How to correctly assess mortality benefits in public policies
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(61) qG«Zu=_4
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(81)
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(92) ]wvi«©]q° = + × − τ @«eh]eRb=`°e¼`>_a_ qdbk«Z[RehDeh][F© ] ¦R¦ ]vedq c¾[Te\5`w_ _a ^Zcqd`n=']w`n[ ¸ceRb=c u «=u=]pZ]w`>[ «Zukv,] . . . . . . . . . . . . . . . . . . =. . . .
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(137) SL cq `"[d]w_2]>Z`u,e¼vw«Zukvw]>~e qdcauvw]eRb=]P^=],`°eRbq. . /. /. −. /. =. 5/. 1/I. 5/I. . 1. . . >. . . . . /. . # 0-=/
(138). . . 0+2 =-0/I . . . . -0/I. 1+ . 5/. . 0-0/. +,#".-0/ I=+, 0-0/4. . =- I. #".- . <. . =. =. =. Y.
(139) `«ca^=]i^ = eRb]"«_actv>½cau½`"®c45]wu Z],`>[ [s]©.`cau½ctu eRbk]p«=~\5_a`°ehca«Zu `wu=^½©U\lqTe5] `,qrqT\5©]w^µeh« Z]"]i§k« qs]w^µeh« «eRb=]>[ vw«=© 5]°eRcau~®½©«=[Teh`>_acfeR [dcqF¹ ¦ `wveh«Z[rq°«=u=]¸.`> «=[ `nu=«~eRb=]>[dWeRb=]> ¸.c2_2_:]Pvw«k\u,eh]w^ `,q+^=]i`°eRbq T[d]w©]w©]>[jlc ®~\[s] m «eRb cau=^=ctvw`°eh«=[rq cauv>[s]w`~qd] \u,eFca_%eRbk] «=~\_2`eRca«Zu [d]w`ivbk]~q½`wu=«~eRb=]n[qReh]w`w^~·qTeh`°eh] v>«=[R[d]qF«=u=^=cau~® e±« QFu¯` ®c4]wu+=],`>[ tWeRb=]>^=]>]wu=^¯«ZueRb=]cau=cfehc2`w__t]i5]w_« ¦ ]°§k« qR\[d] GW `nu=^eRbk] caueh]>[s`w v°ehca«Zu « ¦ eRb [d]w]`>[d`w©]°eh]>[rq°leRbk] _a]>]w_$« ¦ [d]w^\5veRca«Zu ∆dWeRb=] _]u ®~eRb « ¦ eRca©]%\'u,eFca_UeRbk]p«_actv>£cq ¦ \'_t_ ½ct©_t]w©]u,eh]w^ +`>uk^ eRb]"`>[d`w©]°eh]>[rq « ¦ eRbk]µ[dc±qh¹ ¦ \5u=v°ehca«=u τ .
(140). . ∆. 7. N.
(141)
(142) ! "#$ % '&()*"+%,-./.0 21"!")&( 3 4!. ³]e\
(143) qM`>[FcfeR[d`>[dca_ "q´]eeRbk] qdb=`>[s]« ¦ eRb=]+qdb=«=[TeRD2eh]>[F© ] ¦T¦ ]wv°edq 8 7 5,6 `°e$Y' « ¦ eRbk]¼eh«eh`n_ ]§v,]qrq¯[dcqF¹£cau eRb=] [d]w©`wc uk^]n[¯« ¦ eRb=]P`>]>[dW`q c2u jlca®~\[d]µY
