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{"sheet":"Simulation","index":0,"n_rows":493,"n_cols":366,"rows_kept":493,"cut":false,"hidden":false,"merged":[[0,0,0,6]]}
["Monte-Carlo application for Value-at-Risk"]
[]
["Description","Parameter","Value"]
[]
["Spot price at time 0","S0",2000]
["risk-free rate","r",1.5E-3]
["convenience yield (annualised)","q",1E-4]
["volatility in asset price","σ",0.16]
["time in years","t",{"$f":"1/365","v":2.7397260273972603E-3}]
[]
[]
["Simulate Run","random No","Normally scaled random no (zt)","Fixed Price\n(r-q-0.5σ^2)t","Random Price\n(σ*(t^.5)*zt","Change\n(exp(fixed+random)","Simulated asset price\n=S0*change"]
[]
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[2,{"$f":"ROUND(1-RAND(),5)","v":0.97702},{"$f":"NORMINV(B15,0,1)","v":1.9957604836227836},{"$f":"($C$6-$C$7-(0.5*($C$8^2)))*$C$9","v":-3.1232876712328767E-5},{"$f":"$C$8*($C$9^0.5) * C15","v":1.6714060494214068E-2},{"$f":"EXP(D15+E15)","v":1.0168227630761588},{"$f":"G14*F15","v":2048.4240759247355}]
[3,0.99682999999999999,2.7296583113842123,{"$f":"($C$6-$C$7-(0.5*($C$8^2)))*$C$9","v":-3.1232876712328767E-5},2.2860295370811256E-2,1.0230916398659589,{"$f":"G15*F16","v":2095.7255469787492}]
[4,7.152E-2,-1.4645636700822073,-3.1232876712328767E-5,-1.2265402577240778E-2,0.98777865922804531,{"$f":"G16*F17","v":2070.1129709046309}]
[5,0.86099999999999999,1.0848231279419567,-3.1232876712328767E-5,9.0851580311034283E-3,1.0090950359123161,{"$f":"G17*F18","v":2088.9407227175598}]
[6,0.93677999999999995,1.5282922228167157,-3.1232876712328767E-5,1.2799115362093477E-2,1.0128497399079552,2115.7830676876165]
[7,0.46301999999999999,-9.2828259629784513E-2,-3.1232876712328767E-5,-7.7741650852231341E-4,0.99919167748356608,2114.072832594115]
[8,0.57867999999999997,0.19851774822287901,-3.1232876712328767E-5,1.6625430156575322E-3,1.0016326414491581,2117.5243555271472,"Date","Terminal Price"]
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[]
[]
["Terminal Price Scenario",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365]
[]
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{"sheet":"Futures","index":1,"n_rows":216,"n_cols":366,"rows_kept":216,"cut":false,"hidden":false,"merged":[]}
[null,null,"Strike",2020]
[]
["payoff for a long future",null,"Terminal Price - Strike Price"]
["Futures Scenario"]
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[]
["for discounted value","Multiplication factor \n(e^(-1*r*t)",{"$f":"EXP(-1*Simulation!C6*Simulation!C9)","v":0.99999589041940329}]
[]
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[null,null,"Strike",2020]
[]
["payoff for a long call option",null,"Max(Terminal Price - Strike Price, 0)"]
[]
["Futures Scenario"]
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[]
["Average",{"$f":"AVERAGE(B8:B107)","v":17.771095113201955},{"$f":"AVERAGE(C8:C107)","v":19.508483718649128},21.870158976763928,20.591840964673938,20.003186894823731,21.214204855380785,21.92366789143577,22.234533901981013,22.522769151025059,22.168448796433005,21.896862989163619,21.856117377905026,21.415232495568787,22.271892433518151,23.457967367780785,25.237061364429245,26.432460145930104,27.218760260599328,28.248730934901282,29.670417860361951,29.261732784804622,29.619415911047266,28.800575635962716,29.777974928129019,29.790422790650364,28.975527429987025,28.725453198415391,31.429501368773391,31.883290865223238,32.192