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["Optimal Stop",null,"Paths","Stopped","At","Payoffs","Put Price"]
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["Stock price S_0 = ",10,"dddduuuuud","dddd",4,7.375]
["Strike price K = ",8,"dddduuuudu","dddd",4,7.375]
["No. of Periods N = ",10,"dddduuuudd","dddd",4,7.375]
["Up factor u = ",2.5,"dddduuuduu","dddd",4,7.375]
["Down factor d = ",0.5,"dddduuudud","dddd",4,7.375]
["Period interest i = ",0.01,"dddduuuddu","dddd",4,7.375]
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["Sort on column E or F? (E/F)","F","dddduuduuu","dddd",4,7.375]
["ascending/descending? (A/D)","D","dddduuduud","dddd",4,7.375]
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["  Enter data in yellow cells",null,"dddduuddud","dddd",4,7.375]
["  with N < 14. Stopped paths",null,"dddduudddu","dddd",4,7.375]
["  appear in column D, payoffs",null,"dddduudddd","dddd",4,7.375]
["  in column F.",null,"dddduduuuu","dddd",4,7.375]
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["10 seems the largest no. of periods",null,"ddddududdu","dddd",4,7.375]
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[null,null,"ddudduuuud","ddudduuuu",9,0]
[null,null,"ddudduuudu","ddudduuudu",10,0]
[null,null,"ddudduuduu","ddudduuduu",10,0]
[null,null,"ddudduduuu","ddudduduuu",10,0]
[null,null,"ddduuuuuuu","ddduuuuu",8,0]
[null,null,"ddduuuuuud","ddduuuuu",8,0]
[null,null,"ddduuuuudu","ddduuuuu",8,0]
[null,null,"ddduuuuudd","ddduuuuu",8,0]
[null,null,"ddduuuuduu","ddduuuudu",9,0]
[null,null,"ddduuuudud","ddduuuudu",9,0]
[null,null,"ddduuuuddu","ddduuuuddu",10,0]
[null,null,"ddduuuduuu","ddduuuduu",9,0]
[null,null,"ddduuuduud","ddduuuduu",9,0]
[null,null,"ddduuududu","ddduuududu",10,0]
[null,null,"ddduuudduu","ddduuudduu",10,0]
[null,null,"ddduuduuuu","ddduuduuu",9,0]
[null,null,"ddduuduuud","ddduuduuu",9,0]
[null,null,"ddduuduudu","ddduuduudu",10,0]
[null,null,"ddduududuu","ddduududuu",10,0]
[null,null,"ddduudduuu","ddduudduuu",10,0]
[null,null,"ddduduuuuu","ddduduuuu",9,0]
[null,null,"ddduduuuud","ddduduuuu",9,0]
[null,null,"ddduduuudu","ddduduuudu",10,0]
[null,null,"ddduduuduu","ddduduuduu",10,0]
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[]
["v(3, 0, 0)  =  v_3(u^0*d^0*S(3) = f(u^0*d^0*S_3)","v(2, 0, 0)  =  v_2(u^0*d^0*S_2)  =  max( f(u^0*d^0*S_2),  a*v_3(u^1*d^0*S_2) +  b*v_3(u^0*d^1*S_2) )","v(1, 0, 0)  =  v_1(u^0*d^0*S_1)  =  max( f(u^0*d^0*S_1),  a*v_2(u^1*d^0*S_1) +  b*v_2(u^0*d^1*S_1) )","v(0, 0, 0)  =  v_0(u^0*d^0*S_0)  =  max( f(u^0*d^0*S_0),  a*v_1(u^1*d^0*S_0) +  b*v_1(u^0*d^1*S_0) )"]
["v(3, 1, 0)  =  v_3(u^1*d^0*S(2) = f(u^1*d^0*S_2)","                       =  max( f(u^0*d^0*S_2),                     a*v(3, 1, 0)             +           b*v(3, 0, 1) )","                       =  max( f(u^0*d^0*S_1),                     a*v(2, 1, 0)             +           b*v(2, 0, 1) )","                       =  max( f(u^0*d^0*S_0),                     a*v(1, 1, 0)             +           b*v(1, 0, 1) )"]
["v(3, 0, 1)  =  v_3(u^0*d^1*S(2) = f(u^0*d^1*S_2)","v(2, 1, 0)  =  v_2(u^1*d^0*S_1)  =  max( f(u^1*d^0*S_1),  a*v_3(u^2*d^0*S_1) +  b*v_3(u^1*d^1*S_1) )","v(1, 1, 0)  =  v_1(u^1*d^0*S_0)  =  max( f(u^1*d^0*S_0),  a*v_2(u^2*d^0*S_0) +  b*v_2(u^1*d^1*S_0) )"]
