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{"sheet":"Option Payoff","index":0,"n_rows":30,"n_cols":6,"rows_kept":30,"cut":false,"hidden":false,"merged":[[0,0,0,5],[17,0,17,5]]}
["Call Option Payoff Patterns"]
[]
[null,"Time 0         ",null,"Time T"]
[]
[]
[null,"Purchase call option,\ncash flow < 0",null,"Terminal call payoff,\nMax[ST - X,0] > 0"]
[null,null,null,null,null,"Cash flows\nof call buyer"]
[null,null,"Between times 0 and T:\nCash flow = 0 for European option\nCash flow > 0 for American option"]
[]
[]
[null,"Write (I.e., issue) call option,\ncash flow > 0",null,"Pay terminal call payoff\n- Max[ST - X, 0] < 0"]
[null,null,null,null,null,"Cash flows\nof call writer"]
[null,null,"Between times 0 and T:\nCash flow = 0 for European option\nCash flow < 0 for American option"]
[]
[]
[]
[]
["Put Option Payoff Patterns"]
[]
[null,"Time 0         ",null,"Time T"]
[]
[]
[null,"Purchase put option,\ncash flow < 0",null,"Terminal put payoff,\nMax[X - ST,0] > 0"]
[null,null,null,null,null,"Cash flows\nof put buyer"]
[null,null,"Between times 0 and T:\nCash flow = 0 for European option\nCash flow > 0 for American option"]
[]
[]
[null,"Write (I.e., issue) call option,\ncash flow > 0",null,"Pay terminal call payoff\n- Max[X - ST, 0] < 0"]
[null,null,null,null,null,"Cash flows\nof put writer"]
[null,null,"Between times 0 and T:\nCash flow = 0 for European option\nCash flow < 0 for American option"]

{"sheet":"Payoff Pattern","index":1,"n_rows":41,"n_cols":7,"rows_kept":41,"cut":false,"hidden":false,"merged":[]}
[]
["Initial stock price S0",40]
["Terminal Stock Price St",70]
[]
["Profit from buying stock",{"$f":"B3-B2","v":30}]
["Profit from shorting the stock",{"$f":"B2-B3","v":-30}]
[]
["Call exercise price",40]
["Call price",4]
["Profit from buying call",{"$f":"MAX(B3-B8,0)-B9","v":26}]
["Profit from selling call",{"$f":"B9-MAX(B3-B8,0)","v":-26}]
[]
["Put exercise price",40]
["Put price",2]
["Profit from buying put",{"$f":"MAX(B13-B3,0)-B14","v":-2}]
["Profit from selling put",{"$f":"B14-MAX(B13-B3,0)","v":2}]
[]
[]
[null,"Profit from buying stock","Profit from shorting the stock","Profit from buying call","Profit from selling call","Profit from buying put","Profit from selling put"]
["Terminal stock price",{"$f":"B5","v":30},{"$f":"B6","v":-30},{"$f":"B10","v":26},{"$f":"B11","v":-26},{"$f":"B15","v":-2},{"$f":"B16","v":2}]
[0,-40,40,-4,4,38,-38]
[5,-35,35,-4,4,33,-33]
[10,-30,30,-4,4,28,-28]
[15,-25,25,-4,4,23,-23]
[20,-20,20,-4,4,18,-18]
[25,-15,15,-4,4,13,-13]
[30,-10,10,-4,4,8,-8]
[35,-5,5,-4,4,3,-3]
[40,0,0,-4,4,-2,2]
[45,5,-5,1,-1,-2,2]
[50,10,-10,6,-6,-2,2]
[55,15,-15,11,-11,-2,2]
[60,20,-20,16,-16,-2,2]
[65,25,-25,21,-21,-2,2]
[70,30,-30,26,-26,-2,2]
[75,35,-35,31,-31,-2,2]
[80,40,-40,36,-36,-2,2]
[85,45,-45,41,-41,-2,2]
[90,50,-50,46,-46,-2,2]
[95,55,-55,51,-51,-2,2]
[100,60,-60,56,-56,-2,2]

{"sheet":"Protective Put","index":2,"n_rows":35,"n_cols":4,"rows_kept":35,"cut":false,"hidden":false,"merged":[]}
