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    This workbook is meant to accompany "Commercial Real Estate Analysis & Investments", 3

    This workbook is meant strictly or ed'cational 'se o liability is ass'med or the content

    The worksheets contained herein present templates or applyin* portolio theory to optimi-

    The a'thors aknowled*e .onstantinos .alli*eros or preparation o this workbook

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    rd Edition, by D!eltner & #iller, $ Thomson%o'th()estern Colle*e +'blishin* Co

    r 'sa*e o this ed'cational tool

    e portolio allocations

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    READ ME FIRST!There are no macros in this version.

    Worksheet tab:

    DATA & STATSCopy and paste into the spreadsheet the periodic returns, obtained from ENCORR or other database.

    Use the white cells to enter names for them. Een if you hae fewer than !" assets, enter dummy names for all of them. #he

    don$t e%ist, but & haen$t tested to see how the O'#&(&)ER and C*'( work without all !" assets.

    *lternatiely, if you dont$ want to use historical data to +oern your risk and return e%pectations inputs i.e., you are workin+

    Corrections

    Use this spreadsheet to correct the historical statistics with forward-lookin+ e%pectations for the returns, olatilities and correl

    #he alues you enter in the white cells will be *00E0 al+ebraically to the historical data. Remember that both olatilities and

    e%pressed per time period used in the raw data preious worksheet. #hat is, don$t add annual return corrections to monthly

    #his is where you also +et rid of the dummy securities, by ensurin+ that they don$t enter you portfolio choice. 4ow5 6y assi+n

    and ery hi+h olatility and correlation with the other assets.

    &f you are workin+ with user-specified e% ante mean and olatilities and correlations inputs not historical data, then /ero out

    #he cells with white font on chaded back+round +enerate the correlation and coariance matrices by addin+ the trian+ular m

    OPTIMIZER(all ris"

    &n the E8r9 column, enter the e%pected returns for which you want the frontier to be drawn. &n the portfolio wei+hts area, you m

    optimi/er to start with. & enter an eually wei+hted porftolio eerywhere or sometimes /eros eerywhere works better. ;rom

    &noke the E%cel 2oler in the

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    spreadsheet is fancy and deletes the entries of assets that

    ith user-specified e% ante mean and olatilities and correlations inputs, then if your prefer you can /ero out the 0*#* 1 2#*#2 sheet and

    ations.

    returns are

    return data, or you$ll +et silly results3

    in+ ery low een ne+atie returns to them

    the 0*#* 1 2#*#2 sheet and +o to the Corrections sheet and enter your risk and return e%pectations directly there. #he optimi/ation 2ol

    atrices to their transposes. (echanics7

    ay initially enter some arbitrary wei+hts for the

    an optimi/ation perspectie, this is not the most efficient startin+ ector, but it works3

    fie times to map out the efficient frontier on fie points.

    > is minimi/ed, and

    pondin+ to to the tar+et Er the 2oler solution applies to the one you ust ran.

    esondin+ to the tar+et return you ust ran.

    d the spreadsheet. 0on$t worry about them3

    m, in 6!A.

    ll CB.

    re.

    oler.to !??@.

    here eeryone shares the e%pectations you entered, and ?@ (J# and "?@ riskless, and, say

    , chan+e the a%is ran+e, titles, le+ends, and labels in this chart, to reflect your e%ercise.

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    then +o to the Corrections sheet and enter your risk and return e%pectations directly there. #he optimi/ation 2oler takes its inputs from t

    er takes its inputs from the Corrections sheet.

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    he Correctio

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    #ISTORICA DATA A)D STATISTICS

    RET*R)S

    2tocks 6onds Real Estate " K > H B

    ?.!AH ?.?DH ?.?DD L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3

    %OATIIT+ ('er time increment o ,ata"

    ?.!HK ?.!!B ?.?D? L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3

    CORREATIO) MATRI-

    2tocks !.???? ?.AHA! ?.!>KB LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    6onds !.???? -?.A!?" LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    Real Estate !.???? LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    " LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    K LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    > LM*GUE3 LM*GUE3 LM*GUE3

    H LM*GUE3 LM*GUE3

    B LM*GUE3

    D

    !?

    !!

    !A

    !=

    !"

