Introduction to Financial Modeling with @RISK: A Training CD
Monte Carlo Simulation for Your Spreadsheet!
@RISK is the Risk Analysis and Simulation add-in for Microsoft Excel®. As an add-in, @RISK becomes seamlessly integrated - via a new toolbar and functions - with your spreadsheet, adding Risk Analysis to your existing models. If you can use a spreadsheet, you can use @RISK!
@RISK uses a technique known as Monte Carlo simulation to allow you to take all possible outcomes into account. Simply replace uncertain values in your spreadsheet model with @RISK functions to represent a range of possible values. Select bottom-line cells, like Total Profits, as outputs, and start a simulation. @RISK recalculates your spreadsheet hundreds or even thousands of times, each time selecting random numbers from the @RISK functions you entered. The result: distributions of possible outcomes and the probabilities of getting those results! This not only tells you what could happen in a given situation, but how likely it is that it will happen. With @RISK, you can answer questions like "What are the chances of getting a negative result?" or "What is the probability of earning profits over $500,000?"
@RISK 4.5 for Excel comes in three editions - Standard, Professional, and Industrial - to allow you to select the feature set which best meets your needs.
Risk Analysis
Risk Analysis, in a broad sense, is any method - qualitative and/or quantitative -
for assessing the impacts of risk on decisions. Myriad Risk Analysis methods are
used that blend both qualitative and quantitative techniques. The goal of any of
these methods is to help the decision-maker choose a course of action, given a better
understanding of the possible outcomes that could occur. You might wonder if what
you do would be suitable for Risk Analysis. If you use data to solve problems, make
forecasts, develop strategies, or make decisions, then you definitely should consider
performing Risk Analysis.
 @RISK lets you see all possible outcomes! |
Risk Analysis with @RISK
Risk Analysis in @RISK is a quantitative method that seeks to determine the outcomes
of a decision as a probability distribution. In general, Risk Analysis with @RISK
encompasses four steps:
1. Develop a Model - First, define your problem or situation in an Excel worksheet format.
Step 1: Develop a Model
The first step is constructing a model in your spreadsheet that represents your situation.
Because you are working in a spreadsheet, you are virtually unlimited in what you
can model. You might be launching a new product and want to see the potential profits,
or you might want to see the potential pollution effects a new factory might have
on a river. Perhaps you work in pharmaceuticals and need to analyse the effectiveness
of a new drug therapy on an illness, or you are an oil executive looking to determine
whether or not to drill at a new site. Whatever your situation, @RISK can help!
Step 2: Define the Uncertainty Using the @RISK Model and Define
Distribution Windows
Next you need to represent uncertainty in your spreadsheet model. You probably base
most decisions on whatever data you have on hand - historical costs, competitors' prices,
vendor estimates, etc. But how often do you have full, complete information? Prices
change, demand fluctuates, costs rise. By using probability distribution functions
to represent a range of possible values, @RISK lets you take that uncertainty into
account. Simply select a cell whose value you are unsure of and replace its value with
one of the 37 @RISK probability distributions below:
| Beta | Exponential | Log-Logistic | Poisson |
| Beta General | Extreme Value/Gumbel | Lognormal | Rayleigh |
| Beta-Subjective | Gamma | Lognormal2 | Student's t |
| Binomial | General | Negative Binomial | Triangular |
| Chi-Square | Geometric | Normal | Triangular General |
| Cumulative | Histogram | Pareto | Uniform |
| Discrete | Hypergeometric | Pareto 2 | Weibull |
| Discrete Uniform | Int Uniform | Pearson V | |
| Error Function | Inverse Gaussian/Wald | Pearson VI | |
| Erlang | Logistic | PERT |
 The @RISK model window lets you define your model graphically! |
For example, if you have a cost estimate with a most likely value of $10,000, but you know it can't go below $7,000 or higher than $15,000, you can represent that uncertainty with a Triangular distribution using the function RiskTriang(7000, 10000, 15000). All @RISK functions become true Excel functions that may be used in other function arguments or support cell references. This gives you maximum flexibility in defining your models.
@RISK 4.5 for Excel makes entering your probability functions easy. Simply type them in like you would any Excel function, use the Excel Paste Function tool, or use the @RISK Define Distribution Window to enter your probability distributions graphically (see below for details). @RISK 4.5 also features a Function Wizard that tells you exactly what arguments each @RISK function requires. Once you've entered your distribution functions, select the bottom-line cell or cells whose values you are interested in (such as Total Profit) and click the Add Output button in the @RISK toolbar. This adds a RiskOutput function to the chosen cell, allowing you to name, move, and manage your outputs easily.
