# gnuplot datafile
#
# the following parameters have been used:
# mu     = 0.2 
# sigma  = 0.35 
# S_0    = 1 
#
# --------------------
# spot data
# --------------------
# spot path 0 
0 1
0.0027397260273973 1.0127645447834
0.0054794520547945 1.0307763683229
0.0082191780821918 1.0402912328258
0.010958904109589 1.0511454739848
0.013698630136986 1.0848507693626
0.016438356164384 1.1253919595472
0.019178082191781 1.153386074931
0.021917808219178 1.1441113381857
0.024657534246575 1.1527265023942
0.027397260273973 1.1409272103887
0.03013698630137 1.1520395381665
0.032876712328767 1.1392516377659
0.035616438356164 1.1014572252924
0.038356164383562 1.0717199549878
0.041095890410959 1.0488346355667
0.043835616438356 1.0385493574142
0.046575342465753 1.0421213444556
0.049315068493151 1.0511316024055
0.052054794520548 1.0783968117446
0.054794520547945 1.0831375549311
0.057534246575342 1.0834442246996
0.06027397260274 1.087621761749
0.063013698630137 1.0704968736337
0.065753424657534 1.1051488181367
0.068493150684932 1.1001690367182
0.071232876712329 1.1080553456271
0.073972602739726 1.0972873782567
0.076712328767123 1.1347083725444
0.079452054794521 1.12854456572
0.082191780821918 1.1180856589569
0.084931506849315 1.1048430759385
0.087671232876712 1.1085441852607
0.09041095890411 1.0756423279565
0.093150684931507 1.0568071836951
0.095890410958904 1.0570279473032
0.098630136986301 1.0787641352324
0.1013698630137 1.0921526135429
0.1041095890411 1.0888923494875
0.10684931506849 1.06618349518
0.10958904109589 1.0515540192488
0.11232876712329 1.0272778753092
0.11506849315068 1.0659459858247
0.11780821917808 1.037692482683
0.12054794520548 1.0522085874109
0.12328767123288 1.0780297793767
0.12602739726027 1.1050473668473
0.12876712328767 1.1282590738269
0.13150684931507 1.1630843754599
0.13424657534247 1.1226074523404
0.13698630136986 1.1059043796054
0.13972602739726 1.1089050050127
0.14246575342466 1.1117451481364
0.14520547945205 1.0921487391339
0.14794520547945 1.0802300970457
0.15068493150685 1.0785143217824
0.15342465753425 1.0768222319278
0.15616438356164 1.0903283681684
0.15890410958904 1.0952989544125
0.16164383561644 1.1142805258742
0.16438356164384 1.1206169714172
0.16712328767123 1.1318522140184
0.16986301369863 1.1047817912699
0.17260273972603 1.113229249338
0.17534246575342 1.1109586115141
0.17808219178082 1.107500927495
0.18082191780822 1.1146847624896
0.18356164383562 1.1296953136954
0.18630136986301 1.1056527953638
0.18904109589041 1.121208912638
0.19178082191781 1.1075084681848
0.19452054794521 1.1118434794451
0.1972602739726 1.0951074921189
0.2 1.1043660561873
0.2027397260274 1.0709071136087
0.20547945205479 1.0771080526588
0.20821917808219 1.0749946146823
0.21095890410959 1.0950296601636
0.21369863013699 1.1503493991742
0.21643835616438 1.1678048373922
0.21917808219178 1.1562195699567
0.22191780821918 1.1879381027902
0.22465753424658 1.1852284935632
0.22739726027397 1.1961023732907
0.23013698630137 1.1828740152538
0.23287671232877 1.1705443145913
0.23561643835616 1.1567595778975
0.23835616438356 1.1372066731706
0.24109589041096 1.1573528191638
0.24383561643836 1.1481270014425
0.24657534246575 1.1544995402428
0.24931506849315 1.1808240521952
0.25205479452055 1.1821010191235
0.25479452054795 1.1737561277412
0.25753424657534 1.1761526636583
0.26027397260274 1.166617388434
0.26301369863014 1.186387122873
0.26575342465753 1.2097126232218
0.26849315068493 1.2512388377604
0.27123287671233 1.2428302681515
0.27397260273973 1.2538351122522
0.27671232876712 1.2314987692788
0.27945205479452 1.2483613080488
0.28219178082192 1.2664728091661
0.28493150684932 1.275410159269
0.28767123287671 1.2728053880899
0.29041095890411 1.2633103214754
0.29315068493151 1.2601213265395
0.2958904109589 1.2875737119716
0.2986301369863 1.2936097899087
0.3013698630137 1.2738553765148
0.3041095890411 1.2591268250582
0.30684931506849 1.2478062038059
0.30958904109589 1.2339306484257
0.31232876712329 1.2388970668065
0.31506849315068 1.1992531003919
0.31780821917808 1.1763331759774
0.32054794520548 1.2215094965735
