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In 1973, three brilliant economists, Fisher Black, Myron Scholes and Robert Merton, discovered a mathematical breakthrough that revolutionized modern finance. The elegant formula they unleashed upon the world was sparse and deceptively simple, yet it led to the creation of a mulit-trillion dollar industry. Their bold ideas earned them a Nobel Prize and attracted the elite of Wall Street.
In 1993, Scholes and Merton joined forces with John Merriweather, the legendary bond trader of Salomon Brothers. With 13 other partners, they launched a new hedge fund, Long Term Capital Management, that promised to use mathematical models to make investors tremendous amounts of money with little risk. Their money machines reaped fantastic profit, until their theories collided with reality, sending them spiraling out of control. This crisis threatened to bring markets around the world to the brink of callapse.
Join NOVA in the quest to turn finance into a science. Plus, trace the little-known history of predicting financial markets and go to work with some successful modern traders who rely on intuition, as well as on mathematical models.
Terrific Little DocumentaryReviewed by Theseus, 2008-10-11
I want to second the reviewer that says much of the most
interesting part of this film is the discussion about the dynamic
between those who adopt purely quantitative strategies and the
tried and true belief in following one's gut.
I was also quite impressed by the extent to which Trillion Dollar
Bet managed to communicate using visuals. This is, after all, not a
visual subject. The many shots of trading floors were no surprise.
However, I took delight in seeing the wealthy investment gurus in
their cars, in their offices, and in their homes. That said quite a
bit about their personalities.
TDB, the best video on investing ever!!Reviewed by Nater, 2007-07-22
This is the most engaging and informative video on the subject of trading and speculation that exists. As Jesse Livermore stated, Speculation is as old as the hills. This video captures many of the aspects of speculation and shows that the same pitfalls that small individual investors get tripped up on are the same ones that multi-billion dollar hedge funds get tripped up on. Human nature is the same at all levels. Controlling human nature creates extraordinary returns.
NiceReviewed by Jonas S. Floriani, 2005-10-24
Very nice video! Tells the story of LTCM. It's not a deep documentary...they don't tell the details of operations LTCM did. They only tell about the mathematic formula that they got to manage the fund.
Biased but interestingReviewed by Dr. Lee D. Carlson, 2005-07-22
This program attempts to give an overview of the history and
investment strategies of Long Term Capital Management, an
investment firm and hedge fund that began in the mid nineties and
was finally closed in 1999. The program is both interesting and
informative, for it not only educates the viewer in some of the
history behind quantitative finance and options trading, but it
also illustrates current attitudes about mathematical modeling in
finance. Quantitative finance is still a huge part of institutional
investing, but there are still those traders who feel that it is
used too much, and a certain amount of hostility exists between the
"rocket scientists" or "quants" and the "intuitive" traders who
depend only minimally on mathematics. What is interesting about
this tension is that no one has really conducted a study that would
shed light on which approach is more optimal in terms of making
money for either individual investors or financial institutions.
Such a study would be fascinating, and would give valuable
information on trading strategies.
The viewer will learn of the attempts to find a mathematical
formula for risk, which after some decades of research was finally
arrived at by Myron Scholes and Fisher Black, with important
contributions from Robert Merton. The `Black-Scholes equation' is
now ubiquitous in financial engineering, and as the program
mentions, is used millions of times a day in trading pits to
estimate the price of an option. This part of the program is
actually very interesting, for it discusses the historical origins
of quantitative finance, one of these being the thesis of Louis
Bechalier. His thesis, entitled "The Theory of Speculation", is
described as being the first complete mathematical model of stock
market fluctuations and one that discussed the use of options to
control risk. The contributions of Bechalier were ignored for many
decades unfortunately, giving another example of the extreme bias
in academia.
Many of the conclusions drawn in this program are suspect. For
example, it is not known what factors really caused LTCM to go into
liquidation. The viewer is also led to believe that the LTCM
organization, through its vast positioning, aggravated the
financial turmoil at that time. No evidence for this is given in
the program, and many of the guests reflect a certain bias against
quantitative finance. For example, one of the guests on the
program, Stan Jonas of FINAT Brothers, refers to a collection of
people who one would want to "manage their money." But who are
these people and what justifies imputing to them this rare ability?