Open the @RISK Model Window to see a clear, Explorer-style
list of your inputs and outputs at a glance. You can also perform distribution fitting,
correlate inputs, and open a Define Distribution Window from the @RISK Model Window.
 RISKview pops up right over your spreadsheet model! |
Visualise Your Uncertainty with RISKview™
@RISK 4.5 allows complete graphical selection of your probability distribution functions
using RISKview, Palisade's
distribution previewing companion. Now entering your distributions is easier than
ever because you can see them, edit them, and apply them with a few clicks of the
mouse. RISKview comes fully integrated with every copy of @RISK 4.5 for Excel, and
appears as a convenient pop-up Define Distribution Window right over your spreadsheet.
You can view graphs, parameters, and statistics of any @RISK distribution. All graphs
include adjustable delimiters and probability bars for viewing calculated probabilities
and other statistics directly on graphs. Simply slide the delimiter on a graph to
see calculated probabilities both on the graph and in the linked statistical report.
RISKview even lets you overlay graphs of different distributions for comparison,
change parameters, and draw your own curves! When you draw your own curves using
RISKview's Distribution Artist, RISKview can find the standard probability distribution
which best fits that curve. RISKview can also directly link to any distribution in
your spreadsheet model for instant updating. Defining your uncertainty couldn't be
more intuitive!
To further speed up the process of defining uncertainty, RISKview features a Distribution Palette of thumbnail sketches of all available distribution types. Just click the thumbnail of the distribution you want. And, you are not restricted to using standard parameters when defining your distribution functions. @RISK lets you enter in percentile parameters. For example, if you know oil field reserves are typically represented by a lognormal curve, and you know the 10th and 90th percentile values the reserves could take, you can use that information to set up your @RISK model.
Fit Distributions to Data with BestFit®
There may be times when you have historical data on a particular input in your model.
For example, you may have price data on the material costs of a product you are going
to produce. You would like to use this data to represent uncertainty in your model,
but how? With BestFit, Palisade's
distribution fitting tool, it's easy! BestFit is fully integrated with the Professional
and Industrial versions of @RISK 4.5 for Excel. Just read your data into the @RISK
Model Window, and click the Fit button. BestFit will find the distribution which
best describes your data. A handy right-click command writes the newfound distribution
to your spreadsheet cell. You can also link your fit to the resulting @RISK functions.
If the underlying data changes, the fit automatically re-runs and updates the distribution
in your model!
 BestFit 4.5 gives you multiple graphing options and full statistics for your fits. |
BestFit ranks dozens of distribution functions against your data, and provides comprehensive results. Four types of graphs are available to assess accuracy of the fit, and there are complete statistical reports and goodness-of-fit data. Choose from Comparison, Difference, Probability-Probability, or Quantile-Quantile graphs. Like RISKview, BestFit includes sliding delimiters and probability bars on all graphs. Graph types can be easily formatted be using toolbar icons or right-click menus, and may be exported to Excel in native Excel format for further modification.
But it doesn't stop there. BestFit has a host of advanced features for the power user.
BestFit uses three advanced fitting algorithms to optimise its fits - Chi Square, Anderson-Darling,
and Komolgorov-Smirnov. You can read in data sets with up to 100,000 points, in sample,
density, or cumulative format. You can fit multiple data sets in a single project,
and specify which predefined distributions to fit to. BestFit allows full control over
Chi-squared calculations, including equal interval binning, equal probability binning,
and full custom binning. It will also perform the RMS (root mean square error) test
for cumulative and density data.
Step 3: Simulate and View All Possible Outcomes!
Once your model is set up, click the Simulation Settings button if you want to customise
the parameters of your simulation. You can specify the number of iterations (times
@RISK recalculates the spreadsheet model), update the spreadsheet in real-time numerically
or graphically as @RISK is simulating, control the convergence criteria, and choose
Monte Carlo or Latin Hypercube sampling. This gives you complete control over your
simulations. Or, use the default settings and @RISK will automate everything for you.
Then click the Simulate button and watch!
