Edward O. Thorp -- A Genius -- Professor, Mathematician, Inventor, & A Successful Investor
In his autobiography, A Man For All Markets, Thorp shares everything about his life, his achievements, his failures and most importantly he has deconstructed the way he thinks. And in the end, Thorp shares his views on how individuals should try to think.
Below are some of the sections and the most interesting statements, observations, learnings, views of Thorp. The words in Italics are my words to give additional clarity where required.
Preface
- I found a resource that made all the difference: I learned
how to think.
- I do all of these, but I also think using models. A model is
a simplified version of reality, like a street map that shows you how to travel
from one part of a city to another or the vision of gas as a swarm of tiny
elastic balls ceaselessly bouncing against one another.
- Because of circumstances, I was largely self- taught and that
led me to think differently.
- First, rather than subscribing to widely accepted views—
such as you can’t beat the casinos— I checked for myself. Second, since I
tested theories by inventing new experiments, I formed the habit of taking the
result of pure thought— such as a formula for valuing warrants— and using it
profitably. Third, when I set a worthwhile goal for myself, I made a realistic
plan and persisted until I succeeded. Fourth, I strove to be consistently rational,
not just in a specialized area of science, but in dealing with all aspects of
the world. I also learned the value of withholding judgement until I could make
a decision based on evidence.
Foreword
- True success is exiting some rat race to modulate one’s
activities for peace of mind. Thorp certainly learned a lesson: The most
stressful job he ever had was running the math department of the University of
California, Irvine. You can detect that the man is in control of his life. This
explains why he looked younger the second time I saw him, in 2016, than he did
the first time, in 2005.
Chapter 1: LOVING TO LEARN
- From the beginning, I loved learning through experimentation
and exploration of how my world worked.
- The books helped establish lifelong values of fair play, a
level playing field for everyone, and treating others as I myself wish to be
treated.
- The Great Depression’s twelve years of persistent widespread
unemployment, peaking at 25 percent, were suddenly ended by the greatest
government jobs program ever, World War II.
Chapter 2: SCIENCE IS MY PLAYGROUND
- Read through the list of 60 great novels, mostly American literature, by authors such as Thomas Wolfe, John Steinbeck, Theodore Dreiser, John Dos
Passos, Upton Sinclair, Sinclair Lewis, Ernest Hemingway, and F. Scott
Fitzgerald.
- Among foreign authors were Dostoyevski and Stendhal.
- I punctuated by hours of reading with body surfing and with thoughts about who I was and where I was going
Chapter 3: PHYSICS AND MATHEMATICS
- If you do this, what do you want to happen? and If you do
this, what do you think will happen?
- Understanding and dealing correctly with the trade- off
between risk and return is a fundamental, but poorly understood, challenge
faced by all gamblers and investors.
Chapter 4: LAS VEGAS
- I also believed then, as I do now after more than fifty
years as a money manager, that the surest way to get rich is to play only those
gambling games or make those investments where I have an edge.
Chapter 5: CONQUERING BLACKJACK
- It is also common in science for the time to be right for a
discovery, in which case it is made independently by two or more researchers at
nearly the same time.
- Famous examples include calculus by Newton and Leibniz, and
the theory of evolution by Darwin and Wallace.
- Proceedings of the National Academy of Sciences,
- On the other hand, students of plane geometry learn a simple
method for bisecting an angle this way. A small change in the problem, from
dividing an angle into two equal parts, to splitting it into three equal parts,
transforms an easy problem into an impossible one.
Chapter 6: THE DAY OF THE LAMB
- In the abstract, life is a mixture of chance and choice.
Chance can be thought of as the cards you are dealt in life. Choice is how you
play them.
- Claude asked me at dinner if I thought anything would ever
top this in my life. My thoughts then were much like I expected his to have
been: that acknowledgment, applause, and honor are welcome and add zest to life
but they are not ends to be pursued. I felt then, as I do now, that what
matters is what you do and how you do it, the quality of the time you spend,
and the people you share it with.
- This plan, of betting only at a level at which I was
emotionally comfortable and not advancing until I was ready, enabled me to play
my system with a calm and disciplined accuracy. This lesson from the blackjack
tables would prove invaluable throughout my investment lifetime as the stakes
grew ever larger.
- For the second time, the Ten- Count System had shown
moderately heavy losses mixed with “lucky” streaks of the most dazzling
brilliance. I learned later that this was a characteristic of a random series
of favorable bets. And I would see it again and again in real life in both the
gambling and the investment worlds.
Chapter 7: CARD COUNTING FOR EVERYONE
- He studied the theory of card shuffling, and the popular
press widely reported his conclusion that seven fairly thorough shuffles was
enough for practical purposes to randomize any deck of cards.