    #ISTORICA RET*R)S

    *22E# 0*#E 2tocks 6onds Real Estate " K > H B

    !DH? ".?!@ !A.!!@ A?.KK@

    !DH! !".=!@ !=.A=@ !>.?D@

    !DHA !B.DB@ K.>D@ A."?@

    !DH= -!".>>@ -!.!!@ >.!B@

    !DH" -A>."H@ ".=K@ -"."K@!DHK =H.A?@ D.A?@ K."=@

    !DH> A=.B"@ !>.H>@ AK.?>@

    !DHH -H.!B@ -?.>B@ !?.A>@

    !DHB >.K>@ -!.!B@ A!.?!@

    !DHD !B.""@ -!.A=@ A".=?@

    !DB? =A."A@ -=.DK@ !K.K>@

    !DB! -".D!@ !.B>@ A?.D>@

    !DBA A!."!@ "?.=>@ -A."D@

    !DB= AA.K!@ ?.>K@ !".!D@

    !DB" >.AH@ !K."B@ !".="@

    !DBK =A.!>@ =?.DH@ B.!>@

    !DB> !B."H@ A".K=@ !.D!@

    !DBH K.A=@ -A.H!@ ".!B@

    !DBB !>.B!@ D.>H@ H.BB@

    !DBD =!."D@ !B.!!@ =.=!@

    !DD? -=.!H@ >.!B@ -K.HB@

    !DD! =?.KK@ !D.=?@ -!?.>=@

    !DDA H.>H@ B.?K@ !.A=@

    !DD= D.DD@ !B.A"@ !A.=D@

    !DD" !.=!@ -H.HH@ !H.?K@

    !DDK =H."=@ =!.>H@ !!."D@

    !DD> A=.?H@ -?.D=@ !>.!?@

    !DDH ==.=>@ !K.BK@ !D.H!@

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    !DDB AB.KB@ !=.?>@ !D.!=@

    !DDD A!.?"@ -B.D>@ K.!A@

    A??? -D.!!@ A!."B@ !=.=D@

    A??! -!!.BB@ =.H?@ ?.B=@

    A??A -AA.!?@ !H.B"@ >."H@

    A??= AB.H?@ !."K@ !K.>B@

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    D !? !! !A != !"

    L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3

    L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3

    LM*GUE3

    D !? !! !A != !"

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    Forar,/looin0 corrections

    RET*R)S CORRECTIO)S // a,,itive

    2tocks 6onds Real Estate " K > H B

    -=@ -"@ -=@ -!??@ -!??@ -!??@ -!??@ -!??@

    %OATIIT+ CORRECTIO)S // a,,itive

    -A@ -"@ !@ ?@ ?@ !??@ !??@ !??@

    CORREATIO) MATRI- corrections

    2tocks =@ B@ ?@ !??@ !??@ !??@ !??@

    6onds =>@ ?@ !??@ !??@ !??@ !??@

    Real Estate ?@ !??@ !??@ !??@ !??@

    " !??@ !??@ !??@ !??@

    K !??@ !??@ !??@

    > !??@ !??@

    H !??@

    B

    D

    !?

    !!

    !A

    !=

    !"

    FI)A DATA & CAC*ATIO)S

    CORRECTED RET*R)S

    2tocks 6onds Real Estate " K > H B

    !?.??@ >.??@ H.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@

    CORRECTED %OATIITIES

    !K.??@ B.??@ !?.??@ ?.??@ ?.??@ !??.??@ !??.??@ !??.??@

    CORRECTED CORREATIO)S

    2tocks !.???? ?.=??? ?.AK?? - !.???? !.???? !.???? !.????

    6onds ?.=??? !.???? ?.!K?? - !.???? !.???? !.???? !.????

    Real Estate ?.AK?? ?.!K?? !.???? - !.???? !.???? !.???? !.????

    " - - - !.???? !.???? !.???? !.???? !.????

    K !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    > !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    H !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    B !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    D !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????!? !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    !! !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    !A !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    != !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    !" !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    FI)A CO%ARIA)CE MATRI-

    2t0 ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !K.??@ ?.?A= ?.??" ?.??" ?.??? ?.??? ?.!K? ?.!K? ?.!K?