@RISK recalculates your spreadsheet hundreds or thousands of times! Each time, @RISK selects random numbers from the @RISK functions you entered and records the resulting output. Each recalculation shows a possible combination of uncertain values or a "scenario" that could occur. At the end of the simulation, you have a whole range of possible outcomes, and the probabilities of them occurring! Your spreadsheet has gone from representing one possible scenario to representing all possible scenarios! Try doing that with Excel alone.
Analyse Your Results in the @RISK Results Window
When your simulation is complete, all the results appear instantly in the @RISK
Results Window. The Results Window, like the Model Window, features an Explorer
style list of inputs and tabbed reports. Extensive graphing options, comprehensive
statistics, full data, and advanced analyses like Sensitivity and Scenario analyses
are available with the click of a button.
 The @RISK Report Window gives you countless graphing and reporting options! |
Dazzling Graphs
One of the strengths of Monte Carlo simulation is that it produces enough data to create
accurate graphs. Histograms, cumulative curves, area and line graphs, and more are
available in @RISK 4.5. As in the Model Window, graphs are created with simple toolbar
clicks or right-click menus. Select the type of graph, then customise it by selecting
colours, changing scaling, creating new titles and axis labels, and more! Do you
have a range of outputs you'd like to graph? Simply highlight the range in the Explorer
list and select Summary Graph to see your risk over time. You can even overlay multiple
variables on the same graph for comparison. All graphs may also be displayed in Excel
format for further enhancement. These Excel format graphs recreate any @RISK graph
in native Excel chart format, giving you access to all of Excel's charting capabilities.
@RISK's various graphing options allow you to quickly and easily present possible
outcomes for any situation to others!
The @RISK Results Window gives you countless
graphing and reporting options!
All graphs include summary statistics in the same window for easy reference. They also include probability bars and sliding delimiters, so you can answer questions like "What are the chances of losing money on this venture?" simply by sliding a bar to the $0 mark on your cumulative curve and reading the probability result below.
@RISK can also create a summary report of results using the Quick Report command. With a single click @RISK will generate a one-page, preformatted report in Excel containing a histogram, cumulative curve, Tornado graph, and summary statistics - all set up and ready to print! This saves valuable time by doing the formatting for you.
Want to see how your graph changes as the simulation runs? @RISK 4.5 will display and update any graph in real-time while your simulation is running. You can start, stop, and control the frequency of updates.
Identify Critical Factors with Sensitivity and Scenario Analyses
@RISK performs two additional analyses that identify your risk factors: Sensitivity
Analysis and Scenario Analysis, both accessible by clicking their tabs in the Results
Window. Sensitivity Analysis determines which input distributions have the biggest
impact on the outputs. The results can be displayed as an easy-to-interpret Tornado
chart, with longer bars at the top representing the most significant input variables.
You can choose from Rank-Order Correlation or Multi-variate Stepwise Regression to
perform Sensitivity Analysis. Sensitivity Analysis allows you to zero in on the factors
in your model which contribute the most to your risk!
Scenario Analysis identifies combinations of inputs - or scenarios - which lead to
output target values. This lets you make such crucial observations as "When profit
is high, operating cost is low, sales price is high, and cost of market entry is low."
Accurate Statistics and Data
Click the Detailed Statistics button to see statistics for all outputs displayed in
a spreadsheet-like format for easy viewing. All the complete statistics you would
expect are here. You can also enter target values and find the likelihood of achieving
them, similar to using the sliding delimiters on the graphs. Another click and you
can see all data for inputs and outputs for every iteration of the simulation. You
can cut and paste data and statistics to other applications, or have @RISK generate
a full statistical or data report in your spreadsheet for further analysis. @RISK
allows full access to the information of your simulation!
Customisable Reports
The best analysis always has to be presented to others. To help with this, @RISK provides
extensive capabilities for reporting on both your model and simulation results. To
start, any @RISK graph or report can be pasted into Excel or other applications.
In addition, @RISK 4.5 comes with a report generator that will quickly create a report
with graphs and statistics on your simulation. Lastly, @RISK 4.5's report template
feature allows you to build custom reports in Excel that contain just the statistics
and graphs you want, plus any custom formatting, logos, and more. Your template will
be used to create a polished report from each simulation you run.
Step 4: Make a Decision
Using @RISK's comprehensive results and your own personal thresholds for risk, you
are now ready to make a well-informed decision. By accounting for all possible outcomes,
@RISK gives you the tools to make the best possible decision in any situation!