0.32328767123288 1.2247040421351
0.32602739726027 1.2378930662292
0.32876712328767 1.2690943536625
0.33150684931507 1.2503722701089
0.33424657534247 1.1986815705787
0.33698630136986 1.1764550726056
0.33972602739726 1.1503516644605
0.34246575342466 1.1704895423955
0.34520547945205 1.1486105554965
0.34794520547945 1.1418091662754
0.35068493150685 1.1413612142951
0.35342465753425 1.1548699202786
0.35616438356164 1.18507449106
0.35890410958904 1.1915694150002
0.36164383561644 1.2016816129695
0.36438356164384 1.1979351010654
0.36712328767123 1.1810040300916
0.36986301369863 1.1837574337796
0.37260273972603 1.1570564086227
0.37534246575342 1.1574802802007
0.37808219178082 1.1494150170671
0.38082191780822 1.0968731291892
0.38356164383562 1.0514861652829
0.38630136986301 1.0747365372089
0.38904109589041 1.0862298216931
0.39178082191781 1.1144099489193
0.39452054794521 1.1360448810652
0.3972602739726 1.1533390784413
0.4 1.1595418627875
0.4027397260274 1.1542057330241
0.40547945205479 1.1496595643529
0.40821917808219 1.1570195974252
0.41095890410959 1.1816597839831
0.41369863013699 1.2032113527098
0.41643835616438 1.2188507742342
0.41917808219178 1.1827720001806
0.42191780821918 1.1972983533312
0.42465753424658 1.1770932908192
0.42739726027397 1.1751063609506
0.43013698630137 1.1777000126858
0.43287671232877 1.1923475986974
0.43561643835616 1.2149943604389
0.43835616438356 1.236869187174
0.44109589041096 1.2202176170521
0.44383561643836 1.2661476904139
0.44657534246575 1.328577245863
0.44931506849315 1.3728346973829
0.45205479452055 1.3714944872308
0.45479452054795 1.3711139492489
0.45753424657534 1.3884744932323
0.46027397260274 1.4160096966811
0.46301369863014 1.4142469905086
0.46575342465753 1.3745202887672
0.46849315068493 1.3852376789163
0.47123287671233 1.3429343860016
0.47397260273973 1.3415513466858
0.47671232876712 1.3552517227486
0.47945205479452 1.3472450971287
0.48219178082192 1.3695613302502
0.48493150684932 1.3539405718383
0.48767123287671 1.3665492075192
0.49041095890411 1.3735283862412
0.49315068493151 1.3899900411795
0.4958904109589 1.3873548585366
0.4986301369863 1.3594038588519
0.5013698630137 1.3740097596968
0.5041095890411 1.4043454935082
0.50684931506849 1.471000649466
0.50958904109589 1.4954309626844
0.51232876712329 1.496414395466
0.51506849315068 1.490629435614
0.51780821917808 1.4843077393077
0.52054794520548 1.4954604668765
0.52328767123288 1.4865420774616
0.52602739726027 1.4408758298482
0.52876712328767 1.4482515887873
0.53150684931507 1.4294917348811
0.53424657534247 1.3843006776309
0.53698630136986 1.3944299546138
0.53972602739726 1.3779959545933
0.54246575342466 1.3804431592427
0.54520547945205 1.3899098856291
0.54794520547945 1.3885953923907
0.55068493150685 1.3571347305655
0.55342465753425 1.3578940543447
0.55616438356164 1.3478516767417
0.55890410958904 1.3762240144797
0.56164383561644 1.3673984962695
0.56438356164384 1.3696567804252
0.56712328767123 1.3579650445259
0.56986301369863 1.3525331071232
0.57260273972603 1.3652506072631
0.57534246575342 1.3910783385032
0.57808219178082 1.4229895077365
0.58082191780822 1.3704766638457
0.58356164383562 1.3290703980325
0.58630136986301 1.2856157750455
0.58904109589041 1.2571647387826
0.59178082191781 1.2221770480497
0.59452054794521 1.2205526122076
0.5972602739726 1.2355264820604
0.6 1.2109836031933
0.6027397260274 1.2035115291825
0.60547945205479 1.1903171210383
0.60821917808219 1.1578509203825
0.61095890410959 1.1462132606348
0.61369863013699 1.1388293422726
0.61643835616438 1.1481781279428
0.61917808219178 1.1414001189662
0.62191780821918 1.1762060474322
0.62465753424658 1.2224215966236
0.62739726027397 1.2180762145019
0.63013698630137 1.2003584509627
0.63287671232877 1.2280527288788
0.63561643835616 1.1747104026482
0.63835616438356 1.174227345021
0.64109589041096 1.1583706583702
0.64383561643836 1.1376252534981
0.64657534246575 1.1002764796305
0.64931506849315 1.096753541639
0.65205479452055 1.1364755109288
0.65479452054795 1.1449300970779
0.65753424657534 1.1521522357484
