Risk_Mana..عن التأمين للدكتور ممدوح حمزة

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    !"#$%&'!&()Risk Management

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    Risk Defined :

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    Economic Risks :;>("^4J&!"#$--2:F62$A(Ss1O$/Rn1#$*TUF?0$*aO$)R$WCCLB+,%lB>(6!(01O$/Rn1!_

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    J0a_1'0$;o$p01#$@(7s$;HJE(01!"$W*13p(G4

    Actual or realized Probability :_O?T5&_C>6@45&["+4,:&-2

    !,Dj01 #$@(7s1 FC;$/* &3* 363L(0 a3]1F6$W= !" l)L6 ZQ01 #$@(7s1 '_TUF?,Dj01 j)B $* l)7 vS'(]1 #$@(7s1 Y63DB 5(6 m?L; vS'(]1 #$@(70>"1'B d* 3;." FDS'(]1IP$@(7s1 d* F?,Dj01 IP$@(7s1->(CB ![0 g=N F7.*lV6T(&*Y%& vE`"Hc P6?> "1 EQ0>/p,0 Fu>D]1 F,~$@(]1 I137'01 d* 13w >?Jt 23%]4>):S`-]OYvE`"H5&&nQN>a/p01FwO28;F6'SFS.%3w'B>/p01aO124y1>JRO3S1{r"e1>36>6p$E_MNTv?J,0$uT>D*$DEA*$E_MNFwO2Mr" (K6>73L6d0g=NZN)>jbZT$)65puK6>L0vEA]1>DB#$@(74MNMNy1>Jp01g0O3S1{4$}6NTUvEA]1y1>+,%YJC6!0$(0$;T>jbZT$)Bg630aO'/p01ZT$)B g630 aO'/p01 FwO2 Mr" %100 ZT$)6 5pu K6>L0 vEA]1 >DB #$@(74

    .vEA]1y1>d%vE(@6 'Gg=nz0{T$}6N>jb

    $E_ %20 TN %15 d[(0T >jA01 d% 36XB F@?C; #$@(7s1 y1>Jp01 O3S 1{4 $*N#$@(74 21 $@,tT (8(C;$)01 8(0$L01 !" 1>jb ZT$)B P) aO'/p01 FwO2 F@?S >WB$*3E%z0{T%100 !_T$_$ASN+04YAB+(7aO'/p01FwO2I21$@,t2$L01KCLBQp(* v?/()6P m?7 %50 ZN gCCLB :3%#$@(74 v*2$L01KCLB#$@(74 &T$)(6%50 d% 2$L01 KCLB #$@(74 211{4T KCL(6 'G 80$@(7s1d* ZN 363LB O1>C012$L01 KCLB #$@(74 YA6 $*3E% >jA01 +04 YAB +(7 xjpEB aO'/p01FwO2 Mr"

    .$_$=>t{!(01:$(013t9(01F0$L;`>DB$*!_T%100 +04

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    ["+4,)2c;J?5&osE>(1) {J!A='!E#75&;D!(0m("W5&m0*,

    ;D!('!E#75&100%

    ;C5"K5&G&!&6H5&I"#J ;CDEF&G&!&6H5&I"#J

    90%

    80%

    70%

    60%

    50%

    40%

    30%

    20%

    10%

    {4,:&[&

    100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0%

    :!_I$S.D01d*F%'@V*$E0f}(6K;$)01Y[\01d*T

    >jbaO$)p01#$@(74M'[6$*3E%>jbZT$)BaO'/p01FwO2-1+,% p\01 :3C6 $E_T (2$L01 T37 F0$L(G1 F0$7)M'[B$*3E%>jbZT$)BaO'/p01FwO2$}6NTO1>C01{$pB1Mn (2$L01 T37 d* 3t9(01 F0$7) %100#$@(7s1 F@?S