Chapter 9: A COMPUTER THAT PREDICTS ROULETTE
- In 1998 a New York Times Science Times article said that
mathematicians had discovered how networks might “make a big world small” using
the equivalent of the famous person idea, and attributed the concept of six
degrees of separation to a sociologist in 1967. Yet all this was known to
Claude Shannon in 1960.
Chapter 10: AN EDGE AT OTHER GAMBLING GAMES
- I am often asked what it takes to be a successful card
counter. I’ve found that an academic understanding is not enough. You need to
think quickly, be disciplined enough to follow the system, and have a suitable
temperament, including the ability to switch your mind into the here and now
and stay focused on the cards, the people, and your surroundings.
Chapter 11: WALL STREET: THE GREATEST CASINO ON EARTH
- I read stock market classics like Graham and Dodd’s Security
Analysis, Edwards and Magee’s work on technical analysis, and scores of other
books and periodicals ranging from fundamental to technical, theoretical to
practical, and simple to abstruse.
- Behavioral finance theorists, who have in recent decades
begun to analyze the psychological errors in thinking that persistently bedevil
most investors, call this anchoring (of yourself to a price that has meaning to
you but not to the market).
- Like my first mistake, this error was in the way I thought
about the problem of when to sell, choosing an irrelevant criterion— the price
I paid— rather than focusing on economic fundamentals like whether cash or
alternative investments would serve better.
- Lesson: Do not assume that what investors call momentum, a
long streak of either rising or falling prices, will continue unless you can
make a sound case that it will.
- I also learned from my losing silver investment that when
the interests of the salesmen and promoters differ from those of the client,
the client had better look out for himself. This is the well- known agency
problem in economics, where the interest of the agents or managers don’t
coincide with those of the principals, or owners.
Chapter 12: BRIDGE WITH BUFFETT
- Afterward, when I was thinking about Buffett, his favorite
game— bridge— and the nontransitive dice, I wondered whether bidding systems at
bridge might be like those dice. Could it be that no matter which bidding
system you use, there will always be another system that beats it, so there’s
no best system? If so, the inventors of new “better” bidding systems could be
chasing their tails forever, only to have their systems beaten by still newer
systems, which in turn might then lose to old previously discarded systems.
Chapter 13: GOING INTO PARTNERSHIP
- Unknown to Einstein, his equations describing the Brownian
motion of pollen particles were essentially the same as the equations that
Bachelier had used for his thesis five years earlier to describe a very
different phenomenon, the ceaseless, irregular motion of stock prices.
Bachelier employed the equations to deduce the “fair” prices for options on the
underlying stocks.
- Bachelier’s paper appeared in 1964 in The Random Character
of Stock Market Prices, edited by Paul Cootner and published by the MIT Press.
- Bachelier had assumed that changes in stock prices followed
a bell-shaped curve, known as a normal or Gaussian distribution.
- Moreover, PNP made money every month in its first six years
except for one in early 1974, when it declined less than 1 percent. From the
peak on January 11, 1973, to the bottom on October 3, 1974, the drop in the
stock market was a savage 48.2 percent, the worst since the Great Depression.
Even Warren Buffett said then that it was a good thing for his partners he’d
closed down when he had.
- Perverse
incentive by giving everyone a single pool of paid leave days that accumulated
based on the number of hours worked and covered paid holidays, vacations, days
off, and illness. Employees could use this time in any of these ways, subject
only to the limitation that time off not interfere with essential job
responsibilities.
- In fifty-five and a half years of marriage I don’t ever
remember her bragging. The closest she came was when I would admire the way she
matched the hues of her outfits or furnished our household with a designer’s
eye. She would look at me and matter- of- factly explain, “I have a good eye
for color.”
- Initially, I transferred to UCI’s Graduate School of
Management, where I enjoyed teaching courses in mathematical finance. But I
found factionalism and backstabbing as bad there as it had been in the Math
Department.
Chapter 14: FRONT-RUNNING THE QUANTITATIVE REVOLUTION
- We analyzed and incorporated tail risk, and considered
extreme questions such as, “What if the market fell 25 percent in one day?”
More than a decade later it did exactly that and our portfolio was barely
affected.
- The next big test of PNP’s investment approach came soon
afterwards. From 1979 through 1982 there were extreme distortions in the
markets.
Chapter 15: RISE . . .
- The prototype was Value Line, an investment service that
launched a program in 1965 using information such as surprise earnings
announcements, price- to- earnings ratios, and momentum to rank stocks into
groups from I (best) to V (worst).
- stock is said to have positive momentum if its price has
recently been trending strongly up, and negative momentum if strongly down.
- other data were marketed by CRSP, the University of
Chicago’s Center for Research in Security Prices.
- The Compustat database provided historical balance sheet and
income information.