930827775129,32.429759263709578,30.548818080377451,29.271300381952663,30.524765991028318,31.889987190329872,31.795511467691714,31.337089593270001,32.582358142786781,33.923232327507712,32.885197219187773,33.026662321283297,31.951392897936259,33.387208025151374,34.738803798910538,35.586114732182793,37.995899051568784,39.023602949378031,38.372161357332402,40.637056531216949,39.63998502384753,39.410248000924071,38.677816818959037,39.241868814819902,40.082067027256038,42.7798407213077,46.826560359264079,45.356202853212579,48.550864762378794,49.877056932621784,48.735082457326726,50.431208655816583,50.404271579577127,50.609542752673406,52.253852035667393,52.741901214161409,{"$f":"AVERAGE(BO8:BO107)","v":52.926549235075747},54.614637111065996,54.08801617681975,53.19280871741514,53.739977472131585,54.52521654509723,53.549567358550249,52.758172394233981,56.424309108265376,54.321395036861624,57.872432543455417,59.915567651105412,59.321801970469863,58.623683728314042,58.562239766685892,59.428259533985745,59.975099416381823,59.369453792911301,57.781436077723626,57.053703639748782,56.308914675231009,56.275104035082762,58.500932140472251,57.759464564534611,58.435186415986102,57.36064314603216,56.287996231227865,56.11237137497217,54.578781346013102,55.727695305204698,56.718370383649791,58.057100959472073,56.6922806559691,57.130035061059083,56.782215588092861,58.176112240124247,58.89494143575552,59.718599651339836,61.113196222912286,62.332676539109897,62.803961742553163,63.474099796357642,62.575656770421347,63.591227415742708,64.849196153604737,67.351595341428961,67.613389184468474,67.432248459697121,68.061083072866168,70.459083395842882,70.594919325669665,69.820150203423836,70.203963666199726,69.218075884528545,71.191483964033566,72.883162173697684,70.99212112926061,72.938465170309442,73.513422418967536,71.836594608451236,72.150009691760957,72.667563272540534,71.518248434449674,70.466016175508955,{"$f":"AVERAGE(EA8:EA107)","v":71.361870187685213},69.677955788341123,67.446312720709116,67.556828399644104,69.150147706064615,67.956521952569844,67.185057984205869,68.581066152430225,70.633479787256178,69.966757695083686,69.421597961917939,69.350079686737317,70.075754616161575,67.857756183623124,67.561363815365112,67.083595220007794,67.416384197889286,67.815985503944958,69.537001870394576,67.584611953087176,68.373911527215995,70.886938445753643,72.301525490920454,69.835339684359553,71.225276236203314,71.229602604704539,72.289618604906494,71.228364472351473,69.358474067943746,69.94414451620743,71.63003790622983,72.0332501214789,72.362239636070825,73.096030735354418,74.525913278234711,76.201777905661388,75.743943099088426,74.928920021127638,75.50552210212642,74.304384688026133,76.737282268500053,76.439599044132436,75.364850297991296,73.408936577716403,71.92416179819466,74.073562518384009,75.899891215315208,73.783075550134669,74.133066291860345,73.539063941630559,75.109399073829408,73.389050461603929,72.643797828982187,71.7437437419389,71.932539408991403,69.537691696684192,70.825555754648661,71.879931553896455,71.119598030370966,71.1743913771503,71.178434696224244,72.696596807696494,71.608272606904052,70.057943513252582,{"$f":"AVERAGE(GM8:GM107)","v":67.576361801581086},68.660233761508678,70.086619457441543,68.609440756388935,70.683908170057393,70.608296946029441,69.953013825021429,69.459526087494197,70.310981216152072,69.935952185175793,70.005020904616615,70