5 step method

Discussion in 'CT8' started by r_v.s, Feb 21, 2014.

  1. r_v.s

    r_v.s Member

    Can u plz explain the last step.....
    where we need to show that the a portfolio is
    a) self financing
    b) replicating?:confused:
     
  2. John Potter

    John Potter ActEd Tutor Staff Member

    For replicating, we need self-financing and the boundary condition, V(T) = X

    V(t) = exp(-r(T-t))EQ[X|F(t)]

    set t=T and we have V(T) = X, fine

    For self-financing we need to show that the change in Vt, ie dVt
    equals the amount of shares we have Phi(t) times dS(t)
    plus the amount of cash we have Psi(t) times dB(t)

    (Phi and Psi are previsible processes)

    Once we have shown this, we conclude that V(t) is the value of a self-financing portfolio

    John
     
  3. r_v.s

    r_v.s Member

    Thanks!
     

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