Beispiel #1
0
        public void testFdmHestonAmerican()
        {
            //Testing FDM with American option in Heston model...

            using (SavedSettings backup = new SavedSettings())
            {
                Handle <Quote> s0 = new Handle <Quote>(new SimpleQuote(100.0));

                Handle <YieldTermStructure> rTS = new Handle <YieldTermStructure>(Utilities.flatRate(0.05, new Actual365Fixed()));
                Handle <YieldTermStructure> qTS = new Handle <YieldTermStructure>(Utilities.flatRate(0.0, new Actual365Fixed()));

                HestonProcess hestonProcess = new HestonProcess(rTS, qTS, s0, 0.04, 2.5, 0.04, 0.66, -0.8);

                Settings.Instance.setEvaluationDate(new Date(28, 3, 2004));
                Date exerciseDate = new Date(28, 3, 2005);

                Exercise          exercise = new AmericanExercise(exerciseDate);
                StrikedTypePayoff payoff   = new PlainVanillaPayoff(Option.Type.Put, 100);

                VanillaOption  option = new VanillaOption(payoff, exercise);
                IPricingEngine engine = new FdHestonVanillaEngine(new HestonModel(hestonProcess), 200, 100, 50);
                option.setPricingEngine(engine);

                double tol           = 0.01;
                double npvExpected   = 5.66032;
                double deltaExpected = -0.30065;
                double gammaExpected = 0.02202;

                if (Math.Abs(option.NPV() - npvExpected) > tol)
                {
                    QAssert.Fail("Failed to reproduce expected npv"
                                 + "\n    calculated: " + option.NPV()
                                 + "\n    expected:   " + npvExpected
                                 + "\n    tolerance:  " + tol);
                }
                if (Math.Abs(option.delta() - deltaExpected) > tol)
                {
                    QAssert.Fail("Failed to reproduce expected delta"
                                 + "\n    calculated: " + option.delta()
                                 + "\n    expected:   " + deltaExpected
                                 + "\n    tolerance:  " + tol);
                }
                if (Math.Abs(option.gamma() - gammaExpected) > tol)
                {
                    QAssert.Fail("Failed to reproduce expected gamma"
                                 + "\n    calculated: " + option.gamma()
                                 + "\n    expected:   " + gammaExpected
                                 + "\n    tolerance:  " + tol);
                }
            }
        }
Beispiel #2
0
        public void calculate(double[] p, GBMParaViewModel para)
        {
            this.xData_ = p;
            this.yData_ = new double[p.Length];

            double sellBuySign = 1.0;

            if (this.sellBuy_ == "매도")
            {
                sellBuySign = -1.0;
            }
            else
            {
            }

            // set up dates
            Calendar calendar = new TARGET();
            //Date todaysDate = new Date(DateTime.Now);
            Date settlementDate = new Date(para.ReferenceDate_);

            Settings.setEvaluationDate(settlementDate);

            // our options
            Option.Type type = this.callPutEnum_;

            double underlying    = para.CurrentPrice_;
            double strike        = this.strike_;
            double dividendYield = para.Dividend_ / 100;
            double riskFreeRate  = para.Drift_ / 100;

            if (this.callPutEnum_ == Option.Type.Call)
            {
                this.imVol_ = para.Call_Interpolation_.value(this.strike_);
            }
            else if (this.callPutEnum_ == Option.Type.Put)
            {
                this.imVol_ = para.Put_Interpolation_.value(this.strike_);
            }

            double volatility = (this.imVol_) / 100;

            Date maturity = new Date(this.maturiry_.AddDays(1));


            if (this.callPutEnum_ == 0)
            {
                this.deltaCal_ = 1.0;
                this.gammaCal_ = 0.0;
                this.vegaCal_  = 0.0;
                this.thetaCal_ = 0.0;
                this.rhoCal_   = 0.0;

                this.deltaPosition_ = sellBuySign * this.unit_ * 500000 * underlying;

                this.deltaRisk_ = this.deltaPosition_ * 0.09;
                this.gammaRisk_ = 0.0;
                this.vegaRisk_  = 0.0;

                this.totalRisk_ = this.deltaRisk_ + this.gammaRisk_ + this.vegaRisk_;
                this.deepOTM_   = 0.0;

                //this.remainDays_ = maturity - settlementDate;
                this.remainDays_ = (this.maturiry_ - para.ReferenceDate_).Days + 1;

                return;
            }

            DayCounter dayCounter = new Actual365Fixed();

            Exercise europeanExercise = new EuropeanExercise(maturity);

            SimpleQuote quote = new SimpleQuote(underlying);