.213183608670292,70.476010319822436,69.687848340972451,70.821817152972088,70.781580936191531,70.738155955341838,71.429312386828329,72.453012763697018,73.127550540462124,76.969268484317595,74.841449257168819,75.58607028382491,76.891744238654084,78.911970007936674,78.496195828761287,78.823184037599958,78.140695861540081,79.221842377508679,81.546163756925949,81.697472953864434,82.223318549579204,79.699241890848825,78.668623934969403,80.498934097184403,80.63856259448869,81.547587278777314,81.492591287828503,80.392330381723809,78.704314661666814,79.22642102545332,77.608856442633453,78.27687266420007,80.026834234886806,80.180308635453628,79.333783094674146,77.684613175350876,77.314067798012687,77.194230632162942,78.467954059846505,79.947265870233835,78.76152287818087,78.520812456803199,76.445370758595558,75.987020699724582,74.945991520731639,75.600539948880254,76.927500193319645,78.358872449485517,78.211188612452389,78.196941471633636,79.134378881535142,79.5028352349893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[]
["for discounted value","Multiplication factor \n(e^(-1*r*t)",{"$f":"EXP(-1*Simulation!C6*Simulation!C9)","v":0.99999589041940329}]
[]
["Discounted values of Payoffs",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365]
[]
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{"sheet":"Put","index":3,"n_rows":216,"n_cols":366,"rows_kept":216,"cut":false,"hidden":false,"merged":[]}
[null,null,"Strike",2020]
[]
["payoff for a long put option",null,"Max(0, Strike Price-Terminal Price)"]
["Futures Scenario"]
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[]
["Average",{"$f":"AVERAGE(B7:B106)","v":33.697833408772922},{"$f":"AVERAGE(C7:C106)","v":34.105259307747922},37.452761261113956,39.335711786187574,40.485777585160889,39.481822202602579,41.032984229909445,41.244899795694408,41.596761955134063,41.444171816717571,42.675338618714214,43.019935140336372,43.79805128895363,46.158416055812978,44.981302172452317,47.65379722330001,46.02159004433004,47.984299124249098,50.652780381723971,52.248841717461239,51.89820398988865,51.55601332740801,51.055657534629937,49.605944988248083,49.468946896992627,50.611846788559497,51.642337304661034,50.622861956788348,52.455264598903788,53.001203050636931,55.642206856744039,57.643416095196635,57.662451899254521,58.125964117639136,59.703941782823058,60.105178370048868,58.92901384240988,58.713550231967432,58.436822611149111,61.985047673283944,62.724644086420419,61.083399423260829,63.386405852498882,62.589317492513402,62.745063034068238,61.715316884070354,61.928935352035381,62.944503911538185,63.073291205603283,62.780794286240592,63.807348067707323,62.792551066627055,63.866587416974319,64.198526668728405,65.54327472364983,63.662686960850912,65.102884455156683,66.935599883230665,68.069406794551341,67.35341454227904,67.60055583621785,66.746184279810748,68.173569224526887,68.99896851362756,68.247728171999782,{"$f":"AVERAGE(BO7:BO106)","v":68.899888497180598},69.010119706258592,69.507981880155839,68.470180402003649,67.335843495949774,68.298692100501626,70.112799377621343,70.935925005832345,73.951509779673259,74.951948075564147,74.745320929147326,76.008670596667798,76.463610084032823,78.095054091872029,78.550188472045605,78.559119551537876,77.050421112009928,76.894700657215495,77.077017614514219,77.456272959859191,79.246454980631427,78.297144080460242,78.758657193215825,77.451072463727456,75.675