Browsing by Author "Kendal, Shannon"

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    Estimating the risks in defined benefit pension funds under the constraints of PF117
    (2017) Mahmood, Ra'ees; Kendal, Shannon; Dorrington, Rob
    With the issuing of Pension Funds circular PF117 in 2004 in South Africa, regulation required valuation assumptions for defined benefit pension funds to be on a best-estimate basis. Allowance for prudence was to be made through explicit contingency reserves, in order to increase reporting transparency. These reserves for prudence, however, were not permitted to put the fund into deficit (the no-deficit clause). Analysis is conducted to understand the risk that PF117 poses to pension fund sponsors and members under two key measures: contribution rate risk and solvency risk. A stochastic model of a typical South African defined benefit fund is constructed with simulations run to determine the impact of the PF117 requirements. Findings show that a best-estimate funding basis, coupled with the no-deficit clause, results in significant risk under both contribution rate and solvency risk measures, particularly in the short-term. To mitigate these risks, alternative ways of introducing conservatism into the funding basis are required, with possible options including incorporating margins into investment return assumptions or the removal of the no-deficit clause.
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    Function algebras, restriction sets and measures.
    (1982) Kendal, Shannon; Kotzé, W
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    Uniform algebras and measures.
    (1976) Kendal, Shannon; Kotzé, W
    The purpose of this work is to demonstrate the vital role played by measures in the study of Uniform Algebras. Most authors in the subject of Uniform Algebras are, essentially, Functional Analysts and this emphasis is apparent in their treatment of the subject. Usually the basic Measure Theoretic assumptions are mentioned at the outset and thereafter under-played or taken for granted so that one is left with very little impression of the continuous role played by, for instance, the Borel conditions or the regularity condition, in the development of the subject. We here endeavour to present this aspect.