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Model and Product Interfaces

The library structures the problem of valuation of financial products with respect to several aspects:

  • asset classes (single asset models, interest rate term structure models, etc.)
  • numerical methods (Monte-Carlo, finite difference, Fourier transform, analytic formulas)
  • specific modeling assumptions

Overview

Type Model Product
Base type Model Product
Analytic valuation AnalyticModel AnalyticProduct
Monte Carlo MonteCarloSimulationModel MonteCarloProduct
Monte Carlo / Equity AssetModelMonteCarloSimulationModel AssetMonteCarloProduct
Monte Carlo / Interest Rates TermStructureMonteCarloSimulationModel TermStructureMonteCarloProduct
Monte Carlo / Interest Rates / Discrete Forward Rates LIBORMonteCarloSimulationModel TermStructureMonteCarloProduct
Fourier Transform / 1D CharacteristicFunctionModel FourierTransformProduct
Finite Difference / 1D FiniteDifference1DModel FiniteDifference1DProduct

Models

Model (interface)

  • marker interface

Monte Carlo

MonteCarloSimulationModel

  • provides getTimeDiscretization, getNumberOfPaths, getRandomVariableForConstant, getMonteCarloWeights

Equity

AssetModelMonteCarloSimulationMode extends MonteCarloSimulationModel

  • provides getNumeraire, getAsset
Implementation and Extensions

MonteCarloAssetModel implements AssetModelMonteCarloSimulationMode MonteCarloMertonModel implements AssetModelMonteCarloSimulationMode HybridAssetLIBORModelMonteCarloSimulationModel extends LIBORMonteCarloSimulationModel, AssetModelMonteCarloSimulationMode

Interest Rates

TermStructureMonteCarloSimulationModel extends MonteCarloSimulationModel

  • provides getNumeraire, getLIBOR(double, double, double)

Fourier Transform (net.finmath.fouriermethod)

CharacteristicFunctionModel

  • provides apply(double) returning a CharacteristicFunction
Implementation and Extensions
  • HestonModel implements CharacteristicFunctionModel

Example:

class HestonMonteCarloModel extends MonteCarloAssetModel implements Model<HestonModelDescriptor>

  • A HestonModel implementing AssetModelMonteCarloSimulationInterface and Model<HestonModelDescriptor>
  • The model can be used for valuation via AssetModelMonteCarloSimulationInterface. The model is build via a HestonModelDescriptor.

Products

Product (interface)

  • provides getValue(Model<?> model). Objects implementing the getValue method should provide a double-dispatch on the model argument, i.e., casting to suitable models.

Monte Carlo

AbstractMonteCarloProduct AbstractMonteCarloProduct implements ProductInterface

  • product which can be values by a MonteCarloSimulationInterface
  • manages currency, otherwise nothing
  • looks more like a marker.

Monte Carlo / Equity

AbstractAssetMonteCarloProduct AbstractAssetMonteCarloProduct extends AbstractMonteCarloProduct

  • product can be valued by a AssetModelMonteCarloSimulationInterface
  • the getValue with MonteCarloSimulationInterface performs a typecheck and routes to the above.

AssetModelMonteCarloSimulationInterface → MonteCarloSimulationInterface AbstractAssetMonteCarloProduct → AbstractMonteCarloProduct → ProductInterface

Monte Carlo / Interest Rates

TermStructureModelMonteCarloSimulationInterface → MonteCarloSimulationInterface AbstractLIBORMonteCarloProduct → AbstractMonteCarloProduct → ProductInterface

Fourier Transform

AbstractProductFourierTransform implements CharacteristicFunctionInterface

Analytic

AbstractAnalyticProduct → AnalyticProductInterface → ProductInterface

Implementations: Swaps

Swap extends AbstractAnalyticProduct implements AnalyticProductInterface (NOTE: implements is superflouus) Swap extends AbstractLIBORMonteCarloProduct

Implementations: European Equity Options:

EuropeanOption extends AbstractProductFourierTransform implements ProductInterface

EuropeanOption extends AbstractAssetMonteCarloProduct<SingleAssetEuropeanOptionProductDescriptor> implements ProductInterface

UML Diagrams (selected classes)

UML Diagrams for model and product interfaces