            Handle <Quote> underlyingH = new Handle <Quote>(quote);

            // bootstrap the yield/dividend/vol curves
            var flatTermStructure    = new Handle <YieldTermStructure>(new FlatForward(settlementDate, riskFreeRate, dayCounter));
            var flatDividendTS       = new Handle <YieldTermStructure>(new FlatForward(settlementDate, dividendYield, dayCounter));
            var flatVolTS            = new Handle <BlackVolTermStructure>(new BlackConstantVol(settlementDate, calendar, volatility, dayCounter));
            StrikedTypePayoff payoff = new PlainVanillaPayoff(type, strike);
            var bsmProcess           = new BlackScholesMertonProcess(underlyingH, flatDividendTS, flatTermStructure, flatVolTS);

            // options
            VanillaOption europeanOption = new VanillaOption(payoff, europeanExercise);

            // Analytic formulas:
            // Black-Scholes for European
            europeanOption.setPricingEngine(new AnalyticEuropeanEngine(bsmProcess));

            this.npv_      = Math.Round(europeanOption.NPV(), 6);
            this.deltaCal_ = sellBuySign * Math.Round(europeanOption.delta(), 6);
            this.gammaCal_ = sellBuySign * Math.Round(europeanOption.gamma(), 6);
            this.vegaCal_  = sellBuySign * Math.Round(europeanOption.vega() / 100, 6);
            this.thetaCal_ = sellBuySign * Math.Round(europeanOption.theta() / 365, 6);
            this.rhoCal_   = sellBuySign * Math.Round(europeanOption.rho() / 100, 6);

            this.deltaPosition_ = Math.Round(this.deltaCal_ * this.unit_ * 500000 * underlying, 0);
            this.deltaRisk_     = Math.Round(this.deltaPosition_ * 0.09, 0);
            this.gammaRisk_     = Math.Round(0.5 * this.gammaCal_ * (underlying * underlying * 0.08 * 0.08) * this.unit_ * 500000, 0);
            this.vegaRisk_      = Math.Round(this.vegaCal_ * this.imVol_ * 0.25 * this.unit_ * 500000, 0);

            this.totalRisk_ = this.deltaRisk_ + this.gammaRisk_ + this.vegaRisk_;

            this.deepOTM_ = 0.0;
            //this.remainDays_ = maturity - settlementDate;
            this.remainDays_ = (this.maturiry_ - para.ReferenceDate_).Days + 1;


            for (int i = 0; i < this.xData_.Length; i++)
            {
                quote.setValue(this.xData_[i]);
                this.yData_[i] = 500000.0 * (double)this.unit_ * europeanOption.NPV();
            }
        }
Beispiel #3
0
        public void testCrankNicolsonWithDamping()
        {
            SavedSettings backup = new SavedSettings();

            DayCounter dc    = new Actual360();
            Date       today = Date.Today;

            SimpleQuote           spot  = new SimpleQuote(100.0);
            YieldTermStructure    qTS   = Utilities.flatRate(today, 0.06, dc);
            YieldTermStructure    rTS   = Utilities.flatRate(today, 0.06, dc);
            BlackVolTermStructure volTS = Utilities.flatVol(today, 0.35, dc);

            StrikedTypePayoff payoff =
                new CashOrNothingPayoff(Option.Type.Put, 100, 10.0);

            double   maturity = 0.75;
            Date     exDate   = today + Convert.ToInt32(maturity * 360 + 0.5);
            Exercise exercise = new EuropeanExercise(exDate);

            BlackScholesMertonProcess process = new
                                                BlackScholesMertonProcess(new Handle <Quote>(spot),
                                                                          new Handle <YieldTermStructure>(qTS),
                                                                          new Handle <YieldTermStructure>(rTS),
                                                                          new Handle <BlackVolTermStructure>(volTS));
            IPricingEngine engine =
                new AnalyticEuropeanEngine(process);

            VanillaOption opt = new VanillaOption(payoff, exercise);

            opt.setPricingEngine(engine);
            double expectedPV    = opt.NPV();
            double expectedGamma = opt.gamma();

            // fd pricing using implicit damping steps and Crank Nicolson
            int        csSteps = 25, dampingSteps = 3, xGrid = 400;
            List <int> dim = new InitializedList <int>(1, xGrid);

            FdmLinearOpLayout layout       = new FdmLinearOpLayout(dim);
            Fdm1dMesher       equityMesher =
                new FdmBlackScholesMesher(
                    dim[0], process, maturity, payoff.strike(),
                    null, null, 0.0001, 1.5,
                    new Pair <double?, double?>(payoff.strike(), 0.01));

