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Co-authored-by: jose-donato <zmcdonato@gmail.com>
Co-authored-by: jose-donato <43375532+jose-donato@users.noreply.github.com>
Co-authored-by: andrewkenreich <andrew.kenreich@gmail.com>
2023-10-30 21:01:29 +00:00

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title, description, keywords
title description keywords
herc The page provides detailed documentation for the Hierarchical Equal Risk Contribution (HERC) method in the OpenBB Terminal's portfolio optimization module. The method is used for the optimized allocation of resources in a portfolio to minimize risk. The page includes a detailed explanation of input parameters, return types, and code examples.
HERC Method
Portfolio Optimization
Risk Management
Hierarchical Equal Risk Contribution
Financial Modelling

import HeadTitle from '@site/src/components/General/HeadTitle.tsx';

Optimize with Hierarchical Equal Risk Contribution (HERC) method.

Source Code: [link]

openbb.portfolio.po.herc(portfolio_engine: portfolio_optimization.po_engine.PoEngine = None, symbols: List[str] = None, kwargs: Any)

Parameters

Name Type Description Default Optional
portfolio_engine PoEngine Portfolio optimization engine, by default None
Use portfolio.po.load to load a portfolio engine
None True
symbols List[str] List of symbols, by default None None True
interval str Interval to get data, by default '3y' None True
start_date str If not using interval, start date string (YYYY-MM-DD), by default "" None True
end_date str If not using interval, end date string (YYYY-MM-DD). If empty use last weekday, by default "" None True
log_returns bool If True use log returns, else arithmetic returns, by default False None True
freq str Frequency of returns, by default 'D'. Options: 'D' for daily, 'W' for weekly, 'M' for monthly None True
maxnan float Maximum percentage of NaNs allowed in the data, by default 0.05 None True
threshold float Value used to replace outliers that are higher than threshold, by default 0.0 None True
method str Method used to fill nan values, by default 'time'
For more information see interpolate <https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.interpolate.html>__.
None True
value float Amount to allocate to portfolio in long positions, by default 1.0 None True
objective str Objective function of the optimization model, by default 'MinRisk'
Possible values are:

- 'MinRisk': Minimize the selected risk measure.
- 'Utility': Maximize the risk averse utility function.
- 'Sharpe': Maximize the risk adjusted return ratio based on the selected risk measure.
- 'MaxRet': Maximize the expected return of the portfolio.
None True
risk_measure str The risk measure used to optimize the portfolio, by default 'MV'
If model is 'NCO', the risk measures available depends on the objective function.
Possible values are:

- 'MV': Variance.
- 'MAD': Mean Absolute Deviation.
- 'MSV': Semi Standard Deviation.
- 'FLPM': First Lower Partial Moment (Omega Ratio).
- 'SLPM': Second Lower Partial Moment (Sortino Ratio).
- 'VaR': Value at Risk.
- 'CVaR': Conditional Value at Risk.
- 'TG': Tail Gini.
- 'EVaR': Entropic Value at Risk.
- 'WR': Worst Realization (Minimax).
- 'RG': Range of returns.
- 'CVRG': CVaR range of returns.
- 'TGRG': Tail Gini range of returns.
- 'MDD': Maximum Drawdown of uncompounded cumulative returns (Calmar Ratio).
- 'ADD': Average Drawdown of uncompounded cumulative returns.
- 'DaR': Drawdown at Risk of uncompounded cumulative returns.
- 'CDaR': Conditional Drawdown at Risk of uncompounded cumulative returns.
- 'EDaR': Entropic Drawdown at Risk of uncompounded cumulative returns.
- 'UCI': Ulcer Index of uncompounded cumulative returns.
- 'MDD_Rel': Maximum Drawdown of compounded cumulative returns (Calmar Ratio).
- 'ADD_Rel': Average Drawdown of compounded cumulative returns.
- 'DaR_Rel': Drawdown at Risk of compounded cumulative returns.
- 'CDaR_Rel': Conditional Drawdown at Risk of compounded cumulative returns.
- 'EDaR_Rel': Entropic Drawdown at Risk of compounded cumulative returns.
- 'UCI_Rel': Ulcer Index of compounded cumulative returns.
None True
risk_free_rate float Risk free rate, annualized. Used for 'FLPM' and 'SLPM' and Sharpe objective function, by default 0.0 None True
risk_aversion float Risk aversion factor of the 'Utility' objective function, by default 1.0 None True
alpha float Significance level of VaR, CVaR, EDaR, DaR, CDaR, EDaR, Tail Gini of losses, by default 0.05 None True
a_sim float Number of CVaRs used to approximate Tail Gini of losses, by default 100 None True
beta float Significance level of CVaR and Tail Gini of gains. If None it duplicates alpha value, by default None None True
b_sim float Number of CVaRs used to approximate Tail Gini of gains. If None it duplicates a_sim value, by default None None True
covariance str The method used to estimate the covariance matrix, by default 'hist'
Possible values are:

