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Estimation of future mortality rates still plays a central role among life insurers in pricing their products and managing longevity risk. In the literature on mortality modeling, a wide number of stochastic models have been proposed, most of them forecasting future mortality rates by extrapolating one or more latent factors. The abundance of proposed models shows that forecasting future mortality from historical trends is non-trivial. Following the idea proposed in Deprez et al. (2017), we use machine learning algorithms, able to catch patterns that are not commonly identifiable, to calibrate a parameter (the machine learning estimator), improving the goodness of fit of standard stochastic mortality models. The machine learning estimator is then forecasted according to the Lee-Carter framework, allowing one to obtain a higher forecasting quality of the standard stochastic models. Out-of sample forecasts are provided to verify the model accuracy.it allows us to understand processes better, make predictions about the future based on historical data, and categorize sets of data automatically.We can distinguish between supervised and unsupervised learning methods. In the supervised learning methods, the goal is to establish the relations between a range of predictors (independent variables) and a determined target (dependent variable), whereas in the unsupervised learning methods, the algorithm sets patterns among a range of variables in order to group records that show similarities, without considering an output measure. While in the supervised method, the algorithm learns from the dataset the rules that are fed to the machine, in the unsupervised method, it has to identify the rules autonomously. Logistic and multiple regression, classification and regression trees, and naive Bayes are examples of supervised learning methods, while association rules and clustering are classified as unsupervised learning methods.Despite the increasing usage in different fields of research, applications of machine learning in demography are not so popular. The main reason lies in the findings often being seen as "black boxes" and considered difficult to interpret. Moreover, the algorithms are not theory driven (but quite data driven), while demographers are often interested in analyzing specific hypotheses. They are likely to be unwilling to use algorithms whose decisions cannot be rationally explained.However, we believe that machine learning techniques can be valuable as a complement to standard mortality models, rather than a substitute.In the literature related to mortality modeling, there are very few contributions on this topic. The work in Deprez et al. (2017) showed that machine learning algorithms are useful to assess the goodness of fit of the mortality estimates provided by standard stochastic mortality models (they considered Lee-Carter and Renshaw-Haberman models). They applied a regression tree boosting machine to "analyze how the modeling should be improved based on feature components of an individual, such as its age...
Estimation of future mortality rates still plays a central role among life insurers in pricing their products and managing longevity risk. In the literature on mortality modeling, a wide number of stochastic models have been proposed, most of them forecasting future mortality rates by extrapolating one or more latent factors. The abundance of proposed models shows that forecasting future mortality from historical trends is non-trivial. Following the idea proposed in Deprez et al. (2017), we use machine learning algorithms, able to catch patterns that are not commonly identifiable, to calibrate a parameter (the machine learning estimator), improving the goodness of fit of standard stochastic mortality models. The machine learning estimator is then forecasted according to the Lee-Carter framework, allowing one to obtain a higher forecasting quality of the standard stochastic models. Out-of sample forecasts are provided to verify the model accuracy.it allows us to understand processes better, make predictions about the future based on historical data, and categorize sets of data automatically.We can distinguish between supervised and unsupervised learning methods. In the supervised learning methods, the goal is to establish the relations between a range of predictors (independent variables) and a determined target (dependent variable), whereas in the unsupervised learning methods, the algorithm sets patterns among a range of variables in order to group records that show similarities, without considering an output measure. While in the supervised method, the algorithm learns from the dataset the rules that are fed to the machine, in the unsupervised method, it has to identify the rules autonomously. Logistic and multiple regression, classification and regression trees, and naive Bayes are examples of supervised learning methods, while association rules and clustering are classified as unsupervised learning methods.Despite the increasing usage in different fields of research, applications of machine learning in demography are not so popular. The main reason lies in the findings often being seen as "black boxes" and considered difficult to interpret. Moreover, the algorithms are not theory driven (but quite data driven), while demographers are often interested in analyzing specific hypotheses. They are likely to be unwilling to use algorithms whose decisions cannot be rationally explained.However, we believe that machine learning techniques can be valuable as a complement to standard mortality models, rather than a substitute.In the literature related to mortality modeling, there are very few contributions on this topic. The work in Deprez et al. (2017) showed that machine learning algorithms are useful to assess the goodness of fit of the mortality estimates provided by standard stochastic mortality models (they considered Lee-Carter and Renshaw-Haberman models). They applied a regression tree boosting machine to "analyze how the modeling should be improved based on feature components of an individual, such as its age...
Forecasting longevity is essential in multiple research and policy areas, including the pricing of life insurance contracts, the valuation of capital market solutions for longevity risk management, and pension policy. This paper empirically investigates the predictive performance of Recurrent Neural Networks (RNN) with Gated Recurrent Unit (GRU) and Long Short-Term Memory (LSTM) architectures in jointly modeling and multivariate time series forecasting of age-specific mortality rates at all ages. We fine-tune the three hidden layers GRU and LSTM model's hyperparameters for time series forecasting and compare the model's forecasting accuracy with that produced by traditional Generalised Age-Period-Cohort (GAPC) stochastic mortality models. The empirical results suggest that the two RNN architectures generally outperform the GAPC models investigated in both the male and female populations, but the results are sensitive to the accuracy criteria. The empirical results also show that the RNN-GRU network slightly outperforms the RNN with an LSTM architecture and can produce mortality schedules that capture relatively well the dynamics of mortality rates across age and time. Further investigations considering other RNN architectures, calibration procedures, and sample datasets are necessary to confirm the superiority of RNN in forecasting longevity.
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