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    B.??@ ?.??" ?.??> ?.??! ?.??? ?.??? ?.?B? ?.?B? ?.?B?

    !?.??@ ?.??" ?.??! ?.?!? ?.??? ?.??? ?.!?? ?.!?? ?.!??

    ?.??@ ?.??? ?.??? ?.??? ?.??? ?.??? ?.??? ?.??? ?.???

    ?.??@ ?.??? ?.??? ?.??? ?.??? ?.??? ?.??? ?.??? ?.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    !??.??@ ?.!K? ?.?B? ?.!?? ?.??? ?.??? !.??? !.??? !.???

    1 2 3 4 5 6 7 8

    1 !.?? ?.=? ?.AK - !.?? !.?? !.?? !.??

    2 - !.?? ?.!K - !.?? !.?? !.?? !.??

    3 - - !.?? - !.?? !.?? !.?? !.??

    4 - - - - !.?? !.?? !.?? !.??

    5 - - - - - !.?? !.?? !.??

    6 - - - - - - !.?? !.??

    7 - - - - - - - !.??

    8 - - - - - - - -

    9 - - - - - - - -

    1: - - - - - - - -

    11 - - - - - - - -

    12 - - - - - - - -

    13 - - - - - - - -

    14 - - - - - - - -

    1 2 3 4 5 6 7 8

    1 !.?? - - - - - - -

    2 ?.=? !.?? - - - - - -3 ?.AK ?.!K !.?? - - - - -

    4 - - - - - - - -

    5 !.?? !.?? !.?? !.?? - - - -

    6 !.?? !.?? !.?? !.?? !.?? - - -

    7 !.?? !.?? !.?? !.?? !.?? !.?? - -

    8 !.?? !.?? !.?? !.?? !.?? !.?? !.?? -

    9 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    1: !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    11 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    12 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    13 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    14 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

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    D !? !! !A != !"

    -!??@ -!??@ -!??@ -!??@ -!??@ -!??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@

    !??@ !??@ !??@

    !??@ !??@

    !??@

    D !? !! !A != !"

    -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@

    !??.??@ !??.??@ !??.??@ !??.??@ !??.??@ !??.??@

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.??? !.??? !.??? !.??? !.??? !.???

    ?.!K? ?.!K? ?.!K? ?.!K? ?.!K? ?.!K?

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    ?.?B? ?.?B? ?.?B? ?.?B? ?.?B? ?.?B?

    ?.!?? ?.!?? ?.!?? ?.!?? ?.!?? ?.!??

    ?.??? ?.??? ?.??? ?.??? ?.??? ?.???

    ?.??? ?.??? ?.??? ?.??? ?.??? ?.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    9 1: 11 12 13 14

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    - !.?? !.?? !.?? !.?? !.??

    - - !.?? !.?? !.?? !.??

    - - - !.?? !.?? !.??

    - - - - !.?? !.??

    - - - - - !.??

    - - - - - -

    9 1: 11 12 13 14

    - - - - - -

    - - - - - -- - - - - -

    - - - - - -

    - - - - - -

    - - - - - -

    - - - - - -

    - - - - - -

    - - - - - -

    !.?? - - - - -

    !.?? !.?? - - - -

    !.?? !.?? !.?? - - -

    !.?? !.?? !.?? !.?? - -

    !.?? !.?? !.?? !.?? !.?? -

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    PORTFOIO OPTIMIZER (minimi;e variance"

    MEA)/%ARIA)CE A)A+SIS

    R < 3.::=

    StD S#ARPE 2tocks 6onds Real Estate " K > H B

    >.?@ >.>=@ ?."KAH> K@ KD@ =K@ ?@ ?@ ?@ ?@ ?@

    H.?@ >.BD@ ?.KB?>= !>@ "B@ =>@ ?@ ?@ ?@ ?@ ?@

    B.?@ B.>?@ ?.KB!!B "!@ A=@ =>@ ?@ ?@ ?@ ?@ ?@

    D.?@ !!.=?@ ?.K=?HD >H@ ?@ ==@ ?@ ?@ ?@ ?@ ?@

    !?.?@ !K.??@ ?.">>>H !??@ ?@ ?@ ?@ ?@ ?@ ?@ ?@

    CAC*ATIO)S

    *22E# EI' RE#URN2 !?.??@ >.??@ H.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@

    >EI?#TED PAIR>ISE CO%ARIA)CE MATRI-

    'OR#;OG&O WE&4#2 5= 59= 35= := := := := :=

    K@ ?.????K" ?.???!?" ?.????>K ? ? ? ? ?