- When the historical patterns persisted as prices unfolded
into the future, we created a trading system called MIDAS (multiple indicator
diversified asset system) and used it to run a separate long/ short hedge fund
(long the “good” stocks, short the “bad” ones). The power of MIDAS was that it applied to the entire
multitrillion-dollar stock market, with the possibility of investing very
large sums.
Chapter 17: PERIOD OF ADJUSTMENT
- What the hagglers and the traders do reminds me of the
behavioral psychology distinction between two extremes on a continuum of types:
satisficers and maximizers. When a maximizer goes shopping, looks for a
handyman, buys gas, or plans a trip, he searches for the best (maximum)
possible deal. Time and effort don’t matter much. Missing the very best deal
leads to regret and stress. On the other hand, the satisficer, so-called
because he is satisfied with a result that is close to the best, factors in the
costs of searching and decision making, as well as the risk of losing a near-
optimal opportunity and perhaps never finding anything as good again.
Chapter 18: SWINDLES AND HAZARDS
- In the early 1980s, a decade before coming across Madoff, I
learned of a remarkable investment manager. This foreign exchange trader was
racking up returns of 1 percent, 2 percent, 3 percent, and even 4 percent a
month. He seemed never to lose. I asked George Shows, an associate in my
Newport Beach office, to make an onsite visit to J. David Dominelli in nearby
La Jolla. George came back with the amazing track record and “advertising”
literature but could find no evidence of any actual trading activity. Our
requests for audited financial statements, proof of assets, and proof of trades
were smoothly deflected. I suspected a Ponzi scheme, and we didn’t invest. Two
years later Dominelli’s scam collapsed in 1984, wiping out $ 200 million and
defrauding one thousand investors, including many of the social, political, and
financial elite of the San Diego area.
- On HFT -- Some securities industry spokesmen argue that harvesting
this wealth from investors somehow makes the markets more efficient and that
“markets need liquidity.” Nobel Prize-winning economist Paul Krugman disagrees
sharply, arguing that high- frequency trading is simply a way of taking wealth
from ordinary investors, serves no useful purpose, and wastes national wealth
because the resources consumed create no social good.
- On Silly Reporters & Headlines -- Offering explanations for insignificant price changes is a
recurrent event in financial reporting. The reporters often don’t know whether
a fluctuation is statistically common or rare. Then again, people tend to make
the error of seeing patterns or explanations when there aren’t any, as we’ve
seen from the history of gambling systems, the plethora of worthless pattern-
based trading methods, and much of story-based investing.
Chapter 19: BUYING LOW, SELLING HIGH
- Market professionals describe stocks with large trading
volume as “liquid”; they have the advantage of being easier to trade without
moving the price up or down as much in the process. The latest prices from the
exchanges flow into our computers and are compared at once with the current
fair value according to our model. When the actual price differs enough from
the fair price, we buy the underpriced and short the overpriced. To control
risk, we limit the dollar value we hold in the stock of any one company. Our
caution and our risk- control measures seem to work. Our daily, weekly, and
monthly results are “positively skewed,” meaning that we have substantially
more large winning days, weeks, and months than losing ones, and the gainers
tend to be bigger than the losers.
- Scanning the computer screen, I see the day’s interesting
positions, including the biggest gainers and the biggest losers. I can see
quickly if any winners or losers seem unusually large. Everything looks normal.
I walk down the hall to Steve Mizusawa’s office, where he is watching his
Bloomberg terminal, checking for news that might have a big impact on one of
the stocks we trade. When he finds events such as the unexpected announcement
of a merger, takeover, spin-off, or reorganization, he tells the computer to
put the stock on the restricted list: Don’t initiate a new position and close
out what we have.
- Why is statistical arbitrage so-called? Arbitrage
originally meant a pair of offsetting positions that lock in a sure profit. An
example might be selling gold in London at $ 300 an ounce while at the same
time buying it at $ 290 in New York for a $ 10 gain. If the total cost to
finance the deal and to insure and deliver the New York gold to London were $
5, it would leave a $ 5 sure profit. That’s an arbitrage in its original usage.
- For instance, in what is called merger arbitrage, company A
trading at $ 100 a share may offer to buy company B, trading at $ 70 a share,
by exchanging one share of company A for each share of company B.
- The market reacts instantly and company A’s shares drop to,
say, $ 88 while company B’s shares jump to $ 83. Merger arbitrageurs now step
in, buying a share of B at $ 83 and selling short a share of A at $ 88. If the
deal closes in three months, the arbitrageur will make $ 5 on an $ 83
investment or 6 percent. But the deal is not certain until it gets regulatory
and shareholder approval, so there is a risk of loss should the negotiations
fail and the prices of A and B reverse. If the stocks of A and B returned to
their preannouncement prices, the arbitrageur would lose $ 12 = $ 100 − $ 88 on
his short sale of A and $ 13 = $ 83 − $ 70 on his purchase of B, for a total
loss of $ 25 per $ 83 invested, or 30 percent. The arbitrageur won’t take this
lopsided risk unless he believes the chance of failure to be small.
