# DEFINITIONS: What is a Random Walk?

Welcome to our “DEFINITIONS” series, where we take complex concepts and break them down into simple terms. Today, we’re going to explore the concept of a random walk. If you’ve ever wondered what it means when someone says, “the stock market is following a random walk,” or if you’re just curious to learn something new, you’ve come to the right place!

## Key Takeaways:

- A random walk is a mathematical concept that describes a path or sequence of values that appears random and unpredictable.
- In a random walk, each step is determined by chance or randomness and is independent of the previous step.

So, what exactly is a random walk? In simple terms, a random walk is a mathematical model that describes a path or sequence of values that appear random and unpredictable. It is often used to model various natural and social phenomena, such as financial markets, particle movement, or even the behavior of molecules.

Here are two key takeaways to help you better understand a random walk:

- A random walk is characterized by randomness: In a random walk, each step is determined by chance or randomness and is independent of the previous step. The outcome of each step is unpredictable, making it difficult to discern any patterns or trends.
- A random walk can be represented graphically: One way to visualize a random walk is to plot the data points on a graph, with each point representing a step in the sequence. The resulting graph often shows a path that zigzags, resembling a walk with no clear direction or purpose.

But why is this concept important? Random walks have applications in various fields, particularly in finance and economics. The efficient market hypothesis, for example, is based on the idea that stock prices follow a random walk, meaning that they cannot be predicted with any reliable certainty. This understanding can impact investment strategies and risk assessment in financial markets.

In conclusion, a random walk is a mathematical concept that describes a path or sequence of values that appear random and unpredictable. It is characterized by randomness and lacks any discernible patterns or trends. Understanding the concept of a random walk can be valuable in fields where unpredictability plays a crucial role, such as finance and economics.