Advanced Features Make @RISK a True Powerhouse
@RISK comes with a number of advanced features that make it the only choice for top
decision-makers world wide.
Multiple Simulations
@RISK features the RiskSimTable function, which allows multiple
simulations to be run back-to-back. This lets you change only select inputs in your
model from simulation to simulation, so you can compare the effect of a variable or
variables on your outcome. For example, you may with to see what impact charging different
prices has on your profits. You can even graph the results from multiple simulations
on one chart!
 Correlate your inputs in the @RISK Model Window. |
Correlate Your Inputs for More Accurate Models
In real life, inputs are seldom independent. When interest rates are high, mortgages
are low, for example. If you don't take these relationships into account when building
your model, you risk dangerously inaccurate results. The @RISK Model Window provides
an easy way to correlate inputs in your model using a simple matrix format. Click
a button to get a blank matrix, then drag inputs onto it from the Explorer list.
Enter in correlation coefficients, click Apply, and the correlations are automatically
written to your spreadsheet model.
Statistics and Graphing Functions
@RISK 4.5 for Excel adds a set of statistics functions that return a desired statistic
on simulation results anywhere in your spreadsheet. These functions include all standard
statistics plus percentiles and target probabilities, and can be used just like any
other Excel or @RISK function. You can watch the statistics update real-time as the
simulation runs, as well!
The statistics described by these functions are:
| Kurtosis | Min | Range | Target Value |
| Max | Mode | Skewness | Variance |
| Mean | Percentile | Standard Deviation |
|
@RISK 4.5 also includes a powerful graph placement function that places any graph
of simulation results directly in your spreadsheet. Place this new RiskResultsGraph function
anywhere in your spreadsheet and automatically, after a simulation, the desired graph
will be appear directly in Excel. As with all @RISK graphs, you can choose to generate
a graph in metafile or standard Excel chart format.
Enhanced VBA Support for Custom Applications
@RISK 4.5 lets you write your own custom applications in Excel that can perform virtually
any @RISK function. Harness the power of @RISK's Monte Carlo simulation engine for
your company's specific needs. Utilise @RISK's extensive reporting options, Sensitivity
analysis, Scenario analysis, distribution fitting, and more, all in your own custom
Excel programme! Example files are included demonstrating how to use these commands.
Plus, you can run macros before, during, or after a simulation run. Click
here for more information about @RISK VBA macro functions.
@RISK Professional
@RISK 4.5 is available in three editions to meet your risk analysis needs: Standard,
Professional, and Industrial. @RISK Professional adds a host of analytical power
features to your arsenal.
Integrated BestFit
Fit distributions to your data. See above.
@RISK Goal Seek
@RISK Goal Seek lets you find the value of an input that leads to a desired simulation
result. You set the target value or the goal - say, a simulated mean of $1000 - and
then tell Goal Seek which input to adjust in order to achieve your goal. Goal Seek
will then use multiple simulations - not deterministic spreadsheet recalculations
like Excel's Goal Seek - to find the input value that achieves the goal. This lets
you take all possible outcomes into account when determining input values that achieve
your goals!
Stress Analysis
@RISK lets you control the range that is sampled within an input distribution; that
is, you can stress the distributions. By specifying extreme ranges of a give input,
you can see how different situations would affect your bottom line. Instantly test
various scenarios without changing your model! Results include Box-Whisker plots,
comparison graphs, cumulative charts and histograms.
 See the effects of multiple inputs with Advanced Sensitivity Analysis. |
Advanced Sensitivity Analysis
@RISK 4.5 lets you see how changes in input values affect your simulated results. With
Advanced Sensitivity Analysis, inputs can be any value or distribution in your model.
Using a wide variety of options, you can control how these inputs are varied. @RISK
then runs any number of simulations (hundreds or thousands if necessary!) - one at
each possible input value - and tracks how your output statistics change. Results
graphs include Box-Whisker plots, Spider graphs, cumulative curves, line graphs and
Tornado charts to show you the critical factors in your model.
@RISK Industrial
@RISK 4.5 Industrial is well-suited to the power risk analyst. @RISK Industrial builds
upon @RISK Professional by adding:
RISKOptimizer to Optimise Your Simulation Results
@RISK 4.5 Industrial for Excel comes with RISKOptimizer,
the simulation optimisation add-in for Excel. RISKOptimizer is an innovative tool which
allows you to optimise the results of an @RISK simulation, finding the best combination
of inputs to maximise or minimise your bottom line.