    .O1>C01{$pB1+,%:3C6d0p\01

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    v* &T$)(B 2$L01 T37 Fb>" MN !ED6 1Q_ Mr" %50+ASN+043t9(01:3%F0$7YAB!0$(0$;Tg~T37:3%Fb>"F0$7!W"$*'@%TU%100 aO'/p01FwO2M'[Bg?,%T$W0F@?S8; Yb$" 37 vuT !" 3?jB $WE[0T$_2'wT lDA6 F6O'bU>jb 8; cT1>(6 #$@(7s1 M$t 1{4) FJw']1 I1O1>C01 ^$/ScT1>(6#$@(7s1M$t1{4) FJ0$)01I1O1>C01^$/S8;T(%50FwO2T#$@(7s18;FS.D01Mr"!0$(0$;T(%100 U%50 8;%50 +(7 >jb d* 5?C01 #$@(7s1 QR96 $*3E% aO'/p01

    :!,6$@tfJAB

    2 !

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    '!E#75&

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    :!,6$@t%100 +04YA6+(7T

    2 !["+4,:&{+41= '!E#75&;D!(2 !(["+4,:& 1) = '!E#75&;D!(

    %60 = 2 "%30 = aO'/p01FwO2Mr" %70#$@(7s1M$t1{r"

    %30 = 2 "%15 = aO'/p01FwO2Mr" %85#$@(7s1M$t1{4T

    %>jb= 2 "%>jb= aO'/p01FwO2Mr"%100#$@(7s1M$t1{4T

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    0.36 = = =

    4TN3TN8~2$7T37#$@(74=YSn1+,%8~2$7T37#$@(74

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    =

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    d[0T2'w'*(>/p01) FE[@]1/p01d*>JtNFwO3;:6#75&"$)p,0 !0$@(7s1 v6'(01T >/p01 8; FS.D01 MN KJG $@* ,p=a12N+04$(L=$E=r">/p01aO1243E%d[0T!0$@(7s1v6'(,01X??@B>J(D6>/p01MN>$)p01 g?" `>LEB MN d[@6 ZQ01 &3]1 h$?S !" :3p()B Yardstick F?$A74a12N +04 $(L= $E=r" >R +ED@;T UY6'/01 Ywn1 !" FDS'(]1 >$)p01 d% F?,Dj01#'7 5?C01 O$\(=1 ?CB !(01 F?$A7s1 I1T2n1 d* 363D01 $E_T >/p01 h$?C0Standard ZO$?D]1 `1>L=s1 $*13p(G4 $_>tNT ?6$C]1 eQ_ 5_N d*T G'(]1

    d%5?C01I$"1>L=1I$D;>*G'(]lw']1!D?;>(01OQV01) d%aO$J%'_TDeviationaO$J%M'[6ZO$?D]1 `1>L=s1Mr"F?0$@(7s1I$D6'(01F0$7!"T(!;$)L01$W/G'(*$W/G'(*d%5?C01I$"1>L=1 I$D;>*->uYb$7^'@V]lw']1!D?;>(01OQV01) d%

    .($WBP$@(74!"!;$)L01:F?0$@(7s1I$D6'(01d*ZO$?D]1 `1>L=s1-$)7I1'/Rfu'=!,6$@?"T

    Yb$7 ^'@V* d% aO$J% '_T) >$)p01 5?S G'(* -$)7 -1.($WBP$@(74!"aO$)p01I$|"Xt1>*->u

    +@)6) >$)p01I$|" Xt1>*v?@w d* >$)p01 G'(* c> -2.($W/GTd%5?C01`1>L=$;

    3- $W/GTd%5?C01I$"1>L=1v?;>B.

    4- >$E]1 #$@(7s1 !" $W/GT d% 5?C01 I$"1>L=1 v;>* ->ud6$J(0$;+@)6$)p015?ShU("2d6$J(01OQw) ZO$?D]1 `1>L=s1 ":m?7.aO$)RYtT37#$@(74(h)cU>$)p015?S

    :FC;$)01F~.01F?0$@(7s1I$D6'(,0ZO$?D]1 `1>L=s1-$)75(6!,6$@?"T

    z!"

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    50000

    `1>L=s1"=223.607

    z!"

