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[null,null,null,null,null,null,"by Hugues Pirotte"]
[]
[null,null,null,"Below is a list of the worksheets\nof the file, by order of appearance:\n(CTRL+h = back to \"Introduction\")",null,null,null,{"$f":"IFERROR(LEFT(R1,SEARCH(\".\",R1)-1),R1)","v":"Option Composer"}]
[null,null,1,"Introduction"]
[null,null,2,"Option profiler",null,null,null,null,1,"On the next tab, you will find a portfolio with 10 possible instruments."]
[null,null,null,null,null,null,null,null,null,"Use the \"reset\" buttons to clear one instrument and reintroduce manually any parameters you want."]
[null,null,null,null,null,null,null,null,null,"(the buttons are there to avoid you to erase the wrong cells)."]
[null,null,null,null,null,null,null,null,2,"Assets 1 to 7 are assumed to be assets you can add freely together."]
[null,null,null,null,null,null,null,null,null,"Assets 8, 9 and 10 are kept for the demonstration of \"delta-gamma-vega\" neutrality purposes."]
[null,null,null,null,null,null,null,null,null,"Follow the instructions on the right-hand side of the table to witness the neutrality exercise."]

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[]
[null,null,null,null,null,null,null,null,null,null,null,null,"FOR DELTA","FOR GAMMA-VEGA"]
[null,null,null,"assumption","1 option = 1 underlying",null,null,null,"ORIGINAL PORTFOLIO OF INSTRUMENTS",null,null,null,"NEUTRALITY","NEUTRALITY"]
[]
[null,null,null,null,"TOTAL (signed &\nbased on number)",1,2,3,4,5,6,7,8,9,10,null,"Delta-gamma-vega neutrality"]
[null,null,null,"Amount",null,1,-1,1,-1,1,1,1,1,1,1,null,"!","To gamma-vega hedge:"]
[null,null,null,"Instrument type",null,"call","put","call","put","call","put","call","underlying","put","call"]
[null,null,null,"S(0)",null,50,50,50,50,50,50,50,50,50,50,null,1,"Clear the amounts of instruments 8, 9 and 10"]
[null,null,null,"div yield",null,0,0,0,0,0,0,0,0,0,0]
[null,null,null,"K",null,50,45,65,60,51,40,55,55,55,45,null,2,"Use the values obtained by the following system resolution, based on the gammas"]
[null,null,null,"s",null,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,null,null,"and vegas of the last two instruments, and based on what need to be achieved at the end,"]
[null,null,null,"rf rate",null,0.04,0.04,0.04,0.04,0.04,0.04,0.04,0.04,0.04,0.04,null,null,"i.e. obtain with those two options the reverse of the current total gamma and vega"]
[null,null,null,"T (days)",null,90,90,90,90,90,90,90,90,75,30]
[null,null,null,"T (years)",null,{"$f":"IF(F$8<>\"\",F14/365,\"\")","v":0.24657534246575341},0.24657534246575341,0.24657534246575341,0.24657534246575341,0.24657534246575341,0.24657534246575341,0.24657534246575341,0.24657534246575341,0.20547945205479451,8.2191780821917804E-2]
