Spreadsheet: 239160d1369835988-question-about-addin-and-a-special-function-bfes_interest
Sheet: Continuous TS models

[NAME]
Function Names
CIRZero |  | Computes price of zero coupon bond assuming [NAME], Ingersoll and [NAME] interest rate model
CIRCouponBond |  | Computes price of coupon bond assuming [NAME], Ingersoll and [NAME] interest rate model
CIRZeroCall |  | Computes price of call option on zero coupon bond assuming [NAME], Ingersoll and [NAME] interest rate model
CIRCouponCall |  | Computes price of call option on coupon bond assuming [NAME], Ingersoll and [NAME] interest rate model
VasicekZero |  | Computes price of zero coupon bond assuming Vasicek interest rate model
VasicekCouponBond |  | Computes price of coupon bond assuming Vasicek interest rate model
VasicekZeroCall |  | Computes price of call option on zero coupon bond assuming Vasicek interest rate model
VasicekCouponCall |  | Computes price of call option on coupon bond assuming Vasicek interest rate model
Example - valuing and hedging a callable bond
Maturity | 20 | years
Callable in | 1 | years
Coupon rate | 0.08
K | 1
Term [NAME] (CIR)
[NAME] | 0.0001
mu | 0.06
sigma | 0.075
 |  | 20 yr |  | Callable
 |  | Bond | Call | Bond
r | 1 yr bond | 20yr bond | Option | Callable
0 | 1.079996761630343 | 2.598354124537569 | 1.518357353738597 | 1.079996770798972
0.01 | 1.069261160920569 | 2.325876288474141 | 1.256614496311471 | 1.06926179216267
0.02 | 1.058632276385041 | 2.08618158395292 | 1.027544924234442 | 1.058636659718478
0.03 | 1.048109047222212 | 1.875115746949951 | 0.8270096770396735 | 1.048106069910277
0.04 | 1.037690423175327 | 1.689064505378704 | 0.6514809718689107 | 1.037583533509794
0.05 | 1.027375364427604 | 1.524882345940077 | 0.4983052106116127 | 1.026577135328465
0.06 | 1.017162841498458 | 1.379830766999843 | 0.3662324070225864 | 1.013598359977256
0.07 | 1.007051835140751 | 1.251524746017872 | 0.2556404377640945 | 0.995884308253777
0.08 | 0.9970413362390732 | 1.137886321278498 | 0.1676481079521689 | 0.9702382133263292
0.09 | 0.9871303457090237 | 1.037104335757133 | 0.1024333586155125 | 0.9346709771416203
0.09999999999999999 | 0.9773178743975024 | 0.9475995190401474 | 0.05801855562897489 | 0.8895809634111725
0.11 | 0.9676029429839875 | 0.8679941940029122 | 0.03039654746219681 | 0.8375976465407154
0.12 | 0.9579845818827954 | 0.7970859907864541 | 0.01473515046684986 | 0.7823508403196043
0.13 | 0.9484618311463131 | 0.7338250335206391 | 0.006621707216403018 | 0.7272033263042361
0.14 | 0.9390337403691916 | 0.6772941369703538 | 0.002766364007117625 | 0.6745277729632362
0.15 | 0.9296993685934917 | 0.6266916123430459 | 0.001077935581228294 | 0.6256136767618177
0.16 | 0.9204577842147736 | 0.5813163351982015 | 0.0003932274211258967 | 0.5809231077770756
0.17 | 0.9113080648891192 | 0.5405547748717896 | 0.0001347760614460123 | 0.5404199988103436
0.18 | 0.9022492974410781 | 0.503869725048116 | 4.354987249519007e-05 | 0.5038261751756208
0.19 | 0.8932805777725304 | 0.4707905099223663 | 1.331269814792409e-05 | 0.4707771972242183
0.2 | 0.8844010107724538 | 0.4409044705294576 | 3.861700319122772e-06 | 0.4409006088291385
0.21 | 0.8756097102275883 | 0.4138495618998678 | 1.066225465404138e-06 | 0.4138484956744024
0.2200000000000001 | 0.8669057987339887 | 0.3893079142867317 | 2.809630504607121e-07 | 0.3893076333236812
0.2300000000000001 | 0.8582884076094571 | 0.3670002312626371 | 7.083654251789468e-08 | 0.3670001604260946
0.2400000000000001 | 0.8497566768068447 | 0.346680914417368 | 1.712783532490301e-08 | 0.3466808972895327
0.2500000000000001 | 0.8413097548282162 | 0.328133819052336 | 3.980408933335161e-09 | 0.328133815071927
0.2600000000000001 | 0.8329467986398668 | 0.311168557968873 | 8.908499646038218e-10 | 0.3111685570780231
0.2700000000000001 | 0.8246669735881845 | 0.2956172814499999 | 1.923710672628077e-10 | 0.2956172812576289
0.2800000000000001 | 0.8164694533163499 | 0.281331871067133 | 1.152767926088158e-09 | 0.2813318699143651
0.2900000000000001 | 0.8083534196818598 | 0.2681814932020369 | 1.220216547930384e-10 | 0.2681814930800153
0.3000000000000001 | 0.800318062674877 | 0.2560504653310917 | 3.079582671574856e-23 | 0.2560504653310917
0.3100000000000001 | 0.792362580337386 | 0.2448363943215255 | 8.415699323791618e-25 | 0.2448363943215255
0.3200000000000001 | 0.7844861786831558 | 0.2344485513656119 | 8.88250430343335e-27 | 0.2344485513656119
0.3300000000000001 | 0.7766880716184961 | 0.224806452839673 | 1.996441864387924e-28 | 0.224806452839673
0.3400000000000001 | 0.7689674808638038 | 0.2158386204158933 | 3.871064436761691e-30 | 0.2158386204158933
0.3500000000000001 | 0.7613236358758867 | 0.2074814972593492 | 2.91072428695912e-32 | 0.2074814972593492