(144) :?I«Zu'qdct^=]>[ ¦ ca[rqTeeRbk] cau ¦ _4\ ]wu=vw]« ¦ τ 9;: `wuk^ £«=u eRbk] u\5©.5]n[O« ¦ ^=]i`°eRb'qO`>Z«ca^=]w^'jlca®~\[d] ¡ [d]>=[d]~qd]wu,edqeRbk] eRca©] u=],vw],qqd`>[F eh«+«k eh`>cau eRb=] ¦ \5_2_] ¦T¦ ],v°edq ¦ «=[ τ 9;: »¯`wu=^+^=c ¦R¦ ]>[d]wue5`w_4\5]q:« ¦ ±eRbk] eRca©] _t`>
(145) qd] `w_±qs«"^=]>]wu=^'q-«Zu WA \=e qs«µqd_ ca®beh_4%eRb=`eOcfeM^=«]q:uk«ke-qFb=«~¸ \"cau+eRb] jlca®~\[d] j
(146) [s]>u=vwb©«=[Teh`>_acfeR^=`°eh`¸.]>[d]\
(147) qs]w^UeR«v>bk`>[d`wv>eh]>[Fc !,]eRb=]Ocau=cfeFct`w_
(148) qTeh]w`w^~qTeh`°eh]~ < jlc4®~\[s] ¡ `«~\=ebk]>[d] Q ¦ eRb=] [d]i^\5v°eFc«Zu£cq vw«© _t]°eh] `>u=^ cau'qReh`u,eh`>u=]i«k\
(149) q dWcfeeh`>¹]q «=u=] k]w`w[ τ 9: eR«%qs]°]wu Z]`n[rq τ 9: eh«+«~~eh`>cau¯ o « ¦ eRb=] ©`>§c2© \'© ] ¦T¦ ]wv°e´'Q ¦
(150) Y o Z]w`>[rqsWXeRbk] u\5© 5]>[:« ¦ ]w`>[´q cqO[d]~qF]iv°eFc4Z]_a = `wuk^ ¤lAb,\
(151) q cfeG`>=]w`n[rqOeRb=`°eI¸-b=]u 9;: ¼c uqTeh]w`i^ « ¦ 9;: ceeh`>¹]q$©«Z[s].k]w`>[rqeh«[d]w`iv>bb`w_ ¦ eRb=]«kZ]>[d`w_a_]wu=] ¦ cedqdW τ `nu=^ m=o ©«=[d] ]i`>[rqUτeh«"[d]w`iv>b ¢=¢ « ¦ eRb]+«~]>[s`_t_Z]uk] ¦ cfedq b=]wu%eRbk] eh]>[F© « ¦ eRbk] «=_actvic±q
(152) Y o T]w`n[rq Ocau'qTeh]i`w^+« ¦ WAcfeeh`>¹]qG`°5«~\~e = ©«Z[s].k]w`>[qIeR«+[d]w`wvnb ¦ c ¦ eF ]n[dvw]>u,e« ¦ eRb=]$«kZ]>[d`w_a_]wu=] ¦ cedq Cca©¬ct_t`>[[s]kqR\'_edq`n[d]U«~~eh`wcau=]i^.¸cfehb eRb=]:`>==[d«`wv>bc ueh]>[d© q« ¦ u\5© 5]>[« ¦ _tc ¦ ]M]w`n[°q qs`>]w^%~\=e:eRb=] eRca©]uk],vw]qqd`n[s eh«µ«~~eh`nc u%eRbk] ¦ \5_a_]wu=] ¦ cfedqcq _«u~®]>[b=c±qcq \'ceh] uk«Z[d©`w_Iqdcauvw]`^=],`°eRb¯`>«c^=]w^¯`°eG^=`°eh] vn«k\u,edq:`q:` bk]w`w_feFb+Z]u] ¦ cfeG`°eG^=`°eh] cau eRbk] @ V
(153) S L `>==[s«`wvnb ¸b=]n[d]w`~q£c u eRb=](@¬1³ 0C `n==[r«`wv>bkW eRbk] k]w`n[rq£« ¦ _ c ¦ ] q´`>Z]w^ vi«Z[R[d]qh«Zuk^Zcau~® eh«µeRb=]%«'qTeRk«Zuk]w^ ^=]w`°eRb qh=[d]w`w^ «k5]n[ eRb=]"]>§=]wveh]w^ [d]w©`wc ucau=® _tc ¦ ] N.
(154). N. . . N.
(155).
(156).
(157). . . ".
(158). N. . ". N. . N. nm.
