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Accelerating the pace of engineering and science

# Computational Finance

## Monte Carlo Simulation

MathWorks tools let you use Monte Carlo methods to model and simulate complex financial systems and analyze how uncertainty influences them much faster than using spreadsheets or traditional programming languages such as C++ or Visual Basic.

### Build and Evaluate Stochastic Models

You can develop models that capture detailed information about unlikely or worst-case scenarios or obtain approximate solutions to problem that are otherwise intractable or time-consuming to analyze with traditional analytical techniques. Supported capabilities include a wide range of random and quasi-random number generators, parallel computing enabled random number generators, Markov Chain Monte Carlo simulation, and simulation of stochastic differential equations. Financial engineers and actuarial scientists use these capabilities for:

• Incorporating uncertainty into existing models
• Modeling interest rates
• Pricing and valuation of stocks, bonds, options, and derivatives
• Quantifying operational, market, or credit risk
• Valuing financial projects, structured products, and real options
• Assessing insurance and re-insurance risks and value
• Evaluating financial plans and perform what-if studies

### Quantify and Manage Risk

The breadth and depth of functionality available in MATLAB and related products simplifies the development of Monte Carlo–driven risk metrics used for quantifying credit risk, market risk, liquidity risk, investment risk, or operational risk. You can evaluate risk using standard methods such as value at risk (VaR) and extreme value theory (EVT), or develop customized risk measurement and management metrics for individual and firm-wide activities.

### Accelerate Monte Carlo Simulations Using Parallel Computing

Monte Carlo simulations are often complex and computationally intensive. MathWorks parallel computing tools reduce simulation times to a fraction of what they would be on a single computational processor. By using additional hardware, you can distribute your Monte Carlo simulations across multiple processors with little modification to your algorithms or code.

### Banche Poplari Unite

"The numerical computation and visualization capabilities of MATLAB are incredible! We can implement up to 100,000 simulations to hundreds of thousands of positions and relative aggregations quickly."