0.3600000000000002 | 0.7537557737710605 | 0.19967850018208 | 4.9407981713897e-34 | 0.19967850018208
0.3700000000000002 | 0.7462631392490111 | 0.1923791902625974 | 2.957232927794595e-36 | 0.1923791902625974
0.3800000000000002 | 0.7388449845174119 | 0.185538546726736 | 4.328806961172736e-38 | 0.185538546726736
0.3900000000000002 | 0.7315005692172915 | 0.1791163308707475 | 2.082475290802572e-40 | 0.1791163308707475
0.4000000000000002 | 0.724229160349144 | 0.1730765285303718 | 2.568806203510971e-42 | 0.1730765285303718
0.4100000000000002 | 0.7170300321997719 | 0.1673868610951687 | 2.976504447879242e-44 | 0.1673868610951687
0.4200000000000002 | 0.7099024662698583 | 0.1620183563659239 | 1.025197992917927e-46 | 0.1620183563659239
0.4300000000000002 | 0.7028457512022572 | 0.1569449716806267 | 1.034107362409149e-48 | 0.1569449716806267
0.4400000000000002 | 0.6958591827109978 | 0.1521432627140467 | 3.08307206725949e-51 | 0.1521432627140467
0.4500000000000002 | 0.688942063510994 | 0.1475920922069611 | 2.669234347833216e-53 | 0.1475920922069611
0.4600000000000002 | 0.6820937032484532 | 0.1432723736206338 | 2.206459873252598e-55 | 0.1432723736206338
0.4700000000000003 | 0.675313418431976 | 0.1391668453549777 | 5.108058876425387e-58 | 0.1391668453549777
0.4800000000000003 | 0.6686005323643417 | 0.1352598717277275 | 3.645273804824429e-60 | 0.1352598717277275
0.4900000000000003 | 0.6619543750749711 | 0.1315372673979921 | 6.738120639362682e-63 | 0.1315372673979921
0.5000000000000002 | 0.655374283253061 | 0.1279861423403673 | 4.545570159697103e-65 | 0.1279861423403673
0.5100000000000002 | 0.6488596001813839 | 0.1245947648436747 | 2.70220662778552e-67 | 0.1245947648436747
0.5200000000000002 | 0.642409675670744 | 0.1213524403286009 | 3.969833942252298e-70 | 0.1213524403286009
0.5300000000000002 | 0.6360238659950876 | 0.118249404057293 | 2.223190109656265e-72 | 0.118249404057293
0.5400000000000003 | 0.6297015338272552 | 0.1152767260507519 | 2.77848366542655e-75 | 0.1152767260507519
0.5500000000000003 | 0.6234420481753754 | 0.1124262267413851 | 1.331860752981193e-77 | 0.1124262267413851
0.5600000000000003 | 0.6172447843198885 | 0.1096904020724046 | 6.326921012477712e-80 | 0.1096904020724046
0.5700000000000003 | 0.6111091237511975 | 0.1070623569164504 | 6.419818888745063e-83 | 0.1070623569164504
0.5800000000000003 | 0.6050344541079393 | 0.1045357458259555 | 2.619618886492303e-85 | 0.1045357458259555
0.5900000000000003 | 0.5990201691158679 | 0.1021047202500232 | 2.434156224529461e-88 | 0.1021047202500232
0.6000000000000003 | 0.5930656685273462 | 0.0997638814592885 | 8.865963749447082e-91 | 0.0997638814592885
0.6100000000000003 | 0.5871703580614392 | 0.09750823851338764 | 6.775482834060055e-94 | 0.09750823851338764
0.6200000000000003 | 0.581333649344603 | 0.09533317068703107 | 2.388352061813456e-96 | 0.09533317068703107
0.6300000000000003 | 0.5755549598519618 | 0.09323439384177362 | 7.501598267880709e-99 | 0.09323439384177362
0.6400000000000003 | 0.5698337128491716 | 0.09120793029273361 | 4.773779433349561e-102 | 0.09120793029273361
0.6500000000000004 | 0.5641693373348579 | 0.08925008177387708 | 1.461109611405397e-104 | 0.08925008177387708
0.6600000000000004 | 0.5585612679836294 | 0.08735740515305081 | 8.061361441258295e-108 | 0.08735740515305081
0.6700000000000004 | 0.5530089450896558 | 0.08552669058959489 | 2.12147847955468e-110 | 0.08552669058959489
0.6800000000000004 | 0.5475118145108069 | 0.08375494186384337 | 5.670620982450419e-113 | 0.08375494186384337
0.6900000000000004 | 0.5420693276133473 | 0.08203935863978708 | 2.664331106694498e-116 | 0.08203935863978708
0.7000000000000004 | 0.5366809412171807 | 0.08037732045020578 | 6.076169990618243e-119 | 0.08037732045020578
0.7100000000000004 | 0.5313461175416394 | 0.07876637221816846 | 2.536191749528578e-122 | 0.07876637221816846
0.7200000000000004 | 0.5260643241518104 | 0.07720421115038846 | 5.69415397979541e-125 | 0.07720421115038846
0.7300000000000004 | 0.5208350339053974 | 0.07568867485688488 | 1.229234344284239e-127 | 0.07568867485688488
0.7400000000000004 | 0.5156577249001099 | 0.07421773056806666 | 4.070065835203646e-131 | 0.07421773056806666
0.7500000000000004 | 0.5105318804215752 | 0.07278946533501596 | 8.096819491598288e-134 | 0.07278946533501596
0.7600000000000005 | 0.5054569888917687 | 0.07140207711164656 | 2.573234720187352e-137 | 0.07140207711164656
0.7700000000000005 | 0.5004325438179563 | 0.07005386662877422 | 4.678337034532135e-140 | 0.07005386662877422
0.7800000000000005 | 0.4954580437421449 | 0.06874322998014851 | 1.254190792218792e-143 | 0.06874322998014851