[]
["Initial stock price S0",40]
["Terminal Stock Price St",30]
[]
["Put exercise price",40]
["Put price",2]
[]
[]
["Profit from buying stock",{"$f":"B3-B2","v":-10}]
["Profit from buying put",{"$f":"MAX(B5-B3,0)-B6","v":8}]
["Profit from buying protective put",{"$f":"B9+B10","v":-2},"Synthetic long call"]
[]
[null,"Profit from buying stock","Profit from buying put","Profit from buying protective put"]
["Terminal Stock Price St",{"$f":"B9","v":-10},{"$f":"B10","v":8},{"$f":"B11","v":-2}]
[0,-40,38,-2]
[5,-35,33,-2]
[10,-30,28,-2]
[15,-25,23,-2]
[20,-20,18,-2]
[25,-15,13,-2]
[30,-10,8,-2]
[35,-5,3,-2]
[40,0,-2,-2]
[45,5,-2,3]
[50,10,-2,8]
[55,15,-2,13]
[60,20,-2,18]
[65,25,-2,23]
[70,30,-2,28]
[75,35,-2,33]
[80,40,-2,38]
[85,45,-2,43]
[90,50,-2,48]
[95,55,-2,53]
[100,60,-2,58]

{"sheet":"Bull Spread","index":3,"n_rows":37,"n_cols":4,"rows_kept":37,"cut":false,"hidden":false,"merged":[]}
[]
["Terminal Stock Price St",60]
[]
["Call 1 Exercise price",40]
["Call 1 Price",4]
[]
["Call 2 Exercise price",50]
["Call 2 Price",2]
[]
["Profit from buying call 1",{"$f":"MAX(B2-B4,0)-B5","v":16}]
["Profit from selling call 2",{"$f":"B8-MAX(B2-B7,0)","v":-8}]
["Bull spread",{"$f":"B10+B11","v":8},"Optimistic strategy, designed to profit from a moderate increase in price"]
[]
[]
[null,"Profit from buying call 1","Profit from selling call 2","Bull spread"]
["Terminal Stock Price St",{"$f":"MAX(B2-B4,0)-B5","v":16},{"$f":"B8-MAX(B2-B7,0)","v":-8},{"$f":"B10+B11","v":8}]
[0,-4,2,-2]
[5,-4,2,-2]
[10,-4,2,-2]
[15,-4,2,-2]
[20,-4,2,-2]
[25,-4,2,-2]
[30,-4,2,-2]
[35,-4,2,-2]
[40,-4,2,-2]
[45,1,2,3]
[50,6,2,8]
[55,11,-3,8]
[60,16,-8,8]
[65,21,-13,8]
[70,26,-18,8]
[75,31,-23,8]
[80,36,-28,8]
[85,41,-33,8]
[90,46,-38,8]
[95,51,-43,8]
[100,56,-48,8]

{"sheet":"Black-Scholes","index":4,"n_rows":41,"n_cols":4,"rows_kept":41,"cut":false,"hidden":false,"merged":[]}
[]
["Common stock price S",50]
["Exercise price X",45]
["Risk-free rate r",0.04]
["Time to maturity T",0.75]
["Stock volatility sigma",0.3]
[]
[]
["d1",{"$f":"(LN(B2/B3)+(B4+B6^2/2)*B5)/(B6*SQRT(B5))","v":0.65090667825228321}]
["d2",{"$f":"B9-B6*SQRT(B5)","v":0.39109905711695164}]
[]
["N(d1)",{"$f":"NORMSDIST(B9)","v":0.74244663489664375}]
["N(d2)",{"$f":"NORMSDIST(B10)","v":0.65213799122144234}]
[]
["Call Price",{"$f":"B2*B12-B3*EXP(-B4*B5)*B13","v":8.6434337071156619}]
["Put Price",{"$f":"B15+B3*EXP(-B4*B5)-B2","v":2.3134827167985321},null,"Put-call parity"]
[null,null,null,"P+S=C+Xe(-rT)"]
[]
[]
[null,"Call Price","Option's intrinsic value"]
["Current stock price",{"$f":"B15","v":8.6434337071156619},{"$f":"MAX(B2-B3,0)","v":5}]
[5,1.6271103795261353E-17,0]
[10,6.2724512246643584E-9,0]
[15,2.8392918447725339E-5,0]
[20,2.8537602395158762E-3,0]
[25,4.8405224028071792E-2,0]
[30,0.31005154938344548,0]
[35,1.1076855598914648,0]
[40,2.7318630834502908,0]
[45,5.2776725210471618,0]
[50,8.6434337071156619,5]
[55,12.6307309804506,10]