[null,null,null,"Price per option",null,{"$f":"IF(F$8<>\"\",IF(F8=\"underlying\",F9,option_bs(F8,F9,F11,F12,F13,F10,F15)),\"\")","v":2.2255354396383993},{"$f":"IF(G$8<>\"\",IF(G8=\"underlying\",G9,option_bs(G8,G9,G11,G12,G13,G10,G15)),\"\")","v":0.28494937089945882},{"$f":"IF(H$8<>\"\",IF(H8=\"underlying\",H9,option_bs(H8,H9,H11,H12,H13,H10,H15)),\"\")","v":9.8804866598095065E-3},{"$f":"IF(I$8<>\"\",IF(I8=\"underlying\",I9,option_bs(I8,I9,I11,I12,I13,I10,I15)),\"\")","v":9.5015551481039395},{"$f":"IF(J$8<>\"\",IF(J8=\"underlying\",J9,option_bs(J8,J9,J11,J12,J13,J10,J15)),\"\")","v":1.7502994258852311},{"$f":"IF(K$8<>\"\",IF(K8=\"underlying\",K9,option_bs(K8,K9,K11,K12,K13,K10,K15)),\"\")","v":1.410797425060839E-2},{"$f":"IF(L$8<>\"\",IF(L8=\"underlying\",L9,option_bs(L8,L9,L11,L12,L13,L10,L15)),\"\")","v":0.55893846607841802},{"$f":"IF(M$8<>\"\",IF(M8=\"underlying\",M9,option_bs(M8,M9,M11,M12,M13,M10,M15)),\"\")","v":50},{"$f":"IF(N$8<>\"\",IF(N8=\"underlying\",N9,option_bs(N8,N9,N11,N12,N13,N10,N15)),\"\")","v":4.9744699810804391},{"$f":"IF(O$8<>\"\",IF(O8=\"underlying\",O9,option_bs(O8,O9,O11,O12,O13,O10,O15)),\"\")","v":5.1781114792155591}]
[null,null,null,"Cost (value)",{"$f":"SUM(F17:O17)","v":54.924838733805068},{"$f":"IF(F7<>\"\",F7*F16,\"\")","v":2.2255354396383993},-0.28494937089945882,9.8804866598095065E-3,-9.5015551481039395,1.7502994258852311,1.410797425060839E-2,0.55893846607841802,50,4.9744699810804391,5.1781114792155591,null,null,{"$f":"MMULT(X17:Y17,MINVERSE(U17:V18))","v":-4.8617859418447207},1.5543269497394512,"×",{"$f":"TRANSPOSE(N19:O20)","v":5.788991092517181E-2},5.9475935882025828E-2,"=",{"$f":"-E19","v":-0.24743911104394845},{"$f":"-E20","v":-0.27518286727804664}]
[null,null,null,"delta",{"$f":"SUMPRODUCT($F$7:$O$7,F18:O18)","v":3.4660672941953461},{"$f":"IF(F8<>\"\",IF(F8=\"underlying\",1,delta_bs(F8,F9,F11,F12,F13,F10,F15)),\"\")","v":0.55921097645386519},{"$f":"IF(G8<>\"\",IF(G8=\"underlying\",1,delta_bs(G8,G9,G11,G12,G13,G10,G15)),\"\")","v":-0.11316521752583408},{"$f":"IF(H8<>\"\",IF(H8=\"underlying\",1,delta_bs(H8,H9,H11,H12,H13,H10,H15)),\"\")","v":6.3364664131401799E-3},{"$f":"IF(I8<>\"\",IF(I8=\"underlying\",1,delta_bs(I8,I9,I11,I12,I13,I10,I15)),\"\")","v":-0.95418525360443585},{"$f":"IF(J8<>\"\",IF(J8=\"underlying\",1,delta_bs(J8,J9,J11,J12,J13,J10,J15)),\"\")","v":0.47989080009413304},{"$f":"IF(K8<>\"\",IF(K8=\"underlying\",1,delta_bs(K8,K9,K11,K12,K13,K10,K15)),\"\")","v":-8.2910002575437014E-3},{"$f":"IF(L8<>\"\",IF(L8=\"underlying\",1,delta_bs(L8,L9,L11,L12,L13,L10,L15)),\"\")","v":0.20876075057146548},{"$f":"IF(M8<>\"\",IF(M8=\"underlying\",1,delta_bs(M8,M9,M11,M12,M13,M10,M15)),\"\")","v":1},{"$f":"IF(N8<>\"\",IF(N8=\"underlying\",1,delta_bs(N8,N9,N11,N12,N13,N10,N15)),\"\")","v":-0.81998467170320621},{"$f":"IF(O8<>\"\",IF(O8=\"underlying\",1,delta_bs(O8,O9,O11,O12,O13,O10,O15)),\"\")","v":0.97279350149322208},null,null,null,null,null,2.188036697967298E-2,8.9919316354820453E-3]