            FdmMesher mesher =
                new FdmMesherComposite(equityMesher);

            FdmBlackScholesOp map =
                new FdmBlackScholesOp(mesher, process, payoff.strike());

            FdmInnerValueCalculator calculator =
                new FdmLogInnerValue(payoff, mesher, 0);

            object rhs = new Vector(layout.size());
            Vector x   = new Vector(layout.size());
            FdmLinearOpIterator endIter = layout.end();

            for (FdmLinearOpIterator iter = layout.begin(); iter != endIter;
                 ++iter)
            {
                (rhs as Vector)[iter.index()] = calculator.avgInnerValue(iter, maturity);
                x[iter.index()] = mesher.location(iter, 0);
            }

            FdmBackwardSolver solver = new FdmBackwardSolver(map, new FdmBoundaryConditionSet(),
                                                             new FdmStepConditionComposite(),
                                                             new FdmSchemeDesc().Douglas());

            solver.rollback(ref rhs, maturity, 0.0, csSteps, dampingSteps);

            MonotonicCubicNaturalSpline spline = new MonotonicCubicNaturalSpline(x, x.Count, rhs as Vector);

            double s               = spot.value();
            double calculatedPV    = spline.value(Math.Log(s));
            double calculatedGamma = (spline.secondDerivative(Math.Log(s))
                                      - spline.derivative(Math.Log(s))) / (s * s);

            double relTol = 2e-3;

            if (Math.Abs(calculatedPV - expectedPV) > relTol * expectedPV)
            {
                QAssert.Fail("Error calculating the PV of the digital option" +
                             "\n rel. tolerance:  " + relTol +
                             "\n expected:        " + expectedPV +
                             "\n calculated:      " + calculatedPV);
            }
            if (Math.Abs(calculatedGamma - expectedGamma) > relTol * expectedGamma)
            {
                QAssert.Fail("Error calculating the Gamma of the digital option" +
                             "\n rel. tolerance:  " + relTol +
                             "\n expected:        " + expectedGamma +
                             "\n calculated:      " + calculatedGamma);
            }
        }
Beispiel #4
0
        public void testCashAtHitOrNothingAmericanGreeks()
        {
            // Testing American cash-(at-hit)-or-nothing digital option greeks

            SavedSettings backup = new SavedSettings();

            SortedDictionary <string, double> calculated = new SortedDictionary <string, double>();
            SortedDictionary <string, double> expected   = new SortedDictionary <string, double>();
            SortedDictionary <string, double> tolerance  = new SortedDictionary <string, double>(); // std::map<std::string,Real> calculated, expected, tolerance;

            tolerance["delta"] = 5.0e-5;
            tolerance["gamma"] = 5.0e-5;
            tolerance["rho"]   = 5.0e-5;

            Option.Type[] types      = { QLNet.Option.Type.Call, QLNet.Option.Type.Put };
            double[]      strikes    = { 50.0, 99.5, 100.5, 150.0 };
            double        cashPayoff = 100.0;

            double[] underlyings = { 100 };
            double[] qRates      = { 0.04, 0.05, 0.06 };
            double[] rRates      = { 0.01, 0.05, 0.15 };
            double[] vols        = { 0.11, 0.5, 1.2 };

            DayCounter dc    = new Actual360();
            Date       today = Date.Today;

            Settings.setEvaluationDate(today);

            SimpleQuote spot  = new SimpleQuote(0.0);
            SimpleQuote qRate = new SimpleQuote(0.0);
            Handle <YieldTermStructure> qTS = new Handle <YieldTermStructure>(Utilities.flatRate(qRate, dc));
            SimpleQuote rRate = new SimpleQuote(0.0);
            Handle <YieldTermStructure> rTS = new Handle <YieldTermStructure>(Utilities.flatRate(rRate, dc));
            SimpleQuote vol = new SimpleQuote(0.0);
            Handle <BlackVolTermStructure> volTS = new Handle <BlackVolTermStructure>(Utilities.flatVol(vol, dc));

            // there is no cycling on different residual times
            Date     exDate     = today + 360;
            Exercise exercise   = new EuropeanExercise(exDate);
            Exercise amExercise = new AmericanExercise(today, exDate, false);

            Exercise[] exercises = { exercise, amExercise };

            BlackScholesMertonProcess stochProcess = new BlackScholesMertonProcess(new Handle <Quote>(spot), qTS, rTS, volTS);

            IPricingEngine euroEngine = new AnalyticEuropeanEngine(stochProcess);