0.7900000000000005 | 0.4905329921910346 | 0.06746865184932423 | 2.126214687672662e-146 | 0.06746865184932423
0.8000000000000005 | 0.4856568976264694 | 0.06622869931404464 | 3.477133605160186e-149 | 0.06622869931404464
0.8100000000000005 | 0.4808292733963792 | 0.06502201617169039 | 8.489046698084271e-153 | 0.06502201617169039
0.8200000000000005 | 0.4760496376862109 | 0.0638473177354326 | 1.288917649577595e-155 | 0.0638473177354326
0.8300000000000005 | 0.4713175134708412 | 0.06270338605611032 | 2.670235374663565e-159 | 0.06270338605611032
0.8400000000000005 | 0.4666324284669673 | 0.06158906552961697 | 3.768296402729897e-162 | 0.06158906552961697
0.8500000000000005 | 0.4619939150859722 | 0.06050325885380328 | 5.134938418191738e-165 | 0.06050325885380328
0.8600000000000005 | 0.4574015103872571 | 0.05944492330264775 | 9.351968278037172e-169 | 0.05944492330264775
0.8700000000000006 | 0.452854756032038 | 0.05841306728876942 | 1.18612969795249e-171 | 0.05841306728876942
0.8800000000000006 | 0.4483531982376024 | 0.05740674718831072 | 2.072147217829534e-175 | 0.05740674718831072
0.8900000000000006 | 0.4438963877320198 | 0.05642506440484308 | 2.455026317200877e-178 | 0.05642506440484308
0.9000000000000006 | 0.439483879709303 | 0.05546716265128504 | 2.816327027336124e-181 | 0.05546716265128504
0.9100000000000006 | 0.435115233785014 | 0.05453222543090468 | 4.055281991611937e-185 | 0.05453222543090468
0.9200000000000006 | 0.4307900139523135 | 0.05361947370033417 | 4.386619310570866e-188 | 0.05361947370033417
0.9300000000000006 | 0.426507788538444 | 0.0527281636991813 | 6.144325089765932e-192 | 0.0527281636991813
0.9400000000000006 | 0.4222681301616489 | 0.05185758493230346 | 6.17738329180589e-195 | 0.05185758493230346
0.9500000000000006 | 0.4180706156885174 | 0.05100705829213364 | 7.426563164597614e-199 | 0.05100705829213364
0.9600000000000006 | 0.4139148261917545 | 0.05017593430963301 | 6.997478531413252e-202 | 0.05017593430963301
0.9700000000000006 | 0.40980034690837 | 0.04936359152350769 | 6.397451896605679e-205 | 0.04936359152350769
0.9800000000000006 | 0.4057267671982846 | 0.04856943495827929 | 6.824120855202947e-209 | 0.04856943495827929
0.9900000000000007 | 0.4016936805033458 | 0.04779289470265558 | 5.908028619812028e-212 | 0.04779289470265558
1.000000000000001 | 0.397700684306752 | 0.04703342458041627 | 6.174230900047396e-216 | 0.04703342458041627
1.010000000000001 | 0.39374738009288 | 0.04629050090672149 | 4.994074791325847e-219 | 0.04629050090672149
1.020000000000001 | 0.3898333733075117 | 0.04556362132337433 | 3.925646915280229e-222 | 0.04556362132337433
1.030000000000001 | 0.3859582733184561 | 0.04485230370713063 | 3.430337996734569e-226 | 0.04485230370713063
1.040000000000001 | 0.3821216933765628 | 0.04415608514565789 | 2.539547438600923e-229 | 0.04415608514565789
1.050000000000001 | 0.3783232505771223 | 0.04347452097620261 | 2.185440803363538e-233 | 0.04347452097620261
1.060000000000001 | 0.3745625658216527 | 0.0428071838824424 | 1.538976905960645e-236 | 0.0428071838824424
1.070000000000001 | 0.3708392637800618 | 0.04215366304537264 | 1.048233265691433e-239 | 0.04215366304537264
1.080000000000001 | 0.3671529728531894 | 0.04151356334442068 | 7.574863443133515e-244 | 0.04151356334442068
1.090000000000001 | 0.3635033251357201 | 0.04088650460528775 | 4.870032471933808e-247 | 0.04088650460528775
1.100000000000001 | 0.3598899563794645 | 0.04027212089130152 | 3.261434978875816e-251 | 0.04027212089130152
1.110000000000001 | 0.3563125059570061 | 0.03967005983531583 | 1.982585645712693e-254 | 0.03967005983531583
1.120000000000001 | 0.3527706168257101 | 0.03907998200942889 | 1.265523351718696e-257 | 0.03907998200942889
1.130000000000001 | 0.3492639354920878 | 0.03850156033000093 | 7.628193660755313e-262 | 0.03850156033000093
1.140000000000001 | 0.3457921119765179 | 0.0379344794956474 | 4.288234543747543e-265 | 0.0379344794956474
1.150000000000001 | 0.3423547997783171 | 0.03737843545605943 | 2.403571476747275e-269 | 0.03737843545605943
1.160000000000001 | 0.338951655841157 | 0.03683313490966478 | 1.279884356648295e-272 | 0.03683313490966478
1.170000000000001 | 0.3355823405188273 | 0.03629829482829037 | 6.679636369594464e-277 | 0.03629829482829037
1.180000000000001 | 0.332246517541337 | 0.03577364200712243 | 3.630998391138922e-280 | 0.03577364200712243
1.190000000000001 | 0.3289438539813535 | 0.03525891263838425 | 1.793010519443287e-283 | 0.03525891263838425
1.200000000000001 | 0.3256740202209751 | 0.03475385190726542 | 8.47498600057359e-288 | 0.03475385190726542
1.210000000000001 | 0.3224366899188348 | 0.03425821360874073 | 3.977737139479845e-291 | 0.03425821360874073
