Calculate the Vortex Indicator for a given price series.

The Vortex Indicator quantifies the presence and strength of a directional trend by comparing each period’s price movement away from the prior period’s range to the period’s overall volatility (True Range). It consists of two lines, VI+ and VI-, whose crossovers signal potential trend changes: VI+ above VI- suggests an uptrend is in control, VI- above VI+ suggests a downtrend is in control.

The formula is as follows:

\[\text{VM} + = | \operatorname{High}(t) - \operatorname{Low}(t-1) |\] \[\text{VM} - = | \operatorname{Low}(t) - \operatorname{High}(t-1) |\] \[\text{VI} + = \operatorname{Sum}(\text{VM} +,\; \text{window}) / \operatorname{Sum}(\text{True Range},\; \text{window})\] \[\text{VI} - = \operatorname{Sum}(\text{VM} -,\; \text{window}) / \operatorname{Sum}(\text{True Range},\; \text{window})\]

Also known as: VI, Vortex Indicator +/-, trend direction indicator.

Vortex Indicator in Python

get_vortex_indicator is part of the Technicals module of the open-source Finance Toolkit. Install it with:

pip install financetoolkit -U

Then call get_vortex_indicator as shown below.

from financetoolkit import Toolkit

toolkit = Toolkit(tickers=["AAPL", "MSFT"])

toolkit.technicals.get_vortex_indicator().xs("AAPL", level=1, axis="columns")

Which returns:

Date VI+ VI-
2022-12-16 0.7841 1.0588
2022-12-19 0.7914 1.0685
2022-12-20 0.7615 1.1866
2022-12-21 0.6978 1.1025
2022-12-22 0.6841 1.1164
2022-12-23 0.6603 1.1994
2022-12-27 0.693 1.1657
2022-12-28 0.687 1.105
2022-12-29 0.6859 1.0921
2022-12-30 0.6736 1.1363

Parameters

get_vortex_indicator accepts the following parameters:

  • period (str, optional): The time period to consider for historical data. Can be “daily”, “weekly”, “quarterly”, or “yearly”. Defaults to “daily”.
  • close_column (str, optional): The column name for closing prices in the historical data. Defaults to “Adj Close”.
  • window (int, optional): The number of periods to sum the directional movement and true range over. Defaults to 14.
  • rounding (int | None, optional): The number of decimals to round the results to. Defaults to 4.
  • growth (bool, optional): Whether to calculate the growth of the VI+ and VI- values. Defaults to False.
  • lag (int | list[int], optional): The lag to use for the growth calculation.
  • standardize (bool, optional): Whether to standardize (Z-Score) the result. When combined with growth=True, standardizes the growth values instead of the raw values. Defaults to False. Defaults to 1.
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