@RISK alone uses Monte Carlo simulation to account for uncertainty in models and view the probabilities of various outcomes occurring. But Monte Carlo simulation cannot deal with input or decision variables whose values you can control. It views all possible outcomes at a single state of those controllable variables.
 RISKOptimizer combines simulation with optimisation to solve the most complex problems. |
RISKOptimizer changes all that. With RISKOptimizer, many different combinations of controllable inputs (called adjustable cells) are tried in order to maximise or minimise your output. This process of trying different inputs is called optimisation. But unlike other optimisers, RISKOptimizer performs Monte Carlo simulation while it is optimising, allowing uncertainty to be taken into account. For each different combination of inputs - or trial solution - RISKOptimizer runs a Monte Carlo simulation. In this way, RISKOptimizer looks at all possible outcomes in many different states. This is an extremely powerful technique that can solve problems not previously solvable by traditional linear or nonlinear optimisation packages.
For example, say you run an @RISK simulation on a potential product launch to see the range of possible outcomes for profit. But your model is based on using specific vendors to supply the raw materials for your product. There may be other vendors who can offer cheaper materials, quicker turnaround, or more attractive shipping. With @RISK alone, you could run multiple simulations for different vendors, but did you try every possible combination of inputs? RISKOptimizer will try many different combinations until it maximises the simulation results for profit.
RISKOptimizer uses the same genetic-algorithm based optimisation engine as Evolver. With genetic algorithms, favorable trial solutions are combined to produce more and more effective "offspring" solutions. "Mutations," or randomly generated new trial solutions, occur to make sure that all possible solutions are explored. In this way, RISKOptimizer achieves true "global," or overall, solutions and avoids settling on a less effective "local" solution as many traditional hill-climbing optimisers do.
@RISKAccelerator for Your Largest Simulations
Speed up large simulations by using all CPUs in a multi-CPU machine. If your PC has
two processors, your simulations will run nearly twice as fast! With integrated @RISKAccelerator,
@RISK Industrial lets you take full advantage of the additional processing speed
available with increasingly popular multi-processor machines. Using innovative parallel-processing
technology, @RISKAccelerator
"splits up" a simulation for available CPUs to work on simultaneously.
@RISKAccelerator is invaluable for users with large, complex models or users who run simulations frequently. For example, in the securities industry, the risk and return of portfolios comprised of thousands of stocks - each with a different possible future price path - are often calculated using Monte Carlo simulation. This is a lengthy simulation that is constantly re-run as market conditions, current prices, and portfolio components change.
Also available separately, @RISKAccelerator can be configured to utilise available CPUs over a network.
Choose the @RISK Edition to Suit Your Needs!
|
|
||||||||||||||||||||
Become an @RISK Wizard!
@RISK comes with a wide variety of resources to help you get started and overcome problems.
A comprehensive audio/visual tutorial walks you through the features of @RISK and
demonstrates how to set up and run a model, step-by-step. The @RISK manual is written
in straightforward, plain English and even provides background information on Risk
Analysis. The entire manual is also available electronically in @RISK's Help menu.
@RISK features a comprehensive, context-sensitive Help file to zero in your question.
You can search on a particular topic, or simply ask a plain English question using
the "How Do I..."
feature! Finally, example files are provided that can be used as templates for building
your own model.
Palisade also offers a multimedia training CD-ROM by author Wayne Winston. Introduction to Financial Modeling with @RISK features Wayne Winston walking you through a range of financial models step-by-step. It's like having your own personal tutor!
If you would like further resources, Palisade carries a number of books on how to
get the most from @RISK (see below). Financial Models Using Simulation and Optimization
I and II and Simulation Modeling Using @RISK, both by Wayne Winston, are among the
most popular. We also offer Software Training Seminars on @RISK throughout North America
and Europe. These seminars provide hands-on training on how to use @RISK, and teach
valuable model-building techniques. Call or visit our web site at www.palisade.com.au
for more details and the latest schedule. In addition, Palisade offers on-site training
services, customisable to meet your organisation's needs.