1.220000000000001 | 0.319231539977529 | 0.03377175978401268 | 1.755748081757017e-295 | 0.03377175978401268
1.230000000000001 | 0.3160582505113721 | 0.0332942603754004 | 8.37696611258798e-299 | 0.0332942603754004
1.240000000000001 | 0.3129165048144704 | 0.03282549289857868 | 3.676908813188965e-302 | 0.03282549289857868
1.250000000000001 | 0.3098059893291136 | 0.03236524213114576 | 1.475797067149182e-306 | 0.03236524213114576
1.260000000000001 | 0.306726393614481 | 0.03191329981656791 | 6.1298974970478e-310 | 0.03191329981656791
1.270000000000001 | 0.3036774103156577 | 0.03146946438261269 | 2.2975364197e-314 | 0.03146946438261269
1.280000000000001 | 0.3006587351329602 | 0.03103354067344121 | 7.1322e-318 | 0.03103354067344121
1.290000000000001 | 0.2976700667915656 | 0.03060533969458508 | 2.96e-321 | 0.03060533969458508
1.300000000000001 | 0.2947111070114437 | 0.0301846783700835 | 0 | 0.0301846783700835
1.310000000000001 | 0.2917815604775871 | 0.02977137931110316 | 0 | 0.02977137931110316
1.320000000000001 | 0.2888811348105383 | 0.02936527059540667 | 0 | 0.02936527059540667
1.330000000000001 | 0.2860095405372085 | 0.02896618555707547 | 0 | 0.02896618555707547
1.340000000000001 | 0.2831664910619875 | 0.02857396258593067 | 0 | 0.02857396258593067
1.350000000000001 | 0.2803517026381405 | 0.02818844493612966 | 0 | 0.02818844493612966
1.360000000000001 | 0.2775648943394887 | 0.02780948054344878 | 0 | 0.02780948054344878
1.370000000000001 | 0.2748057880323724 | 0.02743692185079192 | 0 | 0.02743692185079192
1.380000000000001 | 0.2720741083478918 | 0.02707062564149356 | 0 | 0.02707062564149356
1.390000000000001 | 0.2693695826544245 | 0.02671045288000977 | 0 | 0.02671045288000977
1.400000000000001 | 0.2666919410304153 | 0.02635626855961551 | 0 | 0.02635626855961551
1.410000000000001 | 0.264040916237438 | 0.02600794155674938 | 0 | 0.02600794155674938
1.420000000000001 | 0.2614162436935232 | 0.02566534449166706 | 0 | 0.02566534449166706
1.430000000000001 | 0.2588176614467522 | 0.02532835359508565 | 0 | 0.02532835359508565
1.440000000000001 | 0.2562449101491137 | 0.02499684858051821 | 0 | 0.02499684858051821
1.450000000000001 | 0.2536977330306193 | 0.02467071252201622 | 0 | 0.02467071252201622
1.460000000000001 | 0.2511758758736773 | 0.02434983173705258 | 0 | 0.02434983173705258
1.470000000000001 | 0.2486790869877207 | 0.02403409567429382 | 0 | 0.02403409567429382
1.480000000000001 | 0.2462071171840879 | 0.02372339680602361 | 0 | 0.02372339680602361
1.490000000000001 | 0.2437597197511522 | 0.0234176305249932 | 0 | 0.0234176305249932
1.500000000000001 | 0.2413366504296994 | 0.02311669504548656 | 0 | 0.02311669504548656
1.510000000000001 | 0.2389376673885499 | 0.02282049130839985 | 0 | 0.02282049130839985
1.520000000000001 | 0.2365625312004227 | 0.02252892289014567 | 0 | 0.02252892289014567
1.530000000000001 | 0.2342110048180403 | 0.02224189591520235 | 0 | 0.02224189591520235
1.540000000000001 | 0.2318828535504701 | 0.02195931897213905 | 0 | 0.02195931897213905
1.550000000000001 | 0.229577845039701 | 0.02168110303295537 | 0 | 0.02168110303295537
1.560000000000001 | 0.2272957492374543 | 0.02140716137558357 | 0 | 0.02140716137558357
1.570000000000001 | 0.225036338382223 | 0.02113740950940896 | 0 | 0.02113740950940896
1.580000000000001 | 0.2227993869765408 | 0.02087176510367168 | 0 | 0.02087176510367168
1.590000000000001 | 0.2205846717644767 | 0.02061014791862018 | 0 | 0.02061014791862018
1.600000000000001 | 0.2183919717093532 | 0.02035247973929343 | 0 | 0.02035247973929343
1.610000000000001 | 0.2162210679716858 | 0.02009868431181492 | 0 | 0.02009868431181492
1.620000000000001 | 0.2140717438873423 | 0.01984868728208769 | 0 | 0.01984868728208769
1.630000000000001 | 0.211943784945919 | 0.01960241613678518 | 0 | 0.01960241613678518
1.640000000000001 | 0.2098369787693311 | 0.01935980014653768 | 0 | 0.01935980014653768
1.650000000000001 | 0.2077511150906176 | 0.01912077031121966 | 0 | 0.01912077031121966
1.660000000000001 | 0.2056859857329552 | 0.01888525930724716 | 0 | 0.01888525930724716
1.670000000000001 | 0.2036413845888814 | 0.01865320143679976 | 0 | 0.01865320143679976
1.680000000000001 | 0.2016171075997249 | 0.01842453257888521 | 0 | 0.01842453257888521
1.690000000000001 | 0.1996129527352392 | 0.01819919014216878 | 0 | 0.01819919014216878
1.700000000000001 | 0.1976287199734394 | 0.01797711301949356 | 0 | 0.01797711301949356
1.710000000000001 | 0.1956642112806395 | 0.01775824154402108 | 0 | 0.01775824154402108
1.720000000000001 | 0.1937192305916873 | 0.017542517446925 | 0 | 0.017542517446925
1.730000000000001 | 0.1917935837903973 | 0.01732988381657416 | 0 | 0.01732988381657416
1.740000000000001 | 0.1898870786901763 | 0.01712028505914371 | 0 | 0.01712028505914371
