27 Mathematics
Mathematics is the soul of science as the vowels are
the souls of Hebrew letters. The theoretical models of math are similar to the
angelic models of our physical world. There are angels representing each
nation, each star in the sky, each blade of grass. Mathematical principles of
engineering are edifices in the world of Yetzirah; they are tools in the world
of Asiyah. We should know that G-d provides us with ideas. He sends them on
the ‘wings of angels’ to help us build the world around.
27.1 Euler’s
Theorem
27.2 Taylor
Series
Expansion
27.3 Probability
There was an episode of ‘Ed’, a lawyer/bowling alley series,
where Danny Davido, a comedian, plays a con-artist. He sends out letters to
people predicting which baseball team is going to win a particular game. An
unfortunate victim who received five letters with correct predictions decides to
place a bet with the con-artist’s bookie on the sixth prediction.
Needless to say he loses his money. Why, would the trend fail at this point?
Danny explains to his lawyer that he sends out 1000 letters with his first
recommendation, then 400 letter follow-ups where he was successful, than 100
letter follow-ups, etc. The point is there will be a few people who will get
letters where he was right five times in a row.
The point of this story
is that one should be very careful about investing on a trend. For example, in
mutual fund investing, there may be a handful of funds that seem to beat the
averages, but this may be simply because of chance. Human beings have mental
functions that are good at picking out trends. When we were hunters and
scavengers, this helped us return to good places to find food or water.
Information was limited and recognizing a trend was more likely to have reason.
Today with massive communication systems, trends of a few are more like the
con-artist scheme above. Our minds, has vshalom, overlook that one
investment’s success is often by chance because we picked it out of a
thousand failures. This is related to the illness of gambling.
27.4 Business
James Dines: "Stocks: The month of May used to be an inauspicious
month for new buying, but it has been improving. Despite many years of rising
markets, May has seen the DJI decline in 22 of the last 40 years, 55% of the
time, or has proven to be the prelude to significant declines in Junes or Julys
- that pave the way for the traditional "Summer Rally." Since 1965, the period 1
May to 30 Jun has been a loser 60% of the time (24 out of 40 years.) But, 13 of
the 16 exceptions (81%) occurred in the last 22 years, so the period has been
getting less bearish. May is the beginning month for the worst six months (1 May
- 31 Oct) of the year, a bullish factor for golds since they tend to move
opposite the market. The statistics were based on the Dow's average percentage
change for the six-month periods from 1950-2003 as applied to an arbitrary
investment portfolio of $10,000. Specifically, when compounded annually starting
in 1950, buying in May and selling by Oct, a $10,000 investment was reduced to
$9,682 by 2003, reflecting a loss of $318. On the other hand, buying in Nov and
selling by Apr resulted in an appreciated value of $492,060, reflecting a
$482,060 profit by 2003.
Memorial Week Rally: Investors who
nonetheless insist on buying might as well do so before the start of Memorial
Day weekend, May 23 to May 27 this year. The DJI rose during that week 12 years
in a row (from 1984-1995) - also 1999, 2000, 2003, and 2004. Downers during the
Memorial Day holiday include 1996, 1997, 1998, 2001 and 2002. All told, the
"memorial week rally" has come true 76% (16 of 21) of the time in the last 21
years.
The business cycle remains the most significant guide to
investing. During the market peak, (interest rates climbing), money market or
drug/medical companies. During the contraction (interest rates have stopped
going up), average into the market in dividend instruments. During the trough,
(interest rates have started declining), invest in growth stocks, oil, copper,
and REITs. During the expansion, (interest rates are flat or have started
rising), invest in growth companies.
27.5 Place
Holder