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["SIMULATION EXAMPLES"]
["1. Simulate the Normally distributed annually compounded ROR on a stock",null,null,null,null,null,null,null,null,null,"2. Simulate the result of rolling two six sided dice then adding the "]
["with annual expected value (mean) and standard deviation (StDev) as below.",null,null,null,null,null,null,null,null,null,"two results together. The probability of any side coming up is 1/6."]
["The ROR every year changes and is not dependent on the previous year's ROR."]
["Use the simulated RORs to forecast the value of the stock in ten years.",null,null,null,null,null,null,null,null,null,"Discrete Outcomes",null,null,null,null,"Simulated Distribution"]
[null,"Normally Distributed ROR",null,null,null,null,null,null,null,null,"Probability","Outcome",null,null,null,"Bins","Counts","Prob"]
[null,"Mean",0.1,null,null,null,null,null,null,null,{"$f":"(L7-1)/6","v":0},1,null,null,null,2,{"$f":"FREQUENCY(OBS,P7:P17)","v":0},{"$f":"Q7/10000","v":0}]
[null,"StDev",0.2,null,null,null,null,null,null,null,{"$f":"(L8-1)/6","v":0.16666666666666666},2,null,null,null,3,0,0]
[null,"Rand",{"$f":"RAND()","v":0.28966708632213189},{"$f":"getformula(C9)","v":"<--  =RAND()"},null,null,null,null,null,null,0.33333333333333331,3,null,null,null,4,0,0]
[null,"Simulated",{"$f":"_xlfn.NORM.INV(C9,$C$7,$C$8)","v":-1.0871509727918921E-2},{"$f":"getformula(C10)","v":"<--  =NORM.INV(C9,$C$7,$C$8)"},null,null,null,null,null,null,0.5,4,null,null,null,5,0,0]
[null,null,{"$f":"_xlfn.NORM.DIST(C10,$C$7,$C$8,1)","v":0.28966708632213178},{"$f":"getformula(C11)","v":"<--  =NORM.DIST(C10,$C$7,$C$8,1)"},null,null,null,null,null,null,0.66666666666666663,5,null,null,null,6,0,0]
[null,null,null,null,null,null,null,null,null,null,0.83333333333333337,6,null,null,null,7,0,0]
[null,"Year End","ROR","Price",null,null,null,null,null,null,null,null,null,null,null,8,1,1E-4]
[null,0,null,50,null,null,null,null,null,null,"Rand #1",{"$f":"RAND()","v":8.691427187469325E-2},{"$f":"getformula(L14)","v":"<--  =RAND()"},null,null,9,0,0]
[null,1,{"$f":"_xlfn.NORM.INV(RAND(),$C$7,$C$8)","v":0.15178291246434308},{"$f":"D14*(1+C15)","v":57.589145623217149},null,null,null,null,null,null,"Rand #2",{"$f":"RAND()","v":0.2022481529720217},{"$f":"getformula(L15)","v":"<--  =RAND()"},null,null,10,3,2.9999999999999997E-4]
[null,2,{"$f":"_xlfn.NORM.INV(RAND(),$C$7,$C$8)","v":0.20851302566787999},{"$f":"D15*(1+C16)","v":69.597232622742311},null,null,null,null,null,null,"Die # 1",{"$f":"VLOOKUP(L14,$K$7:$L$12,2)","v":1},{"$f":"getformula(L16)","v":"<--  =VLOOKUP(L14,$K$7:$L$12,2)"},null,null,11,0,0]
[null,3,0.19324570499168595,83.046598906394522,null,null,null,null,null,null,"Die # 2",{"$f":"VLOOKUP(L15,$K$7:$L$12,2)","v":2},{"$f":"getformula(L17)","v":"<--  =VLOOKUP(L15,$K$7:$L$12,2)"},null,null,12,1,1E-4]
[null,4,0.13365258163985019,94.145991246643305,null,null,null,null,null,null,"Total",{"$f":"L16+L17","v":3},"<-- Simulate this result!"]
[null,5,-0.15066348185574266,79.961628402663763,null,"Expected Price"]
[null,6,3.4624201735905066E-2,82.730235955609075,null,{"$f":"D14*(1+C7)^10","v":129.6871230050001}]
[null,7,0.15800289908849893,95.801853078870877,null,null,null,"Average of 10,000 Prices"]
[null,8,0.34652640933426393,128.99972523386069,null,null,null,{"$f":"AVERAGE(OBS)","v":129.20863650149496}]
[null,9,0.24534927783322,160.6497146606722]
[null,10,-0.25232712436292237,{"$f":"D23*(1+C24)","v":120.11343413062077},"<-- Simulate this result!"]
[]
["Two-Way Data Table: Formula cell is the simulated variable"]
["DUM1","DUM2",null,"The 10,000 Table Array cells have the Range Name: OBS"]
[{"$f":"D24","v":120.11343413062077},1,2,3,4,5,6,7,8,9,10,null,"Simulated Distribution"]
[1,132.47635442141134,70.425623550178344,87.673815180114687,78.821432382621566,66.65767338456439,252.72547383631957,119.59134765909954,59.857142872801035,68.870858997240674,39.663867682725055,null,0,{"$f":"T31+$R$32","v":40.248511383701363},{"$f":"FREQUENCY(OBS,N29:N55)","v":573},null,null,null,"Mean of 10,000 Simulations",{"$f":"AVERAGE(OBS)","v":129.20863650149496}]
[2,96.820687231567604,92.550873627315255,58.38101998419863,126.79409941720611,132.18014103194582,86.045846220896564,68.652916329447109,116.66552010585849,32.290121473889322,84.782503302013197,null,1,{"$f":"N29+$R$32","v":72.531660782793438},1895,null,null,null,"StDev of 10,000 Simulations",{"$f":"_xlfn.STDEV.S(OBS)","v":79.645061147195676}]
[3,80.666792206475577,123.44365918723825,123.9814112647137,133.26663436803054,168.38776517108491,382.06123074047514,65.8948406527212,24.098184811125755,236.144556324631,220.02782475566002,null,2,104.81481018188552,2109,null,null,null,"Minimum",{"$f":"MIN(OBS)","v":7.965361984609288}]
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