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Interpolate results to exact age

ProVal uses exact ages in a limited number of circumstances (i.e., to evaluate eligibility requirements and age-based accrual rates). In all other cases, rounded ages are used (e.g., for table lookups). In some geographic areas, exact ages (or at least monthly ages) should be used for all purposes. Examples of differences are the following:

In the universal pension mode, an option under the Liability Methods topic of Valuation Assumptions lets you Interpolate results to exact ages to address the differences above. When this option is selected, ProVal interpolates between whole ages, using the methodology outlined below. Note that this process takes place internally and does not require manipulation by the user.

Methodology:

The examples below illustrate this methodology. Examples 1 through 3 are for current inactive members. Example 4 below is for an active member.

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Note the subtle difference between examples #2 and #3. Example #2 is deferred to a fixed point in time (age 65) whereas example #3 is deferred for a fixed period (3 years).

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Note that the liabilities (AL) for 62&10 and 63&10 might have different underlying patterns of decrement, among other differences.

Interpolation is based on the member’s exact age on the valuation date. If middle of year decrements are assumed, ProVal’s standard methodology of averaging the beginning and end of year benefits will be applied (before interpolating to exact age).

Aggregate and individual results reflect interpolation; intermediate results reflecting whole ages are not available. Sample life reports include detail on the calculations at both assumed ages, as well as the interpolated values.

Note on cash flows: While cash flows for annuity payments reflect partial years of payment as a result of the interpolation, cash flows for lump sum payments are not addressed (e.g., a lump sum might be split into two payments).