            IPricingEngine amEngine = new AnalyticDigitalAmericanEngine(stochProcess);

            IPricingEngine[] engines = { euroEngine, amEngine };

            bool knockin = true;

            for (int j = 0; j < engines.Length; j++)
            {
                for (int i1 = 0; i1 < types.Length; i1++)
                {
                    for (int i6 = 0; i6 < strikes.Length; i6++)
                    {
                        StrikedTypePayoff payoff = new CashOrNothingPayoff(types[i1], strikes[i6], cashPayoff);

                        VanillaOption opt = new VanillaOption(payoff, exercises[j]);
                        opt.setPricingEngine(engines[j]);

                        for (int i2 = 0; i2 < underlyings.Length; i2++)
                        {
                            for (int i4 = 0; i4 < qRates.Length; i4++)
                            {
                                for (int i3 = 0; i3 < rRates.Length; i3++)
                                {
                                    for (int i7 = 0; i7 < vols.Length; i7++)
                                    {
                                        // test data
                                        double u = underlyings[i2];
                                        double q = qRates[i4];
                                        double r = rRates[i3];
                                        double v = vols[i7];
                                        spot.setValue(u);
                                        qRate.setValue(q);
                                        rRate.setValue(r);
                                        vol.setValue(v);

                                        // theta, dividend rho and vega are not available for
                                        // digital option with american exercise. Greeks of
                                        // digital options with european payoff are tested
                                        // in the europeanoption.cpp test
                                        double value = opt.NPV();
                                        calculated["delta"] = opt.delta();
                                        calculated["gamma"] = opt.gamma();
                                        calculated["rho"]   = opt.rho();

                                        if (value > 1.0e-6)
                                        {
                                            // perturb spot and get delta and gamma
                                            double du = u * 1.0e-4;
                                            spot.setValue(u + du);
                                            double value_p = opt.NPV(),
                                                   delta_p = opt.delta();
                                            spot.setValue(u - du);
                                            double value_m = opt.NPV(),
                                                   delta_m = opt.delta();
                                            spot.setValue(u);
                                            expected["delta"] = (value_p - value_m) / (2 * du);
                                            expected["gamma"] = (delta_p - delta_m) / (2 * du);

                                            // perturb rates and get rho and dividend rho
                                            double dr = r * 1.0e-4;
                                            rRate.setValue(r + dr);
                                            value_p = opt.NPV();
                                            rRate.setValue(r - dr);
                                            value_m = opt.NPV();
                                            rRate.setValue(r);
                                            expected["rho"] = (value_p - value_m) / (2 * dr);

                                            // check
                                            //std::map<std::string,Real>::iterator it;
                                            foreach (var it in calculated)
                                            {
                                                string greek = it.Key;
                                                double expct = expected  [greek],
                                                       calcl = calculated[greek],
                                                       tol   = tolerance [greek];
                                                double error = Utilities.relativeError(expct, calcl, value);
                                                if (error > tol)
                                                {
                                                    REPORT_FAILURE(greek, payoff, exercise,
                                                                   u, q, r, today, v,
                                                                   expct, calcl, error, tol, knockin);
                                                }
                                            }
                                        }
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }
Beispiel #5
0
        private void Button_Click_1(object sender, RoutedEventArgs e)
        {
            Option.Type optionType;
            if (CallorPut.Text == "Call")
            {
                optionType = Option.Type.Call;
            }
            else
            {
                optionType = Option.Type.Put;
            }


            double underlyingPrice = Convert.ToDouble(Stockprice.Text);
            double strikePrice     = Convert.ToDouble(Strikeprice.Text);
            double dividendYield   = 0.0;
            double riskFreeRate    = Convert.ToDouble(Intrate.Text);
            double volatility      = Convert.ToDouble(Resultvol.Text) / 100;
            Date   todaydate       = Date.todaysDate();
            string expd            = Datepick.Text;
            Date   maturityDate    = new Date();

            if (expd[1].ToString()  is "/")
            {
                expd = '0' + expd;
            }
            if (expd[4].ToString() is "/")
            {
                expd = expd.Substring(0, 3) + '0' + expd.Substring(3);
            }
            maturityDate = DateParser.parseFormatted(expd, "%m/%d/%Y");



            Settings.instance().setEvaluationDate(todaydate);

            Date settlementDate = new Date();

            settlementDate = todaydate;



            QuantLib.Calendar calendar = new TARGET();

            AmericanExercise americanExercise =
                new AmericanExercise(settlementDate, maturityDate);

            EuropeanExercise europeanExercise =
                new EuropeanExercise(maturityDate);

