Longer lifespans are generally seen as a positive outcome of economic growth. Yet life extension also means that more people face the risk of living too long -that is, outliving their assets and means of support. A range of financial products exists currently or can be envisioned for the future that would be useful in helping to protect people against having to dramatically curtail consumption ...

2 Theoretical Insights 4 2.1 The VSL model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.1.1 The standard model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.1.2 The dead-anyway effect and the wealth effect . . . . . . . . . . . . . . . . . . . . . 5 2.1.3 Risk aversion and background risks . . . . . . . . . . . . . . . . . ....

The purpose of this paper is to study mortality-based securities, such as mortality bonds and swaps, and to price the proposed mortality securities. We focus on individual annuity data, although some of the modeling techniques could be applied to other lines of annuity or life insurance. Date: March 30, 2004. A very early version was presented at a seminar at the University of Waterloo, Departm...

We introduce a simple extension to the CBDX model project cohort mortality rates extreme old age. The proposed approach fits polynomial sample of age effects, uses fitted effects ages beyond range, then splices and projected spliced obtain for higher ages. can be used value financial instruments such as life annuities that depend on projections rates.

We develop a singular stochastic control model for pricing variable annuities with the guaranteed minimum withdrawal benefit. This benefit promises to return the entire initial investment, with withdrawals spread over the term of the contract, irrespective of the market performance of the underlying asset portfolio. A contractual withdrawal rate is set and no penalty is imposed when the policyh...