["v(3, 2, 0)  =  v_3(u^2*d^0*S(1) = f(u^2*d^0*S_1)","                       =  max( f(u^1*d^0*S_1),                     a*v(3, 2, 0)             +           b*v(3, 1, 1) )","                       =  max( f(u^1*d^0*S_0),                     a*v(2, 2, 0)             +           b*v(2, 1, 1) )"]
["v(3, 1, 1)  =  v_3(u^1*d^1*S(1) = f(u^1*d^1*S_1)","v(2, 0, 1)  =  v_2(u^0*d^1*S_1)  =  max( f(u^0*d^1*S_1),  a*v_3(u^1*d^1*S_1) +  b*v_3(u^0*d^2*S_1) )","v(1, 0, 1)  =  v_1(u^0*d^1*S_0)  =  max( f(u^0*d^1*S_0),  a*v_2(u^1*d^1*S_0) +  b*v_2(u^0*d^2*S_0) )"]
["v(3, 0, 2)  =  v_3(u^0*d^2*S(1) = f(u^0*d^2*S_1)","                       =  max( f(u^0*d^1*S_1),                     a*v(3, 1, 1)             +           b*v(3, 0, 2) )","                       =  max( f(u^0*d^1*S_0),                     a*v(2, 1, 1)             +           b*v(2, 0, 2) )"]
["v(3, 3, 0)  =  v_3(u^3*d^0*S(0) = f(u^3*d^0*S_0)","v(2, 2, 0)  =  v_2(u^2*d^0*S_0)  =  max( f(u^2*d^0*S_0),  a*v_3(u^3*d^0*S_0) +  b*v_3(u^2*d^1*S_0) )"]
["v(3, 2, 1)  =  v_3(u^2*d^1*S(0) = f(u^2*d^1*S_0)","                       =  max( f(u^2*d^0*S_0),                     a*v(3, 3, 0)             +           b*v(3, 2, 1) )"]
["v(3, 1, 2)  =  v_3(u^1*d^2*S(0) = f(u^1*d^2*S_0)","v(2, 1, 1)  =  v_2(u^1*d^1*S_0)  =  max( f(u^1*d^1*S_0),  a*v_3(u^2*d^1*S_0) +  b*v_3(u^1*d^2*S_0) )"]
["v(3, 0, 3)  =  v_3(u^0*d^3*S(0) = f(u^0*d^3*S_0)","                       =  max( f(u^1*d^1*S_0),                     a*v(3, 2, 1)             +           b*v(3, 1, 2) )"]
[null,"v(2, 0, 2)  =  v_2(u^0*d^2*S_0)  =  max( f(u^0*d^2*S_0),  a*v_3(u^1*d^2*S_0) +  b*v_3(u^0*d^3*S_0) )"]
[null,"                       =  max( f(u^0*d^2*S_0),                     a*v(3, 1, 2)             +           b*v(3, 0, 3) )"]

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[]
["Sample runs"]
[]
[null,null,"Paths","Stopped","At","Payoffs",null,"Book:"]
[null,null,"duuuuuuuuu","d",1,17,null,null,null,"duuu","d",1,9,7.0143899917602539,null,null,"uuuu","uu",2,0,4.0742254257202148,null,null,null,"dddduuuuuu","dddd",4,7.375,5.621525764465332]
["Stock price S_0 = ",10,"duuuuuuuud","d",1,17,null,"Stock price S_0 = ",10,"duud","d",1,9,null,null,10,"uuud","uu",2,0,null,null,"Stock price S_0 = ",10,"dddduuuuud","dddd",4,7.375]
["Strike price K = ",10,"duuuuuuudu","d",1,17,null,"Strike price K = ",12,"dudu","d",1,9,null,null,8,"uudu","uu",2,0,null,null,"Strike price K = ",8,"dddduuuudu","dddd",4,7.375]
["No. of Periods N = ",20,"duuuuuuudd","d",1,17,null,"No. of Periods N = ",4,"dudd","d",1,9,null,null,4,"uudd","uu",2,0,null,null,"No. of Periods N = ",10,"dddduuuudd","dddd",4,7.375]
["Up factor u = ",3,"duuuuuuduu","d",1,17,null,"Up factor u = ",3,"dduu","d",1,9,null,null,3,"dduu","dd",2,7.0999999046325684,null,null,"Up factor u = ",2.5,"dddduuuduu","dddd",4,7.375]
["Down factor d = ",0.3,"duuuuuudud","d",1,17,null,"Down factor d = ",0.3,"ddud","d",1,9,null,null,0.3,"ddud","dd",2,7.0999999046325684,null,null,"Down factor d = ",0.5,"dddduuudud","dddd",4,7.375]
["period interest i = ",0.1,"duuuuuuddu","d",1,17,null,"period interest i = ",0.1,"dddu","d",1,9,null,null,0.1,"dddu","dd",2,7.0999999046325684,null,null,"Period interest i = ",0.01,"dddduuuddu","dddd",4,7.375]
[null,null,"duuuuuuddd","d",1,17,null,null,null,"dddd","d",1,9,null,null,null,"dddd","dd",2,7.0999999046325684,null,null,null,null,"dddduuuddd","dddd",4,7.375]
[null,null,"duuuuuduuu","d",1,17,null,null,null,"uuuu","uuu",3,0,null,null,null,"uduu","udu",3,0,null,null,"Sort on column E or F? (E/F)","F","dddduuduuu","dddd",4,7.375]