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    1>?Jt:N1>?ib

    ZO$?D]1 `1>L=s1MN d* 8VB$=8C;$)01801H)01 M4 #'CE" z0{+,%l?V=lDA6 $@t g?,% 5[L01 lDA6 !0$(0$;T FC,/* F?@SO aO'b !" R h$?C* +,% >/p01 h$?S !" 3@(D=

    :m?7Variationz!"

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    0 0.30 0 0

    1000 0.25 250 250000

    2000 0.20 400 800000

    3000 0.15 450 1350000

    4000 0.10 400 1600000

    IE+@F&1.00

    1500 =4000000

    "2(1500)4000000 =

    1322.876 = 175000 =

    F0X(p]1h5?S!,%YALE"#d[?0T>(\*Y*$%!,%h5?SF@)Sd[@6$@t(F0X(p]1 h) o 5?SG'(* '_ F?,bn1h5?SG'(* M'[6T oX*>0$;$W0X*>E0T

    :MNZNU#>(\]1Y*$D01!"$;T>}*

    =

    h) 5?C0 ZO$?D]1 `1>L=s1 '_ F?,bn1 5?C0 ZO$?D]1 `1>L=s1 Mr" $}6NT:MNZNU[>(\]1Y*$D01!"$;T>}*(F0X(p]1

    [ !" = "

    :!,%YAL=K;$)01#T3V01I$=$?;!,%z0{K?J/(;TZO$?D]1`1>L=s1-$)7(9) 5SO#T3w

    '!"K75&

    ["+4,:&)/)

    '!"K75&(;5.47F&)

    1000 =

    !'!"K75&["+4,:&

    )/!)

    !2'!"K75&["+4,:&

    )/!2)

    0 0.30 0 0 0

    1000 0.25 1 0.25 0.25

    2000 0.20 2 0.40 0.80

    3000 0.15 3 0.45 1.35

    4000 0.10 4 0.40 1.60

    IE+@F& 1.00 1.5 = 4

    = 1000 =#m?7

    1500= 1000!

    1.5 =

    2}(()/!)V*{ (()/!2)V* = "

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    21.5 4 = "

    1.322876 = "

    [ !" = "

    .FV?(E01j=!_T1322.876 = 1000!1.322876 =$@W=N>/p01h$?S!"ZO$?D]1`1>L=s1TN`.(Rs1Y*$D*:13p(G4l?D6T371TT >jb8;g0.RvC6MN d[@6ZQ01 Z3]1 cT1>(6 m?7) aO$)p01 #$@(74 `.p;?0!0$(0$;TF6$W=P$*T>jb8;g0.R$DC6MNd[@6ZQ01&3]1cT1>(6m?7(f?Lb

    .$@_>?)jBYW)01d*!" M$j,(p6 8?0$@(74 8D6'B 8; F=O$C]1 !" `.(Rs1 Y*$D* F?@_N 1T3JBT h$?C@tZO$?D]1 `1>L=s1:13p(G4d[@6PF0$L01eQ_!"g=naO$)p,0FDS'(]1F@?C01QR9=z0{f?u'(0TU8D6'(018;aO$)p,0FDS'(]1F@?C01ZT$)B>LBP4>/p,0

    :!0$(01#$]1

    g(@?S !=$01T g?Ew 120000 g(@?S #Tn1 :80XE* 37N y1> z?,% >% :(2) ["\1K6>L,0F,;$C01>?y$?n1F@?S,JBTUK6>72$L0>D*$@WE*YtTg?Ew140000

    :!,6$@taO$)p,0!0$@(7s1v6'(01M$tTU%20

    _`"\5&_5"+4,:&b>BE45& [0%&_5"+4,:&b>BE45&'!"K75& ["+4,:& '!"K75& ["+4,:&

    0 0.20 0 0.20

    15000 0.30 25000 0.35

    35000 0.25 50000 0.30

    55000 0.15 75000 0.10

    75000 0.06 100000 0.05

    95000 0.04

    O$(pB80XE]1Z9"`.(Rs1Y*$D*ZN)YSNg?">/p01F@?SM'[BZQ01#XE]1O$?(R45(?GvJ/0$;:AW5&

    :!0$(01'LE01!,%z0{5(6TU(YSNe>$)p0!0$@(7s1v6'(,0

    [0%&_5"+4,:&b>BE4O5z!"

