Value at Risk (VaR)
Calculate the Value at Risk (VaR) of an investment portfolio or asset’s returns.
Value at Risk (VaR) is a risk management metric that quantifies the maximum potential loss an investment portfolio or asset may experience over a specified time horizon and confidence level. It provides insights into the downside risk associated with an investment and helps investors make informed decisions about risk tolerance.
The VaR is calculated as the quantile of the return distribution, representing the loss threshold that is not expected to be exceeded with a given confidence level (e.g., 5% for alpha=0.05).
Also known as: VaR, maximum expected loss, portfolio loss risk.
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Calculate the Value at Risk (VaR) in Python
The Value at Risk (VaR) is available in the Risk module of the open-source Finance Toolkit. Install it with:
pip install financetoolkit -U
Then call get_value_at_risk as shown below.
from financetoolkit import Toolkit
toolkit = Toolkit(["AMZN", "TSLA"], api_key="FINANCIAL_MODELING_PREP_KEY")
toolkit.risk.get_value_at_risk()
Which returns:
| AMZN | TSLA | |
|---|---|---|
| 2012 | -0.0244 | -0.0343 |
| 2013 | -0.0204 | -0.0537 |
| 2014 | -0.0312 | -0.0423 |
| 2015 | -0.0208 | -0.0422 |
| 2016 | -0.0288 | -0.0394 |
| 2017 | -0.0154 | -0.0345 |
| 2018 | -0.0416 | -0.0503 |
| 2019 | -0.0232 | -0.0492 |
| 2020 | -0.0369 | -0.0741 |
| 2021 | -0.0252 | -0.0499 |
| 2022 | -0.0518 | -0.0713 |
| 2023 | -0.0271 | -0.054 |
Parameters
get_value_at_risk accepts the following parameters:
- period (str, optional): The data frequency for returns (daily, weekly, monthly, quarterly, or yearly). Defaults to “quarterly” if the Toolkit is initialised with quarterly=True, otherwise “yearly”.
- alpha (float, optional): The confidence level for VaR calculation (e.g., 0.05 for 95% confidence). Defaults to 0.05.
- within_period (bool, optional): Whether to calculate VaR within the specified period or for the entire period. Thus whether to look at the VaR within a specific year (if period = ‘yearly’) or look at the entirety of all years. Defaults to True.
- rolling (int, optional): The rolling window size to use for the calculation. If set, VaR is
calculated over a rolling window of this many periods across the full return history instead
of per
period(e.g. a rolling 60-day VaR). Only available fordistribution="historic"; seeget_var_backtestfor a rolling, out-of-sample VaR path under the parametric distributions. Defaults to None. - 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 VaR values over time. Defaults to False.
- lag (int | list[int], optional): The lag to use for the growth calculation. Defaults to 1.
- 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.
- distribution (str): The distribution to use for the VaR calculations (historic, gaussian, cf,
cornish-fisher, studentt or evt). Defaults to “historic”. Note that “cf” and “cornish-fisher”
both adjust the gaussian quantile for skewness and kurtosis, but “cornish-fisher” uses the
more standard Cornish-Fisher expansion (see
var_model.get_var_cornish_fisher), while “cf” is kept for backwards compatibility. - threshold_percentile (float, optional): Only used when
distributionis “evt”. The percentile of losses above which the Generalized Pareto Distribution is fitted. Defaults to 0.95.
Related Risk Metrics
The Risk module page introduces the module, and the sidebar lists all of its functions.