Let me first say this article is a work in progress and is not quite a "Complete History of Quantitative Finance". **At least not yet.**

I'd love to make it complete by asking that you go to the Contact Page with any additional contributions to Quantitative Finance that
have not been mentioned **or** any corrections that may be needed to make this a complete history. Any contributors will get full credit and mentioned in the article with links.
Thank you in advance for your help.

With that said, the notable contributions listed below give a glimpse at where Quantitative Finance came from and how it has evolved over the last 200 years. So let's get started...

** Quantitative finance** is the application of math, especially probability theory, to financial markets. As traders and investors, we're always looking to employ high
probability strategies to increase profits and returns. Regardless of what investing strategy you use, chances are you are applying some type of quantitative finance in your approach to investing
or trading. The historical timeline below shows the notable contributions listed so far.

### 1827

Botanist Robert Brown, while looking through a microscope at particles trapped in cavities inside pollen grains in water, he noted that the particles moved through the water; but he was not able to determine the mechanisms that caused this motion. This random movement of the particles was aptly named Brownian motion.

Atoms and molecules had long been theorized as the constituents of matter, and Albert Einstein published a paper in 1905 that explained in precise detail how the motion that Brown had observed was a result of the pollen being moved by individual water molecules. This explanation of Brownian motion served as convincing evidence that atoms and molecules exist.

### 1863

**Jules Augustin Frédéric Regnault** was a French stock broker's assistant who first suggested a modern theory of stock price changes in Calcul des Chances et Philosophie de la
Bourse (1863) and used a **random walk model**.

He is also one of the first authors who tried to create a "stock exchange science" based on statistical and probabilistic analysis. His hypotheses were used by Louis Bachelier.

Interesting note on him is that he held about 70% of his 3.8 million fortune in bonds when he died suggesting he had applied financial theory to establish a fortune.

### 1900

**Louis Bachelier** was a French mathematician at the turn of the 20th century. He is credited with being the first person to model the stochastic process now called Brownian motion,
which was part of his PhD thesis The Theory of Speculation, (published 1900). His thesis, which discussed the use of Brownian motion to evaluate stock options, is historically **the
first paper to use advanced mathematics in the study of finance**. Thus, Bachelier is considered a pioneer in the study of financial mathematics and stochastic processes.

His work was largely ignored until the 1950s when financial economists began making heavy use of probability theory and statistics to model asset prices (in particular, options prices)

### 1905

**Karl Pearson** introduces the term **Random Walk**. His book *The Grammar of Science* was later to be a part of Einstein's theories as well as other
scientists.

**Modern description of a random walk** is a mathematical object which describes a path that consists of a succession of random steps. For example, the path traced by a molecule as
it travels in a liquid or a gas, the search path of a foraging animal, superstring behavior, **the price of a fluctuating stock** and the financial status of a gambler can all be
approximated by random walk models, even though they may not be truly random in reality.

### 1923

**Norbert Wiener** developed a rigorous theory for Brownian motion, the mathematics of which was to become a necessary modelling device for quantitative finance decades later.

The starting point for almost all financial models, the first equation written down in most technical papers, includes the Wiener process as the representation for randomness in asset prices

### 1945

Economist **Friedrich Hayek**, published in the September 1945 issue of *The American Economic Review*, makes the argument that markets are the most effective way of
aggregating the pieces of information dispersed amongst individuals within a society.

Given the ability to profit from private information, self-interested traders are motivated to acquire and act on their private information. In doing so, traders contribute to more and more efficient market prices.

In the competitive limit, market prices reflect all available information and prices can only move in response to news. **This notion preceded Efficient Market Hypothesis** but there
is a very close link to both EMH and Random Walk.

### 1970

Eugene Fama publishes an article in the May 1970 issue of the *Journal of Finance,* entitled "Efficient Capital Markets: A Review of Theory and Empirical Work." In this article, Fama
proposed two concepts that have been used on efficient markets ever since.

Fama is an American economist, often referred to as "The Father of Finance", best known for his empirical work on portfolio theory, asset pricing and stock market behavior.

The efficient-market hypothesis (EMH) was developed by Professor Fama who argued that stocks always trade at their fair value, making it impossible for investors to either purchase undervalued stocks or sell stocks for inflated prices. As such, it should be impossible to outperform the overall market through expert stock selection or market timing, and that the only way an investor can possibly obtain higher returns is by chance or by purchasing riskier investments.

In financial economics, the **EMH** states that asset prices fully reflect all available information. A direct implication is that it is impossible to "beat the market"
consistently on a risk-adjusted basis since market prices should only react to new information or changes in discount rates.

Again, please go to the Contact Page with any additional information or corrections you'd like to see added to help make this
**"The Complete History of Quantitative Finance"**.

If you'd prefer, you can message me on Twitter to become a contributor so I can ensure you get full credit.

Thank you,

Twitter Handle: @OptionAssassin

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