Calculate the Negative Volume Index (NVI) for a given price series.

The Negative Volume Index is a cumulative index that only updates on days where volume decreases from the prior period, compounding that day’s percentage price change onto the running index; on days where volume increases (or stays flat), the index is carried forward unchanged. The premise, per Fosback, is that “smart money” tends to be active on low-volume (quiet) days, so tracking price behaviour specifically on those days isolates informed trading from the noise of high-volume, crowd-driven days.

The formula is as follows:

\[\operatorname{Index}(t) = \operatorname{Index}(t-1) \cdot (1 + (\operatorname{Close}(t) / \operatorname{Close}(t-1) - 1)) \text{if Volume} (t) < \operatorname{Volume}(t-1)\] \[\operatorname{Index}(t) = \operatorname{Index}(t-1) \text{otherwise}\]

Also known as: NVI, Negative Volume Index.

Negative Volume Index (NVI) in Python or via the MCP

Install the Finance Toolkit with:

pip install financetoolkit -U

Then call get_negative_volume_index as shown below.

from financetoolkit import Toolkit

toolkit = Toolkit(
    tickers=["SPY", "IWM"],
    api_key="FINANCIAL_MODELING_PREP_KEY",
    start_date="2021-01-01",
    end_date="2025-12-31",
    benchmark_ticker=None,
)

toolkit.technicals.get_negative_volume_index().tail(5)

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

How did the Negative Volume Index of SPY and IWM, counted from the start of 2021, develop from 24 to 31 December 2025?

Which returns:

Date SPY IWM
2025-12-24 5440.48 4501.78
2025-12-26 5440.48 4501.78
2025-12-29 5440.48 4501.78
2025-12-30 5433.84 4468.59
2025-12-31 5433.84 4468.59

Parameters

get_negative_volume_index 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 name for closing prices in the historical data. Defaults to “Adj Close”."Close"
start_valuefloatThe index value to start the series at. Defaults to 1000.0.100.0
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 Negative Volume Index. 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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