1.750000000000001 | 0.1879995250148432 | 0.01691366686059638 | 0 | 0.01691366686059638
1.760000000000001 | 0.1861307343796381 | 0.01670997614997836 | 0 | 0.01670997614997836
1.770000000000001 | 0.1842805202724214 | 0.01650916106397708 | 0 | 0.01650916106397708
1.780000000000001 | 0.1824486980350586 | 0.01631117091269008 | 0 | 0.01631117091269008
1.790000000000001 | 0.1806350848449915 | 0.01611595614655729 | 0 | 0.01611595614655729
1.800000000000001 | 0.178839499696991 | 0.01592346832441026 | 0 | 0.01592346832441026
1.810000000000001 | 0.1770617633850929 | 0.01573366008259482 | 0 | 0.01573366008259482
1.820000000000001 | 0.1753016984847117 | 0.01554648510512499 | 0 | 0.01554648510512499
1.830000000000001 | 0.1735591293349337 | 0.01536189809482819 | 0 | 0.01536189809482819
1.840000000000001 | 0.1718338820209852 | 0.01517985474544343 | 0 | 0.01517985474544343
1.850000000000001 | 0.1701257843568746 | 0.01500031171463573 | 0 | 0.01500031171463573
1.860000000000001 | 0.1684346658682085 | 0.01482322659789202 | 0 | 0.01482322659789202
Duration
 |  | 20 yr |  | Callable
 |  | Bond | Call | Bond
r | 1/4 yr bond | 20yr bond | Option | Callable
0 | 0.9940400833765505 | 10.4865550653886 | 17.23855433522593 | 0.9939824753697839
0.01 | 0.9940400833765413 | 10.30556550703173 | 18.22910468957779 | 0.9936885917060758
0.02 | 0.9940400833765775 | 10.11732816675716 | 19.51595910457877 | 0.9947312622823079
0.03 | 0.9940400833765533 | 9.9221203743756 | 21.22450438537519 | 1.003957204577995
0.04 | 0.9940400833765541 | 9.720301321577756 | 23.51193171734256 | 1.060772248774821
0.05 | 0.9940400833765523 | 9.51231282376814 | 26.50439946773223 | 1.264276682633825
0.06 | 0.9940400833765506 | 9.298678073467388 | 30.19721006056993 | 1.747640132712613
0.07 | 0.9940400833765458 | 9.079998226239681 | 34.4203485886396 | 2.57520825610926
0.08 | 0.9940400833765466 | 8.856946747380666 | 38.89978248681615 | 3.665825123788057
0.09 | 0.9940400833765598 | 8.630261549494238 | 43.35970584860963 | 4.824158964295709
0.09999999999999999 | 0.9940400833765517 | 8.40073506135481 | 47.60892074497536 | 5.843573436095435
0.11 | 0.9940400833765601 | 8.169202479276054 | 51.52360482658278 | 6.59586454776716
0.12 | 0.9940400833765619 | 7.936528554892543 | 55.06182830436592 | 7.048949291450815
0.13 | 0.99404008337654 | 7.703593359178488 | 58.22279788715353 | 7.243579812637202
0.14 | 0.9940400833765607 | 7.471277524069688 | 61.03421030439753 | 7.251605962277321
0.15 | 0.9940400833765516 | 7.240447494613405 | 63.52032273785603 | 7.143476980244563
0.16 | 0.9940400833765457 | 7.011941323223621 | 65.7256706411473 | 6.972197942291981
0.17 | 0.9940400833765604 | 6.786555503533317 | 67.68723464097141 | 6.771367402257287
0.18 | 0.9940400833765481 | 6.565033277716949 | 69.43114322689588 | 6.559599238741891
0.19 | 0.9940400833765546 | 6.348054763855985 | 70.99235424544683 | 6.34622674403885
0.2 | 0.9940400833765483 | 6.136229146667771 | 72.38974085782127 | 6.135648854415519
0.21 | 0.9940400833765637 | 5.930089064362477 | 73.64881447900727 | 5.929914596096238
0.2200000000000001 | 0.9940400833765536 | 5.730087215145744 | 74.78795079931687 | 5.730037376133231
0.2300000000000001 | 0.9940400833765572 | 5.536595106592165 | 75.82062207429699 | 5.536581540719441
0.2400000000000001 | 0.9940400833765457 | 5.3499037857917 | 76.76058382259303 | 5.349900257733547
0.2500000000000001 | 0.9940400833765527 | 5.170226321827867 | 77.61913462852705 | 5.170225442990419
0.2600000000000001 | 0.9940400833765727 | 4.997701766651094 | 78.40589606484863 | 4.99770155648948
0.2700000000000001 | 0.9940400833765203 | 4.832400295678618 | -499.2418415568195 | 4.832400623701733
0.2800000000000001 | 0.9940400833765721 | 4.674329223779295 | 89.41489852106557 | 4.674328876551624
0.2900000000000001 | 0.9940400833765511 | 4.523439602823841 | 99.99999999997469 | 4.52343955938233
0.3000000000000001 | 0.9940400833765561 | 4.37963313015874 | 97.26725981365253 | 4.37963313015874
0.3100000000000001 | 0.9940400833765325 | 4.242769129442442 | 98.94453164714157 | 4.242769129442442
0.3200000000000001 | 0.9940400833765776 | 4.112671402649195 | 97.75238851996241 | 4.112671402649195
0.3300000000000001 | 0.9940400833765501 | 3.989134791506793 | 98.0610182015249 | 3.989134791506793
0.3400000000000001 | 0.9940400833765538 | 3.871931325562136 | 99.24808167507685 | 3.871931325562136
0.3500000000000001 | 0.9940400833765672 | 3.760815870494488 | 98.30255369994123 | 3.760815870494488
0.3600000000000002 | 0.994040083376548 | 3.655531222854041 | 99.4014665596099 | 3.655531222854041
0.3700000000000002 | 0.9940400833765366 | 3.55581262532809 | 98.53619682085669 | 3.55581262532809