[null,null,"duuuuuduud","d",1,17,null,null,null,"uuud","uuu",3,0,null,null,null,"udud","udu",3,0,null,null,"ascending/descending? (A/D)","D","dddduuduud","dddd",4,7.375]
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[null,null,"duuuuududd","d",1,17,null,null,null,"uddd","udd",3,9.2999992370605469,null,null,null,"uddd","udd",3,5.2999997138977051,null,null,null,null,"dddduududd","dddd",4,7.375]
[null,null,"duuuuudduu","d",1,17,null,null,null,"uudu","uudu",4,0,null,null,null,"duuu","duu",3,0,null,null,null,null,"dddduudduu","dddd",4,7.375]
[null,null,"duuuuuddud","d",1,17,null,null,null,"uudd","uudd",4,3.899998664855957,null,null,null,"duud","duu",3,0,null,null,null,null,"dddduuddud","dddd",4,7.375]
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[null,null,"duuuuudddd","d",1,17,null,null,null,"udud","udud",4,3.899998664855957,null,null,null,"dudd","dud",3,5.3000001907348633,null,null,null,null,"dddduudddd","dddd",4,7.375]
[null,null,"duuuuduuuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduduuuu","dddd",4,7.375]
[null,null,"duuuuduuud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduduuud","dddd",4,7.375]
[null,null,"duuuuduudu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduduudu","dddd",4,7.375]
[null,null,"duuuuduudd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduduudd","dddd",4,7.375]
[null,null,"duuuududuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddududuu","dddd",4,7.375]
[null,null,"duuuududud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddududud","dddd",4,7.375]
[null,null,"duuuududdu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddududdu","dddd",4,7.375]
[null,null,"duuuududdd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddududdd","dddd",4,7.375]
[null,null,"duuuudduuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddudduuu","dddd",4,7.375]
[null,null,"duuuudduud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddudduud","dddd",4,7.375]
[null,null,"duuuuddudu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduddudu","dddd",4,7.375]
[null,null,"duuuuddudd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduddudd","dddd",4,7.375]
[null,null,"duuuuddduu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduddduu","dddd",4,7.375]
[null,null,"duuuudddud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddudddud","dddd",4,7.375]
[null,null,"duuuuddddu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduddddu","dddd",4,7.375]
[null,null,"duuuuddddd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddduddddd","dddd",4,7.375]
[null,null,"duuuduuuuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduuuuu","dddd",4,7.375]
[null,null,"duuuduuuud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduuuud","dddd",4,7.375]
[null,null,"duuuduuudu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduuudu","dddd",4,7.375]
[null,null,"duuuduuudd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduuudd","dddd",4,7.375]
[null,null,"duuuduuduu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduuduu","dddd",4,7.375]
[null,null,"duuuduudud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduudud","dddd",4,7.375]
[null,null,"duuuduuddu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduuddu","dddd",4,7.375]
[null,null,"duuuduuddd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduuddd","dddd",4,7.375]
