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Chapter 15 examination style question 2

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The distribution model of S_n~logN(nμ,n^2σ^2)
Why is it that in solution of question 2(ii) we instead used S_n~logN(nμ,nσ^2)
 
S_n~logN(nu, n^2 SD^2) is used when i is constant annual rate of interest..interest rate is not independent. If i is independent, then we use nSD^2...

That is my understanding after comparing Qs 4.13 and 4.19 of Part 4. Some one please correct me if i am wrong..
 
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