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    25257.87

    0.848==>/p01F@?S\29800

    25257.87

    0.263==>/p01F@?S:TN96000

    (FE[@*F@?S!ASNTN)>/p,0>D*F@?S!ASN:m?796000 = 80% !120000 =

    _`"\5&_5"+4,:&b>BE4O5z!"

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    :()_5"+4,:&b>BE4O5z!"

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    !#

    =[ :m?7*>*@5&G&*,E5&(*Y

    ={>*H5&G&*,E5&(*Y

    ! =

    {>*H5&6#75&;+*H5&6#75&;+*@5&G&*,E5&(*Y *>*@5&G&*,E5&(*Y

    OQV01 ZT$)B g(@?S Y*$D@; (S$E(B TN 361X(B) >?i(B 563C01 >/p01 F@?S \

    QR9= z0{ f?u'(0T U563C01 I137'01 23%T 363V01 I137'01 23% 8; FJ)E,0 !D?;>(01:!0$(01#$]1:(3) ["\1

    v6'(01 #.R d*T I1O$?G 4 $W630 F?%1OX01 Y?b$L]1 YCE0 &3W01 Ft>ZO$?D]1 `1>L=s1T2000G'(]1MN$E08JBF6'E)01>$)p015?S^'@V]!0$@(7s1F@?S+,%z0{>?~9B$@"U&>RNaO$?G2 23%y1>IO>SFt>\01MN@,%1{r"U3500

    .>/p01:AW5&

    ZO$?D]1 `1>L=s1= 563C01>/p01F@?S

    G'(]1

    1.75 = =

    *>*@5&G&!"*H5&G&!"$)p01^'@V*G'(*9G'(*!/D69 !"->}01Ta371Ta37TG'(*!/DB4 +,%F@)C01:;j,1

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    (I137T

    FC;$)01F7.]1j= !3500 = 363V01ZO$?D]1 `1>L=s15250 = 1.5 !3500 =

    1.167 = = 363V01>/p01F@?S+,% 563C01 >/p01 F@)S #.R d* a>$J* FV?(E01 eQW0 #'b'01 d[@]1 d*T

    :a2$6X01Y*$D*OQw

    ZO$?D]1 `1>L=s1= 563C01>/p01F@?SG'(]1

    1.75 = =

    {>*H5&6#75&;+*@5&6#75&;+

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    3.0625 = !0.1225

    3.0625 =2M!0.030625

    100 = =2M \

    1.75 d* >/p01 x?jpB +04 Z2H6 ZQ01 363V01 I137'01 23% Y@B 2M m?70.35 +04

    6k"K75&

    IE+@F

    _5"+4,:&

    b>BE45&

    6U&Ee

    h*Y

    ;5",

    _U

    6#75&

    "ENK5&!"TFD;$((*>$)Ra3%371'01>/p01lJ)*d%$)p01^'@V]!0$@(7s1v6'(01213%43E%Yt$\*a3%$EWw1'Bd[0T!0$@(74 v6'B213%4 5(6 +(7 I1'E)01 d* 13w >?Jt 23% +04 $(L= $E=N $W@_N d*$WD?@VB 5(6 FEG ZN #.R 3LB !(01 >$)p01 v?@w Mn z0{T g?,% 2$@(%P1 d[@6

    Mr"

    !0$(0$;T(

    >$)p01

    ^'@V*)

    !1'\D01

    >?i(]1

    5?S

    37N

    d%

    >JDB

    a371T

    F@?S

    >J(DBT>JD6d0$J0$F?u$*FEG30TN20 a>JRd*g?,%YAL=3SZQ01!0$@(7s1v6'(01$}6NT.>/p0$;F/?L]1`T>01>?iB$*4TO$DGn1>?iB$*4YJC()]1!"3L?G$@%I137'01 d* 13w >?Jt 23% +04 >$)p01 ^'@V] !0$@(7s1 v6'(01 213%s $(L= 3Sg=N !" Y@(B $}6N F,[\]1T U371T #T3w !" $WB>JR v?@VB 5~ (I\E]1) F,~$@(]1y$?n1 5?S TN >/p,0 $Wu>DB !" y1'G F,~$@(]1 I137'01 d* >?Jt 23% >"1'B lDA6

