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Titlebook: Life Insurance Theory; Actuarial Perspectiv F. Etienne Vylder Book 1997 Springer Science+Business Media Dordrecht 1997 development.differen

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发表于 2025-3-21 19:07:20 | 显示全部楼层 |阅读模式
书目名称Life Insurance Theory
副标题Actuarial Perspectiv
编辑F. Etienne Vylder
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图书封面Titlebook: Life Insurance Theory; Actuarial Perspectiv F. Etienne Vylder Book 1997 Springer Science+Business Media Dordrecht 1997 development.differen
描述This book is different from all other books on Life Insurance by at least one of the following characteristics 1-4. 1. The treatment of life insurances at three different levels: time-capital, present value and price level. We call time-capital any distribution of a capital over time: (*) is the time-capital with amounts Cl, ~, ... , C at moments Tl, T , ..• , T resp. N 2 N For instance, let (x) be a life at instant 0 with future lifetime X. Then the whole oO oO life insurance A is the time-capital (I,X). The whole life annuity ä is the x x time-capital (1,0) + (1,1) + (1,2) + ... + (I,‘X), where ‘X is the integer part ofX. The present value at 0 of time-capital (*) is the random variable T1 T TN Cl V + ~ v , + ... + CNV . (**) In particular, the present value ofA 00 and ä 00 is x x 0 0 2 A = ~ and ä = 1 + v + v + ... + v‘X resp. x x The price (or premium) of a time-capital is the expectation of its present value. In particular, the price ofA 00 and äx 00 is x 2 A = E(~) and ä = E(I + v + v + ... + v‘X) resp.
出版日期Book 1997
关键词development; differential equation; evaluation; insurance; mathematics; population; portfolio; probability;
版次1
doihttps://doi.org/10.1007/978-1-4757-2616-9
isbn_softcover978-1-4419-5189-2
isbn_ebook978-1-4757-2616-9
copyrightSpringer Science+Business Media Dordrecht 1997
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F. Etienne De Vylderf American literature in the world.Covers an admirable rangeThis book aims to both describe and analyze the way Steinbeck learned the writing craft. It begins with his immersion in the short story, some years after he stopped attending Stanford University. Aside from a weak first novel, his professi
发表于 2025-3-22 08:37:08 | 显示全部楼层
F. Etienne De Vylderf American literature in the world.Covers an admirable rangeThis book aims to both describe and analyze the way Steinbeck learned the writing craft. It begins with his immersion in the short story, some years after he stopped attending Stanford University. Aside from a weak first novel, his professi
发表于 2025-3-22 10:39:52 | 显示全部楼层
F. Etienne De Vylder Strachey’s journalistic outpourings of the period 1925–29. Indeed the articles in the ., the ., the . and the . furnish materials more suitable for a patchwork quilt. In part this was a consequence of the nature and demands of journalism — the instant response to and assessment of rapidly unfolding
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F. Etienne De Vylderfication must lead on ultimately to a socialist transformation of society, did not alter fundamentally after 1956. The modification of capitalism was to be effected in a variety of ways. The inherent instability of capitalism was to be rectified by maintaining aggregate demand at a level sufficient
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Mill annihilates a philosopher who would otherwise be forgotten. The ., published in 1848, was begun in late 1845 and finished in early 1847. That a closely reasoned and information-packed book of 450,000 words should be written in so short a time is astonishing, the more so in view of the fact that
发表于 2025-3-22 22:47:31 | 显示全部楼层
Basic Concepts of Live Insurance Mathematics,ate i) and the classical mortality model (with survival probabilities resulting from a continuous life table ..). The classical life insurance model is adopted if nothing else is stated explicitly. Some developments have direct generalizations in case of variable interest rates: it is enough to repl
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Insurances on a Status (Several Lives),depending on X, Y,..., Z, is defined for all t≥0. Then the event ρ↓t (:⇔ ρ is dead at t) is the negation of event ρ↑t: . where the notation of App.B (.) is used. Hence, the status ρ can equally well be defined by the events ρ↓t (t≥O) as by the events ρ↑t (t≥0).
发表于 2025-3-23 06:49:39 | 显示全部楼层
Life Insurance Contracts (Several Lives), insureds x, y, ..., z and P. is the .. All definitions of Ch.9 and most results of that Chapter extend to the case of several lives. Here we recall and adapt some considerations in case of two lives x and y only.
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