THE INFLUENCE OF LEE-CARTER STOCHASTIC MORTALITY ASSUMPTION AND GOMPERTZ DETERMINISTIC MORTALITY ASSUMPTION TO THE VALUES OF ANNUITIES, BENEFITS, AND PREMIUMS
Actuarial calculations to the values of annuities, benefits , and premiums are influenced by mortality factor or the probability someone would die for each year. The calculations can be calculated by using actuarial functions on mortality tables or mortality law. One of the deter...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/20098 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Actuarial calculations to the values of annuities, benefits , and premiums are influenced by mortality factor or the probability someone would die for each year. The calculations can be calculated by using actuarial functions on mortality tables or mortality law. One of the deterministic mortality inventor who quite famous, namely Gompertz. And during the last decades, stochastic methods have been developed, one of including is Lee-Carter methods. In this thesis, the author will compare probablities by applying both assumptions, in order to see the influence on the values of annuities, benefits , and premiums. It is found that the values of annuities, benefits, and premiums by using Gompertz method only <br />
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provides result for one year, while Lee-Carter method provides different result each year, by following trend of deaths each year. And for the value of deaths probabilities by using Gompertz method provides greater value than Lee-Carter method for ages 24-68, which have an impact on the values of premium and benefits also greater. <br />
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