(159) ]§=],v°eh`>ukvi¬`°eX^=`eh] aW=c]~~`reX^=`eh] 2W a W a
(160) YW2a4 b\
(161) qsW]wvw«=u=«©¬ctvvw«Zuqd] \5]wuvw],q¸ct_a_5] qT\'qReh`>uehca`w_tW]qF]ivct`w_2_a ¸.b=]wu ^Zcq´vw«~\ue [s`°eh]qG`>[d]¬b=c¾®bkWqdc ukv,].eRb=]vw«=© ~\=eh`°eRca«=uqO© \
(162) qReeRb=]>ueh`>¹] caueh«¯`wviv>«~\ueeRca© ] _`>qs]qG« ¦ \eR« m=o =],`>[´q5] ¦ «=[d]c ukvw_\5^=cau=® eRbk]]>uehc4[d] ]wu=] ¦ cfedqnQF®=u=«=[Fc4u ® eRbk]~qd]UeRca© ]iDs_t`>®
(163) q$_2]i`w^ q e±«`>u«~]>[d],qTeRca©`°eFc«Zu« ¦ eRb=]e±«eh`>_^Zcqsvw«k\u,eh]w^ u\5© 5][X« ¦ ^=]w`eRbq`>«ca^=]w^' >. 8. 8. /$ 4$$% /.0 ;# 0 # #3% /.0 ; $*"%# +%". ³]e\
(164) q$vw«=u'qdca^]>[bk«k¸ vw]qqd`eFca«=u _2`n®q$` ¦R¦ ],v°eeRb=]Ueh«eh`_^=c±q´vi«k\u,eh]w^¬@ V
(165) S L `uk^ @ ³10 CW `nu=^UeRb=]Ovw«=uqs] \5]wu=v,]q« ¦ ca®u=«=[Fcau~® eRb=]w© b=]e±«eh`>_^Zcqsvw«k\u,eh]w^ u\5© 5]>[« ¦ «=_ac2v>ZDT[d]w_t`°eh]w^^=]w`rebqA`iZ«ca^=]w^cqn ¢
(166)
(167) τ ∆ =
(168) τ ∆ . δ +δ. ¸-b=]n[d] δ ^=]uk«keh],qeRb=]`wu=u\5`w_^Zcq´vw«~\ue$[d`reh]~'S cqsvw«k\u,eFcau ®[s] ¦ _t],v°edqeRb=]caueh]>[s`wv°eRca«=u « ¦ eh]n© «Z[s`_¨=[d] ¦ ]>[s]>uvw] [d]w_t`°ehc4] eh« ^=]w`reRbq `>Z«ca^=],^º`°e ^~c ¦F¦ ]>[d]wue ^=`°eh],q `>uk^ eRb] «===«=[e\u~cfeR vw«'qTe$« ¦ ]wvw«=u=«©ctv[d]qd«~\[dvw],q:^=]>«~eh]w^ eR« eRbk] ~\=_2ctv b=]i`_eFb+«_ ctv>5b] ©`>[h¹]°ecau,eh]>[d]qRe[d`reh] c2qI®]wu=]>[s`_t_ vw«=uqdct^=]>[s]w^ `,q$`.5`w_ac2^ `>==[d«~§ca©`°eFc«Zu `wu=^ δ cqeRbk] qR\=n¶´]vel« ¦ `Uqs]uqdcfehc5cfeR`wuk`_a'q´cqbk]>[d]°\5u=^=]n[" ! bk]wu eRb=]vw]~qrq´`°eRc«Zu _t`>®+cqca®u=«=[d]w^ Tc]~ τ 9: dWeRb=]UeR«eh`>_l^=cqdvw«~\ueh]w^u\5© 5]w[ « ¦ «_actv>DT[s]_t`°eh]i^ ^=]w`°eRbq `>«ca^=]w^ cq uk«keh]i^ #$ % δ, ∆). ?_t]w`>[d_45W #$ % ]°§vi]w]w^q #&$ % δ, τ 9;: ∆) ¦ «Z[ τ 9: o b] δ, ∆) ct©«Z[eh`>u=vi] « ¦ eRb] 4 vw]qqs`°ehca«Zu·_t`>® vw`wu»] «~~eh`wcau=]w^»= vw«=u'qdct^=]>[dc u ®»eRb=] [d`°ehca« + ' ./012 * ,, 3 46 « #$ % δ, ∆) eR« ( τ 57 ( ( ∆ eRbk`°elu=]w]i^qeR« ]O`>=_ac2]i^-eh8 δ( ≡ ./01 2 * ,-, ) + ' ( ( (∆ δ( ®]e'eRb=]Ovn«Z[h[d]wvre'`w_f\ ]~ jl«=[F©`w_a_ :W 9 ^=]>]wu=^'q «Zu ¦ c45] `>[d`w©]°eh]>[rq° δ, τ 9;: `>u=^ ∆ `>u^ qdca© \5_2`eFca«=u'qb`>]MZ]w]wu ©`w^=]eh`>¹cau ®^=c ¦R¦ ]>[s]u,eZ`_4\5]~q ¦ «=[eRb=],qd]O`>[d`w©]°eh]>[rq'Ccau=vi]Uu=« qh]wvwc ¦ ctv.[dcqF¹ ¦ `wv°eh«=[b=`qZ]w]wu+qd]w_t],v°eh]w^=W¸]-vw`>u vw«=uqdct^=]>[eRbk`°eeRb=]:«_ac2v>kDF©`>¹']n[I`wc2© q e±«¬[d]i^\5vw]eRb=]O[d]w_a`°ehc4]O[ cqh¹ ¦ [d«© eR« ]Mbk`>]:vw«Zu'qdct^=]>[s]w^ `U_`>[F®]O[d`wu~®]:« ¦ Z`w_\5]~q ¦ «=[eRb=]`n[d`>©]°eh]>[rq° ∞ =.
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