DISCUSSION PAPER PI-0512
Stochastic Mortality Under Measure Changes
Enrico Biffis, Michel Denuit and Pierre Devolder
We provide a self-contained analysis of a class of continuous-time stochastic
mortality models that have gained popularity in the last few years. We describe
some of their advantages and limitations, examining whether their features survive
equivalent changes of measures. This is important when using the same model for
both market-consistent valuation and risk management of life insurance liabilities.
We provide a numerical example based on the calibration to the French annuity
market of a risk-neutral version of the model proposed by Lee and Carter
Key words and phrases: stochastic mortality, Lee-Carter model, mortality risk premium,
fair valuation, mortality-linked securities.