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{"sheet":"Parametrique","index":0,"n_rows":151,"n_cols":17,"rows_kept":151,"cut":false,"hidden":false,"merged":[]}
["CALCULS"]
[null,null,"USD","GBP","CHF","DKK","SGD"]
[null,"Portefeuille",5500000,-4500000,2800000,45000000,-8500000,"PORTEFEUILLE"]
["Cours FX à la date",{"$f":"Histo!E9","v":"2015-01-02"},{"$f":"Histo!F9","v":1.2042999999999999},{"$f":"Histo!G9","v":0.78},{"$f":"Histo!H9","v":1.2021999999999999},{"$f":"Histo!I9","v":9.0419999999999998},{"$f":"Histo!J9","v":1.4841}]
["Contrevaleur Euro",null,{"$f":"C3/C4","v":4566968.3633646108},{"$f":"D3/D4","v":-5769230.769230769},{"$f":"E3/E4","v":2329063.3837963734},{"$f":"F3/F4","v":4976775.0497677503},{"$f":"G3/G4","v":-5727376.8613974797},{"$f":"SUM(C5:G5)","v":376199.16630048584},{"$f":"form(H5)","v":"=SOMME(C5:G5)"}]
["Cours FX à la date",{"$f":"Histo!E776","v":"2017-12-29"},{"$f":"Histo!F776","v":1.1993},{"$f":"Histo!G776","v":0.88722999999999996},{"$f":"Histo!H776","v":1.1701999999999999},{"$f":"Histo!I776","v":9.8402999999999992},{"$f":"Histo!J776","v":1.5346}]
["Contrevaleur Euro",null,{"$f":"C3/C6","v":4586008.5049612271},{"$f":"D3/D6","v":-5071965.5557183595},{"$f":"E3/E6","v":2392753.375491369},{"$f":"F3/F6","v":4573031.3100210363},{"$f":"G3/G6","v":-5538902.6456405576},{"$f":"SUM(C7:G7)","v":940924.98911471479},"=SOMME(C7:G7)"]
["RESULTAT sur 3 ans",null,{"$f":"C7-C5","v":19040.141596616246},{"$f":"D7-D5","v":697265.21351240948},{"$f":"E7-E5","v":63689.991694995668},{"$f":"F7-F5","v":-403743.73974671401},{"$f":"G7-G5","v":188474.21575692203},{"$f":"SUM(C8:G8)","v":564725.82281422941},"=SOMME(C8:G8)"]
["RISQUE",0.02,{"$f":"ABS(C7)","v":4586008.5049612271},{"$f":"ABS(D7)","v":5071965.5557183595},{"$f":"ABS(E7)","v":2392753.375491369},{"$f":"ABS(F7)","v":4573031.3100210363},{"$f":"ABS(G7)","v":5538902.6456405576},{"$f":"B9*SUM(ABS(C9:G9))","v":443253.22783665109},{"$f":"form(H9)","v":"=B9*SOMME(ABS(C9:G9))"}]
[]
["STATISTIQUES","moyenne",{"$f":"Histo!L5","v":5.424292084431551E-6},{"$f":"Histo!M5","v":-1.679404563597155E-4},{"$f":"Histo!N5","v":3.5174103325851251E-5},{"$f":"Histo!O5","v":-1.1030744397898467E-4},{"$f":"Histo!P5","v":-4.3626118437798819E-5}]
["sur les rendements","écart type",{"$f":"Histo!L6","v":5.8921872678338368E-3},{"$f":"Histo!M6","v":6.1901383706446872E-3},{"$f":"Histo!N6","v":6.5645614073908424E-3},{"$f":"Histo!O6","v":5.2986074653614667E-3},{"$f":"Histo!P6","v":6.661247504367424E-3},{"$f":"F12","v":5.2986074653614667E-3},{"$f":"form(H12)","v":"=F12"}]
[null,"centile 5%",{"$f":"Histo!L7","v":8.5160234066084372E-3},{"$f":"Histo!M7","v":9.1922171954118941E-3},{"$f":"Histo!N7","v":5.12395929207431E-3},{"$f":"Histo!O7","v":7.6642859776190871E-3},{"$f":"Histo!P7","v":1.0071087154428329E-2}]
