From 2293ff0a7be1f4eed27305b613ade8d39579919d Mon Sep 17 00:00:00 2001 From: Klaus Spanderen Date: Wed, 27 May 2020 00:36:00 +0200 Subject: [PATCH 1/5] improved nodes/weights and control variate --- .../vanilla/analytichestonengine.cpp | 30 +- .../vanilla/analytichestonengine.hpp | 6 +- .../vanilla/analyticptdhestonengine.cpp | 5 +- .../exponentialfittinghestonengine.cpp | 374 ++++++++---------- .../exponentialfittinghestonengine.hpp | 8 + test-suite/hestonmodel.cpp | 40 ++ test-suite/hestonmodel.hpp | 1 + 7 files changed, 240 insertions(+), 224 deletions(-) diff --git a/ql/pricingengines/vanilla/analytichestonengine.cpp b/ql/pricingengines/vanilla/analytichestonengine.cpp index 9f0c4ceaa42..ba1f85f891a 100644 --- a/ql/pricingengines/vanilla/analytichestonengine.cpp +++ b/ql/pricingengines/vanilla/analytichestonengine.cpp @@ -23,7 +23,9 @@ based on fourier transformation */ +#include #include +#include #include #include #include @@ -577,8 +579,9 @@ namespace QuantLib { const Real epsilon = enginePtr->andersenPiterbargEpsilon_ *M_PI/(std::sqrt(strikePrice*fwdPrice)*riskFreeDiscount); - const Real uM = Integration::andersenPiterbargIntegrationLimit( - c_inf, epsilon, v0, term); + const ext::function uM = ext::bind( + Integration::andersenPiterbargIntegrationLimit, + c_inf, epsilon, v0, term); const Real vAvg = (cpxLog == AndersenPiterbarg) ? (1-std::exp(-kappa*term))*(v0-theta)/(kappa*term) + theta @@ -790,17 +793,17 @@ namespace QuantLib { case Trapezoid: case GaussLobatto: case GaussKronrod: - if (maxBound == Null()) - retVal = (*integrator_)(integrand2(c_inf, f), 0.0, 1.0); + if (maxBound && maxBound() != Null()) + retVal = (*integrator_)(f, 0.0, maxBound()); else - retVal = (*integrator_)(f, 0.0, maxBound); + retVal = (*integrator_)(integrand2(c_inf, f), 0.0, 1.0); break; case DiscreteTrapezoid: case DiscreteSimpson: - if (maxBound == Null()) - retVal = (*integrator_)(integrand3(c_inf, f), 0.0, 1.0); + if (maxBound && maxBound() != Null()) + retVal = (*integrator_)(f, 0.0, maxBound()); else - retVal = (*integrator_)(f, 0.0, maxBound); + retVal = (*integrator_)(integrand3(c_inf, f), 0.0, 1.0); break; default: QL_FAIL("unknwon integration algorithm"); @@ -809,6 +812,17 @@ namespace QuantLib { return retVal; } + Real AnalyticHestonEngine::Integration::calculate( + Real c_inf, + const ext::function& f, + Real maxBound) const { + + return AnalyticHestonEngine::Integration::calculate( + c_inf, f, + ext::bind(&constant::operator(), + constant(maxBound), 1.0)); + } + Real AnalyticHestonEngine::Integration::andersenPiterbargIntegrationLimit( Real c_inf, Real epsilon, Real v0, Real t) { diff --git a/ql/pricingengines/vanilla/analytichestonengine.hpp b/ql/pricingengines/vanilla/analytichestonengine.hpp index 00c3b127aa0..0094f1d38e7 100644 --- a/ql/pricingengines/vanilla/analytichestonengine.hpp +++ b/ql/pricingengines/vanilla/analytichestonengine.hpp @@ -187,7 +187,11 @@ namespace QuantLib { Real calculate(Real c_inf, const ext::function& f, - Real maxBound = Null()) const; + const ext::function& maxBound = + ext::function()) const; + + Real calculate(Real c_inf, + const boost::function& f, Real maxBound) const; Size numberOfEvaluations() const; bool isAdaptiveIntegration() const; diff --git a/ql/pricingengines/vanilla/analyticptdhestonengine.cpp b/ql/pricingengines/vanilla/analyticptdhestonengine.cpp index 7c3442a49fd..19cd097b06f 100644 --- a/ql/pricingengines/vanilla/analyticptdhestonengine.cpp +++ b/ql/pricingengines/vanilla/analyticptdhestonengine.cpp @@ -366,8 +366,9 @@ namespace QuantLib { const Real c_inf = -(C_u_inf + D_u_inf*v0).real(); - const Real uM = Integration::andersenPiterbargIntegrationLimit( - c_inf, epsilon, v0, term); + const ext::function uM = ext::bind( + Integration::andersenPiterbargIntegrationLimit, + c_inf, epsilon, v0, term); const Real vAvg = (1-std::exp(-kappaAvg*term))*(v0-thetaAvg) diff --git a/ql/pricingengines/vanilla/exponentialfittinghestonengine.cpp b/ql/pricingengines/vanilla/exponentialfittinghestonengine.cpp index c4fbe4d97c6..ebcc53f7595 100644 --- a/ql/pricingengines/vanilla/exponentialfittinghestonengine.cpp +++ b/ql/pricingengines/vanilla/exponentialfittinghestonengine.cpp @@ -29,212 +29,154 @@ namespace QuantLib { namespace { - const Real values4[][97] = { - { 0.1, 171.437826761613, 156.6175183858351, 144.877204127834, 134.8032751020512, 125.8480391315938, 117.72588739394, 110.2637173607379, 103.3464304186828, 96.89250236353612, 90.84147309412879, 85.1469089399508, 79.77215560487077, 74.68763124621332, 69.86902393663411, 65.29604744160705, 60.95155620121656, 56.82089957193771, 52.89144021989528, 49.15218804797996, 45.59351727052686, 42.20694451333904, 38.98495248964215, 35.92084824816649, 33.00864801668865, 30.24298276637574, 27.61902010790804, 25.13239919732079, 22.77917610707254, 20.55577769215006, 18.45896241045347, 16.48578688149088, 14.63357721566139, 12.89990433803501, 11.28256267983346, 9.77955172814694, 8.389060017393476, 7.109451220274391, 5.939252055708735, 4.877141779594298, 3.921943063584976, 3.072614099026364, 2.328241788525261, 1.688035905316241, 1.151324103612573, 0.7175476175288313, 0.3862571974356287, 0.1571066966526067, 0.02981119004596868, 17.52653922091447, 12.89919160875974, 10.77945048116442, 9.45295077959324, 8.503096391077531, 7.769259060212166, 7.17389144978262, 6.674074360624924, 6.243746793865173, 5.865982613087955, 5.529211031465673, 5.225196677191063, 4.947883740687557, 4.692697440311368, 4.456102552481681, 4.235313787373213, 4.028099667151026, 3.832646055677671, 3.647458923368717, 3.471293614160899, 3.303102437449376, 3.141995196298692, 2.987209018384236, 2.838084988776768, 2.694049831145943, 2.554601387269435, 2.419296989891506, 2.287744064645649, 2.159592467142895, 2.034528183651634, 1.912268112749918, 1.792555710792215, 1.675157332736522, 1.559859136485059, 1.446464446669109, 1.334791495073813, 1.224671471318156, 1.115946830195046, 1.008469812148476, 0.9021011414527647, 0.7967088734843217, 0.6921673691485922, 0.5883563839611581, 0.4851602825983057, 0.3824674821366286, 0.2801707569967799, 0.1781738128840479, 0.07650893949324769 }, - { 0.11, 171.1146984025081, 156.3485135447834, 144.6473738955855, 134.6045017209472, 125.6749190543586, 117.5744609431636, 110.1309146333344, 103.2297816829962, 96.78996841110273, 90.75133766898596, 85.06770642275921, 79.7026201568807, 74.62665973926128, 69.81564812983859, 65.24941258319143, 60.91090422848455, 56.78555568515923, 52.86080198542522, 49.12571643294233, 45.57072917677888, 42.18740649194448, 38.96827539672422, 35.90668265998408, 32.99668026325331, 30.2329314735941, 27.61063316123478, 25.12545105738017, 22.77346542113743, 20.55112515580238, 18.45520884193736, 16.48279147775159, 14.63121596423761, 12.89806856313397, 11.28115770428945, 9.778495635711092, 8.388282502054568, 7.108892511165722, 5.938861907690601, 4.876878520875829, 3.92177269280972, 3.07250942513027, 2.328181607413189, 1.688004208017345, 1.151309311084557, 0.7175418377012722, 0.3862555004250663, 0.1571064043562469, 0.02981117653326826, 17.45940135270662, 12.85436788524774, 10.74496219421501, 9.424904967403547, 8.479604694119142, 7.749219094999725, 7.156585773696563, 6.659001270944206, 6.230537051675624, 5.854353872314384, 5.518940882415522, 5.216105719673616, 4.939824439751859, 4.68554650134563, 4.449755535202519, 4.229681197708873, 4.023104055704317, 3.828219820437237, 3.643542616778546, 3.467834618860752, 3.300053916422892, 3.139315250586498, 2.984860004088089, 2.836032957913762, 2.692264069944785, 2.553054031965294, 2.417962704772666, 2.286599770564904, 2.158617111287628, 2.033702543314646, 1.911574627329436, 1.791978337395168, 1.674681421650448, 1.559471323483713, 1.446152559670662, 1.334544473112539, 1.22447929414593, 1.115800457117032, 1.008361128932551, 0.9020229143457178, 0.7966547095283346, 0.6921316821256381, 0.5883343654061743, 0.4851478774184294, 0.3824613684569034, 0.2801683299253293, 0.178173171954372, 0.07650887959885685 }, - { 0.12, 170.7624290611855, 156.0553012989563, 144.3968752121326, 134.387850234286, 125.4862178640175, 117.4093918560766, 109.9861316880763, 103.1025942731259, 96.67815573294669, 90.65303111869134, 84.98131057415254, 79.62675721758071, 