Suchergebnisse

1. Why Tontines? Why Now? -- 2. Financial & Actuarial Background -- 3. Building a Tontine Simulation in R -- 4. Statistical Risk Management -- 5. Death Benefits, Refunds & Covenants -- 6. Goodbye LogNormal Distribution -- 7. Squeezing the Most from Mortality -- 8. Managing a Competitive Tontine Business -- 9. Solutions & Advanced Hints -- 10. Concluding Remarks: Tontine Thinking.

1 Setting Expectations and Deviations -- 2 Loading and Getting to Know R -- 3 Coding the (Simple) Financial Life-cycle Model -- 4 Data in R: The Family Balance Sheet -- 5 Portfolio Longevity: Deterministic & Stochastic -- 6 Modeling the Risk of Sequence-of-Returns -- 7 Modeling Human Longevity and Life Tables -- 8 Life & Death in Continuous Time: Gompertz 101 -- 9 The Lifetime Ruin Probability (LRP) -- 10 Life Annuities: From Immediate to Deferred -- 11 Intelligent Drawdown Rates -- 12 Pensionization: From Benefits to Utility -- 13 Biological (and other) Ages -- 14 Exotic Annuities for Longevity Risk -- 15 Very Last Thoughts -- Glossary of User Defined R-Functions. .

"In a time before bonds, treasury notes, or central banks, there were tontines. These were schemes in which a group of investors lent money to a government, corporation, or king, similar to a modern-day loan syndicate. But unlike conventional debt, periodic interest payments were distributed only to survivors. As tontine nominees died, the income of survivors correspondingly increased. Morbid, perhaps, but this was one of the earliest forms of longevity insurance in which the pool shared the risk. Moshe Milevsky tells the story of the first tontine issued by the English government in 1693, known as King William's tontine, intended to finance the war against French King Louis XIV. He explains how tontines work, the financial and economic thinking behind them, as well as why they fell into disrepute. Milevsky concludes with a provocative argument that suitably modified tontines should be resurrected for twenty-first century retirement income planning"--

Introduction and motivation -- Modeling the human life-cycle -- Models of human mortality -- Valuation models of deterministic interest -- Models of risky financial investments -- Models of pension life annuities -- Models of life insurance -- Models of DB vs. DC pensions -- Sustainable spending at retirement -- Longevity insurance revisited -- Options within variable annuities -- The utility of annuitization -- Final words.