Actuarial Studies

نویسندگان

  • Jim Farmer
  • Nick Parr
  • Michael Sherris
چکیده

The traditional formula used for analysis of surplus in the presence of a conservative valuation basis is compared to a similar formula used for analysis of profit under the margin on services valuation method using a realistic basis. Deficiencies of the former formula relative to the latter are noted. A revised formula is presented which overcomes these deficiencies while still allowing the use of a conservative valuation bases. The Traditional Analysis of Surplus In this section we will derive formulae to carry out an analysis of surplus as it would have been performed prior to the invention of the Margin on Services technique. The general approach used to derive these formulae is likely to be familiar to anyone who has studied analysis of surplus in life insurance. The approach used here is similar to that use in Carr (1996) and is no doubt also similar to many other actuarial books which discuss analysis of surplus. We will assume that we are dealing with a statutory fund containing a single cohort of identical traditional policies. A premium is payable at the start of the year under consideration and the policies do not mature during this year. Expenses and surrenders will be ignored. Thus the only assumptions required are those for interest and mortality and the policy value is effectively a net premium policy value. On this simple basis both the premium and the policy value for a policy are proportional to its sum insured. This scenario is quite a simple one and has been chosen to allow us to concentrate on some important basic principles without being distracted by complexities. Time will be measured in years from the start of the year we are analysing.

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تاریخ انتشار 1997