74.56012908503762, 69.75739594913854, 65.19850854433894, 60.86652317080197, 56.74696299496147, 52.82734173321416, 49.09680161840176, 45.54583360909653, 42.16605795714958, 38.95004985082297, 35.89119924896882, 32.98359701639814, 30.22194154996752, 27.60146155449205, 25.11785168298785, 22.76721852485266, 20.54603499362514, 18.45110159069352, 16.47951334254083, 14.62863145462804, 12.89605891452764, 11.27961942456123, 9.77733916022119, 8.3874309425918, 7.108280486402336, 5.938434444403665, 4.876590016580082, 3.921585931603738, 3.072394639522439, 2.328115579698519, 1.687969405446158, 1.151293049620229, 0.7175354696225957, 0.3862536214026151, 0.1571060759313776, 0.0298111601619762, 17.3861075526682, 12.80548076518684, 10.70736841020027, 9.394344455855453, 8.454012164235845, 7.727389635083092, 7.137735731931048, 6.642583004869119, 6.216147767222225, 5.841685748199683, 5.507751574579348, 5.206199845164505, 4.931041389911559, 4.677752106388072, 4.44283617842743, 4.223539546376021, 4.017655892747845, 3.823391646190602, 3.639269802014441, 3.464059960719482, 3.296726494135023, 3.136389507898995, 2.982295005618008, 2.833791780691084, 2.690313301285206, 2.55136335188273, 2.416504536276144, 2.285348984966356, 2.157550778467899, 2.032799719023656, 1.91081617122035, 1.791346756743687, 1.674160736683738, 1.559046951007381, 1.445811212286821, 1.334274071804359, 1.224268892391996, 1.115640175013058, 1.008242096054597, 0.9019372203001007, 0.7965953613084243, 0.6920925675420732, 0.5883102219804551, 0.4851342662350523, 0.3824546525598398, 0.2801656569238016, 0.1781724605731369, 0.07650880996547311 }, - { 0.13, 170.3814516160299, 155.7382558095226, 144.1260310057026, 134.1535989415622, 125.282174999221, 117.230885740592, 109.8295446934275, 102.9650187578218, 96.55719266054772, 90.54666248527645, 84.88781373286896, 79.54464469187595, 74.48810474581944, 69.69432216020894, 65.14338092361806, 60.81845079756336, 56.70515260981718, 52.79108492866198, 49.06546431119051, 45.51884728206341, 42.14291229293494, 38.93028647436992, 35.87440636329154, 32.96940476527442, 30.2100179775549, 27.59150905911292, 25.10960388301885, 22.76043747055056, 20.54050867106783, 18.44664167369741, 16.47595315608002, 14.62582411939589, 12.89387564719943, 11.27794797229848, 9.776082351203093, 8.386505337018709, 7.107615114606355, 5.937969620513643, 4.876276217692584, 3.921382733663933, 3.072269702163107, 2.32804367315631, 1.687931473399793, 1.151275302397469, 0.717528502719347, 0.3862515546624128, 0.1571057090578798, 0.02981114049223409, 17.30672054522232, 12.75258508033161, 10.66671691339465, 9.361310858144561, 8.42635503281747, 7.703802216802666, 7.117368758747775, 6.62484340692083, 6.200599639466457, 5.827996180824312, 5.495658627137607, 5.195492448436375, 4.921546122439899, 4.669324153397073, 4.435352950287116, 4.216896051828678, 4.011761306701588, 3.818166712855926, 3.634644835963868, 3.459973284768714, 3.293123202171247, 3.133220473358053, 2.979516078364979, 2.831363130294607, 2.688198875396375, 2.549530426098757, 2.414923337438966, 2.283992373947748, 2.156393981551114, 2.031820099299186, 1.9099930331733, 1.790661178566127, 1.673595425899871, 1.558586119826745, 1.445440469755451, 1.333980330346104, 1.224040286752041, 1.115465991955834, 1.008112713445913, 0.901844054431698, 0.7965308215125088, 0.6920500173017001, 0.5882839458752098, 0.4851194421753004, 0.3824473288609156, 0.2801627338571398, 0.1781716761070828, 0.07650872946392152 }, - { 0.14, 169.9722312952472, 155.3977791352191, 143.8351881162123, 133.9020466134415, 125.0630474188399, 117.0391631938232, 109.6613426328015, 102.8172166497611, 96.42721685693395, 90.4323487515326, 84.78731497829468, 79.45636618993086, 74.41065699653098, 69.62648557284345, 65.08407870323753, 60.76672769553229, 56.66015797148149, 52.75205895805264, 49.03172678911037, 45.48978818570003, 42.11798391041637, 38.90899670953647, 35.85631299877422, 32.95411050494284, 30.19716612854024, 27.58077974294899, 25.10071068771685, 22.75312447253256, 20.53454776916824, 18.44183018785939, 16.47211165161639, 14.62279442426153, 12.89151903501001, 11.27614348811202, 