    KD@ ?.???!?" ?.??AA"K ?.???AK! ? ? ? ? ?

    =K@ ?.????>K ?.???AK! ?.??!AKA ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ??@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    #*RE# RE#URN 6.::=

    'OR#;OG&O M*R&*NCE :.44=

    'OR#;OG&O 2#0 6.63=

    E@r

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    D !? !! !A != !"

    ?@ ?@ ?@ ?@ ?@ ?@

    ?@ ?@ ?@ ?@ ?@ ?@

    ?@ ?@ ?@ ?@ ?@ ?@

    ?@ ?@ ?@ ?@ ?@ ?@

    ?@ ?@ ?@ ?@ ?@ ?@

    -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@

    := := := := := := !??@ >.???@

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    TTPORTF

    PORTFMEA)

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    Portolio O'timi;er ith Risless Asset (Shar'e/MaBimm"

    MA- S#ARPE RATIO PORTFOIO

    R < 3= ?

    E@r < 7= &('G&E2 D?@ & N (J# 'OR# *N0 !?@ & N R&2JGE22 *22E#, W 2#0 >.H@

    Rm StD S#ARPE 2tocks 6onds Real Estate " K > H B

    H."@ H."D@ ?.KD"=H AH@ =H@ =>@ ?@ ?@ ?@ ?@ ?@

    2harpe ?."H ?.=B ?."?

    Wealth 2hares: AK@ ==@ =A@

    CAC*ATIO)S

    *22E# EI' RE#URN2 !?.??@ >.??@ H.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@

    >EI?#TED PAIR>ISE CO%ARIA)CE MATRI-

    'OR#;OG&O WE&4#2 27= 37= 36= := := := := :=

    AH@ ?.??!>HDAD ?.???=>=H ?.???=>KH ? ? ? ? H.=BE-?!!

    =H@ ?.???=>=H! ?.???BHK= ?.???!KB" ? ? ? ? K.==E-?!!

    =>@ ?.???=>KH= ?.???!KB" ?.??!AH"" ? ? ? ? >."=E-?!!

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ H.=BAE-?!! K.==?E-?!! >."=!E-?!! ? ? ? ? =.AKE-?!B

    ?@ H.=BAE-?!! K.==?E-?!! >."=!E-?!! ? ? ? ? =.AKE-?!B

    ?@ H.=BAE-?!! K.==?E-?!! >."=!E-?!! ? ? ? ? =.AKE-?!B

    ?@ H.=BAE-?!! K.==?E-?!! >."=!E-?!! ? ? ? ? =.AKE-?!B

    ?@ H.=BAE-?!! K.==?E-?!! >."=!E-?!! ? ? ? ? =.AKE-?!B

    ?@ H.=BAE-?!! K.==?E-?!! >."=!E-?!! ? ? ? ? =.AKE-?!B

    ?@ ? ? ? ? ? ? ? ?

    #*RE# RE#URN 7.::='OR#;OG&O M*R&*NCE :.56=

    'OR#;OG&O 2#0 7.49=

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    D !? !! !A != !"

    ?@ ?@ ?@ ?@ ?@ ?@

    -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@

    := := := := := := !??@ H."K?@

    H.=BAE-?!! H.=BAE-?!! H.=BAE-?!! H.=BAE-?!! H.=BAE-?!! ?

    K.==?E-?!! K.==?E-?!! K.==?E-?!! K.==?E-?!! K.==?E-?!! ?>."=!E-?!! >."=!E-?!! >."=!E-?!! >."=!E-?!! >."=!E-?!! ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B ?

    =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B ?

    =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B ?

    =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B ?

    =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B ?

    =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B ?

    ? ? ? ? ? ?

    TTPORTF

    PORTFMEA)

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    0% 5% 10% 15% 20% 25%

    0%

    5%

    10%

    15%

    20%

    MEAN-VARIANCE SPACE

    FWD-LOOKING

    MEAN-VAR FRONTIER

    MKT PORTF (assuming APM!