- 'hist': use historical estimates.
- 'ewma1': use ewma with adjust=True. For more information see EWM <https://pandas.pydata.org/pandas-docs/stable/user_guide/window.html#exponentially-weighted-window>.
- 'ewma2': use ewma with adjust=False. For more information see EWM <https://pandas.pydata.org/pandas-docs/stable/user_guide/window.html#exponentially-weighted-window>
.
- 'ledoit': use the Ledoit and Wolf Shrinkage method.
- 'oas': use the Oracle Approximation Shrinkage method.
- 'shrunk': use the basic Shrunk Covariance method.
- 'gl': use the basic Graphical Lasso Covariance method.
- 'jlogo': use the j-LoGo Covariance method. For more information see: a-jLogo.
- 'fixed': denoise using fixed method. For more information see chapter 2 of a-MLforAM.
- 'spectral': denoise using spectral method. For more information see chapter 2 of a-MLforAM.
- 'shrink': denoise using shrink method. For more information see chapter 2 of a-MLforAM.
None True
d_ewma float The smoothing factor of ewma methods, by default 0.94 None True
codependence str The codependence or similarity matrix used to build the distance
metric and clusters. The default is 'pearson'. Possible values are:

- 'pearson': pearson correlation matrix. Distance formula:
.. math:: D_{i,j} = \sqrt{0.5(1-\rho^{pearson}{i,j})}
- 'spearman': spearman correlation matrix. Distance formula:
.. math:: D
{i,j} = \sqrt{0.5(1-\rho^{spearman}{i,j})}
- 'abs_pearson': absolute value pearson correlation matrix. Distance formula:
.. math:: D
{i,j} = \sqrt{(1-
\rho^{pearson}_{i,j} )}
- 'abs_spearman': absolute value spearman correlation matrix. Distance formula:
.. math:: D_{i,j} = \sqrt{(1-
linkage str Linkage method of hierarchical clustering. For more information see linkage <https://docs.scipy.org/doc/scipy/reference/generated/scipy.<br/>cluster.hierarchy.linkage.html?highlight=linkage#scipy.cluster.hierarchy.linkage>__.
The default is 'single'. Possible values are:

- 'single'.
- 'complete'.
- 'average'.
- 'weighted'.
- 'centroid'.
- 'median'.
- 'ward'.
- 'dbht': Direct Bubble Hierarchical Tree.
None True
k int Number of clusters. This value is took instead of the optimal number
of clusters calculated with the two difference gap statistic, by default None
None True
max_k int Max number of clusters used by the two difference gap statistic
to find the optimal number of clusters, by default 10
None True
bins_info str Number of bins used to calculate variation of information, by default 'KN'.
Possible values are:

- 'KN': Knuth's choice method. For more information see knuth_bin_width <https://docs.astropy.org/en/stable/api/astropy.stats.knuth_bin_width.html>.
- 'FD': Freedman–Diaconis' choice method. For more information see freedman_bin_width <https://docs.astropy.org/en/stable/api/astropy.stats.freedman_bin_width.html>
.
- 'SC': Scotts' choice method. For more information see scott_bin_width <https://docs.astropy.org/en/stable/api/astropy.stats.scott_bin_width.html>__.
- 'HGR': Hacine-Gharbi and Ravier' choice method.
None True
alpha_tail float Significance level for lower tail dependence index, by default 0.05 None True
leaf_order bool Indicates if the cluster are ordered so that the distance between
successive leaves is minimal, by default True
None True

Returns

Type Description
Tuple[pd.DataFrame, Dict] Tuple with weights and performance dictionary

Examples

from openbb_terminal.sdk import openbb
openbb.portfolio.po.herc(symbols=["AAPL", "MSFT", "AMZN"])
(        value
 AAPL  0.17521
 MSFT  0.19846
 AMZN  0.62633,
 {'Return': 0.16899696275924703,
  'Volatility': 0.34337400112782096,
  'Sharpe ratio': 0.49216586638525933})
from openbb_terminal.sdk import openbb
p = openbb.portfolio.po.load(symbols_file_path="~/openbb_terminal/miscellaneous/portfolio_examples/allocation/60_40_Portfolio.xlsx")
weights, performance = openbb.portfolio.po.herc(portfolio_engine=p)