            DayCounter dayCounter = new Actual365Fixed();
            YieldTermStructureHandle flatRateTSH =
                new YieldTermStructureHandle(
                    new FlatForward(settlementDate, riskFreeRate,
                                    dayCounter));
            YieldTermStructureHandle flatDividendTSH =
                new YieldTermStructureHandle(
                    new FlatForward(settlementDate, dividendYield,
                                    dayCounter));
            BlackVolTermStructureHandle flatVolTSH =
                new BlackVolTermStructureHandle(
                    new BlackConstantVol(settlementDate, calendar,
                                         volatility, dayCounter));

            QuoteHandle underlyingQuoteH =
                new QuoteHandle(new SimpleQuote(underlyingPrice));

            BlackScholesMertonProcess stochasticProcess =
                new BlackScholesMertonProcess(underlyingQuoteH,
                                              flatDividendTSH,
                                              flatRateTSH,
                                              flatVolTSH);

            PlainVanillaPayoff payoff =
                new PlainVanillaPayoff(optionType, strikePrice);

            VanillaOption americanOption =
                new VanillaOption(payoff, americanExercise);

            VanillaOption americanOption2 =
                new VanillaOption(payoff, americanExercise);

            VanillaOption europeanOption =
                new VanillaOption(payoff, europeanExercise);

            americanOption.setPricingEngine(
                new BaroneAdesiWhaleyEngine(stochasticProcess));

            americanOption2.setPricingEngine(
                new BinomialVanillaEngine(stochasticProcess, "coxrossrubinstein", 1000));

            europeanOption.setPricingEngine(
                new AnalyticEuropeanEngine(stochasticProcess));

            //double opprice = Math.Round(americanOption2.NPV(), 3);



            Date         divdate1 = new Date(14, Month.January, 2019);
            DoubleVector divpay   = new DoubleVector();
            DateVector   divDates = new DateVector();
            //divpay.Add(.0001);
            //divDates.Add(divdate1);
            DividendVanillaOption americanOption1 = new DividendVanillaOption(payoff, americanExercise, divDates, divpay);

            FDDividendAmericanEngine engine = new FDDividendAmericanEngine(stochasticProcess);

            americanOption1.setPricingEngine(engine);
            //double opprice4 = americanOption1.NPV();
            double Inoprice = Convert.ToDouble(Resultam.Text);
            double vol1     = americanOption1.impliedVolatility(Inoprice, stochasticProcess, .0001);

            vol1 = Math.Round(vol1, 4) * 100;
            double delta1 = Math.Round(americanOption2.delta(), 2);
            double gamma1 = Math.Round(americanOption2.gamma(), 2);
            double theta1 = Math.Round(europeanOption.theta() / 365, 2);
            double vega1  = Math.Round(europeanOption.vega() / 100, 2);

            //Resultam.Text = opprice4.ToString();
            Resultam_Delta.Text = delta1.ToString();
            Resultam_Gamma.Text = gamma1.ToString();
            Resultam_Theta.Text = theta1.ToString();
            Resultam_Vega.Text  = vega1.ToString();
            Resultvol.Text      = vol1.ToString();
        }
Beispiel #6
0
        public void testFdGreeks <Engine>() where Engine : IFDEngine, new()
        {
            using (SavedSettings backup = new SavedSettings())
            {
                Dictionary <string, double> calculated = new Dictionary <string, double>(),
                                            expected   = new Dictionary <string, double>(),
                                            tolerance  = new Dictionary <string, double>();

                tolerance.Add("delta", 7.0e-4);
                tolerance.Add("gamma", 2.0e-4);
                //tolerance["theta"]  = 1.0e-4;

                Option.Type[] types       = new Option.Type[] { Option.Type.Call, Option.Type.Put };
                double[]      strikes     = { 50.0, 99.5, 100.0, 100.5, 150.0 };
                double[]      underlyings = { 100.0 };
                double[]      qRates      = { 0.04, 0.05, 0.06 };
                double[]      rRates      = { 0.01, 0.05, 0.15 };
                int[]         years       = { 1, 2 };
                double[]      vols        = { 0.11, 0.50, 1.20 };

                Date today = Date.Today;
                Settings.setEvaluationDate(today);

                DayCounter         dc    = new Actual360();
                SimpleQuote        spot  = new SimpleQuote(0.0);
                SimpleQuote        qRate = new SimpleQuote(0.0);
                YieldTermStructure qTS   = Utilities.flatRate(today, qRate, dc);