- The idea of the project was to study how the historical
returns of securities were related to various characteristics, or indicators.
Among the scores of fundamental and technical measures we considered were the
ratio of earnings per share to price per share, known as the earnings yield,
the liquidation or “book” value of the company compared with its market price,
and the total market value of the company (its “size”).
- The room also had its own safety system. In case of fire,
the air was automatically replaced by noncombustible halogen gas within eighty
seconds. Once this happened the room had too little oxygen for fire to burn or
for people to breathe. We practiced how to get out in time and to trigger the
halogen manually, if necessary.
- The Computing Power of PNP Partners -- Our facility was high- tech in the mid- 1980s, but with the
enormous increase in computer miniaturization, speed, and cheapness, now even
cellphones store many gigabytes. The room was chilled to a constant sixty
degrees Fahrenheit by its own cooling system and had sealed doors and dust
filters to keep the air clean.
- To control risk further, I replaced Bamberger’s segregation
into industry groups by a statistical procedure called factor analysis. Factors are common tendencies shared by several, many, or
all companies. The most important is called the market factor, which
measures the tendency of each stock price to move up and down with the market.
- The daily returns on any stock can be expressed as a part that follows the
market plus what’s left over, the so-called residual. Financial theorists and
practitioners have identified a large number of such factors that help explain
changes in securities prices.
- Some, like participation in a specified industry group or
sector (say, oil or finance) mainly affect subgroups of stocks. Other factors,
such as the market itself, the levels of short- term and long- term interest
rates, and inflation, affect nearly all stocks.
- The portfolio is already market-neutral by constraining the
relation between the long and short portfolios so that the tendency of the long
side to follow the market is offset by an equal but opposite effect on the
short side.
- Of course, there is a trade-off: The reduction in risk is
accompanied by limiting the choice of possible portfolios. Only those that are
market- neutral, inflation- neutral, oil- price- neutral, et cetera, are now
allowed, and so the attempt to reduce risk also tends to reduce return.
- We called the new method STAR, for “STatistical ARbitrage.”
- One reason is that buying undervalued securities tends to
raise the price, reducing or eliminating the mispricing, and selling short
overpriced securities tends to lower the price, once again shrinking the
mispricing. Thus, opportunities for beating the market are limited in size by
how trading them affects market prices.
Chapter 22: HEDGING YOUR BETS
- If you have an area of expertise, look for funds that your
knowledge can help you evaluate. Hedge fund data services typically list more
than a thousand or so funds from the several thousand that currently exist.
These services, along with Internet sources like Wikipedia, classify hedge
funds by asset types. Another way to sort is by methodology, such as:
fundamental, using economic data as opposed to technical, using just price and
volume data; or quantitative (using computers and algorithms) compared with
non-quantitative; or bottom-up (analyzing individual companies) versus top-
down (focusing on broader economic variables). Other important characteristics
are the fund’s expected returns, risks, and how the payoffs correlate with
those from other asset classes. For instance, the returns from funds that
exploit trends in the prices of commodity futures often are not correlated
significantly with the market. This can make them useful in reducing the
fluctuations in the value of your overall portfolio. There are equity long-
only funds, short- only funds, and long/ short funds. Market-neutral funds
(like PNP and Ridgeline) attempt to have returns uncorrelated with the market.
- Improperly charging expenses to the partnership is another
way that the limited partners get less than they should. The list of issues
goes on, the point being that hedge fund investors don’t have much protection
and that the most important single thing to check before investing is the
honesty, ethics, and character of the operators.
Chapter 23: HOW RICH IS RICH?
- Read up the article -- “Budget Basics: 25
Things You Can Do to Trim Yours Today”
- If you’re uncertain, put in a low value for what you own and
a high value for what you owe, leading to a conservative value for what you’re
worth.
- Later you will want to make a more accurate balance sheet,
which I do about once a year. The difference in balance sheet net worth from
one year to the next shows the change in your total wealth after income,
expenses, gains and losses.
- In the asset section, for each item list the amount of cash
you feel sure it would sell for in a reasonably short time. That car you bought
new a year ago for $ 45,000 might have a replacement cost of $ 39,000 now, but
you might be able to sell it for only $ 35,000. Put down $ 35,000. Recent sales
of houses comparable with yours might range from $ 925,000 to $ 950,000, but
after all sales and closing costs, you might net only $ 875,000. Put down $
875,000. What you owe on the mortgage will be deducted in the liabilities
section.
- A. Income, taxable and nontaxable: 1. Earned income such as
wages and salaries. 2. Unearned income such as interest and dividends. 3.
Realized capital gains and losses. 4. Royalties, honoraria, all other taxable
receipts. 5. Tax- free interest, such as municipal bonds.
