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Financial Systems

During the development of the ideas in this book I have been asked many times whether they might apply to financial systems. There is no doubt that they do, and as one example I will briefly discuss here what is probably the most obvious feature of essentially all financial markets: the apparent randomness with which prices tend to fluctuate.

Whether one looks at stocks, bonds, commodities, currencies, derivatives or essentially any other kind of financial instrument, the sequences of prices that one sees at successive times show some overall trends, but also exhibit varying amounts of apparent randomness.

So what is the origin of this randomness?

In the most naive economic theory, price is a reflection of value, and the value of an asset is equal to the total of all future earnings—such as dividends—which will be obtained from it, discounted for the interest that will be lost from having to wait to get these earnings.

With this view, however, it seems hard to understand why there should be any significant fluctuations in prices at all. What is usually said is that prices are in fact determined not by true value, but rather by the best estimates of that value that can be obtained at any given time. And it is then assumed that these estimates are ultimately affected by all sorts of events that go on in the world, making random movements

Captions on this page:

Examples of rules in which cells in the horizontal and vertical directions are weighted differently. In the first case, cells at distances 2 and 3 only have an effect in the vertical direction; in the second case, they only have an effect in the horizontal direction. The result is the formation of either vertical or horizontal stripes.

From Stephen Wolfram: A New Kind of Science [citation]