2012 12 8 1 1. 2. 3. 4. 2 1. 2.
3 4000 3000
0 x l x d x http://www.mhlw.go.jp/toukei/saikin/hw/life/20th/xls/seimei.xls 0 100 000 298 1 99 702 45 2 99 657 32 80 x l x d x
3198,562 3132 75 31 98,562 75 98,487 l x+1 =l x d x l 32 =l 31!d 31 98,487=98,562 75
40 1980 4 8.888% 1990 10 7.786% 1996 10 1987 6 3.969% 2003 6 0.548% 2012 7 0.836% 26 1980 4 8.888% 1980 & & Yes-No!Good / Eighteen You Oughta Know By NowMr. TOKIO 1987 6 3.969% 1990 10 7.786% 1987 1 2TANGO NOIR 3 4GENJISTAR LIGHT 5Strawberry Time 6 7BLONDE 8 9 10 1990 1B.B. 2CLUB 3LINDBERGKiss Me 4 5OH 1996 YEAH! 6Dear Friend 7THE BLUE HEARTS 8 9 10 11JEALOUSY 12PINK SAPPHIREP.S. I LOVE YOU 13 14DREAMS COME TRUE 15 2003 6 0.548% 2003 SARS 700 2012 7 0.836% 1 9600 7 26 63 9 26-2003 27 []!" #" $" %" &" '" (" )" *"!+"!&" #+" #&" $+" %+",#%-!!-#)" +-+**"" +-+*)"" +-!+!"" +-!%+"" +-!)!"" +-#')"" +-$(%"" +-%*+"" +-'#+"" +-(%+""!-#*)""!-'('""!-)$#""!-*#&"" #-!!*""./0122333-456-75-802879:2;<6<;<=><2?=@<;<:@A;B@<2879>4->:C
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21 21 : (one year) Tontine Interest of Age x : (n year) Tontine Interest of Age x For converting this tontine rate to an usual yield rate r, we have an equation. Age" Lives" Tontine Interest" 75" 72 156" 0.03186" 76" 69 928" 0.03603" 77" 67 496" 0.04079" 78" 64 851" 0.04624" 79" 61 985" 0.05234" 80" 58 902" 0.05897"
40 1980 4 8.888% 1990 10 7.786% 5 1987 6 3.969% 2003 6 0.548% 2012 7 0.836% 37 [] [] (Lorenzo Tonti) Grande Encyclopedie Vol.31)1644 1695 1675 1684 14 ( blanque royale )1656110 5460 50 1660 () 1182 1182
[] [] 63 79 63 7!9 64 10 2500 4.12500!0.041 102.5 2500 10250 2500 2500102.51/1010.25 10.25 4.1 4.1 10.25 1689 1670 (Jacob van Dael) 1671 181718 1717 Jean Henri von Gyldenstein 1711 195 1752 1777 [] (tontinarius) 3 4 82512 20 161640 [] H. 1786 Augustin Kritter (1721-1798) 1768 Allgemeine deutsche Bibliothek, Vol.58 (1784) 197 3000 300 2 2 55 82