004920112769,76.114594387970385,76.766085532658082,78.456789091828668,79.616788411088962,78.041203161599483,77.778028373394719,77.883555460548394,76.969630821117605,77.979315387200302,77.77698248760268,77.137341500327494,78.136931223579481,78.632450254589742,80.620555736426297,80.232401416457961,80.712158862875782,80.965517946933275,81.285182330388224,79.107103391259855,78.468433349915955,79.810655433461491,82.178322811049711,82.961845576165118,83.624819995126259,82.630457818020076,82.336048325645649,82.891600334307611,82.078457291868474,82.113048513766046,84.016257291672076,83.211911885384723,83.700850120937218,82.967294040466982,82.9082134371682,82.472873767352809,81.65064458530729,82.686307784088015,81.770705704438754,82.401664026630172,{"$f":"AVERAGE(EA7:EA106)","v":82.516567641038932},83.106183473150324,82.848256446123216,84.208682247451918,84.137643521993795,83.210126409790178,84.882097419950952,87.949383487296458,90.116554697521096,90.775325177225611,93.249301916714288,93.648173296595402,93.248956627517032,92.291261286384454,92.088649187811029,92.70932810903183,94.351186963392976,95.612059828638607,95.666287811492623,96.5775705907527,96.810654660108042,99.397987294662727,100.84863752652915,102.690440610945,103.03915161674681,102.52025489685516,101.37088641684002,101.79202753782876,102.77260873338628,101.95704818821696,101.79318358872483,100.43677587239112,102.75170179247992,102.55252189496714,103.30198262666475,103.13883298843577,101.78943200909305,99.9265088781261,101.06678732932704,101.67813018009383,102.70694131184052,102.17140805381696,101.34171300839225,101.58380364189554,100.54719071844136,101.45673766437109,102.6729487492932,103.64082952555952,104.58430992809355,104.75648073480588,105.42138528322472,107.51831606998968,106.65486696756476,104.87452340064307,105.55160191278314,105.32336001007906,106.68097459245452,106.10464850142581,106.44271927692976,106.8531789928315,104.66433714592632,104.13316058616594,106.72877816440665,107.23498380776248,{"$f":"AVERAGE(GM7:GM106)","v":108.8158674227714},109.48408591961078,107.73325331252701,108.76777827548493,109.02752644908287,109.8662815004696,109.69167836554418,107.48732234633788,111.52239651339805,113.13018302161487,111.41509255093803,111.61350804290852,110.15690102374992,111.49858663753589,113.13799460347722,113.95617295127093,115.36261835333993,113.05622748929473,114.19913627564,113.85237130456422,111.49820847017563,114.09893319562909,115.91673191066043,116.23212652806238,116.30726231468829,116.30145496739375,115.32521770101819,115.69042854684399,116.88347271884602,114.9905165793561,116.72707629404289,116.57292129172689,119.14398905819206,119.3820075357449,120.17623089222727,120.29828315777306,121.20652089480498,120.12253252939088,119.4483021093618,120.5239765729939,121.55940892283714,120.27529866138106,121.59281951196544,122.64749488661468,120.43391598530997,118.84567512694099,117.78604234136532,117.98948262895466,117.57739977721148,117.10066116862572,116.81099031610823,115.92065843886627,114.44558565884314,112.15051053722884,111.9742803436483,112.88203411703056,109.95324470223359,109.16988800925587,108.88083256838959,108.17264396701222,108.14258084631079,106.12353987917896,108.82967753310406,11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[]
["for discounted value","Multiplication factor \n(e^(-1*r*t)",{"$f":"EXP(-1*Simulation!C6*Simulation!C9)","v":0.99999589041940329}]