0.3800000000000002 | 0.9940400833765602 | 3.461391699616614 | 99.51892627472611 | 3.461391699616614
0.3900000000000002 | 0.9940400833765458 | 3.371999812085294 | 98.7664649780689 | 3.371999812085294
0.4000000000000002 | 0.9940400833765699 | 3.287370900904458 | 98.84128882754516 | 3.287370900904458
0.4100000000000002 | 0.9940400833765598 | 3.207243802840954 | 99.65556980986584 | 3.207243802840954
0.4200000000000002 | 0.9940400833765488 | 3.131364123851995 | 98.99130961087236 | 3.131364123851995
0.4300000000000002 | 0.9940400833765478 | 3.059485700727734 | 99.7018615107741 | 3.059485700727734
0.4400000000000002 | 0.9940400833765544 | 2.991371701841006 | 99.13422901262047 | 2.991371701841006
0.4500000000000002 | 0.9940400833765428 | 2.926795414126922 | 99.17337349002574 | 2.926795414126922
0.4600000000000002 | 0.994040083376559 | 2.865540761212602 | 99.76849527433747 | 2.865540761212602
0.4700000000000003 | 0.9940400833765598 | 2.807402594550881 | 99.28636809147825 | 2.807402594550881
0.4800000000000003 | 0.9940400833765506 | 2.752186795821316 | 99.81515460840149 | 2.752186795821316
0.4900000000000003 | 0.9940400833765761 | 2.699710224996666 | 99.32539495758807 | 2.699710224996666
0.5000000000000002 | 0.9940400833765393 | 2.649800544557084 | 99.40552966231941 | 2.649800544557084
0.5100000000000002 | 0.9940400833765618 | 2.602295946496444 | 99.85308917899043 | 2.602295946496444
0.5200000000000002 | 0.9940400833765329 | 2.557044805119256 | 99.43997906663188 | 2.557044805119256
0.5300000000000002 | 0.9940400833765609 | 2.513905275244154 | 99.87502266885049 | 2.513905275244154
0.5400000000000003 | 0.9940400833765451 | 2.472744852340697 | 99.52065194064153 | 2.472744852340697
0.5500000000000003 | 0.9940400833765394 | 2.433439908353173 | 99.5249562690156 | 2.433439908353173
0.5600000000000003 | 0.9940400833765726 | 2.395875214514634 | 99.89853170481993 | 2.395875214514634
0.5700000000000003 | 0.9940400833765644 | 2.35994346030192 | 99.59194816366464 | 2.35994346030192
0.5800000000000003 | 0.9940400833765569 | 2.32554477583176 | 99.9070797573997 | 2.32554477583176
0.5900000000000003 | 0.9940400833765367 | 2.292586263399713 | 99.63576849915773 | 2.292586263399713
0.6000000000000003 | 0.9940400833765559 | 2.260981542524824 | 99.92357872166474 | 2.260981542524824
0.6100000000000003 | 0.9940400833765427 | 2.230650311725133 | 99.64750083199858 | 2.230650311725133
0.6200000000000003 | 0.9940400833765699 | 2.201517929312882 | 99.68590902539775 | 2.201517929312882
0.6300000000000003 | 0.9940400833765295 | 2.17351501472631 | 99.93636316871572 | 2.17351501472631
0.6400000000000003 | 0.9940400833765773 | 2.146577071284011 | 99.69393022199591 | 2.146577071284011
0.6500000000000004 | 0.9940400833765729 | 2.12064413074885 | 99.9448271274219 | 2.12064413074885
0.6600000000000004 | 0.9940400833765449 | 2.095660419684503 | 99.73683372281292 | 2.095660419684503
0.6700000000000004 | 0.9940400833765376 | 2.071574047280003 | 99.73270428915013 | 2.071574047280003
0.6800000000000004 | 0.994040083376539 | 2.048336714083378 | 99.95301517920267 | 2.048336714083378
0.6900000000000004 | 0.9940400833765761 | 2.025903440906778 | 99.77194388582735 | 2.025903440906778
0.7000000000000004 | 0.994040083376542 | 2.004232317044348 | 99.95826002640727 | 2.004232317044348
0.7100000000000004 | 0.994040083376561 | 1.983284266860856 | 99.77548409023663 | 1.983284266860856
0.7200000000000004 | 0.9940400833765497 | 1.963022833756334 | 99.78412344509009 | 1.963022833756334
0.7300000000000004 | 0.9940400833765629 | 1.94341398049251 | 99.966889423045 | 1.94341398049251
0.7400000000000004 | 0.9940400833765548 | 1.924425904859497 | 99.80106416408381 | 1.924425904859497
0.7500000000000004 | 0.9940400833765398 | 1.90602886967763 | 99.9682191912162 | 1.90602886967763
0.7600000000000005 | 0.9940400833765595 | 1.888195046152839 | 99.81819237095503 | 1.888195046152839
0.7700000000000005 | 0.9940400833765496 | 1.870898369637423 | 99.97319152547229 | 1.870898369637423
0.7800000000000005 | 0.9940400833765575 | 1.854114406891193 | 99.83047119299033 | 1.854114406891193
0.7900000000000005 | 0.9940400833765448 | 1.83782023397879 | 99.83646366355563 | 1.83782023397879
0.8000000000000005 | 0.9940400833765649 | 1.821994323989932 | 99.97558607847131 | 1.821994323989932
0.8100000000000005 | 0.9940400833765562 | 1.806616443814959 | 99.84816697381707 | 1.806616443814959
0.8200000000000005 | 0.9940400833765504 | 1.79166755925824 | 99.97928311885907 | 1.79166755925824
0.8300000000000005 | 0.9940400833765474 | 1.777129747819674 | 99.85887774394394 | 1.777129747819674
0.8400000000000005 | 0.9940400833765648 | 1.762986118520591 | 99.86373316030885 | 1.762986118520591
