This paper provides a flexible multi-factor framework to address some ongoing challenges in mortality modeling, with a special focus on the mortality curvature and possible mortality plateau for extremely old ages. We extend the Gompertz law Gompertz (1825) by proposing a multi-factor...

This paper proposes a fair valuation approach to price variable annuity liabilities and embedded guarantee riders in a dynamic multi-period setting. The focus of the paper is on variable annuity with the Guaranteed Lifetime Withdrawal Benefit(GLWB) rider with exposure to both equity and...

The paper considers time series GMM models where a subset of the parameters are time varying. We focus on an empirically relevant case with moderately large instabilities, which are well approximated by a local asymptotic embedding that does not allow the instability to be detected with...

To mitigate the hedger's longevity risk exposure, this paper proposes a collective longevity swap between a reinsurer (hedge provider) and a group of hedgers (pension plans and annuity providers), and an economic framework to price longevity risk and longevity swaps. Combining the appealing...

This paper proposes a principal-agent framework to study the optimal transfer of longevity risk between a reinsurer and a hedger under information asymmetry. Most hedgers in the real world have rather small portfolios which are hard to be accurately estimated by the reinsurer. Using indemnity...

Polycyclic aromatic hydrocarbons (PAHs) and their nitrated derivatives (NPAHs) attract continuous attention due to their outstanding carcinogenicity and mutagenicity. To investigate the seasonal and diurnal variations, sources, formation mechanism and health risk assessment of PAHs and NPAHs,...