[null,null,"duuududuuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduduuu","dddd",4,7.375]
[null,null,"duuududuud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduduud","dddd",4,7.375]
[null,null,"duuudududu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddududu","dddd",4,7.375]
[null,null,"duuudududd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddududd","dddd",4,7.375]
[null,null,"duuududduu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddudduu","dddd",4,7.375]
[null,null,"duuududdud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddduddud","dddd",4,7.375]
[null,null,"duuududddu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddudddu","dddd",4,7.375]
[null,null,"duuududddd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddudddd","dddd",4,7.375]
[null,null,"duuudduuuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddduuuu","dddd",4,7.375]
[null,null,"duuudduuud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddduuud","dddd",4,7.375]
[null,null,"duuudduudu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddduudu","dddd",4,7.375]
[null,null,"duuudduudd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddduudd","dddd",4,7.375]
[null,null,"duuudduduu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddduduu","dddd",4,7.375]
[null,null,"duuuddudud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddddudud","dddd",4,7.375]
[null,null,"duuudduddu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddduddu","dddd",4,7.375]
[null,null,"duuudduddd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddduddd","dddd",4,7.375]
[null,null,"duuuddduuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddddduuu","dddd",4,7.375]
[null,null,"duuuddduud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddddduud","dddd",4,7.375]
[null,null,"duuudddudu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddddudu","dddd",4,7.375]
[null,null,"duuudddudd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddddudd","dddd",4,7.375]
[null,null,"duuudddduu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddddduu","dddd",4,7.375]
[null,null,"duuuddddud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ddddddddud","dddd",4,7.375]
[null,null,"duuudddddu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddddddu","dddd",4,7.375]
[null,null,"duuudddddd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dddddddddd","dddd",4,7.375]
[null,null,"duuduuuuuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"uddddduuuu","uddddd",6,7.21875]
[null,null,"duuduuuuud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"uddddduuud","uddddd",6,7.21875]
[null,null,"duuduuuudu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"uddddduudu","uddddd",6,7.21875]
[null,null,"duuduuuudd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"uddddduudd","uddddd",6,7.21875]
[null,null,"duuduuuduu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"uddddduduu","uddddd",6,7.21875]
[null,null,"duuduuudud","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"udddddudud","uddddd",6,7.21875]
[null,null,"duuduuuddu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"uddddduddu","uddddd",6,7.21875]
[null,null,"duuduuuddd","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"uddddduddd","uddddd",6,7.21875]
[null,null,"duuduuduuu","d",1,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"udddddduuu","uddddd",6,7.21875]
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