Page 167 - Special Topic Session (STS) - Volume 3
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STS538 Ibrahim S Y.
            hierarchical structure (IA-H and H), depends on the economic assumptions
            regarding elasticity of demand or consumer preferences or behavior. At the
            highest level of aggregation, the five components of the PAI are aggregated
            arithmetically, as are the seven basic headings comprising the H component
            are  also  aggregated  arithmetically.  However,  under  the  assumption  of
            constant  elasticity of  substitution  among  the  sub-components  of  the  IA-H
            component, a weighted geometric aggregation is used. In summary, the PAI
            is defined by the following formula:
                                        =    ∗ ,

                where RF denotes the “Rebasing Factor”, the theoretical pay level at the
            base location (PAI of New York) at the beginning of a survey round, and COLI
            is the cost-of-living index defined by:

                = w IA−H (R  , ω ) + w  I  + w  I  + w  I  + w OA OA
                                                                                  I
                                                                     MI MI
                                             i
                                         i
                                                           PC PC
                                                   H H
                That is, COLI is a weighted arithmetic average of the indices of the five
            macro-components, where the weights and indices are as described above (Ri
            and  i  are,  respectively,  the  ratios  and  common  expenditure  weights
            corresponding to the IA-H basic headings). It can be seen that the PAI has the
            functional  form  of  a  multilateral  Walsh  formula  for  the  IA-H  component,
            modified in two  ways: use of expenditure shares derived from a  subset of
            locations participating in the comparison, rather than all locations, and the
            appending of the four additive components, with all components assigned
            weights for the duty station, not the base location.

            4.  Operational rules for salary setting
                The PAI is applied for purposes of salary setting and adjustment through a
            system  of  operational  rules  reflecting  compensation  policy  considerations,
            such as stability and predictability of salaries, as well as the moderation of the
            disparity of salaries between high- and low-cost locations. Once purchasing
            power parity (PPP)  of salaries is established between the comparison duty
                               2
            station and New York based on the PAI calculated from a cost-of-living survey,
            a  pay  index  is  derived  to  determine  salary.  Between  surveys,  PPP  is
            approximated by updating both indices through different mechanisms: the
            PAI is adjusted for movements in local currency exchange rates relative to the
            US$; inflation as measured by CPIs (for the IA-H component); and movements
            in the other component indices (H, PC, MI, and OA), which are adjusted by
            other  mechanisms.  The  pay  index  is  adjusted  in  accordance  with
            compensation policy priorities.




            2  The use of the term PPP here does not conceptually coincide with its use in other contexts
            such as that of the ICP. For example, the PPP measure includes an OA component, the scope of
            which includes non-consumption commitments, not usually included in PPPs, but relevant in
            the context of compensation for UN staff.


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