- B. Nontaxable gains
and losses: 1. Appreciation or depreciation of property such as real estate,
art, and autos. 2. Unrealized capital gains or losses in securities. C.
Expenses (all money paid out for “costs”— that is, not saved): 1. Living
expenses, consumption. 2. Income taxes. 3. Gifts. 4. Any other money earned but
not saved.
- As the folly of paying unnecessary taxes dawned on
investors, the dividend rate paid by companies in the last part of the
twentieth-century dwindled and stock prices soared, shifting returns away from
income and toward capital gains.
- Category C is everything you spend or consume that doesn’t
contribute to your wealth. Think of your wealth at the start of the year as
liquid partly filling a huge measuring cup. The balance sheet tells you how
much is there. During the year categories, A and B tell how much you add and
category C tells you how much you takeout. The difference, A + B − C, is how much you added or subtracted
during the year.
Chapter 24: COMPOUND GROWTH: THE EIGHTH WONDER OF THE
WORLD
- “the rule of 72” It
says: If money grows at a percentage R in each period then, with all gains
reinvested, it will double in 72/ R periods.
- I apply this to the trade-offs among health, wealth, and
time. You can trade time and health to accumulate more wealth. Why health? You
may be stressed, lose sleep, have a poor diet, or skip exercise. If you are
like me and want better health, you can invest time and money on medical care,
diagnostic and preventive measures, and exercise and fitness. For decades I
have spent six to eight hours a week running, hiking, walking, playing tennis,
and working out in a gym. I think of each hour spent on fitness as one day less
that I’ll spend in a hospital. Or you can trade money for time by working less
and buying goods and services that save time. Hire household help, a personal
assistant, and pay other people to do things you don’t want to do. Thousand-
dollar- an- hour New York professionals who pay $ 50 an hour for a car and
driver so they can work while they commute understand clearly the monetary
value of their time.
- To get an idea of what your time is worth, take a moment now
to think about how much you work and the income you get from your effort. Once
you know your hourly rate you can identify situations where buying back some of
your time is a bargain and other situations where you want to be selling more
of your time. As you get used to thinking this way, I predict that you will
often be surprised at how much you can gain.
- Think of the single worker
who spends two hours commuting forty miles from hot and smoggy Riverside,
California, to a $ 25- an- hour job in balmy Newport Beach. If the worker moves
from his $ 1,200- a- month apartment in Riverside to a comparable $ 2,500- a-
month apartment in Newport Beach, his rent increases by $ 1,300 a month but he
avoids forty hours of commuting. If his time is worth $ 25 per hour he would
save $ 1,000 ($ 25 × 40) each month. Add to that the cost of driving his car an
extra sixteen hundred miles. If his economical car costs him 50 cents a mile or
$ 800 a month to operate, living in Newport Beach and saving forty hours’
driving time each month makes him $ 500 better off ($ 1,000 + $ 800 − $ 1,300).
In effect he earned just $ 12.50 per hour during his commute. Does our worker
figure this out? I suspect he does not, because the extra $ 1,300 a month in
rent he would pay in Newport Beach is a clearly visible cost that is painfully
and regularly inflicted, whereas the cost of his car is less evident and can be
put out of mind.
- Spend an average of forty or more hours a week watching
television (playing online games, watching movies, snapchat, twitter, etc). Those who do have plenty of “junk time,” which they can use instead
for an exercise or fitness program. Five hours a week for this can add five
years of healthy life.
Chapter 26: CAN YOU BEAT THE MARKET? SHOULD YOU TRY?
- In 2007-08: In some cases we could even buy SPACs holding US Treasuries
at annualized rates of return to us of 10 to 12 per cent, cashing out in a few
months. This was at a time when short- term rates on US Treasuries had fallen
to approximately zero! For those who still believe that the market always
prices securities properly, here’s a profit opportunity that arose because
investors couldn’t even do arithmetic.
Chapter 27: ASSET ALLOCATION AND WEALTH MANAGEMENT
Major Asset Classes and Subdivisions
EQUITIES
Common Stock Preferred Stock Warrants and Convertibles Private Equity
INTEREST
RATE SECURITIES Bonds US Government Corporate Municipal Convertibles Cash US
Treasury Bills Savings Accounts Certificates of Deposit Mortgage- Backed
Securities
REAL ESTATE Residential Commercial
COMMODITIES Agricultural
Industrial Currencies Precious metals
COLLECTIBLES (Art, gems, coins, autos,
etc.)
MISCELLANEOUS (MARKETABLE) PERSONAL PROPERTY Motor vehicles, planes,
boats, jewelry, etc.