9.774725260569546, 8.385505681661774, 7.106896360456653, 5.937467385760628, 4.875937070140179, 3.921163048021661, 3.072134569027587, 2.327965852374994, 1.68789038528942, 1.151256050937775, 0.7175209253770741, 0.386249293936611, 0.157105301187003, 0.02981111704082253, 17.22130757057383, 12.69573992202187, 10.62305919557653, 9.325848971516018, 8.396672260946868, 7.678490719404143, 7.095514302911798, 6.605808056567099, 6.183914863333037, 5.813304401015332, 5.482678673057458, 5.18399788489796, 4.911350996304058, 4.660273252358523, 4.427314930142578, 4.209758455831955, 4.005426872593213, 3.812550580071223, 3.629672396971399, 3.455578506837987, 3.289247298974926, 3.1298108409502, 2.976525433858264, 2.828748807985917, 2.685922246646127, 2.547556417534375, 2.413220028054262, 2.282530656087887, 2.15514727406659, 2.030764103636682, 1.909105525065674, 1.789921829442878, 1.672985649273888, 1.558088938803123, 1.445040402512205, 1.333663290998123, 1.223793499460958, 1.115277916514065, 1.007972980861482, 0.90174341128587, 0.7964610820657372, 0.6920040224935023, 0.5882555285071619, 0.4851033976886835, 0.3824393912260209, 0.2801595561832981, 0.1781708156635686, 0.07650863685372409 }, - { 0.15, 169.5352644411883, 155.0343001440767, 143.5247163142235, 133.633511614295, 124.8291088263938, 116.8344591243474, 109.4817267183903, 102.6593599032775, 96.28837488998396, 90.31021448143559, 84.67991982979888, 79.3620107776674, 74.32786071925631, 69.55394887299637, 65.02065411281602, 60.71139715921071, 56.61201476747668, 52.71029305927173, 48.99561284655272, 45.45867554315663, 42.09128821522788, 38.88619279331979, 35.83692878003725, 32.93772172224, 30.18339175473237, 27.56927796253452, 25.09117534303636, 22.74528190295355, 20.52815398156697, 18.43666830785705, 16.46798961384041, 14.61954286693457, 12.88898936982152, 11.27420612090405, 9.773267942097105, 8.384431970744076, 7.10612418435278, 5.936927684685947, 4.875572514569408, 3.920926818864777, 3.071989191966212, 2.327882078649429, 1.687846112062057, 1.151235275052477, 0.7175127249065744, 0.3862468323771058, 0.1571048495339058, 0.02981108927974289, 17.12994016683607, 12.63500852704208, 10.57645035187701, 9.288006674214725, 8.365005439106805, 7.651491270035749, 7.072203739793921, 6.585504188426935, 6.166117058376705, 5.797630867392398, 5.468829404147311, 5.171731423112091, 4.900469157506766, 4.650610690771272, 4.418731779531706, 4.202134999208581, 3.99865959198035, 3.806549170714491, 3.624357471429973, 3.450879802743473, 3.285102261212453, 3.126163486698101, 2.97332543442129, 2.825950738965459, 2.683484970375255, 2.545442570560986, 2.411395592883921, 2.280964601128942, 2.153811249246389, 2.029632181816776, 1.908153981410887, 1.789128952459931, 1.672331578448481, 1.557555524715888, 1.44461108606649, 1.333322998992628, 1.223528554222457, 1.115075957695991, 1.007822897832826, 0.9016352847970083, 0.7963861340950972, 0.6919545733607498, 0.5882249604919578, 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2.659616549812784e-14, 3.024167899627312e-13, 2.819652079225163e-12, 2.216796323181164e-11, 1.499872565001213e-10, 8.869991851056464e-10, 4.64119915065754e-09, 2.16992018828218e-08, 9.138465325027712e-08, 3.490221698295294e-07, 1.215827737667824e-06, 3.882118424732288e-06, 1.141042753750037e-05, 3.098882659889737e-05, 7.802439336897471e-05, 0.0001826768103097695, 0.0003987985134462118, 0.0008138418144482545, 0.001556238280065387, 0.002794809099408579, 0.00472431284098831, 0.007533732487377794, 0.01135980965137043, 0.01623613639883886, 0.02205429450743949, 0.02855403157905356, 0.0353521728916218, 0.04200669617194052, 0.04809870595593309, 0.05330755538882858, 0.0574569817139488, 0.06052163869877835, 0.06259814934435953, 0.0638559182496851, 0.06448617887993441, 0.06466332151263489, 0.06452422542526694, 0.06416370227958688, 0.06364009983736888, 0.06298483393599072, 0.06221156101134265, 0.06132306075063899, 0.06031558473519722, 0.05918121484540619, 0.05790892219826393, 0.05648487034229407, 0.05489230259088996, 0.05311119628584853, 0.05111777662530786, 0.04888394874597583, 0.04637671815796455, 