I was reading “The Black Swan” by Nassim Taleb — one of the best books I’ve read in years — and he dedicated the book to a mathematician by the name of Benoit Mandelbrot. He mentions Mandelbrot several times in the book – particularly about his theories on market volatility and his library of book he hasn’t read. Taleb also credits Mandelbrot with being the first mathematician to correctly describe the financial markets as truly random, claiming: “it was Mandelbrot who a) connected the dots, b) linked randomness to geometry (and a special brand at that) and c) took the subject to its natural conclusion.”
Mandelbrot invented a type of geometry called “Fractal” Geometry. It is based on the theory that the smallest part echoes the whole, and shapes/movements/price changes of securities are random, violent and the opposite of what many traditional finance theorems teach.
After completing Taleb’s book and reading all of his other works, it was time for me to dig deeper and explore the source of many of his theories. So I bought “The Misbehavior of Markets.”
I do not pretend to be a mathematician. I was a math major in college until I took “Enhanced Multivariable Calculus” my sophomore year, taught by a nice German man with an inaudible German accent. Between the accent and the fourth dimension, I was thoroughly lost in space and time. Luckily that same semester I took Professor Dick Kochanek’s Accounting 101 class, and I became an accounting major and was saved the humiliation of completing my studies in a math club to which I did not belong.
All that said, I am still interested in the intersection of math and finance, and reading about Mandlbrot’s theories and stories and idiosyncrasies was an absolute joy. He was a quirky guy, and it comes across in his writing. His humor is dry and pithy and he’s got a wonderful way of praising and critiquing someone at the same time. He does this with great skill with folks like Sharpe, Gauss, and Brown.
If you’re a math geek or enjoy digging into financial portfolio and risk theory, this book would be right up your alley. I do not recommend it for the casual reader. Try reading “The Black Swan” first – if you’re still curious, then perhaps pick up this book.
Vocabulary Words
Usually I cull interesting quotes out of the books I read but today I wanted to share some words. Mandelbrot was erudite beyond description and his vocabulary was stellar. Between French, British and American (probably less American) intellectual exposure, he developed a deep grasp of language which pervades his prose. Below are a few gems (with definitions) I spotted:
- Orthogonal: at right angles
- Variegated: exhibiting different colors, especially as irregular patches or streaks
- Fractal (term coined by Mandelbrot): “from the Latin for “broken”, a geometric shape that can be broken into smaller parts, each a small-scale echo of the whole. The branches of a tree, the florets of a cauliflower, the bifurcations of a river – all are examples of natural fractals.”
- Promontory: point of high land that juts out into a large body of water
- Vertiginous: causing vertigo, especially by being extremely high or steep
- Kurtosis: the sharpness of a peak of a frequency-distribution curve; “from the Greek kyrtos, or curved. But we can think of it as how much ‘spice’ is in the statistical broth.”
- Frond: the leaf or leaflike part of a palm, fern or similar plant
- Vellum: fine parchment made originally from the skin of a calf
- Penury: extreme poverty
- Boffin (Brit): a person engaged in scientific or technical research
- Rococo: of or characterized by an elaborately ornamental late baroque style of decoration prevalent in 18th century Continental Europe
- Invidious (of an action or situation): likely to arouse or incur resentment or anger in others
And one quote to drive home Mandelbrot’s genius:
- “All models by necessity distort reality in one way or another.”
While this book is not for everyone, if you have the curiosity of a scientist or a mathematician, you will love this book. Mandelbrot is a welcomed break from the usual drab financial and economic books.
Have you ever heard of any of the above vocabulary words? If so use one in a sentence for me below in the comment section. Best sentence gets a prize. And if you like my review please like it and follow me on twitter @markleyjr. Thanks!