                SimpleQuote           rRate = new SimpleQuote(0.0);
                YieldTermStructure    rTS   = Utilities.flatRate(today, rRate, dc);
                SimpleQuote           vol   = new SimpleQuote(0.0);
                BlackVolTermStructure volTS = Utilities.flatVol(today, vol, dc);

                for (int i = 0; i < types.Length; i++)
                {
                    for (int j = 0; j < strikes.Length; j++)
                    {
                        for (int k = 0; k < years.Length; k++)
                        {
                            Date                      exDate       = today + new Period(years[k], TimeUnit.Years);
                            Exercise                  exercise     = new AmericanExercise(today, exDate);
                            StrikedTypePayoff         payoff       = new PlainVanillaPayoff(types[i], strikes[j]);
                            BlackScholesMertonProcess stochProcess = new BlackScholesMertonProcess(new Handle <Quote>(spot),
                                                                                                   new Handle <YieldTermStructure>(qTS),
                                                                                                   new Handle <YieldTermStructure>(rTS),
                                                                                                   new Handle <BlackVolTermStructure>(volTS));

                            IPricingEngine engine = new Engine().factory(stochProcess);

                            VanillaOption option = new VanillaOption(payoff, exercise);
                            option.setPricingEngine(engine);

                            for (int l = 0; l < underlyings.Length; l++)
                            {
                                for (int m = 0; m < qRates.Length; m++)
                                {
                                    for (int n = 0; n < rRates.Length; n++)
                                    {
                                        for (int p = 0; p < vols.Length; p++)
                                        {
                                            double u = underlyings[l];
                                            double q = qRates[m],
                                                   r = rRates[n];
                                            double v = vols[p];
                                            spot.setValue(u);
                                            qRate.setValue(q);
                                            rRate.setValue(r);
                                            vol.setValue(v);

                                            double value = option.NPV();
                                            calculated.Add("delta", option.delta());
                                            calculated.Add("gamma", option.gamma());
                                            //calculated["theta"]  = option.theta();

                                            if (value > spot.value() * 1.0e-5)
                                            {
                                                // perturb spot and get delta and gamma
                                                double du = u * 1.0e-4;
                                                spot.setValue(u + du);
                                                double value_p = option.NPV(),
                                                       delta_p = option.delta();
                                                spot.setValue(u - du);
                                                double value_m = option.NPV(),
                                                       delta_m = option.delta();
                                                spot.setValue(u);
                                                expected.Add("delta", (value_p - value_m) / (2 * du));
                                                expected.Add("gamma", (delta_p - delta_m) / (2 * du));

                                                /*
                                                 * // perturb date and get theta
                                                 * Time dT = dc.yearFraction(today-1, today+1);
                                                 * Settings::instance().setEvaluationDate(today-1);
                                                 * value_m = option.NPV();
                                                 * Settings::instance().setEvaluationDate(today+1);
                                                 * value_p = option.NPV();
                                                 * Settings::instance().setEvaluationDate(today);
                                                 * expected["theta"] = (value_p - value_m)/dT;
                                                 */

                                                // compare
                                                foreach (string greek in calculated.Keys)
                                                {
                                                    double expct      = expected[greek],
                                                                calcl = calculated[greek],
                                                                tol   = tolerance[greek];
                                                    double error      = Utilities.relativeError(expct, calcl, u);
                                                    if (error > tol)
                                                    {
                                                        REPORT_FAILURE(greek, payoff, exercise,
                                                                       u, q, r, today, v,
                                                                       expct, calcl, error, tol);
                                                    }
                                                }
                                            }
                                            calculated.Clear();
                                            expected.Clear();
                                        }
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }
Beispiel #7
0
        //void testEngineConsistency(EngineType engine, int binomialSteps, int samples, Dictionary<string,double> tolerance,
        //                           bool testGreeks = false) {
        void testEngineConsistency(EngineType engine, int binomialSteps, int samples, Dictionary <string, double> tolerance,
                                   bool testGreeks)
        {
            //QL_TEST_START_TIMING

            Dictionary <string, double> calculated = new Dictionary <string, double>(), expected = new Dictionary <string, double>();

            // test options
            Option.Type[] types         = { Option.Type.Call, Option.Type.Put };
            double[]      strikes       = { 75.0, 100.0, 125.0 };
            int[]         lengths       = { 1 };

            // test data
            double[] underlyings        = { 100.0 };
            double[] qRates             = { 0.00, 0.05 };
            double[] rRates             = { 0.01, 0.05, 0.15 };
            double[] vols               = { 0.11, 0.50, 1.20 };

            DayCounter dc               = new Actual360();
            Date       today            = Date.Today;