- Investors who chase returns, buying asset classes on the way
up and selling on the way down, have had poor historical results. The tech
bubble that ended in 2000, the inflation in real estate prices that peaked in
2006, and the sharp drop in equity prices in 2008– 09 were especially costly
for them. On the other hand, the buy- low/ sell- high investors, whom you might
think of as “contrarian” or “value” investors, have tended to outperform by
switching some funds between asset classes.
- On Real Estates -- For many it is a large part of their
wealth. How good an investment has it been? In 1952, one of my uncles and his
wife paid $ 12,000 for a small one- story wood- and- stucco home in the
working- class community of Torrance, California. In 2006, he sold his house
near the peak of the real estate bubble, which was especially extreme in
California. Despite the deterioration of his neighborhood into a borderline
gang area, and the advanced age of his house, he netted about $ 480,000 after
taxes and commissions. His investment multiplied forty times in fifty- four
years, for a compound annual return of 7 percent. Also, his expenses of a few
percent a year in property taxes and maintenance were less than what he would
have paid to rent a similar property.
- To cut taxes, start with a tracking basket and, each time a
stock drops, say, 10 percent, sell the loser and reinvest the proceeds in
another stock or stocks chosen so the new basket continues to track well. If
you want only short- term losses, which is usually best, sell within a year of
purchase. I advise anyone considering doing this in a serious way to study it
first with simulations using historical databases.
- The lack of liquidity in hedge funds and in real estate
would prove costly for investors in the 2008– 09 recession.
- Because you can’t get out in time when trouble is coming,
the excess returns you expect from illiquid investments may be offset by the
economic impact of unforeseen future events.
- The lesson of leverage is this: Assume that the worst
imaginable outcome will occur and ask whether you can tolerate it. If the
answer is no, then reduce your borrowing.
- In his fascinating history of the topic, Fortune’s Formula,
William Poundstone points out that for a favorable bet that pays odds of $ A
for a bet of $ 1, the optimal Kelly bet is the percent of your capital equal to
your edge, divided by the odds, A.
- Kelly’s criterion is not limited to two- value payoffs but
applies generally to any gambling or investing situation in which the
probabilities are known or can be estimated.
(1) The investor or
bettor generally avoids total loss;
(2) the bigger the edge, the larger the
bet;
(3) the smaller the risk, the larger the bet.
(1) The Kelly
Criterion may lead to wide swings in the total wealth, so most users choose to
bet some lesser fraction, typically one- half Kelly or less;
(2) for investors
with short time horizons or who are averse to risk, other approaches may be
better;
(3) an exact application of Kelly requires exact probabilities of
payoffs such as those in most casino games; to the extent these are uncertain,
which is generally the case in the investment world, the Kelly bet should be
based on a conservative estimate of the outcome.
- Investing heavily in extremely favorable situations is
characteristic of a Kelly bettor.
Chapter 28: GIVING BACK
- We wanted at least 90 percent of the amount we gave to be
spent directly on our target purpose, rather than on fundraising and
administration. You can check this percentage for any nonprofit organization
from its annual financial statements by looking at the ratio of money spent on
the target to the amount of money spent overall.
- Vivian and I were indebted to the University of California
system for giving us a quality education that we could not have afforded
otherwise. It was also where we met. We enjoyed saying thank you.
Chapter 29: FINANCIAL CRISES: LESSONS NOT LEARNED
- But the key to the disaster that followed was easy money and
leverage. Investors could buy stocks on as little as 10 percent margin, meaning
that they could put up only 10 percent of the purchase price and borrow the
other 90 percent. It sounds eerily familiar because it is. The 2008 collapse in
housing prices had the same cause: unlimited unsound loans to create highly
leveraged borrowers.
- Brooksley Born wanted to regulate the derivatives that would
later be a major cause of disaster, the PBS program Frontline detailed how she
was blocked in 1998 by the triumvirate of Federal Reserve chairman Alan
Greenspan, US Treasury Secretary Robert Rubin, and Deputy US Treasury Secretary
Lawrence Summers, all of whom would later advise government on the 2008–09
bailout. Nassim Taleb asked why, after a driver crashes his school bus, killing
and injuring his passengers, he should be put in charge of another bus and
asked to set up new safety rules.
- 2004, five major investment banks persuaded the US
Securities and Exchange Commission to increase their allowable leverage.
Previously, they could borrow $ 11 for every $ 1 of net worth. This meant they
only had $ 1 out of every $ 12, or 8.33 percent, as a cushion against disaster.
Under its chairman Christopher Cox, the SEC allowed Goldman Sachs, Morgan
Stanley, Merrill Lynch, Bear Stearns, and Lehman Brothers to expand their
leverage to something like 33:1, rivalling the levels that doomed the ill-
fated hedge fund Long-Term Capital Management just six years earlier. With,
say, $ 33 in assets and $ 32 of liabilities for each $ 1 of net worth, a
decline of a little over 3 percent in assets would wipe out their equity. Once
this happened and a bank was known to be technically insolvent, creditors would
demand payment while they could still get it, triggering a classic run on the
bank, just as in the 1930s.