    "ML (assuming APM!

    TARGET E#

    VOLATILITY

    E[r]

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    $0% &0% '0% 0% 100%

    0%

    10%

    20%

    )0%

    *0%

    50%

    $0%

    &0%

    '0%

    0%

    100%

    Asset Composition of the Efficient Frontier

    !"se# on E$hi!it %&-&" e$pect"tions'

    R+a, Esa+

    ./ns

    "/s

    T"r(et Ret)rn

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    #ISTORICA DATA A)D STATISTICS

    RET*R)S

    2'K?? 2mall2tks 6onds REs > H B

    ?.!AH ?.!>K ?.?DH ?.!=K ?.!?= L0&M?3 L0&M?3 L0&M?3

    %OATIIT+ ('er time increment o ,ata"

    ?.!HK ?.A=K ?.!!B ?.!DD ?.?DA L0&M?3 L0&M?3 L0&M?3

    CORREATIO) MATRI-

    2'K?? !.???? ?.>>?D ?.AHA! ?.">>? ?.!>KB LM*GUE3 LM*GUE3 LM*GUE3

    2mall2tks !.???? ?.?"?A ?.H>=B ?.A!?? LM*GUE3 LM*GUE3 LM*GUE3

    6onds !.???? ?.A?KA -?.A!?" LM*GUE3 LM*GUE3 LM*GUE3

    REs !.???? ?.ABD! LM*GUE3 LM*GUE3 LM*GUE3

    'ri Real Est !.???? LM*GUE3 LM*GUE3 LM*GUE3

    > LM*GUE3 LM*GUE3 LM*GUE3

    H LM*GUE3 LM*GUE3

    B LM*GUE3

    D

    !?

    !!

    !A

    !=

    !"

    #ISTORICA RET*R)S &2#A R2'&2#A RG& &2#A RRE

    *22E# 0*#E 2'K?? 2mall2tks 6onds REs > H B

    !DH? ".?!@ -!H."=@ !A.!!@ A?.KK@

    !DH! !".=!@ !>.K?@ !=.A=@ !>.?D@

    !DHA !B.DB@ "."=@ K.>D@ A."?@

    !DH= -!".>>@ -=?.D?@ -!.!!@ >.!B@

    !DH" -A>."H@ -!D.DK@ ".=K@ -"A.A=@ -"."K@!DHK =H.A?@ KA.BA@ D.A?@ =>.="@ K."=@

    !DH> A=.B"@ KH.=B@ !>.H>@ "B.DH@ AK.?>@

    !DHH -H.!B@ AK.=B@ -?.>B@ !D.?B@ !?.A>@

    !DHB >.K>@ A=.">@ -!.!B@ -!.>"@ A!.?!@

    !DHD !B.""@ "=.">@ -!.A=@ =?.K=@ A".=?@

    !DB? =A."A@ =D.BB@ -=.DK@ AB.?A@ !K.K>@

    !DB! -".D!@ !=.BB@ !.B>@ B.KB@ A?.D>@

    !DBA A!."!@ AB.?!@ "?.=>@ =!.>"@ -A."D@

    !DB= AA.K!@ =D.>H@ ?.>K@ AK."H@ !".!D@

    !DB" >.AH@ ->.>H@ !K."B@ !".BA@ !".="@

    !DBK =A.!>@ A".>>@ =?.DH@ K.DA@ B.!>@

    !DB> !B."H@ >.BK@ A".K=@ !D.!B@ !.D!@

    !DBH K.A=@ -D.=?@ -A.H!@ -!?.>H@ ".!B@

    !DBB !>.B!@ AA.BH@ D.>H@ !!.=>@ H.BB@

    !DBD =!."D@ !?.!B@ !B.!!@ -!.B!@ =.=!@

    !DD? -=.!H@ -A!.K>@ >.!B@ -!H.=K@ -K.HB@

    !DD! =?.KK@ "".>=@ !D.=?@ =K.>B@ -!?.>=@

    !DDA H.>H@ A=.=K@ B.?K@ !A.!B@ !.A=@

    !DD= D.DD@ A?.DB@ !B.A"@ !B.KK@ !A.=D@

    !DD" !.=!@ =.!!@ -H.HH@ ?.B!@ !H.?K@

    !DDK =H."=@ =".">@ =!.>H@ !B.=!@ !!."D@

    !DD> A=.?H@ !H.>A@ -?.D=@ =K.HK@ !>.!?@

    !DDH ==.=>@ AA.HB@ !K.BK@ !B.BH@ !D.H!@

    'ri RealEst

    'ri RealEst

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    !DDB AB.KB@ -H.=!@ !=.?>@ -!B.BA@ !D.!=@