[null,null,null,"gamma",{"$f":"SUMPRODUCT($F$7:$O$7,F19:O19)","v":0.24743911104394845},{"$f":"IF(F8<>\"\",IF(F8=\"underlying\",0,gamma_bs(F8,F9,F11,F12,F13,F10,F15)),\"\")","v":7.9454108546436766E-2},{"$f":"IF(G8<>\"\",IF(G8=\"underlying\",0,gamma_bs(G8,G9,G11,G12,G13,G10,G15)),\"\")","v":3.8643863912081966E-2},{"$f":"IF(H8<>\"\",IF(H8=\"underlying\",0,gamma_bs(H8,H9,H11,H12,H13,H10,H15)),\"\")","v":3.5936685064480805E-3},{"$f":"IF(I8<>\"\",IF(I8=\"underlying\",0,gamma_bs(I8,I9,I11,I12,I13,I10,I15)),\"\")","v":1.9366026190931515E-2},{"$f":"IF(J8<>\"\",IF(J8=\"underlying\",0,gamma_bs(J8,J9,J11,J12,J13,J10,J15)),\"\")","v":8.0238545794944022E-2},{"$f":"IF(K8<>\"\",IF(K8=\"underlying\",0,gamma_bs(K8,K9,K11,K12,K13,K10,K15)),\"\")","v":4.5550365245927114E-3},{"$f":"IF(L8<>\"\",IF(L8=\"underlying\",0,gamma_bs(L8,L9,L11,L12,L13,L10,L15)),\"\")","v":5.7837363869695541E-2},{"$f":"IF(M8<>\"\",IF(M8=\"underlying\",0,gamma_bs(M8,M9,M11,M12,M13,M10,M15)),\"\")","v":0},{"$f":"IF(N8<>\"\",IF(N8=\"underlying\",0,gamma_bs(N8,N9,N11,N12,N13,N10,N15)),\"\")","v":5.788991092517181E-2},{"$f":"IF(O8<>\"\",IF(O8=\"underlying\",0,gamma_bs(O8,O9,O11,O12,O13,O10,O15)),\"\")","v":2.188036697967298E-2}]
[null,null,null,"vega",0.27518286727804664,{"$f":"IF(F8<>\"\",IF(F8=\"underlying\",0,vega_bs(F8,F9,F11,F12,F13,F10,F15)),\"\")","v":9.7957120125743952E-2},{"$f":"IF(G8<>\"\",IF(G8=\"underlying\",0,vega_bs(G8,G9,G11,G12,G13,G10,G15)),\"\")","v":4.7643119891607896E-2},{"$f":"IF(H8<>\"\",IF(H8=\"underlying\",0,vega_bs(H8,H9,H11,H12,H13,H10,H15)),\"\")","v":4.4305502134291399E-3},{"$f":"IF(I8<>\"\",IF(I8=\"underlying\",0,vega_bs(I8,I9,I11,I12,I13,I10,I15)),\"\")","v":2.3875922701148439E-2},{"$f":"IF(J8<>\"\",IF(J8=\"underlying\",0,vega_bs(J8,J9,J11,J12,J13,J10,J15)),\"\")","v":9.89242345417118E-2},{"$f":"IF(K8<>\"\",IF(K8=\"underlying\",0,vega_bs(K8,K9,K11,K12,K13,K10,K15)),\"\")","v":5.6157984549773145E-3},{"$f":"IF(L8<>\"\",IF(L8=\"underlying\",0,vega_bs(L8,L9,L11,L12,L13,L10,L15)),\"\")","v":7.1306339017432857E-2},{"$f":"IF(M8<>\"\",IF(M8=\"underlying\",0,vega_bs(M8,M9,M11,M12,M13,M10,M15)),\"\")","v":0},{"$f":"IF(N8<>\"\",IF(N8=\"underlying\",0,vega_bs(N8,N9,N11,N12,N13,N10,N15)),\"\")","v":5.9475935882025828E-2},{"$f":"IF(O8<>\"\",IF(O8=\"underlying\",0,vega_bs(O8,O9,O11,O12,O13,O10,O15)),\"\")","v":8.9919316354820453E-3}]