@RISK 4.5 Features
| True Spreadsheet Add-In | Full Data Report | Tornado Graphs |
| Toolbars for Most Commands | Reporting in Excel | Scenario Analysis |
| Office-style Interface | Target Values | Statistics Functions |
| @RISK Model Window | Histogram, Area, Line, and Cumulative Graphs | Macros - Execute During Simulation |
| 37 Distribution Functions | Fully Customisable Graphs | Macros - Customise with VBA |
| Fully Integrated RISKview | Summary Graphs | @RISK Goal Seek (Pro and Industrial only) |
| Fully Integrated BestFit (Professional and Industrial versions only) | Multiple Summary and Overlay Graphs | Stress Analysis (Pro and Industrial only) |
| Distribution Palette | Sliding Delimiters on all Graphs | Advanced Sensitivity Analysis (Pro and Industrial) |
| Alternate (Percentile) Distribution Parameters | Real-time Updating of Graphs | Comprehensive Help File and Tutorial |
| Correlation of Inputs | Graph in Excel | Integrated RISKOptimizer (Industrial only) |
| Customisable Simulation Settings | One-step Quick Reports | Integrated @RISKAccelerator (Industrial only) |
| Convergence Monitoring | Multiple Simulations | Fully Integrated With DecisionTools Suite: @RISK, BestFit, TopRank, PrecisionTree, and RISKview |
| Full Statistics Report | Sensitivity Analysis - Multivariate Stepwise Regression and Rank Order Correlation |
Add @RISK To Your Custom Applications with the @RISK Developers
Kit (RDK)!
The @RISK Developers Kit (RDK) 4.0 can be used to create custom applications that include
the Risk Analysis capabilities of @RISK as well as the distribution fitting features
of BestFit. All the great features of @RISK - the Monte Carlo simulation engine, graphs,
reports, even the interface - is at your disposal. Applications include financial modelling
tools, corporate financial systems, energy/utility simulators, and much more. These
applications may be run in desktop, network, or web environment. All users need to
run your web RDK models is an internet connection and a web browser. An ActiveX/COM
interface adds an intuitive set of methods and properties to allow you to quickly set
up a simulation model in your application. For more information
and on-line sample applications, click here.
Use @RISK with the DecisionTools® Suite
@RISK was designed to work with our other DecisionTools
Suite products - TopRank®, RISKview, BestFit and PrecisionTree®.
Start by using TopRank, the What-If Analysis add-in for Excel or Lotus 1-2-3 for Windows,
to identify the critical values in your model. Next, in @RISK, replace those values
with @RISK probability distribution functions. Use RISKview to preview these distributions
or create one by simply drawing it and placing it directly in @RISK. Take real-world
data and use BestFit to find the distribution which best fits your data, and use that
function in @RISK to realistically represent uncertainty. Then run a thorough Monte
Carlo simulation and analyse the results! Create a decision tree with PrecisionTree
to accurately describe a decision, and use @RISK to perform a Monte Carlo simulation
on your decision tree! With the DecisionTools Suite, you will be prepared to face the
risks in any situation!
가격에는 부가세를 제외한 1년간의 Maintenance를 비롯한 모든 제반 비용이 포함되어 있습니다. 보다 자세한 것은 반품 및 환불에 관한 규정 과 배송 방법 및 기간 를 참고 바랍니다.
For UPGRADES to the current version of @RISK, click here.
|
||||||||||||||||||||||||||||||||||
Software Recommendations
Minimum
Platform: IBM PC compatible Pentium-equivalent or higher, 16MB RAM, Windows
98, NT 4.0, Windows 2000, Windows XP
Recommended
Platform: 32 MB RAM, or greater
Spreadsheet: Windows
Excel 97 or higher
Technical
Support: Available through maintenance plan
Other
Versions Available: @RISK Developer's
Kit, @RISKAccelerator, @RISK
for Microsoft Project
Demo: Web
download and free demo CD with trial version
available.
Training: Available
through Palisade's Software Training Courses.
Recommended
Books: Financial Models Using Simulation
and Optimization I and II; Simulation
Modeling Using @RISK; Risk Analysis:
A Quantitative Guide; Simulation Modeling & Analysis; Practical
Management Science; Decisions Involving
Uncertainty: An @RISK Guide for the Petroleum Industry; Statistical
Distributions; Business Modelling
and Simulation; and more!
Also
Available: Introduction to Financial
Modeling with @RISK: A Training CD by Wayne Winston
Other
Licensing Options: Corporate
Licenses, Network Licenses, and Academic Licenses are
available. Contact our Sales Department for details (see contact information below),
or click here for more information about Corporate
Licenses.