    .$WE*Yt!">/p,0Fu>D]1>$)p01^'@V]!0$@(7s1v6'(01213%r;&>RNF,?GT$E*$*NM'[6P!0$(0$;TUaO$)p01F@?C0!0$@(7s1v6'(01T21'L0123D0!0$@(7s1v6'(01+,%2$@(%P1&'G!" g*13p(G4TaO$)p01F@?C0 !0$@(7s1 v6'(01213%4F?j?t !,6 $@?" fu'= `'GT

    .>/p01h$?S!"g*13p(G4+04F"$us$;Fj,(p]1IP$@(7s1-$)7

    '*,0

    (ED0

    ;5",

    _U

    6k"K75&

    IE+@F

    _5"+4,:&

    b>BE45&

    *>*We:

    V~0-:'*,&06#$UvEA* UaO$?G) a371T >/R a37T $W630 M'[6 a9\E]1 Mr" F0$L01 eQ_ !"d* >tN TN FE)01 #.R >tn1 +,% 371T 2$L0 Fu>D* M'[B a37'01 eQ_T (FE?jGTNa>*Yt!"F(;$~aO$)R$*42$L01+,%lB>(6g=r"80$L01!"TUFE)01#.R2$7v6'(01 363LB F?j?t !,6 $@?" fu'=T U(a>?i(* aO$)R) >R 2$7 d* $W(@?S >?i(Bv6'(01 :13p(Gr; a371T >/R a37T 2'wT F0$7 !" >$)p01 ^'@V] !0$@(7s1v;On1 IP$L01 !" aO$)p01 F@?C0 !0$@(7s1 v6'(01 TN 21'L01 23D0 !0$@(7s1

    .FC;$)016#75&'*,06?e;5",_U6k"K75&IE+@F_5"+4,:&b>BE45&*>*We-1

    :;4c"'!"K75&06\g%&]OYm("W5

    2$L0 Fu>D* M'[BTa371T >/R a37T z,(@B a9\E]1 MN 3V= F0$L01 eQ_ !"fu'=T$@12F(;$~aO$)Rg?,%lB>(6g=r"gCCLBF0$7!"TFE)01#.R>tn1+,%371T.>$)p01^'@V]!0$@(7s1v6'(01 363LBF?j?t!0$(01#$]1#.Rd*

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    :(5) ["\1!,6 $@?"T FS>)01 >/p0 Fu>D*T g?Ew 2000 $W(@?S F?E" F7'0 p z,@(6

    :aO$)p01F@?C0!0$@(7s1v6'(01T21'L0123D0!0$@(7s1v6'(01

    (*?5_5"+4,:&b>BE45&m(&EW5&

    ;+

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    2[((:) c!:)V*] ((:)c!2:)V* = "

    2(400) 800000 =

    160000 800000 =

    " = 640000 = 800\

    z!"

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    0.006 = 0.03 !0.20 = g?Ew30000 ZT$)6>$)p01^'@V*MN#$@(74-0.004 = 0.02 !0.20 = g?Ew40000 ZT$)6>$)p01^'@V*MN#$@(74-

    :!,6$@t>$)p01^'@V]!0$@(7s1v6'(01M'[6T

    6k"K75&IE+@F_5"+4,:&b>BE45&6k"K75&IE+@1 ["+4,:&

    >jb 0.800

    5000 0.120

    10000 0.050

    20000 0.020

    30000 0.006

    40000 0.004

    IE+@F& 1.000:!0$(01'LE01+,%ZO$?D]1 `1>L=s1-$)75(6>/p01h$?C0T

    z!"

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    64|F&A1"?5&! 2[ ((h)/!h) @1] - ((h)/! 2h) @1 = "

    5000 ! 2

    (0.368) 1.112 =

    5000 !0.135424 1.112 =

    "\ = 0.976576

    !