[null,null,null,"theta (per 1 day)",-4.6868757784207966E-2,{"$f":"IF(F8<>\"\",IF(F8=\"underlying\",0,theta_bs(F8,F9,F11,F12,F13,F10,F15)/365),\"\")","v":-1.3704399897654884E-2},{"$f":"IF(G8<>\"\",IF(G8=\"underlying\",0,theta_bs(G8,G9,G11,G12,G13,G10,G15)/365),\"\")","v":-4.6423692759354849E-3},{"$f":"IF(H8<>\"\",IF(H8=\"underlying\",0,theta_bs(H8,H9,H11,H12,H13,H10,H15)/365),\"\")","v":-5.2592092789669051E-4},{"$f":"IF(I8<>\"\",IF(I8=\"underlying\",0,theta_bs(I8,I9,I11,I12,I13,I10,I15)/365),\"\")","v":3.6167983659902824E-3},{"$f":"IF(J8<>\"\",IF(J8=\"underlying\",0,theta_bs(J8,J9,J11,J12,J13,J10,J15)/365),\"\")","v":-1.3429306610685088E-2},{"$f":"IF(K8<>\"\",IF(K8=\"underlying\",0,theta_bs(K8,K9,K11,K12,K13,K10,K15)/365),\"\")","v":-5.7700138834116115E-4},{"$f":"IF(L8<>\"\",IF(L8=\"underlying\",0,theta_bs(L8,L9,L11,L12,L13,L10,L15)/365),\"\")","v":-9.0055675506426625E-3},{"$f":"IF(M8<>\"\",IF(M8=\"underlying\",0,theta_bs(M8,M9,M11,M12,M13,M10,M15)/365),\"\")","v":0},{"$f":"IF(N8<>\"\",IF(N8=\"underlying\",0,theta_bs(N8,N9,N11,N12,N13,N10,N15)/365),\"\")","v":-2.8919106948190709E-3},{"$f":"IF(O8<>\"\",IF(O8=\"underlying\",0,theta_bs(O8,O9,O11,O12,O13,O10,O15)/365),\"\")","v":-7.7602216241136196E-3}]
[null,null,null,"rho",0.23934189248228713,{"$f":"IF(F8<>\"\",IF(F8=\"underlying\",0,rho_bs(F8,F9,F11,F12,F13,0,F15)),\"\")","v":6.3456197382875001E-2},{"$f":"IF(G8<>\"\",IF(G8=\"underlying\",0,rho_bs(G8,G9,G11,G12,G13,0,G15)),\"\")","v":-1.4654491020471361E-2},{"$f":"IF(H8<>\"\",IF(H8=\"underlying\",0,rho_bs(H8,H9,H11,H12,H13,0,H15)),\"\")","v":7.5684534410268344E-4},{"$f":"IF(I8<>\"\",IF(I8=\"underlying\",0,rho_bs(I8,I9,I11,I12,I13,0,I15)),\"\")","v":-0.14106776998765247},{"$f":"IF(J8<>\"\",IF(J8=\"underlying\",0,rho_bs(J8,J9,J11,J12,J13,0,J15)),\"\")","v":5.484881238613501E-2},{"$f":"IF(K8<>\"\",IF(K8=\"underlying\",0,rho_bs(K8,K9,K11,K12,K13,0,K15)),\"\")","v":-1.0569648997671619E-3},{"$f":"IF(L8<>\"\",IF(L8=\"underlying\",0,rho_bs(L8,L9,L11,L12,L13,0,L15)),\"\")","v":2.4359422345877731E-2},{"$f":"IF(M8<>\"\",IF(M8=\"underlying\",0,rho_bs(M8,M9,M11,M12,M13,0,M15)),\"\")","v":0},{"$f":"IF(N8<>\"\",IF(N8=\"underlying\",0,rho_bs(N8,N9,N11,N12,N13,0,N15)),\"\")","v":-9.4466514177207014E-2},{"$f":"IF(O8<>\"\",IF(O8=\"underlying\",0,rho_bs(O8,O9,O11,O12,O13,0,O15)),\"\")","v":3.5721833092147028E-2}]
[null,null,null,"Underlying prices","Portfolio","p1","p2","p3","p4","p5","p6","p7","p8","p9","p10"]
[null,null,null,0,{"$f":"SUM(F24:O24)","v":-64.924838733805075},{"$f":"IF(F$8<>\"\",(IF(F$8=\"call\",MAX($D24-F$11,0),IF(F$8=\"put\",MAX(F$11-$D24,0),IF(F$8=\"underlying\",$D24)))-F$16)*F$7,\"\")","v":-2.2255354396383993},{"$f":"IF(G$8<>\"\",(IF(G$8=\"call\",MAX($D24-G$11,0),IF(G$8=\"put\",MAX(G$11-$D24,0),IF(G$8=\"underlying\",$D24)))-G$16)*G$7,\"\")","v":-44.715050629100539},-9.8804866598095065E-3,-50.49844485189606,-1.7502994258852311,39.985892025749393,-0.55893846607841802,-50,50.025530018919561,-5.1781114792155591]