[null,"centile 95%",{"$f":"Histo!L8","v":-8.9343619727258322E-3},{"$f":"Histo!M8","v":-9.8235743089448158E-3},{"$f":"Histo!N8","v":-5.4848232780451969E-3},{"$f":"Histo!O8","v":-8.6521392992359378E-3},{"$f":"Histo!P8","v":-1.1156859907119281E-2},"alpha","beta"]
[null,"alpha écart type",{"$f":"C12*$H$15","v":9.6917855981737688E-3},{"$f":"D12*$H$15","v":1.0181871550286386E-2},{"$f":"E12*$H$15","v":1.0797742640292483E-2},{"$f":"F12*$H$15","v":8.7154337071919524E-3},{"$f":"G12*$H$15","v":1.0956777117580196E-2},{"$f":"NORMSINV(0.95)","v":1.6448536269514715},{"$f":"NORMDIST(H15,0,1,FALSE)/0.05","v":2.0627128075074301}]
[null,null,null,null,null,null,null,{"$f":"NORMSINV(0.99)","v":2.3263478740408408},{"$f":"NORMDIST(H16,0,1,FALSE)/0.01","v":2.665214220345808}]
[null,"param",{"$f":"C15*C7","v":44446.611181485634},{"$f":"D15*D7","v":-51642.101795801245},{"$f":"E15*E7","v":25836.335150246927},{"$f":"F15*F7","v":39855.951223401513},{"$f":"G15*G7","v":-60688.521764258876},{"$f":"D17","v":-51642.101795801245},{"$f":"form(H17)","v":"=D17"}]
[null,"histo plus",{"$f":"C13*C7","v":39054.555771155174},{"$f":"D13*D7","v":-46622.608995811148},{"$f":"E13*E7","v":12260.370891991171},{"$f":"F13*F7","v":35049.019744607271},{"$f":"G13*G7","v":-55782.771284139708},{"$f":"F17","v":39855.951223401513},"=F17"]
[null,"histo moins",{"$f":"C14*C7","v":-40973.05999332283},{"$f":"D14*D7","v":49824.830529007893},{"$f":"E14*E7","v":-13123.829412516281},{"$f":"F14*F7","v":-39566.503914069413},{"$f":"G14*G7","v":61796.760856584049},{"$f":"SQRT(F17*F17+G17*G17)","v":72605.740281695937},"=RACINE(F17*F17+G17*G17)"]
[null,"mc",{"$f":"-MonteCarlo!M3","v":44494.621906703782},{"$f":"-MonteCarlo!N3","v":51613.315503915437},{"$f":"-MonteCarlo!O3","v":26004.795444160227},{"$f":"-MonteCarlo!P3","v":39507.119372940841},{"$f":"-MonteCarlo!Q3","v":59371.621064960877},{"$f":"SQRT(F17*F17+G17*G17+2*G17*F17*G28)","v":57342.166289928631},"=RACINE(F17*F17+G17*G17+2*G17*F17*G28)"]
[null,null,null,null,null,null,null,{"$f":"SQRT(SUMSQ(C17:G17))","v":102866.50406840426},"=RACINE(SOMME.CARRES(C17:G17))"]
[null,null,null,null,null,null,null,{"$f":"SQRT(MMULT(C17:G17,MMULT(correl,TRANSPOSE(C17:G17))))","v":76044.372673336198},"=RACINE(PRODUITMAT(C17:G17;PRODUITMAT(correl;TRANSPOSE(C17:G17))))"]
[null,null,null,null,null,null,null,{"$f":"VarParam(MMkt,MPeuro,1,0.95)","v":76044.372673336053},"=VarParam(MMkt;MPeuro;1;0,95)"]
["Corrélation",null,{"$f":"nom","v":"USD"},"GBP","CHF","DKK","SGD",{"$f":"H22/ic*I15","v":95362.711235816489},{"$f":"form(H24)","v":"=H22/ic*I15"}]
[1,{"$f":"C24","v":"USD"},{"$f":"mcorrelation(rend)","v":1.0000000000000024},0.37953428510415438,0.20398691955116605,0.1441347994202318,0.44034184161380124]
[2,{"$f":"D24","v":"GBP"},0.37953428510415438,0.999999999999998,0.12380056612249288,0.32510909413527772,0.38026459406339386,{"$f":"G28","v":0.41001126616269967},{"$f":"form(H26)","v":"=G28"}]
