WOLFRAM|DEMONSTRATIONS PROJECT

Net and Gross Reserve of Life Insurance

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term life insurance
pure endowment
endowment
age
premium term
term
technical interest rate
initial costs
administrative costs
age of entry 35 years
premium paid in 15 years
term 35 years
technical interest rate 2.4
initial costs α
3.5
% of benefit
administrative costs β
3
‰ of benefit
​
​
net reserve
gross reserve
This Demonstration shows the net and gross premium reserves of life insurance. The reserves are calculated for the three basic types of life insurance: term insurance, pure endowment, and endowment with unitary benefit. For all cases, the premium can be paid as an
n
-year temporary annuity. You can vary the technical interest rate in the range from 1 to 10% per annum. The decremental data used for the calculations is 2001–2005 Czech Republic data.