[]
["Discounted values of Payoffs",1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365]
[]
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V213)","v":103.64040360521746},{"$f":"AVERAGE(Put!FW114:FW213)","v":104.58388013044276},{"$f":"AVERAGE(Put!FX114:FX213)","v":104.75605022960529},{"$f":"AVERAGE(Put!FY114:FY213)","v":105.42095204554522},{"$f":"AVERAGE(Put!FZ114:FZ213)","v":107.51787421480417},{"$f":"AVERAGE(Put!GA114:GA213)","v":106.65442866079295},{"$f":"AVERAGE(Put!GB114:GB213)","v":104.8740924103366},{"$f":"AVERAGE(Put!GC114:GC213)","v":105.55116813996788},{"$f":"AVERAGE(Put!GD114:GD213)","v":105.32292717524238},{"$f":"AVERAGE(Put!GE114:GE213)","v":106.68053617839125},{"$f":"AVERAGE(Put!GF114:GF213)","v":106.10421245582116},{"$f":"AVERAGE(Put!GG114:GG213)","v":106.44228184199592},{"$f":"AVERAGE(Put!GH114:GH213)","v":106.85273987108047},{"$f":"AVERAGE(Put!GI114:GI213)","v":104.66390701939717},{"$f":"AVERAGE(Put!GJ114:GJ213)","v":104.13273264254973},{"$f":"AVERAGE(Put!GK114:GK213)","v":106.72833955389082},{"$f":"AVERAGE(Put!GL114:GL213)","v":107.2345431169537},{"$f":"AVERAGE(Put!GM114:GM213)","v":108.81542023519405},{"$f":"AVERAGE(Put!GN114:GN213)","v":109.48363598593562},{"$f":"AVERAGE(Put!GO114:GO213)","v":107.73281057403963},{"$f":"AVERAGE(Put!GP114:GP213)","v":108.76733128553374},{"$f":"AVERAGE(Put!GQ114:GQ213)","v":109.02707839167562},{"$f":"AVERAGE(Put!GR114:GR213)","v":109.86582999613088},{"$f":"AVERAGE(Put!GS114:GS213)","v":109.69122757875115},{"$f":"AVERAGE(Put!GT114:GT213)","v":107.48688061852359},{"$f":"AVERAGE(Put!GU114:GU213)","v":111.52193820312124},{"$f":"AVERAGE(Put!GV114:GV213)","v":113.12971810400988},{"$f":"AVERAGE(Put!GW114:GW213)","v":111.4146346816355},{"$f":"AVERAGE(Put!GX114:GX213)","v":111.61304935820161},{"$f":"AVERAGE(Put!GY114:GY213)","v":110.15644832508691},{"$f":"AVERAGE(Put!GZ114:GZ213)","v":111.49812842510772},{"$f":"AVERAGE(Put!HA114:HA213)","v":113.13752965376985},{"$f":"AVERAGE(Put!HB114:HB213)","v":113.9557046391937},{"$f":"AVERAGE(Put!HC114:HC213)","v":115.36214426136203},{"$f":"AVERAGE(Put!HD114:HD213)","v":113.05576287561586},{"$f":"AVERAGE(Put!HE114:HE213)","v":114.19866696508541},{"$f":"AVERAGE(Put!HF114:HF213)","v":113.85190341906826},{"$f":"AVERAGE(Put!HG114:HG213)","v":111.49775025930157},{"$f":"AVERAGE(Put!HH114:HH213)","v":114.09846429686714},{"$f":"AVERAGE(Put!HI114:HI213)","v":115.91625554150815},{"$f":"AVERAGE(Put!HJ114:HJ213)","v":116.23164886277056},{"$f":"AVERAGE(Put!HK114:HK213)","v":116.30678434061987},{"$f":"AVERAGE(Put!HL114:HL213)","v":116.30097701719109},{"$f":"AVERAGE(Put!HM114:HM213)","v":115.32474376274118},{"$f":"AVERAGE(Put!HN114:HN213)","v":115.68995310770353},{"$f":"AVERAGE(Put!HO114:HO213)","v":116.88299237679438},{"$f":"AVERAGE(Put!HP114:HP213)","v":114.99004401656035},{"$f":"AVERAGE(Put!HQ114:HQ213)","v":116.7265965947151},{"$f":"AVERAGE(Put!HR114:HR213)","v":116.57244222591142},{"$f":"AVERAGE(Put!HS114:HS213)","v":119.14349942636636},{"$f":"AVERAGE(Put!HT114:HT213)","v":119.38151692576312},{"$f":"AVERAGE(Put!HU114:HU213)","v":120.17573701832062},{"$f":"AVERAGE(Put!HV114:HV213)","v":120.29778878228277},{"$f":"AVERAGE(Put!HW114:HW213)","v":121.20602278683846},{"$f":"AVERAGE(Put!HX114:HX213)","v":120.12203887616201},{"$f":"AVERAGE(Put!HY114:HY213)","v":119.44781122693716},{"$f":"AVERAGE(Put!HZ114:HZ213)","v":120.5234812699984},{"$f":"AVERAGE(Put!IA114