[3,{"$f":"E24","v":"CHF"},0.20398691955116605,0.12380056612249288,1.0000000000000007,0.15271663463821811,0.22513242179457751]
[null,{"$f":"F24","v":"DKK"},0.1441347994202318,0.32510909413527772,0.15271663463821811,0.99999999999999878,0.41001126616269967]
[null,{"$f":"G24","v":"SGD"},0.44034184161380124,0.38026459406339386,0.22513242179457751,0.41001126616269967,1.0000000000000036]
[null,"déterminant",{"$f":"MDETERM(C25:G29)","v":0.47399945220650319}]
["Matrice de Variance Covariance",null,{"$f":"C24","v":"USD"},{"$f":"D24","v":"GBP"},{"$f":"E24","v":"CHF"},{"$f":"F24","v":"DKK"},{"$f":"G24","v":"SGD"}]
[null,{"$f":"B25","v":"USD"},{"$f":"mcovariance(rend)","v":3.4717870799223243E-5},1.3842926476523467E-5,7.8901375824248864E-6,4.499944282156869E-6,1.7283116852688889E-5]
[null,{"$f":"B26","v":"GBP"},1.3842926476523467E-5,3.8317813047727633E-5,5.0307032843428565E-6,1.0663290040165814E-5,1.5679846916987526E-5]
[null,{"$f":"B27","v":"CHF"},7.8901375824248864E-6,5.0307032843428565E-6,4.3093466471405166E-5,5.3119479072078476E-6,9.8446284282748562E-6]
[null,{"$f":"B28","v":"DKK"},4.499944282156869E-6,1.0663290040165814E-5,5.3119479072078476E-6,2.8075241071984272E-5,1.4471485302652462E-5]
[null,{"$f":"B29","v":"SGD"},1.7283116852688889E-5,1.5679846916987526E-5,9.8446284282748562E-6,1.4471485302652462E-5,4.4372218314441213E-5]
[]
["Cholesky",null,{"$f":"C31","v":"USD"},{"$f":"D31","v":"GBP"},{"$f":"E31","v":"CHF"},{"$f":"F31","v":"DKK"},{"$f":"G31","v":"SGD"}]
[null,{"$f":"B25","v":"USD"},{"$f":"mcholesky(vcv)","v":5.8921872678338429E-3},0,0,0,0,{"$f":"C39+D40+E41+F42+G43","v":2.8412216349699773E-2},{"$f":"form(H39)","v":"=C39+D40+E41+F42+G43"}]
[null,{"$f":"B26","v":"GBP"},2.3493697411984277E-3,5.7269778126747507E-3,0,0,0]
[null,{"$f":"B27","v":"CHF"},1.3390846596981216E-3,3.2909125294216195E-4,6.4181007854974739E-3,0,0]
[null,{"$f":"B28","v":"DKK"},7.6371372422641838E-4,1.5486430043262333E-3,5.889009590784312E-4,4.974623897839957E-3,0]
[null,{"$f":"B29","v":"SGD"},2.9332259935184847E-3,1.5345990173504501E-3,8.4320386426018539E-4,1.8811936239403011E-3,5.4003265858537479E-3]
[null,null,null,null,null,null,null,{"$f":"C47","v":8.2502809345137828E-5},{"$f":"form(H44)","v":"=C47"}]
[null,null,null,null,null,null,null,{"$f":"D47","v":3.8370484962214836E-5},"=D47"]
[null,"VALEUR PROPRES",null,null,null,null,null,{"$f":"E47","v":2.6770210111997038E-5},"=E47"]
[null,null,{"$f":"mValp(vcv)","v":8.2502809345137828E-5},3.8370484962214836E-5,2.6770210111997038E-5,2.4874738526954289E-5,1.6058366758477539E-5,{"$f":"F47","v":2.4874738526954289E-5},"=F47"]
[null,null,null,null,null,null,null,{"$f":"G47","v":1.6058366758477539E-5},"=G47"]
[null,"VECTEURS PROPRES"]
[null,null,{"$f":"mVecp(vcv)","v":0.44108190315463985},-8.5086993747699347E-2,-0.67923334272921732,0.26710250154745074,0.51527204270797367,{"$f":"C50","v":0.44108190315463985},{"$f":"form(H50)","v":"=C50"}]
