Description: This presentation introduces the Threshold Life Table as a solution to the problem of modeling mortality for extreme ages. This method is based on extreme value theory, and it avoids the need to extrapolate beyond an arbitrary age. This method produces an omega, the highest attainable age, without it being chosen arbitrarily.

Description: In this paper, we derive three important longevity Greeks on the basis of an extended version of the Lee-Carter model that incorporates stochastic volatility.

Description: Traditional pension mathematics assumes that mortality rates are fixed at a valuation date. If mortality rates reduce after a valuation date, the liabilities of a defined benefit plans 'DB plans' increase, leading to deficits. Such deficits are somewhat unpredictable, because the evolution of mortality rates is a random process. This problem, which is often called longevity risk, makes the maintenance of DB plans difficult. The International Accounting Standards Board 'IASB' has plans to tackle the arduous problem of how to disclose longevity risk on financial statements. The IASB was established in 2001 to create universal accounting standards, called International Accounting Reporting Standards 'IFRSs'. A primary objective of this paper is to propose a number of methods that can help actuaries and plan sponsors quantify and disclose longevity risk.

Description: In this paper, we derive three important longevity Greeks on the basis of an extended version of the Lee-Carter model that incorporates stochastic volatility.