CH12Q2

Discussion in 'CS2' started by Molly, Sep 3, 2022.

  1. Molly

    Molly Ton up Member

    Hey all,

    am just confused on chapter 12 question 2:

    i think the formula for under random walk model is k_t-k_(t-1)=mu+e_t

    using this, i get that in ch12q2, mu should be +0.02, but the solutions imply that it should be -0.02. this makes my answers all wrong, could someone help please?

    Thanks,
    Molly
     
  2. Andrew Martin

    Andrew Martin ActEd Tutor Staff Member

    Hi Molly

    The formula given in 12.2 is

    k_(t+1) = k_t + mu + e_t

    which can be rearranged to;

    k_(t+1) - k_t = mu + e_t

    This can also be written as:

    k_t - k_(t-1) = mu + e_(t-1)

    Using the figure for mu in 12.2, this is:

    k_t - k_(t-1) = -0.02 + e_(t-1)

    so mu = -0.02.

    Essentially the idea is that the difference between k_t and k_(t+1) is given by a fixed amount, mu, plus some random amount, the error term. In 12.2 the index on the error term should actually really be (t+1) rather than (t) to align with the formula presented in the notes (perhaps that is the where the confusion comes from?) but the general idea is that we have mu + random amount.

    Does this help?

    Andy
     
    Molly likes this.
  3. Molly

    Molly Ton up Member

    Hi Andy,

    ah that really does help thank you, i completely missed that it was k_(t+1) but we needed k_(t-1), so im really glad i asked as this was really confusing me!! thanks so much, feel much more comfortable with this now.
     

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