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Financial Time Series – Meaning & Examples

Most financial data comes in the form of a time series. Understanding this structure is the first step in quantitative finance.

What is a Time Series?

A Time Series is a sequence of data points collected or recorded at successive time intervals. In finance, this usually means the price or value of an asset recorded over time.

Note

Definition: A Financial Time Series is an ordered sequence of observations of a financial variable (like stock price, interest rate, or exchange rate) occurring at equally spaced time intervals.

Notation: Let Pt be the price of an asset at time t. The series is denoted as {Pt, Pt-1, ...}.

Examples of Financial Time Series

  1. Stock Prices: Closing price of Reliance Industries every day for the last 10 years. (Daily frequency)
  2. Exchange Rates: The value of 1 USD in INR recorded every minute. (High-frequency)
  3. Interest Rates: The RBI Repo Rate recorded every quarter. (Quarterly frequency)
  4. Earnings: EPS of a company reported every quarter.

Cross-Sectional Data vs. Time Series Data

It is crucial to distinguish between these two types of data.

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Components of Time Series

When analyzing financial time series (like a stock chart), we can decompose it into:

  1. Trend: The long-term direction (Bull market or Bear market).
  2. Seasonality: Repeating patterns (e.g., gold prices rising during Diwali).
  3. Cyclicality: Economic cycles (Expansion/Recession).
  4. Noise (Irregularity): Random shocks or news events (The unpredictable part).

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