Stochastic interest rate models

Discussion in 'CT1' started by lindsay, Aug 31, 2013.

  1. lindsay

    lindsay Member

    The exam-style question in chapter 15 reads.

    A lump sum of $14,000 will be invested at time 0 for 4 years at a constant annual rate of interest i. (1+i) has a log-normal distribution with mean 1.05 and variance 0.007. What is the probability that the investment will accumulate to more than $20,000 in 4 years time.

    Now the problem I have is that when reading the question, my inclination would be that the log-normal distribution would have a mean of 1.05 and variance 0.007.

    However when consulting the solution I note that in fact the distribution of (1+i) has a mean of 1.05 and variance 0.007.

    Am I the only one that comes to the erroneous conclusion, or is the question stated wrongly?
     
  2. cjno1

    cjno1 Member

    Sorry Lindsay, I'm not picking up the difference between your two points:

    "my inclination would be that the log-normal distribution would have a mean of 1.05 and variance 0.007.

    However when consulting the solution I note that in fact the distribution of (1+i) has a mean of 1.05 and variance 0.007."

    Seems like you've said the same thing twice to me.
     

Share This Page