    5000 = 4941.093

    z!"

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    :AW5$@(7r;) 2$L013L6PN$*4g=N21'L0123D0!0$@(7s1v6'(01d*f}(6

    8~2$73L6MN$*4TU(0.14#$@(7r;)C"371T2$73L6MN$*4T(0.80.(0.02#$@(7r;) FE)01#.R21'73 3L6MN$*4TU(0.04#$@(7r;)

    F0$7!"g=Nm?7F(;$~$W=NaO$)p01F@?C0!0$@(7s1v6'(01d*f}(6$@t:z0{+,%lB>(6TU(1.00#$@(7r;) 2000 $@12aO$)p01F@?SMr"2$L01T37ZT$)6>$)p01^'@V*Mr"(0.80#$@(7r;) 2$7ZNT37:3%F0$7 !"g=N-

    .>jb\0.80 = 2$7ZNT37:3%#$@(74=>jbZT$)6>$)p01^'@V*MN#$@(74

    2000 ZT$)6>$)p01^'@V*Mr"(0.14#$@(7r;) 371T2$7T37F0$7 !"g=NT-.(1.00#$@(7r;)

    M'[BT371T2$7T37#$@(74= g?Ew2000 ZT$)6>$)p01^'@V*MN#$@(74\0.80 = 1.00 !0.80 = g?Ew2000 g(@?S

    2 !2000 ZT$)6>$)p01^'@V*Mr"(0.04#$@(7r;) 8~2$7T37F0$7!"g=NT-.g?Ew4000 =

    YtF@?SM'[BT8~2$7T37#$@(74 = 4000 ZT$)6>$)p01^'@V*MN#$@(74\0.04 = 1.00 !0.04 = g?Ew2000 2$7

    !

    2000 ZT$)6>$)p01^'@V*Mr"(0.02#$@(7r;) 21'73 T37F0$7!"g=NT-6000 = 3M'[BT21'73 T37#$@(74= g?Ew6000 ZT$)6>$)p01^'@V*MN#$@(74\

    0.02 = 1.00 !0.02 = g?Ew2000 2$7YtF@?Sv6'(01d%aO$J%M'[6>$)p01^'@V]!0$@(7s1v6'(01MNKJG$@*7.=T

    F(;$01aO$)p01F@?S!"21'L0123%2'@%5?S->uv*21'L0123D0!0$@(7s1:>$)p01^'@V]!0$(01!0$@(7s1v6'(01+,%YALE"2000 !_T

    m(&EW5&(*?5_5"+4,:&b>BE45&6k"K75&IE+@1 ["+4,:&

    6TX 0.80

    2000 0.14

    4000 0.04

    6000 0.02

    IE+@F& 1.00

    Fu>D*F@?S+ASN+,%g(@)S5~PTNZO$?D]1 `1>L=s1363LB5(6>/p01h$?C0T:!0$(01'LE01+,%z0{T>/p,0

    IE+@F_5"+4,:&b>BE4O5z!"

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    64|F&A1"?5&! 2[(( h) /!h) @1] (( h)/!2h) @1 = "

    2000 !2(28) 0.48 =

    2000 ! 0.0784 - 0.48 =

    " = 0.4016 ! 2000

    1267.438 = 2000 ! 0.63371918 =

    z!"

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    0.06 = 0.10 !0.60 z0{#$@(74T50000>$)p01^'@V*ZN40000 U10000TN0.18 = 0.60 !0.30 z0{#$@(74T30000>$)p01^'@V*ZN10000 U20000TN0.09 = 0.30 !0.30 z0{#$@(74T40000>$)p01^'@V*ZN20000 U20000TN0.03 = 0.10 !0.30 z0{#$@(74T60000>$)p01^'@V*ZN40000 U20000TN0.06 = 0.60 !0.10 z0{#$@(74T50000>$)p01^'@V*ZN10000 U40000TN0.03 = 0.30 !0.10 z0{#$@(74T60000>$)p01^'@V*ZN20000 U40000TN0.01 = 0.10 !0.10 z0{#$@(74T80000>$)p01^'@V*ZN40000 U40000TN!" $Wu>% d[@6 g=r" FE[@]1

