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Hodrick-Prescott Filter: filtering of a trend and a cyclical components with econometric methods. 
Trade Profile: analyzing the impact of trading from a current portfolio on portfolio return, volatility and risk-adjusted performanceo. 
Incremental Volatility and Sharpe Ratio: calculation of the incremental contribution of assets to portfolio volatility and risk-adjusted performance. 
Surplus Optimization: restricted mean variance optimization considering liabilities.
Equal-Volatility-Contribution Portfolio: construction of the risk parity (equal volatility contribution) portfolio; robust and exact versions. 
Implied Correlation: calculating the implied correlation given asset weights, asset volatilities and portfolio volatility. The constant correlation matric based on the impled correlation. 
Moving Average Convergence Divergence (MACD): A classical technical indicator. 
Most Diversified Portfolio: deriving the weights of the Most Diversified Portfolio, comparsion with other risk-based strategies. 
Average Correlations, Dispersion of Correlations: calculation of average correlation and dispersion of correlation coefficients from time series data directly.
Wealth Simulation - stochastic cash flow planning, Monte Carlo simulations useful for asset and liability management.
Contributions to Portfolio Skewness, Kurtosis and Correlation - analysis of ex ante asset contributions to advanced portfolio risk characteristics.
CPPI Strategy - simulation of a basic constant proportion portfolio insurance strategy.
Resizing array formulas - automatically resizing array formulas so that all outputs are shown, de facto making CTRL+SHIFT+ENTER obsolete.
Diversification ratio - simplistic portfolio optimizer to construct portfolios with maximum. diversification, equal risk contribution (risk parity) and other criteria.
Copula fitting - estimation of bivariate copula parameters from data.
Ichimoku chart - graphical chart analysis.
Loss analysis - various descriptive functions to analyze empirical loss data.
Generalized Pareto Distribution - cdf, pdf, inv, rnd, sim and maximum-likelihood estimation. Exceedance Correlation, Empirical Lower Dependence - Measuring bivariate tail dependence.
Tail Risk Attribution - Attributing Modified VaR components
Conditional Returns - Bull/bear returns, upper/lower returns, up/down returns
Scores - The z-score and modified z-score
OLS - Flexible functions implementing linear regression.
Chow Test - Testing for structural breaks in linear regression models
Resampling - Resampling time series with the option to preserve autocorrelation structures
The Normal Mixture Distribution - Implementation of a flexible and intuitive distribution to model non-normalities.
The Logicistic distribution - implementation of an important non-normal distribution.
Risk-Adjusted Performance Measures - From Sharpe to the Generalized Rachev Ratio.
Value-At-Risk & Conditional Value-At-Risk - Different approaches to quantifying quantile losses: Normal, NIG, Modified and Historical VaR; plus Interim VaR and Drawdown-At-Risk.
Drawdowns/ Run-ups, Winning/Losing Runs - Various functions related to path-dependent interm risk measures, including the calculation of expected maximum drawdown for a GBM.
Normal Inverse Gaussian (NIG) Simulation - Simulation and evaluation of the "plug-and-play" four-moment NIG distribution.
Style Analysis - Constituent weights that best replicate a given portfolio; calculated average weights as well as rolling style weights (including turnover). 
Time Series Analysis - Serial dependence, tests for normal distributions and more.
Copula Simulation - Generating variables drawn from the Gaussian, Clayton Independent and Symetrized Joe-Clayton copulae.
Exponentially-Weighted Risk Measures - Measurement of time-varying risk characteristics à la RiskMetrics (tm).
Statistical Factor Model - Calculation of a PCA-based statistical facor model targeting the correlation or covariance matrix. 
Bivariate Gaussian Outliers - Detection of univariate and bivariate outliers, drawing of 2D confidence region.
Factor Model Calculations - Building asset returns, volatilities and covariances based on the inputs from a factor model.
GARCH(1,1) - Maximum likelihood parameter estimation, conditional and unconditional GARCH volatilities.
Contributions to Ex Ante Volatility, Normal VaR & CVaR, Modified VaR & CVaR - Marginal, component and percentage contributions to Volatility, Normal VaR/CVaR as well as Modified VaR/CVaR. A contribution to "non-normality" can be derived.
Classical Mean-Variance Optimization - Restricted/unrestricted efficient frontiers, weights of frontier portfolios, minimum variance portfolio weights
Triangular Distribution - A flexible unimodel distribution defined by a min, max and modus. Very convenient for stress testing and simulations without much prior information.
Risk & return characteristics replication - Generates asset returns which exactly replicate given expected returns, volatilities and correlatio
Bayesian Shrinkage Estimators - Alternatives to estimating expected returns and covariances (James/Stein, Ledoit/Wolf, Jorion estimators).
Hurst Exponent - A summary measure indicating whether a time series exhibits mean reversion or momentum, or is a random walk
Quantile Table - 2D quantiles, useful for visualizing dependence between two two time series
Portfolio Attribute Linking - Chain-link absolute (constituentreturn contributions) and relative (attribution effects) attributes over time
Augmend Dickey-Fuller Test - Unit root test, for example when conducting the Engle/Granger test for cointegration
Extreme Value Theory - Estimation of Tail Index (Least Squares Hill estimator) and EVT Value-At-Risk .
Waterfall Charts - Generates input data necessary to plot a waterfall chart in Excel
The Resampled Efficient Frontier - Calculation of the resampled frontier, constituent weights of portfolios on the frontier
Consolidation of portfolio/benchmark segment data - utility function for the flexible calculation of performance attribution effects
Time Aggregation of returns - coversion of time series to time series with a lower frequency; can be used to examine the validity of the "square root n" rule for the time aggregation of volatilities.
Time Series Utilities - Various utility functions related to handeling return time series in an efficient manner.
Nielson/Siegel/Svensson Yield Curve Modelling - Estimating the parameters of the extended Nielson/Siegel model from empirical yields.
Contributions to Ex Ante Tracking Error - Contributions to ex ante TE when asset returns in portfolio and benchmark are equal and when they are different. In case case of differing, a TE decomposition into contribution from allocation, selection and interaction is performed.
Money-Weighted & Time-Weighted Returns - Consistent functions for calculating the internal rate of return (IRR), also known as MWR, as well as Orignal Dietz and Modified Dietz Returns.. (forthcoming).
External CSV Time Series Data Management - Working with time series data stored in external CSV files. You also need to download the sample CSV file.
Using the ApaLibNET in VBA - Integrating the functionality with VBA code.
Stressing a Valid Correlation Matrix - lower and upper bounds for elements in a valid correlation matrix, testing whether a given correlation matrix is valid. 