Accumulative Pension Schemes with Various Decrement Factors
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. Pa...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/11/2081 |
| _version_ | 1827701669928894464 |
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| author | Mohammed S. Al-Nator Sofya V. Al-Nator |
| author_facet | Mohammed S. Al-Nator Sofya V. Al-Nator |
| author_sort | Mohammed S. Al-Nator |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T14:39:40Z |
| format | Article |
| id | doaj.art-26adc0f45fe14cb68cb659cd3d2549eb |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T14:39:40Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-26adc0f45fe14cb68cb659cd3d2549eb2023-11-20T21:52:12ZengMDPI AGMathematics2227-73902020-11-01811208110.3390/math8112081Accumulative Pension Schemes with Various Decrement FactorsMohammed S. Al-Nator0Sofya V. Al-Nator1Department of Mathematics, Financial University under the Government of the Russian Federation, 49 Leningradsky Prospekt, Moscow 125993, RussiaDepartment of Mathematics, Financial University under the Government of the Russian Federation, 49 Leningradsky Prospekt, Moscow 125993, RussiaWe 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.https://www.mdpi.com/2227-7390/8/11/2081pension schemesbalance equationgross premiumpremium loadlump sumdefined contribution pension schemes |
| spellingShingle | Mohammed S. Al-Nator Sofya V. Al-Nator Accumulative Pension Schemes with Various Decrement Factors Mathematics pension schemes balance equation gross premium premium load lump sum defined contribution pension schemes |
| title | Accumulative Pension Schemes with Various Decrement Factors |
| title_full | Accumulative Pension Schemes with Various Decrement Factors |
| title_fullStr | Accumulative Pension Schemes with Various Decrement Factors |
| title_full_unstemmed | Accumulative Pension Schemes with Various Decrement Factors |
| title_short | Accumulative Pension Schemes with Various Decrement Factors |
| title_sort | accumulative pension schemes with various decrement factors |
| topic | pension schemes balance equation gross premium premium load lump sum defined contribution pension schemes |
| url | https://www.mdpi.com/2227-7390/8/11/2081 |
| work_keys_str_mv | AT mohammedsalnator accumulativepensionschemeswithvariousdecrementfactors AT sofyavalnator accumulativepensionschemeswithvariousdecrementfactors |