[60,17.037833435617188,15]
[65,21.705621303373071,20]
[70,26.525589687810623,25]
[75,31.430439448391141,30]
[80,36.381069196126973,35]
[85,41.355789404586439,40]
[90,46.342962710371559,45]
[95,51.336492839898362,50]
[100,56.333240246824879,55]

{"sheet":"BSM VBA","index":5,"n_rows":33,"n_cols":9,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
["Stock Price",50,null,null,null,null,null,null,"Observed call price"]
["Exercise Price",45,null,null,null,null,null,null,7.6]
["Interest rate",0.04,null,null,null,null,null,null,"Implied volatility"]
["Dividend yield",0.02,null,null,null,null,null,null,{"$f":"ImpliedVol(1,B1,B2,B3,B4,B5,I2)","v":0.27000000000000007}]
["Time to maturity T",0.75]
["Sigma",0.3]
[]
["Call price",{"$f":"BSMOptPrice(1,B1,B2,B3,B4,B5,B6)","v":8.0977585519449988}]
["Put price",{"$f":"BSMOptPrice(-1,B1,B2,B3,B4,B5,B6)","v":2.51221058147474}]
[]
[]
[null,"Call price","Put price"]
["Stock price",{"$f":"B8","v":8.0977585519449988},{"$f":"B9","v":2.51221058147474}]
[5,9.8292212154202784E-18,38.744489311667557]
[10,4.3961414837898463E-9,33.818929618048386]
[15,2.1653845011285991E-5,28.893391569481945]
[20,2.3057501828009121E-3,23.970115967804418]
[25,4.0811811040176948E-2,19.083062330646484]
[30,0.27007930051533613,14.386770122106327]
[35,0.9896924502563218,10.180823573832004]
[40,2.4898243636956288,6.7553957892559993]
[45,4.8852620469068775,4.2252737744519351]
[50,8.0977585519449988,2.51221058147474]
[55,11.944028386261408,1.4329207177758381]
[60,16.227450186897897,0.79078282039700376]
[65,20.787608088251091,0.42538102373488496]
[70,25.512213767824335,0.22442700529281634]
[75,30.33006854378268,0.11672208323585864]
[80,35.198995764361271,6.0089605799140355E-2]
[85,40.095188260313599,3.0722403736131776E-2]
[90,45.005667083658309,1.5641529065541504E-2]
[95,49.923532226437196,7.9469738291060438E-3]
[100,54.845181120900762,4.03617027737109E-3]

{"sheet":"Greeks","index":6,"n_rows":64,"n_cols":21,"rows_kept":64,"cut":false,"hidden":false,"merged":[]}
["Stock Price",50,null,null,null,null,null,"Call theta","Put theta",null,null,null,null,null,null,null,null,null,"Call delta","Put delta"]
["Exercise Price",45,null,null,null,null,"Theta with stock price",{"$f":"B15","v":-3.2432356355284107},{"$f":"C15","v":-2.4815456147441584},null,null,null,null,null,null,null,null,"Delta with stock price",{"$f":"B12","v":0.70208518172268186},{"$f":"C12","v":-0.26836035182582629}]
["Interest rate",0.04,null,null,null,null,5,-4.8757751408488297E-16,1.6482907664270079,null,null,null,null,null,null,null,null,5,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Dividend yield",0.02,null,null,null,null,10,-1.0649231218158199E-7,1.54977946597439,null,null,null,null,null,null,null,null,10,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Time to maturity T",0.75,null,null,null,null,20,-1.8982893102684504E-2,1.333774291443405,null,null,null,null,null,null,null,null,20,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Sigma",0.3,null,null,null,null,30,-0.83502678012139708,0.32070801650407987,null,null,null,null,null,null,null,null,30,{"$error":"#NAME?"},{"$error":"#NAME?"}]
