Calculate the Detrended Price Oscillator (DPO) for a given price series.

The Detrended Price Oscillator (DPO) is an indicator that helps identify short-term cycles by removing longer-term trends from prices.

The formula is as follows:

\[\text{Displacement} = \operatorname{floor}(\text{Number of Periods} / 2) + 1\] \[\text{DPO} = \operatorname{Close}(t - \text{Displacement}) - \operatorname{SMA}(\text{Close},\; \text{Number of Periods}) (t)\]

Also known as: DPO, detrended price oscillator. Note the moving average itself is not shifted - only the close price used for the comparison is looked up further back in time; see momentum_model.get_detrended_price_oscillator for the full explanation.

Detrended Price Oscillator in Python or via the MCP

Install the Finance Toolkit with:

pip install financetoolkit -U

Then call get_detrended_price_oscillator as shown below.

from financetoolkit import Toolkit

toolkit = Toolkit(
    tickers=["NGUSD"],
    api_key="FINANCIAL_MODELING_PREP_KEY",
    start_date="2021-01-01",
    end_date="2025-12-31",
)

toolkit.technicals.get_detrended_price_oscillator().tail(5)

Or, after setting up the Finance Toolkit MCP, ask:

How did the price of natural gas cycle around its trend from 26 to 31 December 2025, measured by the Detrended Price Oscillator?

Which returns:

Date NGUSD Benchmark
2025-12-26 -0.0693 -12.8207
2025-12-28 -0.155 -7.9386
2025-12-29 -0.0764 -2.4429
2025-12-30 -0.0021 -0.8893
2025-12-31 -0.0493 0.9886

Parameters

get_detrended_price_oscillator accepts the following parameters.

ParameterTypeDescriptionExample
periodstrThe time period to consider for historical data. Can be “intraday”, “daily”, “weekly”, “monthly”, “quarterly” or “yearly”. Defaults to “daily”."weekly"
close_columnstrThe column in the historical data that represents the closing prices. Defaults to “Adj Close”."Close"
windowintThe number of periods to consider for the DPO calculation. Defaults to 14.20
roundingint | NoneThe number of decimals to round the results to. Defaults to None, which uses the rounding of the Toolkit (4 unless set otherwise).2
growthboolWhether to calculate the growth of the indicator values. Defaults to False.True
lagint | list[int]The lag to use for the growth calculation. Defaults to 1.4
standardizeboolWhether to standardize (Z-Score) the result. When combined with growth=True, standardizes the growth values instead of the raw values. Defaults to False.True
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