:IA213)","v":121.5589093646489},{"$f":"AVERAGE(Put!IB114:IB213)","v":120.27480438034742},{"$f":"AVERAGE(Put!IC114:IC213)","v":121.59231981647366},{"$f":"AVERAGE(Put!ID114:ID213)","v":122.64699085684951},{"$f":"AVERAGE(Put!IE114:IE213)","v":120.43342105242562},{"$f":"AVERAGE(Put!IF114:IF213)","v":118.84518672106054},{"$f":"AVERAGE(Put!IG114:IG213)","v":117.78555829013119},{"$f":"AVERAGE(Put!IH114:IH213)","v":117.98899774166621},{"$f":"AVERAGE(Put!II114:II213)","v":117.57691658341069},{"$f":"AVERAGE(Put!IJ114:IJ213)","v":117.10017993402073},{"$f":"AVERAGE(Put!IK114:IK213)","v":116.81051027192899},{"$f":"AVERAGE(Put!IL114:IL213)","v":115.92018205357753},{"$f":"AVERAGE(Put!IM114:IM213)","v":114.44511533548493},{"$f":"AVERAGE(Put!IN114:IN213)","v":112.15004964566688},{"$f":"AVERAGE(Put!IO114:IO213)","v":111.97382017631845},{"$f":"AVERAGE(Put!IP114:IP213)","v":112.88157021921346},{"$f":"AVERAGE(Put!IQ114:IQ213)","v":109.95279284051269},{"$f":"AVERAGE(Put!IR114:IR213)","v":109.16943936680235},{"$f":"AVERAGE(Put!IS114:IS213)","v":108.88038511383267},{"$f":"AVERAGE(Put!IT114:IT213)","v":108.17219942281355},{"$f":"AVERAGE(Put!IU114:IU213)","v":108.1421364256589},{"$f":"AVERAGE(Put!IV114:IV213)","v":106.12310375593876},{"$f":"AVERAGE(Put!IW114:IW213)","v":108.82923028877289},{"$f":"AVERAGE(Put!IX114:IX213)","v":110.77483619891169},{"$f":"AVERAGE(Put!IY114:IY213)","v":111.09964230331458},{"$f":"AVERAGE(Put!IZ114:IZ213)","v":110.00041482305954},{"$f":"AVERAGE(Put!JA114:JA213)","v":109.18256833673348},{"$f":"AVERAGE(Put!JB114:JB213)","v":106.9061502392955},{"$f":"AVERAGE(Put!JC114:JC213)","v":107.83312251786226},{"$f":"AVERAGE(Put!JD114:JD213)","v":105.15783764409163},{"$f":"AVERAGE(Put!JE114:JE213)","v":103.57653491330497},{"$f":"AVERAGE(Put!JF114:JF213)","v":104.79976967380324},{"$f":"AVERAGE(Put!JG114:JG213)","v":105.2607137432106},{"$f":"AVERAGE(Put!JH114:JH213)","v":107.21552947728887},{"$f":"AVERAGE(Put!JI114:JI213)","v":107.77726717030286},{"$f":"AVERAGE(Put!JJ114:JJ213)","v":108.45353041120615},{"$f":"AVERAGE(Put!JK114:JK213)","v":109.40195205158548},{"$f":"AVERAGE(Put!JL114:JL213)","v":109.08712748859597},{"$f":"AVERAGE(Put!JM114:JM213)","v":108.74068984362853},{"$f":"AVERAGE(Put!JN114:JN213)","v":109.01012414665578},{"$f":"AVERAGE(Put!JO114:JO213)","v":110.39426399193886},{"$f":"AVERAGE(Put!JP114:JP213)","v":110.63908096157613},{"$f":"AVERAGE(Put!JQ114:JQ213)","v":110.19722190132251},{"$f":"AVERAGE(Put!JR114:JR213)","v":108.6529901171824},{"$f":"AVERAGE(Put!JS114:JS213)","v":108.05319179872771},{"$f":"AVERAGE(Put!JT114:JT213)","v":107.8316473359619},{"$f":"AVERAGE(Put!JU114:JU213)","v":108.23074269090836},{"$f":"AVERAGE(Put!JV114:JV213)","v":108.03286720430351},{"$f":"AVERAGE(Put!JW114:JW213)","v":107.44746736680665},{"$f":"AVERAGE(Put!JX114:JX213)","v":108.11860263360808},{"$f":"AVERAGE(Put!JY114:JY213)","v":106.9048920065747},{"$f":"AVERAGE(Put!JZ114:JZ213)","v":107.72112783774396},{"$f":"AVERAGE(Put!KA114:KA213)","v":108.14576449767252},{"$f":"AVERAGE(Put!KB114:KB213)","v":109.5618548612902},{"$f":"AVERAGE(Put!KC114:KC213)","v":108.58613130730549},{"$f":"AVERAGE(Put!KD114:KD213)","v":111.16170968792161},{"$f":"AVERAGE(Put!KE114:KE213)","v":109.97152125155104},{"$f":"AVERAGE(Put!KF114:KF213)","v":111.19356645279908},{"$f":"AVERAGE(Put!KG114:KG213)","v":111.90116434566359},{"$f":"AVERAGE(Put!KH114:KH213)","v":114.04201232969788},{"$f":"