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Accumulative Pension Schemes with Various Decrement Factors

Mohammed S. Al-Nator and Sofya V. Al-Nator
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Mohammed S. Al-Nator: Department of Mathematics, Financial University under the Government of the Russian Federation, 49 Leningradsky Prospekt, Moscow 125993, Russia
Sofya V. Al-Nator: Department of Mathematics, Financial University under the Government of the Russian Federation, 49 Leningradsky Prospekt, Moscow 125993, Russia

Mathematics, 2020, vol. 8, issue 11, 1-15

Abstract: We consider accumulative defined contribution pension schemes with a lump sum payment on retirement. These schemes differ in relation to inheritance and provide various decrement factors. For each scheme, we construct the balance equation and obtain an expression for calculation of gross premium. Payments are made at the end of the insurance event period (survival to retirement age or death or retirement for disability within the accumulation interval). A simulation model was developed to analyze the constructed schemes.

Keywords: pension schemes; balance equation; gross premium; premium load; lump sum; defined contribution pension schemes; decrement tables (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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