{"product_id":"life-insurance-theory-actuarial-perspectives-von-f-etienne-de-vylder","title":"Life Insurance Theory","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781441951892\"\u003e\u003ch3\u003eActuarial Perspectives\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780792399957\"\u003e\u003ch3\u003eActuarial Perspectives\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9781441951892","offer_id":39415689117789,"sku":"9781441951892","price":160.49,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9780792399957","offer_id":51569166854,"sku":"9780792399957","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/954655c6-d0e8-43b2-b999-7f287ff8da73.jpg?v=1781841907","url":"https:\/\/shop.autorenwelt.de\/products\/life-insurance-theory-actuarial-perspectives-von-f-etienne-de-vylder","provider":"Autorenwelt Shop","version":"1.0","type":"link"}