0.8500000000000005 | 0.9940400833765384 | 1.749220738196643 | 99.98178757461832 | 1.749220738196643
0.8600000000000005 | 0.9940400833765555 | 1.735818563723112 | 99.87316790832804 | 1.735818563723112
0.8700000000000006 | 0.9940400833765536 | 1.722765379677601 | 99.98253018011927 | 1.722765379677601
0.8800000000000006 | 0.9940400833765753 | 1.71004774098668 | 99.88152259182752 | 1.71004774098668
0.8900000000000006 | 0.9940400833765372 | 1.697652920137066 | 99.88528322455828 | 1.697652920137066
0.9000000000000006 | 0.9940400833765664 | 1.685568858566259 | 99.98560081285918 | 1.685568858566259
0.9100000000000006 | 0.9940400833765358 | 1.673784121880415 | 99.89182948757576 | 1.673784121880415
0.9200000000000006 | 0.9940400833765581 | 1.662287858575742 | 99.98599302867473 | 1.662287858575742
0.9300000000000006 | 0.9940400833765599 | 1.651069761967365 | 99.8994619717941 | 1.651069761967365
0.9400000000000006 | 0.994040083376558 | 1.640120035053942 | 99.98797781712122 | 1.640120035053942
0.9500000000000006 | 0.9940400833765467 | 1.629429358071414 | 99.90577770125519 | 1.629429358071414
0.9600000000000006 | 0.9940400833765523 | 1.618988858508146 | 99.9085748978308 | 1.618988858508146
0.9700000000000006 | 0.9940400833765677 | 1.608790083375935 | 99.98933306421752 | 1.608790083375935
0.9800000000000006 | 0.994040083376545 | 1.598824973547148 | 99.91342432607546 | 1.598824973547148
0.9900000000000007 | 0.9940400833765434 | 1.589085839985974 | 99.9895494228322 | 1.589085839985974
1.000000000000001 | 0.9940400833765678 | 1.579565341716829 | 99.9191142205049 | 1.579565341716829
1.010000000000001 | 0.994040083376576 | 1.570256465385587 | 99.92139391019728 | 1.570256465385587
1.020000000000001 | 0.9940400833765354 | 1.561152506284178 | 99.99126172559376 | 1.561152506284178
1.030000000000001 | 0.9940400833765165 | 1.552247050717388 | 99.92596801128572 | 1.552247050717388
1.040000000000001 | 0.9940400833765874 | 1.543533959604886 | 99.99139436905108 | 1.543533959604886
1.050000000000001 | 0.9940400833765344 | 1.535007353216174 | 99.92958048080763 | 1.535007353216174
1.060000000000001 | 0.9940400833765586 | 1.526661596951712 | 99.93188765460789 | 1.526661596951712
1.070000000000001 | 0.9940400833765565 | 1.518491288083271 | 99.99277368531304 | 1.518491288083271
1.080000000000001 | 0.9940400833765528 | 1.510491243381069 | 99.93570798327255 | 1.510491243381069
1.090000000000001 | 0.9940400833765424 | 1.502656487555987 | 99.9933030529104 | 1.502656487555987
1.100000000000001 | 0.9940400833765686 | 1.49498224245679 | 99.93921124724066 | 1.49498224245679
1.110000000000001 | 0.9940400833765354 | 1.487463916960432 | 99.93616803619773 | 1.487463916960432
1.120000000000001 | 0.9940400833765631 | 1.480097097507373 | 99.99397230114283 | 1.480097097507373
1.130000000000001 | 0.994040083376572 | 1.472877539229644 | 99.9437844038253 | 1.472877539229644
1.140000000000001 | 0.9940400833765372 | 1.4658011576296 | 99.99439496265362 | 1.4658011576296
1.150000000000001 | 0.9940400833765682 | 1.45886402076856 | 99.94675072619924 | 1.45886402076856
1.160000000000001 | 0.994040083376553 | 1.452062341927015 | 99.99478106257412 | 1.452062341927015
1.170000000000001 | 0.9940400833765402 | 1.445392472703793 | 99.94564077757776 | 1.445392472703793
1.180000000000001 | 0.9940400833765516 | 1.438850896522349 | 99.9506193524122 | 1.438850896522349
1.190000000000001 | 0.994040083376576 | 1.432434222514841 | 99.99527332053616 | 1.432434222514841
1.200000000000001 | 0.9940400833765346 | 1.426139179758322 | 99.95306497097202 | 1.426139179758322
1.210000000000001 | 0.9940400833765493 | 1.419962611838967 | 99.99558606308003 | 1.419962611838967
1.220000000000001 | 0.9940400833765618 | 1.413901471721135 | 99.95228833680842 | 1.413901471721135
1.230000000000001 | 0.994040083376539 | 1.407952816900736 | 99.95610691551359 | 1.407952816900736
1.240000000000001 | 0.9940400833765628 | 1.402113804825314 | 99.99598631039778 | 1.402113804825314
1.250000000000001 | 0.9940400833765345 | 1.3963816885613 | 99.95846381841032 | 1.3963816885613
1.260000000000001 | 0.9940400833765597 | 1.390753812693466 | #N/A | 1.390753812693466
1.270000000000001 | 0.9940400833765617 | 1.385227609442038 | #N/A | 1.385227609442038
1.280000000000001 | 0.9940400833765469 | 1.379800594982027 | #N/A | 1.379800594982027
1.290000000000001 | 0.9940400833765437 | 1.374470365953844 | #N/A | 1.374470365953844
1.300000000000001 | 0.9940400833765906 | 1.369234596151813 | #N/A | 1.369234596151813
1.310000000000001 | 0.9940400833765436 | 1.364091033380628 | #N/A | 1.364091033380628
1.320000000000001 | 0.994040083376562 | 1.359037496469127 | #N/A | 1.359037496469127
