Mathematical reserves vs longevity risk in life insurances

• Authors: Homa Magdalena

Title variants

PL

Ryzyko długowieczności a wymagany poziom rezerw w ubezpieczeniach na życie i dożycie

• Languages of publication: EN

Abstracts

EN

Insurers wanting to provide protection against unforeseen losses should establish an appropriate level of reserves, which should balance the risk borne by the insurer so as to guarantee the financial security of the insured. The system including the financing requirements tailored to the real risks is called the Solvency II. According to that the valuation of classic life insurance should consider the real risk, which includes risk of death and the change in value of money over time. This method of calculating reserves does not ensure the protection of collected funds by aggregation and the individual risk of longevity, which may negatively affect the long-term financial stability of insurers as well as the level of financial security for the insured. Therefore, the aim of this paper is to modify the calculation methods and, above all, to correct reserves within the period of insurance, taking into account the current expectation of the future projected length.

PL

Ubezpieczyciel, chcąc zabezpieczyć się przed nieprzewidzianymi stratami, powinien ustalić odpowiedni poziom rezerw, które powinny zrównoważyć ponoszone przez ubezpieczyciela ryzyko, tak aby zapewnić bezpieczeństwo finansowe ubezpieczonych. System zawierający wymogi finansowania dopasowane do rzeczywistych typów ryzyka to Solvency II. Zgodnie z nim wycena klasycznych ubezpieczeń na życie powinna uwzględniać rzeczywiste ryzyko, które obejmuje: ryzyko śmierci oraz zmianę wartości pieniądza w czasie. Taki sposób kalkulacji rezerw nie zapewnia ochrony gromadzonych środków przed zagregowanym i indywidualnym ryzykiem długowieczności, co może negatywnie wpłynąć na długoterminową stabilność finansową ubezpieczycieli, a także na poziom zabezpieczenia finansowego ubezpieczonych. W związku z tym celem artykułu jest modyfikacja sposobów kalkulacji, a przede wszystkim korekty rezerw w okresie trwania ubezpieczenia z uwzględnieniem aktualnego trendu dalszej oczekiwanej długości.

Keywords

EN

longevity risk; Solvency II; required mathematical premium reserves

PL

ryzyko długowieczności; Solvency II; wymagany poziom rezerw matematycznych

• Publisher: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
• Journal: Econometrics. Ekonometria. Advances in Applied Data Analytics
• Year: 2020
• Issue: vol. 24, nr 1
• Pages: 23-38

Contributors

author

Homa Magdalena

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