0.0435577280884122, 0.04038316636578707, 0.03680452019279209, 0.03277102836553095, 0.02823520079651139, 0.02316325510560307, 0.01755204823125432, 0.01145166326949854, 0.004992496376815105 }, }; class LewisCV : public ext::function { @@ -257,6 +199,7 @@ namespace QuantLib { / (u*u + 0.25); } + private: const ext::shared_ptr analyticEngine_; const Real t_, freq_, sigmaBS_; }; @@ -265,11 +208,15 @@ namespace QuantLib { std::vector ExponentialFittingHestonEngine::moneyness_; ExponentialFittingHestonEngine::ExponentialFittingHestonEngine( - const ext::shared_ptr& model, Real scaling) + const ext::shared_ptr& model, + ControlVariate cv, + Real scaling) : GenericModelEngine(model), - scaling_(scaling) { + cv_(cv), + scaling_(scaling), + analyticEngine_(ext::make_shared(model, 1)) { if (moneyness_.empty()) { const Size n = sizeof(values4)/sizeof(values4[0]); @@ -312,14 +259,15 @@ namespace QuantLib { const Real theta = model_->theta(); const Real v0 = model_->v0(); - const Real vAvg = (1-std::exp(-kappa*t))*(v0-theta)/(kappa*t) + theta; + const Real vAvg = (cv_ == AndersenPiterbarg) + ? (1-std::exp(-kappa*t))*(v0-theta)/(kappa*t) + theta + : -8.0*std::log(analyticEngine_->chF( + std::complex(0, -0.5), t).real())/t; const Real bsPrice = BlackCalculator( Option::Call, strike, fwd, std::sqrt(vAvg*t), rd).value(); - const LewisCV helper( - ext::make_shared(model_.currentLink(), 1), - t, freq, std::sqrt(vAvg)); + const LewisCV helper(analyticEngine_, t, freq, std::sqrt(vAvg)); const Real scalingFactor = (scaling_ == Null()) ? std::max(0.01, std::min(10.0, 0.25/std::sqrt(0.5*vAvg*t))) @@ -358,7 +306,7 @@ namespace QuantLib { s += w_i*u*helper(u*x_i); } - const Real h_cv = s * std::sqrt(strike * fwd)*rd/M_PI; + const Real h_cv = s * std::sqrt(strike * fwd)*rd/M_PI; switch (payoff->optionType()) { diff --git a/ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp b/ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp index f158a8dda29..74e68702ca0 100644 --- a/ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp +++ b/ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp @@ -31,6 +31,7 @@ #include namespace QuantLib { + class AnalyticHestonEngine; //! analytic Heston-model engine based on // exponentially fitted Gauss-Laguerre quadrature @@ -44,19 +45,26 @@ namespace QuantLib { https://wordpress.com/post/hpcquantlib.wordpress.com/4557 */ + class ExponentialFittingHestonEngine : public GenericModelEngine { public: + enum ControlVariate { AndersenPiterbarg, AndersenPiterbargOptCV }; + explicit ExponentialFittingHestonEngine( const ext::shared_ptr& model, + ControlVariate cv = AndersenPiterbargOptCV, Real scaling = Null()); void calculate() const; private: + const ControlVariate cv_; const Real scaling_; + const ext::shared_ptr analyticEngine_; + static std::vector moneyness_; }; } diff --git a/test-suite/hestonmodel.cpp b/test-suite/hestonmodel.cpp index c44a1ce1bca..78ef0fe37f7 100644 --- a/test-suite/hestonmodel.cpp +++ b/test-suite/hestonmodel.cpp @@ -3095,6 +3095,44 @@ void HestonModelTest::testExponentialFitting4StrikesAndMaturities() { } } +namespace { + class HestonIntegrationMaxBoundTestFct { + public: + explicit HestonIntegrationMaxBoundTestFct(Real maxBound) + : maxBound_(maxBound), + callCounter_(ext::make_shared(Size(0))) {} + + Real operator()() { + ++(*callCounter_); + return maxBound_; + } + + Size getCallCounter() const { + return *callCounter_; + } + private: + const Real maxBound_; + const ext::shared_ptr callCounter_; + }; +} + +void HestonModelTest::testHestonEngineIntegration() { + BOOST_TEST_MESSAGE("Testing Heston engine integration signature..."); + + const AnalyticHestonEngine::Integration integration = + AnalyticHestonEngine::Integration::gaussLobatto(1e-12, 1e-12); + + const Real c1 = integration.calculate(1.0, square(), 1.0); + + HestonIntegrationMaxBoundTestFct testFct(1.0); + const Real c2 = integration.calculate(1.0, square(), testFct); + + if (testFct.getCallCounter() == 0 || + std::fabs(c1 - 1/3.) > 1e-10 || std::fabs(c2 - 1/3.) > 1e-10) { + BOOST_ERROR("failed to test Heston engine integration