[null,null,null,5,{"$f":"SUM(F25:O25)","v":-59.924838733805068},{"$f":"IF(F$8<>\"\",(IF(F$8=\"call\",MAX($D25-F$11,0),IF(F$8=\"put\",MAX(F$11-$D25,0),IF(F$8=\"underlying\",$D25)))-F$16)*F$7,\"\")","v":-2.2255354396383993},-39.715050629100539,-9.8804866598095065E-3,-45.49844485189606,-1.7502994258852311,34.985892025749393,-0.55893846607841802,-45,45.025530018919561,-5.1781114792155591]
[null,null,null,10,-54.924838733805068,-2.2255354396383993,-34.715050629100539,-9.8804866598095065E-3,-40.49844485189606,-1.7502994258852311,29.98589202574939,-0.55893846607841802,-40,40.025530018919561,-5.1781114792155591,null,3,"Last and least, you can complete the amount of instrument 8 to make the whole portfolio"]
[null,null,null,15,-49.924838733805068,-2.2255354396383993,-29.715050629100542,-9.8804866598095065E-3,-35.49844485189606,-1.7502994258852311,24.98589202574939,-0.55893846607841802,-35,35.025530018919561,-5.1781114792155591,null,null,"delta-neutral."]
[null,null,null,20,-44.924838733805068,-2.2255354396383993,-24.715050629100542,-9.8804866598095065E-3,-30.49844485189606,-1.7502994258852311,19.98589202574939,-0.55893846607841802,-30,30.025530018919561,-5.1781114792155591]
[null,null,null,25,-39.924838733805068,-2.2255354396383993,-19.715050629100542,-9.8804866598095065E-3,-25.49844485189606,-1.7502994258852311,14.985892025749392,-0.55893846607841802,-25,25.025530018919561,-5.1781114792155591]
[null,null,null,30,-34.924838733805068,-2.2255354396383993,-14.715050629100542,-9.8804866598095065E-3,-20.49844485189606,-1.7502994258852311,9.9858920257493917,-0.55893846607841802,-20,20.025530018919561,-5.1781114792155591]
[null,null,null,35,-29.924838733805068,-2.2255354396383993,-9.7150506291005421,-9.8804866598095065E-3,-15.49844485189606,-1.7502994258852311,4.9858920257493917,-0.55893846607841802,-15,15.025530018919561,-5.1781114792155591]
[null,null,null,40,-24.924838733805068,-2.2255354396383993,-4.7150506291005412,-9.8804866598095065E-3,-10.49844485189606,-1.7502994258852311,-1.410797425060839E-2,-0.55893846607841802,-10,10.025530018919561,-5.1781114792155591]
[null,null,null,45,-14.924838733805066,-2.2255354396383993,0.28494937089945882,-9.8804866598095065E-3,-5.4984448518960605,-1.7502994258852311,-1.410797425060839E-2,-0.55893846607841802,-5,5.0255300189195609,-5.1781114792155591]
[null,null,null,50,-4.9248387338050659,-2.2255354396383993,0.28494937089945882,-9.8804866598095065E-3,-0.49844485189606047,-1.7502994258852311,-1.410797425060839E-2,-0.55893846607841802,0,2.553001891956086E-2,-0.17811147921555914]
[null,null,null,55,14.075161266194934,2.7744645603616007,0.28494937089945882,-9.8804866598095065E-3,4.5015551481039395,2.2497005741147689,-1.410797425060839E-2,-0.55893846607841802,5,-4.9744699810804391,4.8218885207844409]
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