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Finance question: delta confidence interval

  1. May 2, 2009 #1
    Hi, if I have the confidence interval for the point estimate of an option price A which was found through simulation, can I also find a confidence interval for delta (dA/dS), where S is underlying asset price, without further simulation?

    thanks,

    sl
     
  2. jcsd
  3. May 18, 2009 #2
    You can approximate dA(t)/dS(t) as (ΔA/Δt)/(ΔS/Δt), e.g. (A(t)-A(t-1))/(S(t)-S(t-1)) where t indexes successive simulation outputs.
     
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