Ejemplo n.º 1
0
        static void Main(string[] args)
        {
            var timeHorizon = 100;
            var gridPoints  = 1;

            //var testESG = new BSESG(T:TimeHorizon);
            //var testscenario = testESG.Simulate();


            ////var simpletest = new FinancialObject(null, 1);
            //var test = new FinancialObject2(0.3, 1, TimeHorizon, testscenario);

            ////simpletest.WriteData("C:/Users/Steffen/Dropbox (Keylane)/Speciale/Data/simpletest.csv");
            //test.WriteData("C:/Users/Steffen/Dropbox (Keylane)/Speciale/Data/test.csv");
            var cashflowtool = new CashFlowTool();
            var intensititer = new intensityObject(0.1, 0.01, 0.01, timeHorizon, gridPoints, 0, 0, null, null, null, null);

            intensititer.simulate("");
            intensititer.exportTxt();

            // PW-means //

            // TODO: Sim r and mu

            // TODO: Then calculate transition probs P^mu and forward rates

            // The E[a^circle|r and mu up till time t] cashflow

            double result = findResult(timeHorizon, cashflowtool, intensititer, "ikke cor", "marginal");

            Console.WriteLine("Bonus værdi helt standard");
            double r = result / timeHorizon;

            Console.WriteLine(r.ToString());

            result = findResult(timeHorizon, cashflowtool, intensititer, "ikke cor", "simulation");

            Console.WriteLine("Bonus værdi helt standard, men fundet med sim");
            double p = result / timeHorizon;

            Console.WriteLine(p.ToString());


            result = findResult(timeHorizon, cashflowtool, intensititer, "cor", "marginal");


            Console.WriteLine("Bonus værdi med cor men med marginale");
            double q = result / timeHorizon;

            Console.WriteLine(q.ToString());

            result = findResult(timeHorizon, cashflowtool, intensititer, "cor", "simulation");

            Console.WriteLine("Bonus værdi med cor men med simulation");
            double s = result / timeHorizon;

            Console.WriteLine(s.ToString());
        }
Ejemplo n.º 2
0
        private static double findResult(int timeHorizon, CashFlowTool cashflowtool, intensityObject intensititer, String simMethod, String approxMethod)
        {
            var aCircle           = new double[timeHorizon + 1, timeHorizon + 1];
            var ab                = new double[timeHorizon + 1, timeHorizon + 1];
            var interestContainer = new List <double[]>(timeHorizon);

            ab[0, 0] = 0;
            ab[1, 0] = 0;
            double result = 0;

            for (int scenario = 0; scenario < timeHorizon; scenario++)
            {
                intensititer.simulate(simMethod);
                double[] Q = cashflowtool.calculateQ(intensititer);

                double[] forward = cashflowtool.forward00(intensititer, 0, timeHorizon, approxMethod);
                for (int time_i = 1; time_i <= timeHorizon; time_i++)
                {
                    //CALCULATING NECESSARY CONTROLS

                    // DERIVING CONTROLS
                    double eta     = 0;
                    double delta_1 = 0;
                    // double delta_0 = cashflowtool.tekniskReserve_circle(time_i, intensititer) * (intensititer.r[time_i-1] - intensititer.tekniskr(time_i));
                    // Calculating PQ
                    // double Pq = cashflowtool.calculatePq(intensititer, 0, time_i);


                    // Payments
                    double b_0_circ = 1; double b_01_circ = 2; double b_02_circ = 3;
                    double b_0_dagger = 1; double b_01_dagger = 0; double b_02_dagger = 0;
                    aCircle[scenario, time_i] = cashflowtool.muProbability00(intensititer, 0, time_i, "") * b_0_circ + cashflowtool.muProbability01(intensititer, 0, time_i, "") * b_01_circ + cashflowtool.muProbability02(intensititer, 0, time_i, "") * b_02_circ;
                    ab[scenario, time_i]      = Q[time_i] * forward[time_i] * b_0_dagger;
                    interestContainer.Add(intensititer.r); // need to hold the interest curve for later sum
                }
            }
            for (int scenario = 0; scenario < timeHorizon; scenario++)
            {
                double scenarioResult = 0;
                for (int time = 0; time < timeHorizon - 1; time++)
                {
                    scenarioResult += Math.Exp(-MathNet.Numerics.Integration.SimpsonRule.IntegrateThreePoint(y => rFunctionInx(y, interestContainer[scenario], intensititer), 0, time + 0.5)) * ((ab[0, time] + ab[0, time + 1]) / 2);
                }

                result += scenarioResult;
            }

            return(result);
        }
Ejemplo n.º 3
0
 public double[] forward00(intensityObject intensityobject, int start, int s**t, String method)
 {
     double[] p = new double[intensityobject.mu.Length + 1];
     for (int i = 0; i < start; i++)
     {
         p[i] = 0;
     }
     // Exact, returns the E e^int(tau+mu)
     if (method == "marginal")
     {
         p[start] = Math.Exp(-intensityobject.tau[start] - intensityobject.mu[start]);
         for (int i = start + 1; i <= s**t; i++)
         {
             p[i] = zeroCuponPrice(intensityobject.a1, intensityobject.b1, intensityobject.tau, intensityobject.sigma1, start, i) * Math.Exp(-MathNet.Numerics.Integration.SimpsonRule.IntegrateThreePoint(x => intensityobject.muFunction(x), start, i));
         }
         return(p);
     }
     else if (method == "simulation")
     {
         var paths = new List <double[]>();
         for (int n = 0; n < 100; n++)
         {
             intensityObject intCopy = intensityobject;
             intCopy.simulate("cor");
             var path = new double[intensityobject.mu.Length + 1];
             path[start] = Math.Exp(-intensityobject.tau[start] - intensityobject.mu[start]);
             for (int i = start + 1; i <= s**t; i++)
             {
                 path[i] = Math.Exp(-MathNet.Numerics.Integration.SimpsonRule.IntegrateThreePoint(x => intCopy.tauFunction(x) + intCopy.muFunction(x), start, i));
             }
             paths.Add(path);
         }
         for (int i = 0; i <= intensityobject.mu.Length; i++)
         {
             var total = 0.0;
             for (int n = 0; n < 100; n++)
             {
                 total += paths[n][i];
             }
             p[i] = total / 100;
         }
         return(p);
     }
     else
     {
         throw new NotImplementedException("method not implemented yet");
     }
 }