Risk-Lab. Portable Monte-Carlo Simulation of MS Excel models RISK-LAB

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Portable Monte-Carlo Simulation of MS Excel models RISK-LAB mail@risk-o.com www.risk-lab.com

System overview Connectivity can run Monte-Carlo simulations of any model designed in MS Excel. It does not require the use of add-ins or macros Productivity employs a streamlined object-oriented user interface, with presentation-quality graphics and tables. All results can be easily exported. It operates with any version of MS Excel. It is possible to simulate cells containing formulas. Being a portable application, it is possible to take the software with you in a USB flash drive or cloud drive and use it on any PC connected to the web. Dependability Being a stand-alone application, is independent to the spreadsheet. Model design and analysis may be entirely conducted inside its specialized environment. Designed for decision-making can help you detect which variables have more impact on results, model past behavior of data series, fit statistical distributions for assumptions, calculate intervariable correlations, percentiles and more. implements state-of-the-art Elliptic and Archimedean copulas to generate random scenarios. Site licenses allow an institution to provide access to a whole community in one simple step. No individual PC installations are needed.

Program interface Welcome to a better user experience Projects and models are configured and analyzed from s specialized interface outside the spreadsheet. transparently communicates with MS Excel spreadsheets to automatically introduce simulated scenarios and retrieve results at high speed. Say goodbye to spreadsheet chaos. The structure and results of your models will be always available and neatly presented inside.

Model simulation Remote spreadsheet operation Input variables connects to the spreadsheet operates it remotely. While the simulation is running, injects the simulated values into the designated input cells, recalculates formulas and extracts resulting values from the output cells. Resulting values 2

Assumptions Statistical distributions allows you to associate your assumptions to more than 2 different probability distributions, both continuous and discrete. Distributions can be manually or automatically parameterized, if observed data is available. Inter-variable correlations can also be automatically estimated by the program.

2.5-3 -2.5.5 2-2 -.5 2.6.5 - -.5.8 -.5.2 -.5 -.5 -.6 -.4-2.5-2.5-2.2-3 -3 2 2.5 3 Scenario generation Mutivariate copulas employs advanced Elliptical and Archimedean copulas to generate random scenarios from multi-variate hybrid distributions. Correlations are user-definable. Using a random seed, a simulation process may be executed multiple times obtaining the same results. -3-2.5-2 -.5 - -.5.5.5 2 2.5 3 Bivariate copulas with low and high inter-variable correlation Density of bivariate distributions with different correlation levels 3 2.5 2.5 3 2.5 2.5 3 2.5 2.5 3 2.5 2.5.5.5.5.5 -.5 -.5 -.5 -.5 - - - - -.5 -.5 -.5 -.5-2 -2-2 -2-2.5 + -3-2.5-2.5-2.5-3 -3-3 -3-2.5-2 -.5 - -.5.5.5 2 2.5 3-3 -2.5-2 -.5 - -.5.5.5 2 2.5 3-3 -2.5-2 -.5 - -.5.5.5 2 2.5 3-3 -2.5-2 -.5 - -.5.5.5 2 2.5 3

Unprocessed data reporting Simulation results presents detailed results for Monte- Carlo simulations. These raw results include: Correlated (final) random scenarios Non-correlated (initial) scenarios Cholesky decomposition Adjusted Cholesky decomposition Pearson correlations Kendall s Tau observed correlations Kendall s Tau resulting correlations Values of MS Excel result cells

Results analysis Output distributions Simulation results are summarized using histograms. Descriptive statistics for each variable are also displayed, including minimum, maximum, mean, variance, skewness, kurtosis, percentiles, and the probability of being negative.

Results analysis Stress scenarios As part of the stress-testing phase, the system automatically evaluates extreme scenarios for each of the input variables and calculates their impact on result variables.

Results analysis Input/output elasticities Elasticities show the proportional impact that a % variation in input variables produces on output variables. presents a ranking of all elasticities related to a selected output variable, allowing a quick identification of the key instruments that may alter results.

Results analysis Multivariate regression Mutivariate regression analysis makes it possible to indentify the marginal impact of each input variable on outputs once the effect of all the rest of variables is simultaneously considered. also presents indicators that help to assess the statistical relevance of individual impacts. Employing easy-to-read flags, the program classifies variables according to their statistical significance.

Main applications Finance Capital budgeting Derivatives valuation Corporate valuation Value-at-Risk calculation Operations Critical route analysis in project management Six Sigma evaluation Decision-tree analysis Marketing Sensitivity analysis of sales forecasts

Contact information By email By phone mail@risk-o.com +-8-573-7475 +-8-573-RISK is a registered trademark of RISKO www.risk-o.com