- Programs like the Works Progress Administration (WPA) and
the Civilian Conservation Corps (CCC), which I remember from my childhood,
built roads, bridges, and public works during the 1930s, and the improvement in
our infrastructure benefited us all for decades.
- How can we prevent future financial crises driven by the
systemic and scarcely regulated use of extreme leverage?
- Institutions that are “too big to fail,” and have a
significant risk of doing so should be broken into pieces that are small
enough to fail without jeopardizing the financial system.
- Canada did not see any massive meltdown in 2008. The difference was that Canada had strict standards for
mortgages and tighter limits on bank leverage and risk.
- We privatize profit and socialize risk.
- Compared with one of their average workers, CEOs in 1965
took home 24 times as much but “four decades later the ratio was 411 to 1.”
- Another indication of increasing economic inequality is the
share of national income captured by the top one- hundredth of 1 percent of all
earners. In 1929 they captured 10 percent of national income. This fell to
about 5 percent during the Great Depression, gradually rising again beginning
in the 1980s. In the last few years the share of national income claimed by
these 12,500 households broke its 1929 record of 10 percent and continues to
increase. These executives claim that their compensation inspires them to be
the creative engines of capitalist society, benefiting all of us. The crisis of
2008 is one of our rewards.
- Studies done both before and after the 2008–09 recession showed that the larger the percentage of
corporate profit paid to the top five executives, the poorer the earnings and
the stock performance of the company.
- However, as Moshe Adler, in his article “Overthrowing the
Overpaid,” points out, economists David Ricardo and Adam Smith, writing more
than two hundred years ago, “concluded that what a person earns is determined
not by what that person has produced but by that person’s bargaining power. Why? Because production is typically carried out by teams .
. . and the contribution of each member cannot be separated from that of the
rest.”
- The company rules are deliberately designed to make it
difficult or impossible for independent shareholders to nominate directors or
place issues on the ballot. Instead, corporations — their legal existence
already being permitted and regulated by the state— should be required to
conduct democratic elections following the usual voting rules in our American
democracy. Moreover, any block of shareholders that together holds some
specified percentage of the shares should have the unrestricted right to nominate
directors and to put issues on the ballot, including the replacement of board
members and top executives.
- Management may, for instance, own A shares with ten votes
each and the public may own B shares with one vote each. How would you like to
live in a country where any “insider” could cast ten votes and any “outsider”
got only one? Abolish this and make it one share, one vote.
- Institutions that hold shares in custody for their owners
can cast proxy votes for those shareholders who decline to vote. These proxies
usually perpetuate current management and ratify its decisions. Change this so
that the only votes that count are those cast directly by the shareholder; so-
called proxy votes would not count. These two measures— democratic elections
and shareholder rights to put issues to a vote— would allow the owners of the
company, namely, the shareholders, to exert control over the compensation of
top executives, their so-called agents, and would, in my opinion, be far more
effective and accurate than direct government regulation.
- As the philosopher George Santayana famously warned, “Those
who cannot remember the past are condemned to repeat it.”
Chapter 30: THOUGHTS
- Education has made all the difference for me. Mathematics
taught me to reason logically
- Physics, chemistry, astronomy, and biology revealed wonders
of the world and showed me how to build models and theories to describe and to
predict. This paid off for me in both gambling and investing.
- One of the major public policy issues today is the trade-
off between the costs and the benefits of certain procedures. Some choices are
stark. Is it better to spend $ 500,000 to save the life of someone with super-drug-resistant tuberculosis or to use the same amount to save fifty lives by
delivering fifty thousand doses of flu vaccine at $ 10 each to schoolchildren?
Statistical thinking can help us with choices like these.
- I believe that simple probability and statistics should be
taught in grades kindergarten through twelve and that analyzing games of chance
such as coin matching, dice, and roulette is one way we can learn enough to
think through such issues. Understanding why casinos usually win might help us
avoid gambling and teach us to limit our losses to their entertainment value.
- Gambling now is largely a socially corrosive tax on
ignorance, draining money from those who cannot afford the losses.
- Most of what I’ve learned from gambling also is true for
investing. People mostly don’t understand risk, reward, and uncertainty.
- This well- known strategy, called laddering, generally pays
off because longer-term US bonds, with more price fluctuation, before they
mature, generally yield more. Five- year bonds have beaten thirty- day T- bills
by about 1.8 per cent annually over the last eighty- three years.
- One of my great pleasures from the study of investing,
finance and economics is the discovery of insights about people and society.
The physical sciences have rules such as the law of gravitation that generally
holds true in the world as we know it. But human beings and the way they
interact aren’t covered by broad, unchanging theories and may never be. Instead
I’ve come across more limited concepts that tie things together and serve as
shortcuts to understanding.