signature"); + } +} + test_suite* HestonModelTest::suite(SpeedLevel speed) { test_suite* suite = BOOST_TEST_SUITE("Heston model tests"); @@ -3139,6 +3177,8 @@ test_suite* HestonModelTest::suite(SpeedLevel speed) { &HestonModelTest::testSmallSigmaExpansion4ExpFitting)); suite->add(QUANTLIB_TEST_CASE( &HestonModelTest::testExponentialFitting4StrikesAndMaturities)); + suite->add(QUANTLIB_TEST_CASE(&HestonModelTest::testHestonEngineIntegration)); + if (speed <= Fast) { suite->add(QUANTLIB_TEST_CASE( diff --git a/test-suite/hestonmodel.hpp b/test-suite/hestonmodel.hpp index 93a79c85b73..a7bcfe6a682 100644 --- a/test-suite/hestonmodel.hpp +++ b/test-suite/hestonmodel.hpp @@ -57,6 +57,7 @@ class HestonModelTest { static void testSmallSigmaExpansion(); static void testSmallSigmaExpansion4ExpFitting(); static void testExponentialFitting4StrikesAndMaturities(); + static void testHestonEngineIntegration(); static boost::unit_test_framework::test_suite* suite(SpeedLevel); static boost::unit_test_framework::test_suite* experimental(); From 8d7460b73d3405adf8e93e7b336fc1b26296c678 Mon Sep 17 00:00:00 2001 From: Klaus Spanderen Date: Wed, 27 May 2020 01:12:16 +0200 Subject: [PATCH 2/5] correct merge --- ql/pricingengines/vanilla/analytichestonengine.cpp | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/ql/pricingengines/vanilla/analytichestonengine.cpp b/ql/pricingengines/vanilla/analytichestonengine.cpp index ba1f85f891a..e434c07932f 100644 --- a/ql/pricingengines/vanilla/analytichestonengine.cpp +++ b/ql/pricingengines/vanilla/analytichestonengine.cpp @@ -36,7 +36,6 @@ #include #include - #if defined(QL_PATCH_MSVC) #pragma warning(disable: 4180) #endif @@ -775,9 +774,10 @@ namespace QuantLib { } Real AnalyticHestonEngine::Integration::calculate( - Real c_inf, - const ext::function& f, - Real maxBound) const { + Real c_inf, + const ext::function& f, + const ext::function& maxBound) const { + Real retVal; switch(intAlgo_) { From 2db18d2b74907dca4e62a486dce691c2d4ba0947 Mon Sep 17 00:00:00 2001 From: Klaus Spanderen Date: Wed, 27 May 2020 01:16:03 +0200 Subject: [PATCH 3/5] fixed reference --- .../vanilla/analytichestonengine.cpp | 67 ++++++++----------- .../vanilla/analytichestonengine.hpp | 10 +-- test-suite/hestonmodel.cpp | 11 +-- 3 files changed, 38 insertions(+), 50 deletions(-) diff --git a/ql/pricingengines/vanilla/analytichestonengine.cpp b/ql/pricingengines/vanilla/analytichestonengine.cpp index e434c07932f..c8165e95d90 100644 --- a/ql/pricingengines/vanilla/analytichestonengine.cpp +++ b/ql/pricingengines/vanilla/analytichestonengine.cpp @@ -126,40 +126,30 @@ namespace QuantLib { // helper class for integration class AnalyticHestonEngine::Fj_Helper { public: - Fj_Helper(const VanillaOption::arguments& arguments, - const ext::shared_ptr& model, - const AnalyticHestonEngine* engine, - ComplexLogFormula cpxLog, - Time term, - Real ratio, - Size j); - - Fj_Helper(Real kappa, - Real theta, - Real sigma, - Real v0, - Real s0, - Real rho, - const AnalyticHestonEngine* engine, - ComplexLogFormula cpxLog, - Time term, - Real strike, - Real ratio, - Size j); - - Fj_Helper(Real kappa, - Real theta, - Real sigma, - Real v0, - Real s0, - Real rho, - ComplexLogFormula cpxLog, - Time term, - Real strike, - Real ratio, - Size j); - - Real operator()(Real phi) const; + Fj_Helper(const VanillaOption::arguments& arguments, + const ext::shared_ptr& model, + const AnalyticHestonEngine* const engine, + ComplexLogFormula cpxLog, + Time term, Real ratio, Size j); + + Fj_Helper(Real kappa, Real theta, Real sigma, + Real v0, Real s0, Real rho, + const AnalyticHestonEngine* const engine, + ComplexLogFormula cpxLog, + Time term, + Real strike, + Real ratio, + Size j); + + Fj_Helper(Real kappa, Real theta, Real sigma, + Real v0, Real s0, Real rho, + ComplexLogFormula cpxLog, + Time term, + Real strike, + Real ratio, + Size j); + + Real operator()(Real phi) const; private: const Size j_; @@ -268,8 +258,8 @@ namespace QuantLib { std::sqrt(t1*t1 - sigma2_*phi *std::complex(-phi, (j_== 1)? 