{"product_id":"life-insurance-theory-f-etienne-de-vylder-9780792399957","title":"Life Insurance Theory: Actuarial Perspectives","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e F. Etienne de Vylder\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0792399951\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780792399957\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/31\/1997\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 184\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.06lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.70h x 6.28w x 0.65d","brand":"F. Etienne de Vylder","offers":[{"title":"Hardcover","offer_id":48517440864511,"sku":"9780792399957","price":169.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_fd7d7f6f-7ab9-4e86-9ea8-8f8bb87862bc.jpg?v=1778731903","url":"https:\/\/www.whiterainbookhouse.com\/products\/life-insurance-theory-f-etienne-de-vylder-9780792399957","provider":"WR Book House","version":"1.0","type":"link"}