    !DDD A!.?"@ AD.HD@ -B.D>@ ->."B@ K.!A@

    A??? -D.!!@ -=.KD@ A!."B@ AK.BB@ !=.=D@

    A??! -!!.BB@ AA.HH@ =.H?@ !K.K?@ ?.B=@

    A??A -AA.!?@ -!=.AB@ !H.B"@ K.AA@ >."H@

    A??= AB.H?@ >?.H?@ !."K@ =B."H@ !K.>B@

    A??" A=.=H@

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    D !? !! !A != !"

    L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3

    L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3 L0&M?3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3 LM*GUE3

    LM*GUE3 LM*GUE3

    LM*GUE3

    D !? !! !A != !"

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  • 7/23/2019 Chapter 21 Profit Optimizer Templates

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    Forar,/looin0 corrections

    RET*R)S CORRECTIO)S // a,,itive

    2'K?? 2mall2tks 6onds REs > H B

    -=@ -"@ -"@ -"@ -=@ -!??@ -!??@ -!??@

    %OATIIT+ CORRECTIO)S // a,,itive

    -A@ -"@ -"@ -K@ !@ !??@ !??@ !??@

    CORREATIO) MATRI- corrections

    2'K?? ->@ =@ -A@ B@ !??@ !??@ !??@

    2mall2tks -"@ ->@ "@ !??@ !??@ !??@

    6onds -!@ =>@ !??@ !??@ !??@

    REs !!@ !??@ !??@ !??@

    'ri Real Est !??@ !??@ !??@

    > !??@ !??@

    H !??@

    B

    D

    !?

    !!

    !A

    !=

    !"

    FI)A DATA & CAC*ATIO)S

    CORRECTED RET*R)S

    2'K?? 2mall2tks 6onds REs > H B

    !?.??@ !A.??@ >.??@ !?.??@ H.??@ -!??.??@ -!??.??@ -!??.??@

    CORRECTED %OATIITIES

    !K.??@ A?.??@ B.??@ !K.??@ !?.??@ !??.??@ !??.??@ !??.??@

    CORRECTED CORREATIO)S

    2'K?? !.???? ?.>??? ?.=??? ?."K?? ?.AK?? !.???? !.???? !.????

    2mall2tks ?.>??? !.???? - ?.H??? ?.AK?? !.???? !.???? !.????

    6onds ?.=??? - !.???? ?.A??? ?.!K?? !.???? !.???? !.????

    REs ?."K?? ?.H??? ?.A??? !.???? ?."??? !.???? !.???? !.????

    'ri Real Est ?.AK?? ?.AK?? ?.!K?? ?."??? !.???? !.???? !.???? !.????

    > !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    H !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    B !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    D !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????!? !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    !! !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    !A !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    != !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    !" !.???? !.???? !.???? !.???? !.???? !.???? !.???? !.????

    FI)A CO%ARIA)CE MATRI-

    2t0 ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !K.??@ ?.?A= ?.?!B ?.??" ?.?!? ?.??" ?.!K? ?.!K? ?.!K?

    'ri RealEst

    'ri RealEst

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    A?.??@ ?.?!B ?.?"? ?.??? ?.?A! ?.??K ?.A?? ?.A?? ?.A??

    B.??@ ?.??" ?.??? ?.??> ?.??A ?.??! ?.?B? ?.?B? ?.?B?

    !K.??@ ?.?!? ?.?A! ?.??A ?.?A= ?.??> ?.!K? ?.!K? ?.!K?

    !?.??@ ?.??" ?.??K ?.??! ?.??> ?.?!? ?.!?? ?.!?? ?.!??

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    !??.??@ ?.!K? ?.A?? ?.?B? ?.!K? ?.!?? !.??? !.??? !.???

