a long enough period of time.

If we combine the idea of averaging across a large number of stocks and across a long period of time, we can discover if there are some megatrends that are inherent in the entire stock market.

Someone has done exactly that for the largest possible group of stocks and for the longest period of time possible. The result is the ultimate performance reference for the stock market investor.

Professor Jeremy J. Siegel has created an index for the entire stock market called the “real-total-return” trend. It considers all the stocks, not just the groups that make up various indexes or mutual funds. It also adjusts for inflation and considers the capital gains and dividends of the stocks. The period of time he considers is from 1801 through 1998.
That is as long as there are records to support an analysis. The resulting graphic overlooks the year-to-year fluctuations and economic turbulence and displays a remarkably stable long term total return on equities of 6.8% per year over and above inflation.

This is a remarkable discovery. It means that the overall basic trend of the stock market is increasing by that much every year for the past 197 years. The effect of that would be that if you invested just $1.00 in the market in 1801, you would have $561,264 dollars today (equal to more than $1,000,000 in 1801 adjusted dollars).

This is a useful performance index that you can use to make shorter term investment decisions, as you will see if you read the section about Regression to the Mean investment strategies.  

Futures Trading

February 10th, 2008

Futures Trading

Futures And Commodity Trading
If you purchased a call option on gold and the price of gold steadily increased, you have an increasing chance of making a lot of money because you own that option. In other words, the option itself begins to have value simply because it represents the potential to make a lot of money. There is a thriving market in the buying and selling of these options.

In commodity trading, an option is called a futures contract and it works in a very similar manner as the put and call options described in other posts to this blog but with much greater leverage and margins. For this reason, the futures contracts can have great value and there is a very active market in the buying and selling of futures contracts. However, it gets very involved and can move very fast, at times, such that this is regarded as being one of the most difficult investments to manage and follow properly. Most experienced traders will avoid the futures market entirely.

Our position, at 21st Century Economics, is that we are not addressing the professional Wall Street investor with our service. We, therefore, do not advocate investments that require minute-by-minute attention to the rises and falls of the value of the investment. Futures trading is like that.

It is for this reason that we at 21st Century Economics do not advocate anyone get into the futures market unless you have lots of excess money, lots of time to learn and follow the market and can take the stress and risks of a very volatile market.  

Hello world!

January 28th, 2008

Welcome to 21st Century Economics.  This is a freewheeling site of past, present and future facts that have been accumulated over the lifetime of several people that have collaborated on these articles.  If making money is any measure of credibility, then these articles should be used to teach economics.  Hope you can learn something and enjoy.

 Moses