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    :!0$(01!0$@(7s1v6'(01

    6k"K75&IE+@F_5"+4,:&b>BE45&(16) {J![0*D6k"K75&IE+@1 ["+4,:&

    6TX 0.80

    10000 0.09

    20000 0.063

    30000 0.018

    40000 0.0195

    50000 0.006

    60000 0.003

    80000 0.0005

    IE+@F& 1.00

    :m?7F;',/]1IP$@(7s1-$)7d[@6>$)p01^'@V]!0$@(7s1v6'(01d*T0.006 = 50000 ZT$)6>$)p01^'@V*MN#$@(74 --

    50000 2T37!"M'[6>$)p01^'@V*MN#$@(74 -50000 d%YC6TNZT$)6>$)p01^'@V*MN#$@(74=

    0.9965 = 0.80 + 0.90 + 0.063 + 0.018 + 0.0195 + 0.006 =

    50000 d%36X6>$)p01^'@V*MN#$@(74-20.0035 = 0.0005 + 0.003 =

    :!0$(01'LE01+,%z0{TZO$?D]1 `1>L=s1-$)75(6>/p01h$?C0T

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    IE+@F_5"+4,:&b>BE4O5z!"

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    z!"

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    ((M)c!M)V*=

    0.25 =

    2(((v)/!v) @1) ((v)/!2v) @1) =v"\

    2(0.25) 0.35 =

    0.0625 0.35 =

    0.536190264 = 0.2875 =v\"

    '!"K75&;+

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    10000 !2.56 - 3.40 =

    10000 ! 0.84 =

    9165.151 = 10000 ! 0.916515139 = "

    v ! ! =

    40000 = ! 16000 ! 0.25 =

    a371Ta37T#$]11Q_!"!_T>/p,0Fu>D]1I137'01 23%Y@BMm?7

    v ! [v2"!

    2) + (

    2" ! )] = :"

    1 ![(0.5361902642!

    216000) +

    2(916.151 !0.25)] =

    ( 73600000 + 21000000 ) =

    9726.253 = 946000000 = h "

    ."M?i(*aO$)R)>R2$7d*$W(@?S>?i(BTNa>*Yt!"d[0T FC;$)01 FC6>/0$; >$)p01 ^'@V] !0$@(7s1 v6'(01 363LB lDA6 g=r" >/p,0:$WE*e363L(0&>RNF?J6>CBq>:3p()B

    The normal !D?J/01 v6'(01 :13p(Gr; l6>C(01 -1.approximation

    The chebyshev ?\J?\B K6> :13p(Gr; l6>C(01 -2.method

    3- #$"'62 80 K6> :13p(Gr; l6>C(01 The Allen-Duvalmethod.

    4- F?D?J/01 &'C01 F012 K6> :13p(Gr;l6>C(01The norm al power

    method .5- Iv6'BFC6>:13p(Gr;l6>C(01The student T distribution.6- O'w24F,),)(*FC6>:13p(Gr;l6>C(01Edgeworth series.7- d6>RTM')='wFC6>:13p(Gr;l6>C(01.8- M'(E M$*';FC6>:13p(Gr;l6>C(01.9- M'G>?;#O$tFC6>:13p(Gr;l6>C(01.

    10- a$t$L]1FC6>:13p(Gr;l6>C(01Simulation.11- 3@(DB !(01 &>Rn1 F?u$6>01 q>/01 xD; :13p(Gr; l6>C(01

    Y*$[(01I$?@,%+,%.y1>ws FC$j01 F%>)0$; X?@(B a363w #$?wN O'WT F?01 I$JG$L01 >"1'B v*T?); ; F;$([; I$=$?J01 d6>p(0 F,$W01 aO3C01 +04 F"$us$; F?;$)L01 I$?,@D01

    G1 TN Y[ 363LB MT2) >$)p01 ^'@V] 0$@(7s1 v6'(01 +04 #'b'01 d[@6

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