We propose two simple evaluation methods for time varying density forecasts of continuous higher dimensional random variables. Both methods are based on the probability integral transformation for unidimensional forecasts. The first method tests multinormal densities and relies on the rotation...

For many years the longevity risk of individuals has been underestimated as survival probabilities improved across the developed world. The uncertainty and volatility of future longevity has posed significant risk issues for both individuals and product providers of annuities and pensions. This...

Mortality models used to assess longevity risk and retirement funding have been extended to stochastic models with trends and systematic risk. Systematic risk cannot be readily diversified in an insurance pool or pension fund. It is an important factor in assessing solvency and highlighting the...

We analyze the risk and profitability of reverse mortgages with lump-sum or income stream payments from the lender's perspective. Reverse mortgage cash flows and loan balances are modeled in a multi-period stochastic framework that allows for house price risk, interest rate risk and risk of...

Changing demographics creates the potential for the expansion of existing and new products to manage longevity risk. Life annuities address this risk, yet these annuity product markets are thin. Insurers are concerned about the long term risks associated with these longevity products and capital...

This paper assesses the impact of longevity risk management on insurer shareholder value and solvency for an annual portfolio. The analysis uses a multi-period stochastic mortality model with both systematic and idiosyncratic longevity risk. We consider both survivor, or longevity, swaps that...