- Productivity would be maximized as though guided by an “invisible hand.”
The notion is of limited use, because most markets are not as Smith assumed.
Take computer chips: 99.8 percent of them, worldwide, are made by just two US
companies, and the smaller one is fighting to survive.
- “The tragedy of the
commons,” as explained in 1968 by Garrett Hardin. Example of the tragedy of the commons -- On a global scale, we have the example of pollution.
Individual humans have freely burned fossil fuels and greatly increased the
amount of greenhouse gases such as CO2, leading to a continuing rise in the
earth’s temperature over the last century. The tiny particles also emitted have
caused lung diseases and deaths. But each polluter gains more individually from
his own actions than he loses, so he has no direct pressure to change.
- “Externalities.” In the arcane jargon so beloved by
the economic priesthood, an externality is a cost or benefit for society that
results from private economic activity. The externality is negative in the case
of air pollution. The “fair” solution then becomes obvious: Estimate the damage
and tax it by that amount. Externalities also can be positive.
- Berkshire Hathaway’s Charlie Munger presents his list of
such thinking tools in the engaging Poor Charlie’s Almanack: The Wit and Wisdom
of Charles T. Munger. This multidisciplinary collection of insights includes a
favourite of mine for understanding deals and relationships, namely, “Look for
the incentives,” which is closely related to finding “Cui bono?” or “Who
gains?” Cui bono instantly explains why seven thousand US gun dealers, lining
the border with Mexico from Tijuana to Corpus Christi, are allowed freely to
provide nearly all the military- level arms used by the Mexican drug cartels.
- More insights come from a much bigger idea of fundamental
importance for all investors, the recognition that the group I call the
politically connected rich are the dominant economic and political power in the
United States. This is a key concept for understanding what happens in our
society and why it happens. They are the ones who buy politicians, using
campaign contributions, career opportunities, investment profits, and more. As
owners of wealth who also control power, they run the country and will continue
to do so. We saw how they used the government to bail them out of the financial
crisis of 2008– 09. The power in this group resides mostly in those who are in
the upper 0.01 per cent of wealth holders, currently worth $ 125 million or
more.
- Another theme for dealing with public policy issues is to
simplify rules, regulations, and laws.
- The hardest part, more often than not, is passing laws to
implement it. This has become harder, as the political clash between the
parties in the United States has become extreme. Politics once called the art
of the possible, is becoming the art of the impossible. Gridlock between
uncompromising factions was one cause of the fall of the Roman Empire.
- History, arguably, has had just two great superpowers, the
Roman Empire after the defeat of Carthage, and the United States after the fall
of the Soviet Union. Of great importance for long- term investors is whether
the US will be the dominant world power in the twenty-first century, or
whether we have peaked, dissipating our strength in costly foreign wars,
financial mismanagement, and domestic strife. The first scenario could lead to
another century of equities returning 7 per cent a year after inflation. The
other outcome could be far less pleasant. I reassure the pessimists by noting
that we’re still rich, still innovating, and besides, Rome wasn’t destroyed in
a day. Nations that were once among the most powerful, such as Britain, France,
Italy, Spain, the Netherlands, and Portugal, are still among the most developed
and civilized of countries. To the optimists, I mention the obvious: endless
deficits, massive wastage of lives and wealth in wars, political subsidies
(pork, bailouts, corporate welfare, paying the able-bodied not to work), and
destructive partisanship in all three branches of government. Meanwhile, the
rise of China is transforming the geopolitical and economic landscape.
- The ten campuses of the University of California, once among
the finest public systems of higher education in the world, raised tuition to $
12,000 a year by 2015. When I was a student in 1949 it was $ 70, which is like
$ 700 today, adjusting for inflation. A good education was available to any
qualified student. The university’s graduates went on to lead the technological
revolution, but by 2014 the state contributed only about 10 per cent of the
total cost of all campus operations. If the UC system doubled tuition and fees
it could drop state support altogether and go private! Since out- of- state and
foreign students are charged three times the tuition paid by California
residents, individual deans and administrators are raising more money by
replacing the latter by the former. Meanwhile gifted foreign students, many of
them Chinese, receive advanced degrees in the United States and return home,
rather than struggle for postdoctoral funding and permission to become
residents. Talented American- born scientists and engineers are joining them in
a reverse brain drain. Economists have found that one factor has explained a
nation’s future economic growth and prosperity more than any other: its output
of scientists and engineers. To starve education is to eat our seed corn. No
tax today, no technology tomorrow.
Epilogue
- Life is like reading a novel or running a marathon. It’s not
so much about reaching a goal but rather about the journey itself and the
experiences along the way. As Benjamin Franklin famously said, “Time is the
stuff life is made of,” and how you spend it makes all the difference.