            SimpleQuote           spot = new SimpleQuote(0.0);
            SimpleQuote           vol   = new SimpleQuote(0.0);
            BlackVolTermStructure volTS = Utilities.flatVol(today, vol, dc);
            SimpleQuote           qRate = new SimpleQuote(0.0);
            YieldTermStructure    qTS   = Utilities.flatRate(today, qRate, dc);
            SimpleQuote           rRate = new SimpleQuote(0.0);
            YieldTermStructure    rTS   = Utilities.flatRate(today, rRate, dc);

            for (int i = 0; i < types.Length; i++)
            {
                for (int j = 0; j < strikes.Length; j++)
                {
                    for (int k = 0; k < lengths.Length; k++)
                    {
                        Date              exDate   = today + lengths[k] * 360;
                        Exercise          exercise = new EuropeanExercise(exDate);
                        StrikedTypePayoff payoff   = new PlainVanillaPayoff(types[i], strikes[j]);
                        // reference option
                        VanillaOption refOption = makeOption(payoff, exercise, spot, qTS, rTS, volTS,
                                                             EngineType.Analytic, 0, 0);
                        // option to check
                        VanillaOption option = makeOption(payoff, exercise, spot, qTS, rTS, volTS,
                                                          engine, binomialSteps, samples);

                        for (int l = 0; l < underlyings.Length; l++)
                        {
                            for (int m = 0; m < qRates.Length; m++)
                            {
                                for (int n = 0; n < rRates.Length; n++)
                                {
                                    for (int p = 0; p < vols.Length; p++)
                                    {
                                        double u = underlyings[l];
                                        double q = qRates[m],
                                               r = rRates[n];
                                        double v = vols[p];
                                        spot.setValue(u);
                                        qRate.setValue(q);
                                        rRate.setValue(r);
                                        vol.setValue(v);

                                        expected.Clear();
                                        calculated.Clear();

                                        // FLOATING_POINT_EXCEPTION
                                        expected.Add("value", refOption.NPV());
                                        calculated.Add("value", option.NPV());

                                        if (testGreeks && option.NPV() > spot.value() * 1.0e-5)
                                        {
                                            expected.Add("delta", refOption.delta());
                                            expected.Add("gamma", refOption.gamma());
                                            expected.Add("theta", refOption.theta());
                                            calculated.Add("delta", option.delta());
                                            calculated.Add("gamma", option.gamma());
                                            calculated.Add("theta", option.theta());
                                        }
                                        foreach (string greek in calculated.Keys)
                                        {
                                            double expct      = expected[greek],
                                                        calcl = calculated[greek],
                                                        tol   = tolerance[greek];
                                            double error      = Utilities.relativeError(expct, calcl, u);
                                            if (error > tol)
                                            {
                                                REPORT_FAILURE(greek, payoff, exercise,
                                                               u, q, r, today, v,
                                                               expct, calcl, error, tol);
                                            }
                                        }
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }
        public void calculate(GBMParaViewModel para)
        {
            // set up dates
            Calendar calendar = new TARGET();
            //Date todaysDate = new Date(DateTime.Now);
            Date settlementDate = new Date(para.ReferenceDate_);

            Settings.setEvaluationDate(settlementDate);

            // our options
            Option.Type type = this.callPutEnum_;

            double underlying    = para.CurrentPrice_;
            double strike        = this.strike_;
            double dividendYield = para.Dividend_ / 100;
            double riskFreeRate  = para.Drift_ / 100;
            double volatility    = 0.0;

            if (this.callPutEnum_ == Option.Type.Call)
            {
                try
                {
                    volatility     = para.Call_Interpolation_.value(this.strike_) / 100;
                    this.imVolCal_ = Math.Round(para.Call_Interpolation_.value(this.strike_), 1);
                }
                catch (Exception)
                {
                    volatility     = para.Call_Interpolation_.value(this.strike_, true) / 100;
                    this.imVolCal_ = Math.Round(para.Call_Interpolation_.value(this.strike_, true), 1);
                }
            }
            else if (this.callPutEnum_ == Option.Type.Put)
            {
                try
                {
                    volatility     = para.Call_Interpolation_.value(this.strike_) / 100;
                    this.imVolCal_ = Math.Round(para.Put_Interpolation_.value(this.strike_), 1);
                }
                catch (Exception)
                {
                    volatility     = para.Call_Interpolation_.value(this.strike_, true) / 100;
                    this.imVolCal_ = Math.Round(para.Put_Interpolation_.value(this.strike_, true), 1);
                }
            }



            Date maturity = new Date(this.maturiry_);

