{"product_id":"9781441951892","title":"Life Insurance Theory: Actuarial Perspectives","description":"\u003ch1\u003eLife Insurance Theory: Actuarial Perspectives\u003c\/h1\u003e \u003ch2\u003eDe Vylder, F. Etienne\u003c\/h2\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-12-07\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781441951892\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4757-2616-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 184\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":46545089691788,"sku":"9781441951892","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781441951892.jpg?v=1775766402","url":"https:\/\/lateknightbooks.com\/products\/9781441951892","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}