April 2022 Q4

Discussion in 'CM2' started by Darragh Kelly, Sep 4, 2022.

  1. Darragh Kelly

    Darragh Kelly Ton up Member

    Hi,

    I can follow the solution in the examiners report no problems. I have a question as to why the drift and vol term At and Bt cannot be taken directly from the equation drt=alpha*(mew-rt)*dt + sigma*dZt ie drift/At = alpha*(Mew-rt) and vol/Bt = sigma?
    Should this not give you the same SDE for Xt, as Xt is a stochastic process and the underlying stochastic process for Xt is rt? This is similar to the acted notes chapter 10 question 10.7 where Yt was a function of Xt?
    Thanks,

    Darragh
     
  2. Steve Hales

    Steve Hales ActEd Tutor Staff Member

    I think the examiners were just being helpful in giving the hint!
    The difference in approach is between whether Ito's Lemma or Taylor's formula is employed. Both methods will, of course, lead to the same result.
     

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