Explain why interest rate under CIR will not hit zero

Discussion in 'CT8' started by Chang Liu, Apr 4, 2017.

  1. Chang Liu

    Chang Liu Member

    hi , i still don't quite understand clearly why interest rate under CIR model will not hit zero by reading the material.
    Could you please explain that in more details? Many thanks!
     
  2. Mark Mitchell

    Mark Mitchell Member

    The CIR SDE has two parts to it:
    - the drift part, which incorporates mean reversion to a long-run mean of mu
    - the volatility part, which includes the square root of r(t).

    When the interest rate r(t) becomes very small (close to 0), the volatility term also becomes very small, so the SDE defining the process will be dominated by the mean-reverting drift term which drags the process towards the mean and away from 0.
     
  3. Chang Liu

    Chang Liu Member

    Thanks a lot Mark, I understand it now.
     

Share This Page