What is their track record in investment? Do they consistently make
money, and is this consistency verifiable to an external observer?
Jonas does not give any names or examples unfortunately, and his
statements do reflect to a certain degree a bias against
mathematical modeling in finance. Such a bias in and of itself is
not necessarily bad, but a reader who is really interested in
studying the difference in efficacies between trading strategies,
i.e. maybe between those that exploit complex mathematics and those
that do not, will not gain anything from Jonas' statements.
And then there is also Leo Melamed, the "intuitive trader" who is
described by the narrator as being "business savvy" and being the
founder of the financial futures markets. Melamed makes the
somewhat outlandish statement that "academics make terrible
traders," but he offers no evidence that this is true. Has he
conducted an historical study where a collection of academics and a
collection of "intuitive traders" engaged in financial trading and
the results compared? No, he has not, and his statement reflects
the tension that still exists between those who favor quantitative
approaches to trading, and those who trade "from the gut."
In the program Myron Scholes expressed the opinion that it is an
open question whether the models they used exacerbated the
financial turmoil at the time or indeed whether the instabilities
of the financial markets were a cause of flaws in the mathematical
models used. He is certainly correct in his opinion, and to this
day there have been no serious and objective studies of the LTCM
debacle. What really caused it, and what kinds of actions should be
taken in the future if a similar series of events happens again?
Financial modeling is of course still being done actively in all
major financial institutions at the present time. Simulation
modeling, using Monte Carlo techniques are one of the more standard
approaches used to price options. But there are other techniques
using highly advanced artificial intelligence that being deployed
also. The field of quantitative finance is thus a thriving one,
despite the skepticism expressed by some traders, reinforced as it
is by the statements of this program. It remains to be seen whether
trading based on financial engineering is always advantageous over
trading based on more `intuitive' approaches. There is no doubt
though that the behavior of the financial markets of the
twenty-first century will be totally different than what has been
observed before. This behavior will arise both because of the
nature of the financial instruments used and because of the
specific models used to study them.
"Mathematics does not drive financial markets. People do."Reviewed by Mary Whipple, 2004-12-27
Telling the story of Long Term Capital Management and the
mathematical formula underlying its investment strategy, this NOVA
special traces the development of the formula which helped to
create a multi-trillion dollar industry--and its 1997 meltdown,
which threatened markets around the world. In a clear presentation
geared for an audience of interested novices, non-mathematicians,
and financial wizards alike, NOVA explains the search for a formula
which could solve the problem of risk and return in the stock
market and turn financial investment into a science.
Economist Paul Samuelson in the 1950s first discovered the turn of
the century work of Bachelier, a French graduate student, who
posited that the development of options could protect investments
against stock fluctuations. In the 1960s, Myron Scholes, Fisher
Black, and Robert Merton further investigated the subject of
options in an effort to discover how one could take only the upside
and not the downside of options and how one might calculate the
correct price of an option at any moment in time by knowing the
current price of the stock. By devising a system of "dynamic
hedging," they believed that they could eliminate uncertainty of
movements and neutralize risk by spreading risks across
individuals, financial markets, and through time. Scholes and
Merton won the Nobel Prize for this pioneering work in economics,
Black having died the year before the award.
When traders actually began to use this formula in financial
markets, Scholes and Merton joined John Meriwether of Salomon
Brothers to set up Long Term Capital Management, a company which
was wildly successful until mid-1997, when two unforeseen, but
ultimately crucial, events occurred--property prices plummeted in
Thailand, and Russia reneged on its debt payment. LTCM continued to
hedge its global investments, even as markets continued to diverge.
Since LTCM stood to lose an astronomical $1.25 trillion if it
collapsed, the Federal Reserve stepped in to prevent a global
economic catastrophe.
Extensive interviews with Myron Scholes, Robert Merton, traders on
the Chicago Board of Trade, Alan Greenspan, and others make this
story come alive, offering cautionary notes about the continued use
of models when unprecedented events, not included in such models,
can have such profound effects on the world economy. Fascinating
and thought-provoking for even the neophyte investor, this
production illuminates the dictum that "Mathematics does not drive
financial markets. People do." Mary Whipple