AVERAGE(Put!KI114:KI213)","v":115.41899832307274},{"$f":"AVERAGE(Put!KJ114:KJ213)","v":116.70415008024378},{"$f":"AVERAGE(Put!KK114:KK213)","v":116.87939465372146},{"$f":"AVERAGE(Put!KL114:KL213)","v":116.9812541331797},{"$f":"AVERAGE(Put!KM114:KM213)","v":116.50224357587132},{"$f":"AVERAGE(Put!KN114:KN213)","v":116.11361940366461},{"$f":"AVERAGE(Put!KO114:KO213)","v":114.66250455101677},{"$f":"AVERAGE(Put!KP114:KP213)","v":116.37491335758673},{"$f":"AVERAGE(Put!KQ114:KQ213)","v":116.14052242820411},{"$f":"AVERAGE(Put!KR114:KR213)","v":117.99909834780982},{"$f":"AVERAGE(Put!KS114:KS213)","v":119.95369278000888},{"$f":"AVERAGE(Put!KT114:KT213)","v":119.17419328367755},{"$f":"AVERAGE(Put!KU114:KU213)","v":118.89602004410219},{"$f":"AVERAGE(Put!KV114:KV213)","v":117.45685410711948},{"$f":"AVERAGE(Put!KW114:KW213)","v":116.76497551554706},{"$f":"AVERAGE(Put!KX114:KX213)","v":115.52200086702437},{"$f":"AVERAGE(Put!KY114:KY213)","v":118.34862887128942},{"$f":"AVERAGE(Put!KZ114:KZ213)","v":119.03186501354497},{"$f":"AVERAGE(Put!LA114:LA213)","v":118.62689183952223},{"$f":"AVERAGE(Put!LB114:LB213)","v":119.08254332140743},{"$f":"AVERAGE(Put!LC114:LC213)","v":119.32419177422018},{"$f":"AVERAGE(Put!LD114:LD213)","v":118.29548608878432},{"$f":"AVERAGE(Put!LE114:LE213)","v":118.05905985070076},{"$f":"AVERAGE(Put!LF114:LF213)","v":116.83319271562877},{"$f":"AVERAGE(Put!LG114:LG213)","v":114.81783072327912},{"$f":"AVERAGE(Put!LH114:LH213)","v":113.85029646406333},{"$f":"AVERAGE(Put!LI114:LI213)","v":115.03377929251585},{"$f":"AVERAGE(Put!LJ114:LJ213)","v":115.12078258157381},{"$f":"AVERAGE(Put!LK114:LK213)","v":113.0161040222003},{"$f":"AVERAGE(Put!LL114:LL213)","v":114.48016686399146},{"$f":"AVERAGE(Put!LM114:LM213)","v":115.34769899246911},{"$f":"AVERAGE(Put!LN114:LN213)","v":115.59750288723693},{"$f":"AVERAGE(Put!LO114:LO213)","v":116.32693617283277},{"$f":"AVERAGE(Put!LP114:LP213)","v":117.11502990114388},{"$f":"AVERAGE(Put!LQ114:LQ213)","v":117.27922192475334},{"$f":"AVERAGE(Put!LR114:LR213)","v":116.48078625677982},{"$f":"AVERAGE(Put!LS114:LS213)","v":116.03505510622246},{"$f":"AVERAGE(Put!LT114:LT213)","v":115.18192305413226},{"$f":"AVERAGE(Put!LU114:LU213)","v":116.58224352306178},{"$f":"AVERAGE(Put!LV114:LV213)","v":116.04649155011008},{"$f":"AVERAGE(Put!LW114:LW213)","v":117.19492767101143},{"$f":"AVERAGE(Put!LX114:LX213)","v":117.54429503090661},{"$f":"AVERAGE(Put!LY114:LY213)","v":118.41169657471519},{"$f":"AVERAGE(Put!LZ114:LZ213)","v":117.72667226134055},{"$f":"AVERAGE(Put!MA114:MA213)","v":120.40928597045583},{"$f":"AVERAGE(Put!MB114:MB213)","v":120.13471394109605},{"$f":"AVERAGE(Put!MC114:MC213)","v":121.67206076294443},{"$f":"AVERAGE(Put!MD114:MD213)","v":123.31104445052245},{"$f":"AVERAGE(Put!ME114:ME213)","v":121.75475092317961},{"$f":"AVERAGE(Put!MF114:MF213)","v":120.80709533616397},{"$f":"AVERAGE(Put!MG114:MG213)","v":121.75014739664859},{"$f":"AVERAGE(Put!MH114:MH213)","v":123.48271967229954},{"$f":"AVERAGE(Put!MI114:MI213)","v":123.00146587395071},{"$f":"AVERAGE(Put!MJ114:MJ213)","v":122.92513252038616},{"$f":"AVERAGE(Put!MK114:MK213)","v":122.51519082522327},{"$f":"AVERAGE(Put!ML114:ML213)","v":120.91730402695954},{"$f":"AVERAGE(Put!MM114:MM213)","v":119.7153084932898},{"$f":"AVERAGE(Put!MN114:MN213)","v":119.17140937410481},{"$f":"AVERAGE(Put!MO114:MO213)","v":120.70019868775745},{"$f":"AVERAGE(Put!MP114:MP213)","v":122.74