    1 2 3 4 5 6 7 8

    1 !.?? ?.>? ?.=? ?."K ?.AK !.?? !.?? !.??

    2 - !.?? - ?.H? ?.AK !.?? !.?? !.??

    3 - - !.?? ?.A? ?.!K !.?? !.?? !.??

    4 - - - !.?? ?."? !.?? !.?? !.??

    5 - - - - !.?? !.?? !.?? !.??

    6 - - - - - - !.?? !.??

    7 - - - - - - - !.??

    8 - - - - - - - -

    9 - - - - - - - -

    1: - - - - - - - -

    11 - - - - - - - -

    12 - - - - - - - -

    13 - - - - - - - -

    14 - - - - - - - -

    1 2 3 4 5 6 7 8

    1 !.?? - - - - - - -

    2 ?.>? !.?? - - - - - -3 ?.=? - !.?? - - - - -

    4 ?."K ?.H? ?.A? !.?? - - - -

    5 ?.AK ?.AK ?.!K ?."? !.?? - - -

    6 !.?? !.?? !.?? !.?? !.?? - - -

    7 !.?? !.?? !.?? !.?? !.?? !.?? - -

    8 !.?? !.?? !.?? !.?? !.?? !.?? !.?? -

    9 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    1: !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    11 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    12 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    13 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

    14 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??

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    D !? !! !A != !"

    -!??@ -!??@ -!??@ -!??@ -!??@ -!??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@ !??@

    !??@ !??@ !??@ !??@

    !??@ !??@ !??@

    !??@ !??@

    !??@

    D !? !! !A != !"

    -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@

    !??.??@ !??.??@ !??.??@ !??.??@ !??.??@ !??.??@

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.???? !.???? !.???? !.???? !.???? !.????

    !.??? !.??? !.??? !.??? !.??? !.???

    ?.!K? ?.!K? ?.!K? ?.!K? ?.!K? ?.!K?

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    ?.A?? ?.A?? ?.A?? ?.A?? ?.A?? ?.A??

    ?.?B? ?.?B? ?.?B? ?.?B? ?.?B? ?.?B?

    ?.!K? ?.!K? ?.!K? ?.!K? ?.!K? ?.!K?

    ?.!?? ?.!?? ?.!?? ?.!?? ?.!?? ?.!??

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    !.??? !.??? !.??? !.??? !.??? !.???

    9 1: 11 12 13 14

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    !.?? !.?? !.?? !.?? !.?? !.??

    - !.?? !.?? !.?? !.?? !.??

    - - !.?? !.?? !.?? !.??

    - - - !.?? !.?? !.??

    - - - - !.?? !.??

    - - - - - !.??

    - - - - - -

    9 1: 11 12 13 14

    - - - - - -

    - - - - - -- - - - - -

    - - - - - -

    - - - - - -

    - - - - - -

    - - - - - -

    - - - - - -

    - - - - - -

    !.?? - - - - -

    !.?? !.?? - - - -

    !.?? !.?? !.?? - - -

    !.?? !.?? !.?? !.?? - -

    !.?? !.?? !.?? !.?? !.?? -

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    PORTFOIO OPTIMIZER (minimi;e variance"

    MEA)/%ARIA)CE A)A+SIS

    R < 3.::=

    StD S#ARPE 2'K?? 2mall2tks 6onds REs > H B

    >.H@ >.KK@ ?.K>B"= ?@ H@ >!@ ?@ =A@ ?@ ?@ ?@

    B.?@ H.BH@ ?.>"!?> !=@ !>@ =B@ B@ AK@ ?@ ?@ ?@

    D."@ !?.H=@ ?.KDAB" AB@ A!@ !=@ A!@ !H@ ?@ ?@ ?@

    !?.H@ !".=?@ ?.K=H!= =H@ ="@ ?@ AD@ ?@ ?@ ?@ ?@

    !A.?@ A?.??@ ?."K??? ?@ !??@ ?@ ?@ ?@ ?@ ?@ ?@

    CAC*ATIO)S

    *22E# EI' RE#URN2 !?.??@ !A.??@ >.??@ !?.??@ H.??@ -!??.??@ -!??.??@ -!??.??@

    >EI?#TED PAIR>ISE CO%ARIA)CE MATRI-

    'OR#;OG&O WE&4#2 37= 34= := 29= := := := :=

    =H@ ?.??=?D>B ?.??AAH"" ? ?.??!?B=" ? ? ? ?

