{"text_format":"1","workbook":"xlsx","n_sheets":4,"sheets":["European Put","American Put","difference","T=0,5"],"not_rendered":{"charts":4,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"European Put","index":0,"n_rows":29,"n_cols":28,"rows_kept":29,"cut":false,"hidden":false,"merged":[[0,0,0,1]]}
["Input",null,null,"Output"]
["Stock price S =",100,null,"European Put "]
["Strike price K =",105,null,{"$f":"Binom(0,0,B2,B3,B4,B5,B6,B7)","v":11.88611134640575}]
["Maturity T =",0.5]
["interest rate r =",0.03]
["Volatility vol =",0.35]
["Number of steps N =",12]
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[null,null,null,null,null,null,null,null,"up factor",{"$f":"EXP(0.35*SQRT(0.25))","v":1.1912462166123581},null,null,"down factor",{"$f":"EXP(-0.35*SQRT(0.25))","v":0.83945702076920736}]
[]
[]
[]
[]
[]
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{"sheet":"American Put","index":1,"n_rows":29,"n_cols":28,"rows_kept":29,"cut":false,"hidden":false,"merged":[[0,0,0,1]]}
["Input",null,null,"Output"]
["Stock price S =",100,null,"American Put "]
["Strike price K =",105,null,{"$f":"Binom(1,0,B2,B3,B4,B5,B6,B7)","v":12.060800427340924}]
["Maturity T =",0.5]
["interest rate r =",0.03]
["Volatility vol =",0.35]
["Number of steps N =",12]
[null,null,null,null,null,null,"Smax",{"$f":"100*EXP(12*0.35*SQRT(0.25))","v":816.61699125676466},null,null,"Smin",{"$f":"100*EXP(-12*0.35*SQRT(0.25))","v":12.245642825298194}]
[null,null,null,null,null,null,"up factor",{"$f":"EXP(0.35*SQRT(0.25))","v":1.1912462166123581},null,null,"down factor",{"$f":"EXP(-0.35*SQRT(0.25))","v":0.83945702076920736}]
["European ="]
[]
[]
[]
[]
[]
[null,null,null,"Smin",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Smax"]
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["Difference Between American And European"]
[]
["         S               T",{"$f":"C3*'European Put'!$N$9","v":12.245642825298189},{"$f":"D3*'European Put'!$N$9","v":14.587575685622737},{"$f":"E3*'European Put'!$N$9","v":17.377394345044511},{"$f":"F3*'European Put'!$N$9","v":20.700755268115259},{"$f":"G3*'European Put'!$N$9","v":24.659696394160644},{"$f":"H3*'European Put'!$N$9","v":29.375770032353277},{"$f":"I3*'European Put'!$N$9","v":34.99377491111553},{"$f":"J3*'European Put'!$N$9","v":41.686201967850835},{"$f":"K3*'European Put'!$N$9","v":49.658530379140949},{"$f":"L3*'European Put'!$N$9","v":59.155536436681508},{"$f":"M3*'European Put'!$N$9","v":70.46880897187134},{"$f":"N3*'European Put'!$N$9","v":83.945702076920739},100,{"$f":"N3*'European Put'!$J$9","v":119.12462166123581},{"$f":"O3*'European Put'!$J$9","v":141.9067548593257},{"$f":"P3*'European Put'!$J$9","v":169.04588483790911},{"$f":"Q3*'European Put'!$J$9","v":201.37527074704761},{"$f":"R3*'European Put'!$J$9","v":239.88752939670974},{"$f":"S3*'European Put'!$J$9","v":285.76511180631633},{"$f":"T3*'European Put'!$J$9","v":340.4166082790818},{"$f":"U3*'European Put'!$J$9","v":405.51999668446734},{"$f":"V3*'European Put'!$J$9","v":483.07416181102769},{"$f":"W3*'European Put'!$J$9","v":575.46026760057282},{"$f":"X3*'European Put'!$J$9","v":685.51486658991746},{"$f":"Y3*'European Put'!$J$9","v":816.61699125676455}]
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["American And European Option Value at T=0.5"]