[null,null,0.46912705177461439,-0.32827996019972294,-0.16917366916988663,-0.74742726890954925,-0.29135000321698407,{"$f":"C51","v":0.46912705177461439},"=C51"]
[null,null,0.34240154512004645,0.92262943757585714,-6.9453079035704007E-4,-0.16911453042479396,-5.3999037436280671E-2,{"$f":"C52","v":0.34240154512004645},"=C52"]
[null,null,0.32226935359331804,-0.10901099293100702,0.6583552237334559,-0.15364383604428761,0.65362147928537984,{"$f":"C53","v":0.32226935359331804},"=C53"]
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[]
[null,null,"Produit Simple: P vcv P",null,null,null,null,"Somme ligne","BETA","Component","VAR"]
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[null,null,-321987538.17725176,985719402.8249557,-61052427.432775036,-247327092.74575007,440495874.88344079,{"$f":"SUM(C58:G58)","v":795848219.35261965},{"$f":"H58/$H$62","v":0.37234934946535903},{"$f":"H58*ic/SQRT($H$62)","v":28315.072695418003},{"$f":"SQRT(ABS(H58*ic))*SIGN(H58)","v":36180.848941187476}]
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[null,null,94372653.653042808,-247327092.74575007,58124056.974204563,587126717.74598026,-366556575.5428654,125739760.08461213,{"$f":"H60/$H$62","v":5.8829204779173236E-2},{"$f":"H60*ic/SQRT($H$62)","v":4473.6299723034526},{"$f":"SQRT(ABS(H60*ic))*SIGN(H60)","v":14381.359477712187}]
[null,null,-439016308.78971374,440495874.88344079,-130473105.15366225,-366556575.54286534,1361314921.1688974,865764806.56609678,{"$f":"H61/$H$62","v":0.40506085793232904},{"$f":"H61*ic/SQRT($H$62)","v":30802.598835987261},{"$f":"SQRT(ABS(H61*ic))*SIGN(H61)","v":37736.671583052783}]
[null,null,null,null,null,null,"somme:",{"$f":"SUM(C57:G61)","v":2137369705.3461893},{"$f":"SUM(I57:I61)","v":0.99999999999999967},{"$f":"SUM(J57:J61)","v":76044.372673336038}]
[null,null,"Produit Simple: P chol",null,null,null,null,{"$f":"SQRT(H62)","v":46231.695895199315}]
[null,null,{"$f":"MPeuro*TRANSPOSE(chol)*ic","v":44446.611181485678},-19599.948186345402,5270.2744197903703,5744.6295352875231,-26723.69543849297,{"$f":"SUM(C64:G64)","v":9137.8715117251995}]
[null,null,0,-47778.119563043416,1295.214010254464,11648.84178463627,-13981.246876477873,{"$f":"SUM(C65:G65)","v":-48815.310644630554}]
[null,null,0,0,25259.905823332509,4429.6936608122824,-7682.1640442439902,22007.435439900801]
[null,null,0,0,0,37418.957475754643,-17138.960849965846,20279.996625788797]
[null,null,0,0,0,0,-49200.669593017039,-49200.669593017039]
[null,{"$f":"SQRT(SUMSQ(C69:G69))","v":155563.53746611992},{"$f":"SUM(C64:C68)","v":44446.611181485678},{"$f":"SUM(D64:D68)","v":-67378.067749388822},31825.394253377344,59242.122456490717,-114726.73680219772,{"$f":"SQRT(SUMSQ(H64:H68))","v":76044.372673336038},{"$f":"form(H69)","v":"=RACINE(SOMME.CARRES(H64:H68))"}]
[null,null,"Produit Simple: P racar"]