    ="@ ?.??AAH"" ?.??">=DD ? ?.??A?>AD ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    AD@ ?.??!?B=" ?.??A?>AD ? ?.??!BH!H ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ??@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    #*RE# RE#URN 1:.68=

    'OR#;OG&O M*R&*NCE 2.:4=

    'OR#;OG&O 2#0 14.3:=

    E@r'ri Real

    Est

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    D !? !! !A != !"

    ?@ ?@ ?@ ?@ ?@ ?@

    ?@ ?@ ?@ ?@ ?@ ?@

    ?@ ?@ ?@ ?@ ?@ ?@

    ?@ ?@ ?@ ?@ ?@ ?@

    ?@ ?@ ?@ ?@ ?@ ?@

    -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@

    := := := := := := !??@ !?.>B!@

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?? ? ? ? ? ?

    ? ? ? ? ? ?

    ? ? ? ? ? ?

    TTPORTF

    PORTFMEA)

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    Portolio O'timi;er ith Risless Asset (Shar'e/MaBimm"

    MA- S#ARPE RATIO PORTFOIO

    R < 3= ?

    E@r < 7= &('G&E2 B=@ &N (J# 'OR# *N0 !H@ &N R&2JGE22 *22E#, W 2#0 >.A@

    Rm StD S#ARPE 2'K?? 2mall2tks 6onds REs > H B

    H.B@ H.KA@ ?.>"AHK !?@ !K@ "A@ >@ AH@ ?@ ?@ ?@

    2harpe ?."H ?."K ?.=B ?."H ?."?

    Wealth 2hares: D@ !=@ ="@ K@ AA@

    CAC*ATIO)S

    *22E# EI' RE#URN2 !?.??@ !A.??@ >.??@ !?.??@ H.??@ -!??.??@ -!??.??@ -!??.??@

    >EI?#TED PAIR>ISE CO%ARIA)CE MATRI-

    'OR#;OG&O WE&4#2 1:= 15= 42= 6= 27= := := :=

    !?@ ?.???A"H" ?.???ABK= ?.???!KH= >.=HBE-??K ?.???!?K ? ? A.B=E-?!!

    !K@ ?.???ABK= ?.???D!" ? ?.???!D?H ?.???A?!B ? ? K."KE-?!!

    "A@ ?.???!KH= ? ?.??!!!A! >.?!!E-??K ?.???!==> ? ? >.?!E-?!!

    >@ >.=HBE-??K ?.???!D?H >.?!!E-??K B.!AAE-??K D.>AHE-??K ? ? !.>AE-?!!

    AH@ ?.???!?K ?.???A?!B ?.???!==> D.>AHE-??K ?.???H!=A ? ? ".B!E-?!!

    ?@ ? ? ? ? ? ? ? ?

    ?@ ? ? ? ? ? ? ? ?

    ?@ A.B==E-?!! K."">E-?!! >.??HE-?!! !.>A=E-?!! ".B!!E-?!! ? ? =.AKE-?!B

    ?@ A.B==E-?!! K."">E-?!! >.??HE-?!! !.>A=E-?!! ".B!!E-?!! ? ? =.AKE-?!B

    ?@ A.B==E-?!! K."">E-?!! >.??HE-?!! !.>A=E-?!! ".B!!E-?!! ? ? =.AKE-?!B

    ?@ A.B==E-?!! K."">E-?!! >.??HE-?!! !.>A=E-?!! ".B!!E-?!! ? ? =.AKE-?!B

    ?@ A.B==E-?!! K."">E-?!! >.??HE-?!! !.>A=E-?!! ".B!!E-?!! ? ? =.AKE-?!B

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    D !? !! !A != !"

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    K."">E-?!! K."">E-?!! K."">E-?!! K."">E-?!! K."">E-?!! ?>.??HE-?!! >.??HE-?!! >.??HE-?!! >.??HE-?!! >.??HE-?!! ?

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    =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B =.A"KE-?!B ?

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