1.330000000000001 | 0.994040083376551 | 1.354071872431924 | #N/A | 1.354071872431924
1.340000000000001 | 0.9940400833765469 | 1.349192113770161 | #N/A | 1.349192113770161
1.350000000000001 | 0.9940400833765474 | 1.344396235902855 | #N/A | 1.344396235902855
1.360000000000001 | 0.9940400833765697 | 1.339682314722822 | #N/A | 1.339682314722822
1.370000000000001 | 0.9940400833765457 | 1.335048484266402 | #N/A | 1.335048484266402
1.380000000000001 | 0.9940400833765358 | 1.330492934495471 | #N/A | 1.330492934495471
1.390000000000001 | 0.9940400833765585 | 1.326013909181336 | #N/A | 1.326013909181336
1.400000000000001 | 0.9940400833765555 | 1.321609703886012 | #N/A | 1.321609703886012
1.410000000000001 | 0.9940400833765555 | 1.31727866403715 | #N/A | 1.31727866403715
1.420000000000001 | 0.994040083376553 | 1.313019183088808 | #N/A | 1.313019183088808
1.430000000000001 | 0.9940400833765615 | 1.308829700765695 | #N/A | 1.308829700765695
1.440000000000001 | 0.9940400833765404 | 1.304708701384753 | #N/A | 1.304708701384753
1.450000000000001 | 0.9940400833765455 | 1.300654712251553 | #N/A | 1.300654712251553
1.460000000000001 | 0.9940400833765796 | 1.296666302126071 | #N/A | 1.296666302126071
1.470000000000001 | 0.994040083376552 | 1.292742079755144 | #N/A | 1.292742079755144
1.480000000000001 | 0.9940400833765592 | 1.288880692468004 | #N/A | 1.288880692468004
1.490000000000001 | 0.9940400833765535 | 1.285080824831809 | #N/A | 1.285080824831809
1.500000000000001 | 0.9940400833765459 | 1.281341197363483 | #N/A | 1.281341197363483
1.510000000000001 | 0.9940400833765491 | 1.277660565295829 | #N/A | 1.277660565295829
1.520000000000001 | 0.9940400833765647 | 1.274037717395125 | #N/A | 1.274037717395125
1.530000000000001 | 0.9940400833765357 | 1.270471474826712 | #N/A | 1.270471474826712
1.540000000000001 | 0.9940400833765576 | 1.26696069006814 | #N/A | 1.26696069006814
1.550000000000001 | 0.9940400833765467 | 1.263504245865244 | #N/A | 1.263504245865244
1.560000000000001 | 0.9940400833765504 | 1.260101054230748 | #N/A | 1.260101054230748
1.570000000000001 | 0.9940400833765548 | 1.256750055483536 | #N/A | 1.256750055483536
1.580000000000001 | 0.9940400833765576 | 1.253450217324845 | #N/A | 1.253450217324845
1.590000000000001 | 0.9940400833765561 | 1.250200533951322 | #N/A | 1.250200533951322
1.600000000000001 | 0.994040083376549 | 1.247000025203395 | #N/A | 1.247000025203395
1.610000000000001 | 0.9940400833765823 | 1.243847735745914 | #N/A | 1.243847735745914
1.620000000000001 | 0.9940400833765475 | 1.240742734280273 | #N/A | 1.240742734280273
1.630000000000001 | 0.9940400833765564 | 1.237684112787549 | #N/A | 1.237684112787549
1.640000000000001 | 0.9940400833765504 | 1.234670985799248 | #N/A | 1.234670985799248
1.650000000000001 | 0.9940400833765328 | 1.231702489696822 | #N/A | 1.231702489696822
1.660000000000001 | 0.9940400833765556 | 1.228777782036299 | #N/A | 1.228777782036299
1.670000000000001 | 0.9940400833765729 | 1.225896040898514 | #N/A | 1.225896040898514
1.680000000000001 | 0.994040083376545 | 1.223056464263698 | #N/A | 1.223056464263698
1.690000000000001 | 0.9940400833765488 | 1.220258269408667 | #N/A | 1.220258269408667
1.700000000000001 | 0.9940400833765359 | 1.217500692325563 | #N/A | 1.217500692325563
1.710000000000001 | 0.9940400833765738 | 1.214782987163007 | #N/A | 1.214782987163007
1.720000000000001 | 0.994040083376544 | 1.21210442568553 | #N/A | 1.21210442568553
1.730000000000001 | 0.9940400833765527 | 1.209464296754207 | #N/A | 1.209464296754207
1.740000000000001 | 0.9940400833765412 | 1.206861905824312 | #N/A | 1.206861905824312
1.750000000000001 | 0.9940400833765631 | 1.204296574461636 | #N/A | 1.204296574461636
1.760000000000001 | 0.9940400833765707 | 1.201767639875092 | #N/A | 1.201767639875092
1.770000000000001 | 0.9940400833765675 | 1.199274454466429 | #N/A | 1.199274454466429
1.780000000000001 | 0.9940400833765305 | 1.196816385394592 | #N/A | 1.196816385394592
1.790000000000001 | 0.994040083376583 | 1.194392814156124 | #N/A | 1.194392814156124
1.800000000000001 | 0.994040083376519 | 1.192003136178992 | #N/A | 1.192003136178992
1.810000000000001 | 0.9940400833765475 | 1.189646760431091 | #N/A | 1.189646760431091
1.820000000000001 | 0.9940400833765822 | 1.187323109041205 | #N/A | 1.187323109041205
1.830000000000001 | 0.9940400833765405 | 1.185031616933107 | #N/A | 1.185031616933107
1.840000000000001 | 0.9940400833765495 | 1.182771731472582 | #N/A | 1.182771731472582
1.850000000000001 | 0.9940400833765406 | 1.180542912124448 | #N/A | 1.180542912124448
1.860000000000001 | -0.5376344086021501 | -0.5376344086021501 | #N/A | -0.5376344086021501