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You should get the same answers with either the McClenahan method or the
Finger method. McClenahan adjusts the earned premium to the base class
which will result in INDICATED RELATIVITIES rather than an indicated
change to rels. (Normally the loss ratio method results in an indicated
change.) Finger does not adjust the earned premiums to the base class, so
the resulting adjustment is the INDICATED CHANGE to the relativities. Also
McClenahan's off-balance equals 1/(1+change) where Finger divides by
(1+change) (i.e. be careful what form they want the off-balance). See
attachment for example.
----------
> From: bill g <billg5@yahoo.com>
> To: study group 6 <studygroup6@lists.casact.org>
> Cc: Jim Shoenfelt <jim.shoenfelt@zurich.com>
> Subject: practice exam question 19 continued
> Date: Wednesday, April 28, 1999 7:06 AM
>
>
> To continue my discussion of question 19 on the study group practice
> exam, it now appears to me that
>
> the numbers given in the published solution under the column "indicated
> relativities" of terr 1,2,3 as .967,1.813,.604 are what FINGER on page
> 268 column 12 in the finger exhibit in foundations of cas would refer
> to as "preliminary adjustments". Preliminary adjustments of course for
> the base class do not have to be 1.00, because the base territory can
> be adjusted, even though its revised relativity still must be 1.0.
>
> now because we are not given credibility to apply the finger
> credibility complement of 1.0 for preliminary adjustments we have
> credible adjustments of .967,1.813,.604 (assume fully credible) column
> 14 in finger exhibit on page 268. then finger page 268 column 15 gets
> the extensions as the credible adjustments times the on level earned
> premium so credible extensions would be
> 125000*.967+250000*1.813+300000*.604=755325;
> this is assuming that the original on level earned premiums are the
> correct premiums to balance to (not sure about this although dont know
> what would happen if terr 1 on level earned premiums were used for off
> balance calculation)
>
> so the off balance factor now would seem to be 725000/755325= .9598
> ---- how confusing.
>
> now column 16 page 268 finger balanced adjustments for each terr would
> seem to be (the adjustment factor*credible adjustment) for each
> territory so we have column 16 values for each terr as
>
> .958*.967=.9264 for terr 1; .958*1.813=1.74 for second terr; and
> .958*.604=.579 for third territory.
>
> finally revised relativities would be for each territory
>
> current territory rel*(bal adj for terr/base terr bal adj)
>
>
> so for terr 1 revised rel is 1.0(.9264/.9264)=1.0
> for terr 2 revised rel is 1.25*(1.74/.9264) =2.34777
>
> and finally for terr 3 revised rel is .75*(.579/.9264)=.46875
>
> everyone confused now? I am.
>
> billg
>
> billg5@yahoo.com
>
>
>
>
>
> _________________________________________________________
> Do You Yahoo!?
> Get your free @yahoo.com address at http://mail.yahoo.com
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