[null,null,null,null,null,null,40,-2.8402490248043928,-1.8815366160995284,null,null,null,null,null,null,null,null,40,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Call price",{"$f":"BSMOptPrice(1,B1,B2,B3,B4,B5,B6)","v":8.0977585519449988},null,null,null,null,50,-3.2432356355284107,-2.4815456147441584,null,null,null,null,null,null,null,null,50,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Put price",{"$f":"BSMOptPrice(-1,B1,B2,B3,B4,B5,B6)","v":2.51221058147474},null,null,null,null,60,-2.183558611123892,-1.6188909782602525,null,null,null,null,null,null,null,null,60,{"$error":"#NAME?"},{"$error":"#NAME?"}]
[null,null,null,null,null,null,70,-1.1193257102608802,-0.7516804653178536,null,null,null,null,null,null,null,null,70,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Greeks","Call","Put",null,null,null,80,-0.45944181340100965,-0.2888189563785955,null,null,null,null,null,null,null,null,80,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Delta",{"$f":"DeltaC(B1,B2,B3,B4,B5,B6)","v":0.70208518172268186},{"$f":"deltap(B1,B2,B3,B4,B5,B6)","v":-0.26836035182582629},null,null,null,90,-7.3044825043787398E-2,-9.9444355941985807E-2,null,null,null,null,null,null,null,null,90,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Gamma",{"$f":"BSMGamma(B1,B2,B3,B4,B5,B6)","v":2.5372890108145918E-2},null,null,null,null,100,0.19128410463204926,-3.2137814186761482E-2,null,null,null,null,null,null,null,null,100,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Vega",{"$f":"vega(B1,B2,B3,B4,B5,B6)","v":14.272250685832075},null,null,null,null,110,0.41041421479872064,-1.0030091940702254E-2,null,null,null,null,null,null,null,null,110,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Theta",{"$f":"thetac(B1,B2,B3,B4,B5,B6)","v":-3.2432356355284107},{"$f":"thetap(B1,B2,B3,B4,B5,B6)","v":-2.4815456147441584},null,null,null,120,0.61438822786910352,-3.0784667909323944E-3,null,null,null,null,null,null,null,null,120,{"$error":"#NAME?"},{"$error":"#NAME?"}]
["Rho",{"$f":"rho(1,B1,B2,B3,B4,B5,B6)","v":20.652775102533582},{"$f":"rho(-1,B1,B2,B3,B4,B5,B6)","v":-12.099761654728569},null,null,null,130,0.81354879336269748,-9.4028921795078944E-4,null,null,null,null,null,null,null,null,130,{"$error":"#NAME?"},{"$error":"#NAME?"}]
[null,null,null,null,null,null,140,1.0112233923476066,-2.8807815365501454E-4,null,null,null,null,null,null,null,null,140,{"$error":"#NAME?"},{"$error":"#NAME?"}]
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[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,"Call Theta with time to expiration","In-the-money","At-the-money","Out-of-Money",null,null,null,null,null,null,null,"Call Delta with time to expiration","In-the-money","At-the-money","Out-of-Money"]
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