0.66027397260274 1.1460135065757
0.66301369863014 1.1559719410867
0.66575342465753 1.129017895246
0.66849315068493 1.1302415803526
0.67123287671233 1.150748170489
0.67397260273973 1.1433684577289
0.67671232876712 1.14724081293
0.67945205479452 1.1286899651005
0.68219178082192 1.128393151846
0.68493150684932 1.1352836834668
0.68767123287671 1.1420886217214
0.69041095890411 1.1547379052025
0.69315068493151 1.1522854839617
0.6958904109589 1.171323178111
0.6986301369863 1.1230315745014
0.7013698630137 1.0987188650947
0.7041095890411 1.1098906986397
0.70684931506849 1.1523452569374
0.70958904109589 1.1507552132759
0.71232876712329 1.172213650464
0.71506849315068 1.1698943477788
0.71780821917808 1.1801275599748
0.72054794520548 1.1860598440327
0.72328767123288 1.1952304772804
0.72602739726027 1.1562787167516
0.72876712328767 1.1609538559657
0.73150684931507 1.1458704014424
0.73424657534247 1.1358146833395
0.73698630136986 1.1343670746369
0.73972602739726 1.1384178101782
0.74246575342466 1.1651893628991
0.74520547945205 1.1415102852138
0.74794520547945 1.1602946006189
0.75068493150685 1.1467848103382
0.75342465753425 1.1280561971613
0.75616438356164 1.1375625680427
0.75890410958904 1.1402580393705
0.76164383561644 1.1229971390197
0.76438356164384 1.1280934062887
0.76712328767123 1.135206993406
0.76986301369863 1.1368249454222
0.77260273972603 1.1339069954291
0.77534246575342 1.1116637493216
0.77808219178082 1.1112834830528
0.78082191780822 1.1416935251639
0.78356164383562 1.1254003665749
0.78630136986301 1.123126801884
0.78904109589041 1.1144404972204
0.79178082191781 1.1047712844867
0.79452054794521 1.1237426779665
0.7972602739726 1.1006972998729
0.8 1.0890807614586
0.8027397260274 1.0552923158125
0.80547945205479 1.0470473684558
0.80821917808219 1.0184298823239
0.81095890410959 0.99841836763799
0.81369863013699 0.97671674347141
0.81643835616438 0.9989317164054
0.81917808219178 1.0247910486459
0.82191780821918 1.0060862292341
0.82465753424658 0.98866306834102
0.82739726027397 0.97756477660864
0.83013698630137 0.98926184521768
0.83287671232877 1.0130710001002
0.83561643835616 1.0255783323908
0.83835616438356 1.0713729287372
0.84109589041096 1.087427194308
0.84383561643836 1.0984487125033
0.84657534246575 1.0808884847466
0.84931506849315 1.0484779040934
0.85205479452055 1.0447141637618
0.85479452054795 1.0469825846101
0.85753424657534 1.0407802007453
0.86027397260274 1.056172323333
0.86301369863014 1.0312983049135
0.86575342465753 1.048637660094
0.86849315068493 1.071131608
0.87123287671233 1.0625501030686
0.87397260273973 1.0808858565756
0.87671232876712 1.0671447356798
0.87945205479452 1.0951196244338
0.88219178082192 1.1145321258502
0.88493150684932 1.1314961732589
0.88767123287671 1.1300502969543
0.89041095890411 1.1249046612651
0.89315068493151 1.1369751473644
0.8958904109589 1.1394857327898
0.8986301369863 1.1294701849859
0.9013698630137 1.1295475032181
0.9041095890411 1.1346160160645
0.90684931506849 1.1171428959357
0.90958904109589 1.1349452098777
0.91232876712329 1.1218281690338
0.91506849315068 1.1095692177446
0.91780821917808 1.0833730303191
0.92054794520548 1.0710213038672
0.92328767123288 1.0491831388488
0.92602739726027 1.0990328141349
0.92876712328767 1.0941837335343
0.93150684931507 1.1235826538444
0.93424657534247 1.1290541813473
0.93698630136986 1.0978521837892
0.93972602739726 1.1127184020298
0.94246575342466 1.1370913099695
0.94520547945205 1.1296426145088
0.94794520547945 1.1585784254238
0.95068493150685 1.15180354856
0.95342465753425 1.1651859652375
0.95616438356164 1.1903623357022
0.95890410958904 1.1646459653321
0.96164383561644 1.1576422974898
0.96438356164384 1.149433983494
0.96712328767123 1.115071429163
0.96986301369863 1.109307658964
0.97260273972603 1.1233994813533
0.97534246575342 1.1089640946474
0.97808219178082 1.115211386283
0.98082191780822 1.1553046134331
0.98356164383562 1.1150430321685
0.98630136986301 1.10911233038
0.98904109589041 1.1142614797914
0.99178082191781 1.1211427342158
0.99452054794521 1.1280269951151
0.9972602739726 1.1051967729231