1 : -1)); const std::complex ex = std::exp(-d*term_); - const std::complex addOnTerm = - engine_ != 0 ? engine_->addOnTerm(phi, term_, j_) : Real(0.0); + const std::complex addOnTerm + = engine_ ? engine_->addOnTerm(phi, term_, j_) : Real(0.0); if (cpxLog_ == Gatheral) { if (phi != 0.0) { @@ -756,9 +746,10 @@ namespace QuantLib { } Size AnalyticHestonEngine::Integration::numberOfEvaluations() const { - if (integrator_ != 0) { + if (integrator_) { return integrator_->numberOfEvaluations(); - } else if (gaussianQuadrature_ != 0) { + } + else if (gaussianQuadrature_) { return gaussianQuadrature_->order(); } else { diff --git a/ql/pricingengines/vanilla/analytichestonengine.hpp b/ql/pricingengines/vanilla/analytichestonengine.hpp index 0094f1d38e7..6a7502052fb 100644 --- a/ql/pricingengines/vanilla/analytichestonengine.hpp +++ b/ql/pricingengines/vanilla/analytichestonengine.hpp @@ -127,15 +127,11 @@ namespace QuantLib { Real spotPrice, Real strikePrice, Real term, - Real kappa, - Real theta, - Real sigma, - Real v0, - Real rho, + Real kappa, Real theta, Real sigma, Real v0, Real rho, const TypePayoff& type, const Integration& integration, - ComplexLogFormula cpxLog, - const AnalyticHestonEngine* enginePtr, + const ComplexLogFormula cpxLog, + const AnalyticHestonEngine* const enginePtr, Real& value, Size& evaluations); diff --git a/test-suite/hestonmodel.cpp b/test-suite/hestonmodel.cpp index 78ef0fe37f7..d773e0fa2a5 100644 --- a/test-suite/hestonmodel.cpp +++ b/test-suite/hestonmodel.cpp @@ -2563,8 +2563,8 @@ void HestonModelTest::testPiecewiseTimeDependentComparison() { Real priceS = 0.0; for (Size j=0; j < 2; ++j) { - const sample_type& path1 = - (j & 1) != 0u ? firstPathGen.antithetic() : firstPathGen.next(); + const sample_type& path1 = (j&1) ? firstPathGen.antithetic() + : firstPathGen.next(); const Real spot1 = path1.value[0].back(); const Real v1 = path1.value[1].back(); @@ -2887,7 +2887,7 @@ void HestonModelTest::testSmallSigmaExpansion4ExpFitting() { const Real kappas[] = { 0.5, 1.0, 4.0 }; const Real thetas[] = { 0.04, 0.09}; const Real v0s[] = { 0.025, 0.20 }; - const Integer maturities[] = { 1, 31, 182, 1850 }; + const Real maturities[] = { 1, 31, 182, 1850 }; for (Size m=0; m < LENGTH(maturities); ++m) { const Date maturityDate = todaysDate + Period(maturities[m], Days); @@ -3058,8 +3058,9 @@ void HestonModelTest::testExponentialFitting4StrikesAndMaturities() { for (Size k=0; k < 2; ++k) { const ext::shared_ptr payoff = - ext::make_shared((k) != 0u ? Option::Put : Option::Call, - strike); + ext::make_shared( + (k) ? Option::Put : Option::Call, + strike); VanillaOption option(payoff, exercise); option.setPricingEngine(engine); From e866b321ac5f49b97157c0cc6e2b9648799b0e95 Mon Sep 17 00:00:00 2001 From: Klaus Spanderen Date: Wed, 27 May 2020 01:18:39 +0200 Subject: [PATCH 4/5] Revert "fixed reference" This reverts commit 2db18d2b74907dca4e62a486dce691c2d4ba0947. --- .../vanilla/analytichestonengine.cpp | 67 +++++++++++-------- .../vanilla/analytichestonengine.hpp | 10 ++- test-suite/hestonmodel.cpp | 11 ++- 3 files changed, 50 insertions(+), 38 deletions(-) diff --git a/ql/pricingengines/vanilla/analytichestonengine.cpp b/ql/pricingengines/vanilla/analytichestonengine.cpp index c8165e95d90..e434c07932f 100644 --- a/ql/pricingengines/vanilla/analytichestonengine.cpp +++ b/ql/pricingengines/vanilla/analytichestonengine.cpp @@ -126,30 +126,40 @@ namespace QuantLib { // helper class for integration class AnalyticHestonEngine::Fj_Helper { public: - Fj_Helper(const VanillaOption::arguments& arguments, - const ext::shared_ptr& model, - const AnalyticHestonEngine* const engine, - ComplexLogFormula cpxLog, - Time term, Real ratio, Size j); - - Fj_Helper(Real kappa, Real theta, Real sigma, - Real v0, Real s0, Real rho, - const AnalyticHestonEngine* const engine, - ComplexLogFormula cpxLog, - Time term, - Real strike, - Real ratio, - Size j); - - Fj_Helper(Real kappa, Real theta, Real sigma, - Real v0, Real s0, Real rho, - ComplexLogFormula cpxLog, - Time term, - Real strike, - Real ratio, - Size j); - - Real operator()(Real phi) const; + Fj_Helper(const VanillaOption::arguments& arguments, + const