[null,null,{"$f":"MPeuro*TRANSPOSE(racar)*ic","v":42384.646287467222},-8757.9368199369983,2169.2380074438711,1352.8355694977402,-11908.090606869822,{"$f":"SUM(C71:G71)","v":25240.692437602011}]
[null,null,7918.8181191139029,-49563.91862982684,1089.9119716946066,6230.2463930237645,-9800.4747669069948,{"$f":"SUM(C72:G72)","v":-44125.416912901565}]
[null,null,4157.6135899838891,-2310.3074624499909,25551.402692754451,2745.9441530111112,-5984.8306908444656,24159.822282454996]
[null,null,1356.6746009229,-6909.988794480766,1436.7640839524229,38281.292043150133,-10479.117162929988,23685.624770614704]
[null,null,9859.4628385345768,-8974.2813021929614,2585.3900589015211,8651.7734564579459,-57442.272338933719,-45319.92728723264]
[null,{"$f":"SQRT(SUMSQ(C76:G76))","v":153842.06882280961},{"$f":"SUM(C71:C75)","v":65677.215436022496},{"$f":"SUM(D71:D75)","v":-76516.433008887558},{"$f":"SUM(E71:E75)","v":32832.706814746867},{"$f":"SUM(F71:F75)","v":57262.091615140693},{"$f":"SUM(G71:G75)","v":-95614.785566484992},{"$f":"SQRT(SUMSQ(H71:H75))","v":76044.372673336053},{"$f":"form(H76)","v":"=RACINE(SOMME.CARRES(H71:H75))"}]
[null,"Component","Pos Euro",null,null,"VAR MARGINALE",1000,{"$f":"F77","v":"VAR MARGINALE"}]
[null,"Gradient",null,"Component","BETA","CALCUL",{"$f":"ic*SQRT(MMULT(C86:G86,MMULT(vcv,TRANSPOSE(C86:G86))))","v":76044.372673336038},"SIMULATIONS"]
[null,{"$f":"ic*ic*MMULT(vcv,C79:C83)/Parametrique!H22","v":1.1646133487843702E-3},{"$f":"TRANSPOSE(C7:G7)","v":4586008.5049612271},{"$f":"B79*C79","v":5340.9267225164976},{"$f":"D79/$D$84","v":7.0234345221829073E-2},{"$f":"B79*$G$77","v":1.1646133487843702},{"$f":"ic*SQRT(MMULT(C87:G87,MMULT(vcv,TRANSPOSE(C87:G87))))","v":76045.537895362111},{"$f":"G79-$D$84","v":1.1652220262185438}]
[null,-5.5826626550123694E-3,-5071965.5557183595,{"$f":"B80*C80","v":28315.072695417944},{"$f":"D80/$D$84","v":0.37234934946535903},{"$f":"B80*$G$77","v":-5.5826626550123697},{"$f":"ic*SQRT(MMULT(C88:G88,MMULT(vcv,TRANSPOSE(C88:G88))))","v":76038.79048744023},{"$f":"G80-$D$84","v":-5.5821858956624055}]
[null,2.9723683685746603E-3,2392753.375491369,{"$f":"B81*C81","v":7112.1444471107925},{"$f":"D81/$D$84","v":9.3526242601309359E-2},{"$f":"B81*$G$77","v":2.9723683685746605},{"$f":"ic*SQRT(MMULT(C89:G89,MMULT(vcv,TRANSPOSE(C89:G89))))","v":76047.345750186098},{"$f":"G81-$D$84","v":2.9730768502049614}]
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[null,"Tableau des positions simulées: +1000 sur chaque position"]
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[]
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[null,"Matrice diagonale"]
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[]
[null,"Optimisation - portefeuille minimal sur la sphère d'investissement"]
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[]
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