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/*****************************************************************
Author: Neville Andrade
Date: 3 Dec 2012
Description: (Factory Method Pattern)
This exercise has to do
with section 9.8.1 of the MC Book (and in particular Figure 9.9)
where we model a class hierarchy for interest rate models
as well as factory classes for instantiation.
To this end, we direct you to Exercise 3 in section 9.10. There we
describe the exercise in full.
Here we need to implement the prototype pattern.
******************************************************************/
// TestIrSde.cpp
//
// Testing 1-factor IR SDEs
//
// 2008-3-28 DD kick off
//
// (C) Datasim Education BV 2008
#include "UtilitiesDJD\IRModels\IrSdeFactory.hpp"
#include "UtilitiesDJD\Vectorsandmatrices\Vector.cpp"
#include "UtilitiesDJD\RNG\NormalGenerator.hpp"
#include "UtilitiesDJD\Vectorsandmatrices\ArrayMechanisms.cpp"
#include <iostream>
using namespace std;
Vector<double, long> Simulation(const IrSde& irsde, Vector<double, long> mesh)
{ // Simulate a short-rate using explicit Euler method
long N = mesh.Size();
Vector<double, long> result(N, mesh.MinIndex());
// Step size
double k = irsde.Interval().spread()/double(N - 1);
double sk = sqrt(k);
double rOld;
// Generate array of normal random numbers
TerribleRandGenerator myTerrible; // rand()
NormalGenerator* myNormal = new BoxMuller(myTerrible);
Vector<double, long> arr2 = myNormal->getNormalVector(N);
//cout << endl << "Printing normal random numbers" << endl;
//print(arr2);
// Initial condition
result[result.MinIndex()] = irsde.InitialCondition();
for (long n = result.MinIndex()+1; n <= result.MaxIndex(); ++n)
{
rOld = result[n-1];
result[n] = rOld + (irsde.calculateDrift(mesh[n], rOld) * k)
+ (irsde.calculateDiffusion(mesh[n], rOld) * sk * arr2[n]);
}
delete myNormal;
return result;
}
int main()
{
// Choose your factory
cout << "1. CIR, 2. Merton: "; int choice; cin >> choice;
IrSdeFactory* myFactory = ChooseFactory(choice);
double kappa = 0;
IrSde* mySde = myFactory->CreateIrSde();
IrSde* mySde2 = mySde->Clone();//->CreateIrSde();
//mySde2->setkappa(cin >> kappa);
//Here I need to create another SDE which clones mySde
//IrSde* mySde2(mySde);
// Now simulate a path using Euler method
cout << "Number of sub-intervals: "; long N; cin >> N;
Vector<double, long> myMesh = mySde->Interval().mesh(N);
CIRSde *derivedPtr = dynamic_cast<CIRSde *> (mySde2);
//Change kappa setting
if (derivedPtr != 0)
{
double oldKappa = derivedPtr->getKappa();
cout << "Old Kappa setting : " << oldKappa << endl;
derivedPtr->setKappa();
cout << "New Kappa setting : " << derivedPtr->getKappa() << endl;
}
// Do an Euler simulation with the current SDE
Vector<double, long> result = Simulation(*mySde, myMesh);
cout << endl << "Prining simulation 1 results" << endl;
print(result);
result = Simulation(*mySde2, myMesh);
cout << endl << "Prining simulation 2 results" << endl;
print(result);
// Clean up
delete mySde;
delete mySde2;
delete myFactory;
return 0;
}
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