ext::shared_ptr& model, + const AnalyticHestonEngine* engine, + ComplexLogFormula cpxLog, + Time term, + Real ratio, + Size j); + + Fj_Helper(Real kappa, + Real theta, + Real sigma, + Real v0, + Real s0, + Real rho, + const AnalyticHestonEngine* engine, + ComplexLogFormula cpxLog, + Time term, + Real strike, + Real ratio, + Size j); + + Fj_Helper(Real kappa, + Real theta, + Real sigma, + Real v0, + Real s0, + Real rho, + ComplexLogFormula cpxLog, + Time term, + Real strike, + Real ratio, + Size j); + + Real operator()(Real phi) const; private: const Size j_; @@ -258,8 +268,8 @@ namespace QuantLib { std::sqrt(t1*t1 - sigma2_*phi *std::complex(-phi, (j_== 1)? 1 : -1)); const std::complex ex = std::exp(-d*term_); - const std::complex addOnTerm - = engine_ ? engine_->addOnTerm(phi, term_, j_) : Real(0.0); + const std::complex addOnTerm = + engine_ != 0 ? engine_->addOnTerm(phi, term_, j_) : Real(0.0); if (cpxLog_ == Gatheral) { if (phi != 0.0) { @@ -746,10 +756,9 @@ namespace QuantLib { } Size AnalyticHestonEngine::Integration::numberOfEvaluations() const { - if (integrator_) { + if (integrator_ != 0) { return integrator_->numberOfEvaluations(); - } - else if (gaussianQuadrature_) { + } else if (gaussianQuadrature_ != 0) { return gaussianQuadrature_->order(); } else { diff --git a/ql/pricingengines/vanilla/analytichestonengine.hpp b/ql/pricingengines/vanilla/analytichestonengine.hpp index 6a7502052fb..0094f1d38e7 100644 --- a/ql/pricingengines/vanilla/analytichestonengine.hpp +++ b/ql/pricingengines/vanilla/analytichestonengine.hpp @@ -127,11 +127,15 @@ namespace QuantLib { Real spotPrice, Real strikePrice, Real term, - Real kappa, Real theta, Real sigma, Real v0, Real rho, + Real kappa, + Real theta, + Real sigma, + Real v0, + Real rho, const TypePayoff& type, const Integration& integration, - const ComplexLogFormula cpxLog, - const AnalyticHestonEngine* const enginePtr, + ComplexLogFormula cpxLog, + const AnalyticHestonEngine* enginePtr, Real& value, Size& evaluations); diff --git a/test-suite/hestonmodel.cpp b/test-suite/hestonmodel.cpp index d773e0fa2a5..78ef0fe37f7 100644 --- a/test-suite/hestonmodel.cpp +++ b/test-suite/hestonmodel.cpp @@ -2563,8 +2563,8 @@ void HestonModelTest::testPiecewiseTimeDependentComparison() { Real priceS = 0.0; for (Size j=0; j < 2; ++j) { - const sample_type& path1 = (j&1) ? firstPathGen.antithetic() - : firstPathGen.next(); + const sample_type& path1 = + (j & 1) != 0u ? firstPathGen.antithetic() : firstPathGen.next(); const Real spot1 = path1.value[0].back(); const Real v1 = path1.value[1].back(); @@ -2887,7 +2887,7 @@ void HestonModelTest::testSmallSigmaExpansion4ExpFitting() { const Real kappas[] = { 0.5, 1.0, 4.0 }; const Real thetas[] = { 0.04, 0.09}; const Real v0s[] = { 0.025, 0.20 }; - const Real maturities[] = { 1, 31, 182, 1850 }; + const Integer maturities[] = { 1, 31, 182, 1850 }; for (Size m=0; m < LENGTH(maturities); ++m) { const Date maturityDate = todaysDate + Period(maturities[m], Days); @@ -3058,9 +3058,8 @@ void HestonModelTest::testExponentialFitting4StrikesAndMaturities() { for (Size k=0; k < 2; ++k) { const ext::shared_ptr payoff = - ext::make_shared( - (k) ? Option::Put : Option::Call, - strike); + ext::make_shared((k) != 0u ? Option::Put : Option::Call, + strike); VanillaOption option(payoff, exercise); option.setPricingEngine(engine); From 020c28ceb73f8b7d2bdfd9bca771915ecdb81ad3 Mon Sep 17 00:00:00 2001 From: Klaus Spanderen Date: Wed, 27 May 2020 01:20:13 +0200 Subject: [PATCH 5/5] fixed reference --- ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp b/ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp index 74e68702ca0..db32b02d054 100644 --- a/ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp +++ b/ql/pricingengines/vanilla/exponentialfittinghestonengine.hpp @@ -42,7 +42,7 @@ namespace QuantLib { integrals over an unbounded interval For adaptation details see - https://wordpress.com/post/hpcquantlib.wordpress.com/4557 + https://hpcquantlib.wordpress.com/2020/05/17/optimized-heston-model-integration-exponentially-fitted-gauss-laguerre-quadrature-rule/ */