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Trinomialtree

  • To: mathgroup at smc.vnet.net
  • Subject: [mg30920] Trinomialtree
  • From: Yannis.Paraskevopoulos at ubsw.com
  • Date: Thu, 27 Sep 2001 02:16:37 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi all,

I have been having problem executing the following code. Could you 
please tell me what am I doing wrong?


Best regards and thanks in advance

============Mathematica Code===============================================

TrinomialTree[AmEurFlag_Symbol,CallPutFlag_Symbol,S_,X_,T_,r_,b_,v_,n_]: =
  Module[{OptionValue,dt,pu,pd,pm,u,d,Df,z},
    dt=T/n;
    u=Exp[v*Sqrt[2*dt]];
    d=Exp[-v*Sqrt[2*dt]];
    pu=((Exp[b*dt/2]-Exp[-v*Sqrt[dt/2]])/(Exp[v*Sqrt[dt/2]]-
                Exp[-v*Sqrt[dt/2]]))^2;
    pd=((Exp[v*dt/2]-Exp[b*Sqrt[dt/2]])/(Exp[v*Sqrt[dt/2]]-
                Exp[-v*Sqrt[dt/2]]))^2;
    pm=1-pu-pd;
    Which[CallPutFlag=c,z==1,CallPutFlag=p,z==-1];
    OptionValue=
      Table[Max[0,z*(S*u^Max[i-n,0]*d^Max[n*2-n-i,0]-X)],{i,0,2*n}];
    Which[AmEurFlag=e,OptionValue=Table[(pu*OtoptionValue[[i+2]]
                +pm*OptionValue[[i+1]]+pd*OptionValue[[i]])*Df,{j,n-1,
            0,-1},{i,0,j*2}],AmEurFlag=a,
      OptionValue=
        Table[Max[(z*(S*u^Max[i-j,0]*d^Max[j*2-j-i,0]-X)),(pu*
                    OptionValue[[i+1]]+pd*OptionValue[[i]])*Df],{j,n-1,
            0,-1},{i,0,j*2}]];
    OptionValue
    ]

=================================================================================


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