1. A pension fund is worried that when current young people will be receiving pensions, they will live for an extremely long time due to improvements in medicine. Because of this, they would like you to build in mathematical model that predicts how mortality rate will change with time. As a minimum, the model should take into account age and gender, but more complicated models taking into account, for example, mortality improvements with time for patients with serious diseases (such as cancer) would be a plus. The resulting model should be used to predict how long a given person is expected to receive pension, and, based on this, calculate an adequate contribution for any desired level of pension. As a minimum, you should submit the report describing the model. An implemented model in any programming language on your choice would worth some extra credit.
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