779031600482},{"$f":"AVERAGE(Put!MQ114:MQ213)","v":122.45034337437274},{"$f":"AVERAGE(Put!MR114:MR213)","v":122.28947839099766},{"$f":"AVERAGE(Put!MS114:MS213)","v":122.4635212334957},{"$f":"AVERAGE(Put!MT114:MT213)","v":123.31412364628748},{"$f":"AVERAGE(Put!MU114:MU213)","v":123.4481387863221},{"$f":"AVERAGE(Put!MV114:MV213)","v":125.67582181337522},{"$f":"AVERAGE(Put!MW114:MW213)","v":123.65373373285546},{"$f":"AVERAGE(Put!MX114:MX213)","v":122.065342049919},{"$f":"AVERAGE(Put!MY114:MY213)","v":122.50970840655283},{"$f":"AVERAGE(Put!MZ114:MZ213)","v":2019.9916986471997},{"$f":"AVERAGE(Put!NA114:NA213)","v":2019.9916986471997},{"$f":"AVERAGE(Put!NB114:NB213)","v":2011.9917315238363}]
[]
["Log Return"]
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[]
["Date","Futures ","Call ","Put"]
[]
[1]
[2,-6.5228376929022641E-2,0.20243402756174378,3.9964875947084186E-2]
[3,0.12747640513060013,1.5786014048292236E-2,8.150179190049818E-2]
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[5,1.7190725922472408E-2,7.1324013314358701E-3,1.3770685703122985E-2]
[6,6.0102190843842933E-2,-4.843726565824806E-2,2.4622838212918028E-2]
[7,2.3341706889082575E-2,6.5837221466087156E-2,3.6924329967692987E-2]
[8,9.0131136154873975E-2,4.7920640581136743E-2,7.6638307439158046E-2]
[9,7.5193692240491286E-2,9.7790041832951063E-2,8.2368544723134943E-2]
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[11,-8.0907276113118029E-2,9.338874681187477E-2,-1.485483705845639E-2]
[12,0.11117740256840407,8.7864465149685364E-3,7.1509595095049158E-2]
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[15,4.7017296072531375E-3,0.10399810736672269,4.6418811085715474E-2]
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["Bin","Frequency","Cumulative %","Confidence Interval"]
[-3.8340069602758105E-2,1,2.7472527472527475E-3,{"$f":"1-C2","v":0.99725274725274726}]
[-3.1986984638237417E-2,0,2.7472527472527475E-3,{"$f":"1-C3","v":0.99725274725274726}]
[-2.563389967371673E-2,1,5.4945054945054949E-3,0.99450549450549453]
[-1.9280814709196042E-2,12,3.8461538461538464E-2,0.96153846153846156]
[-1.2927729744675355E-2,20,9.3406593406593408E-2,0.90659340659340659]
[-6.5746447801546676E-3,31,0.17857142857142858,0.8214285714285714]
[-2.2155981563398014E-4,67,0.36263736263736263,0.63736263736263732]
[6.1315251488867073E-3,91,0.61263736263736268,0.38736263736263732]
[1.2484610113407395E-2,62,0.78296703296703296,0.21703296703296704]
[1.8837695077928082E-2,37,0.88461538461538458,0.11538461538461542]
[2.519078004244877E-2,18,0.93406593406593408,6.5934065934065922E-2]
[3.154386500696945E-2,9,0.95879120879120883,4.1208791208791173E-2]
[3.7896949971490144E-2,3,0.96703296703296704,3.2967032967032961E-2]
[4.4250034936010839E-2,3,0.97527472527472525,2.4725274725274748E-2]
[5.0603119900531519E-2,3,0.98351648351648346,1.6483516483516536E-2]
[5.69562048650522E-2,1,0.98626373626373631,1.3736263736263687E-2]
[6.3309289829572901E-2,0,0.98626373626373631,1.3736263736263687E-2]
[6.9662374794093596E-2,0,0.98626373626373631,1.3736263736263687E-2]
[7.6015459758614262E-2,2,0.99175824175824179,8.2417582417582125E-3]
["More",3,1,0]
[]
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[0.99450549450549453,-2.563389967371673E-2]
[0.96153846153846156,-1.9280814709196042E-2]
[0.90659340659340659,-1.2927729744675355E-2]
[0.8214285714285714,-6.5746447801546676E-3]
[0.63736263736263732,-2.2155981563398014E-4]