            DayCounter dayCounter = new Actual365Fixed();

            //// write column headings
            //int[] widths = new int[] { 35, 14, 14, 14 };
            //Console.Write("{0,-" + widths[0] + "}", "Method");
            //Console.Write("{0,-" + widths[1] + "}", "European");
            //Console.Write("{0,-" + widths[2] + "}", "Bermudan");
            //Console.WriteLine("{0,-" + widths[3] + "}", "American");

            //List<Date> exerciseDates = new List<Date>(); ;
            //for (int i = 1; i <= 4; i++)
            //    exerciseDates.Add(settlementDate + new Period(3 * i, TimeUnit.Months));

            Exercise europeanExercise = new EuropeanExercise(maturity);
            //Exercise bermudanExercise = new BermudanExercise(exerciseDates);
            //Exercise americanExercise = new AmericanExercise(settlementDate, maturity);

            Handle <Quote> underlyingH = new Handle <Quote>(new SimpleQuote(underlying));

            // bootstrap the yield/dividend/vol curves
            var flatTermStructure    = new Handle <YieldTermStructure>(new FlatForward(settlementDate, riskFreeRate, dayCounter));
            var flatDividendTS       = new Handle <YieldTermStructure>(new FlatForward(settlementDate, dividendYield, dayCounter));
            var flatVolTS            = new Handle <BlackVolTermStructure>(new BlackConstantVol(settlementDate, calendar, volatility, dayCounter));
            StrikedTypePayoff payoff = new PlainVanillaPayoff(type, strike);
            var bsmProcess           = new BlackScholesMertonProcess(underlyingH, flatDividendTS, flatTermStructure, flatVolTS);

            // options
            VanillaOption europeanOption = new VanillaOption(payoff, europeanExercise);

            // Analytic formulas:
            // Black-Scholes for European
            europeanOption.setPricingEngine(new AnalyticEuropeanEngine(bsmProcess));

            this.npv_      = Math.Round(europeanOption.NPV(), 6);
            this.deltaCal_ = Math.Round(europeanOption.delta(), 6);
            this.gammaCal_ = Math.Round(europeanOption.gamma(), 6);
            this.vegaCal_  = Math.Round(europeanOption.vega() / 100, 6);
            this.thetaCal_ = Math.Round(europeanOption.theta() / 365, 6);
            this.rhoCal_   = Math.Round(europeanOption.rho() / 100, 6);
        }
        public static object eqInstGetOptionGreeks(
            [ExcelArgument(Description = "id of option ")] string ObjectId,
            [ExcelArgument(Description = "Greek type ")] string gtype,
            [ExcelArgument(Description = "Option type (VANILLA or MULTIASSET)")] string otype,
            [ExcelArgument(Description = "trigger ")] object trigger)
        {
            if (ExcelUtil.CallFromWizard())
            {
                return("");
            }

            string callerAddress = "";

            callerAddress = ExcelUtil.getActiveCellAddress();

            try
            {
                Xl.Range rng = ExcelUtil.getActiveCellRange();

                if (ExcelUtil.isNull(gtype))
                {
                    gtype = "NPV";
                }
                if (ExcelUtil.isNull(otype))
                {
                    otype = "VANILLA";
                }

                if (otype == "VANILLA")
                {
                    VanillaOption option = OHRepository.Instance.getObject <VanillaOption>(ObjectId);
                    switch (gtype.ToUpper())
                    {
                    case "NPV":
                        return(option.NPV());

                    case "DELTA":
                        return(option.delta());

                    case "GAMMA":
                        return(option.gamma());

                    case "VEGA":
                        return(option.vega());

                    case "THETA":
                        return(option.theta());

                    case "RHO":
                        return(option.rho());

                    default:
                        return(0);
                    }
                }
                else if (otype == "MULTIASSET")
                {
                    BasketOption option = OHRepository.Instance.getObject <BasketOption>(ObjectId);
                    switch (gtype.ToUpper())
                    {
                    case "NPV":
                        return(option.NPV());

                    case "DELTA":
                        return(option.delta());

                    case "GAMMA":
                        return(option.gamma());

                    case "VEGA":
                        return(option.vega());

                    case "THETA":
                        return(option.theta());

                    case "RHO":
                        return(option.rho());

                    default:
                        return(0);
                    }
                }
                else
                {
                    return("Unknown option type");
                }
            }
            catch (Exception e)
            {
                ExcelUtil.logError(callerAddress, System.Reflection.MethodInfo.GetCurrentMethod().Name.ToString(), e.Message);
                return("#EQ_ERR!");
            }
        }