chapter 21 profit optimizer templates
TRANSCRIPT
-
7/23/2019 Chapter 21 Profit Optimizer Templates
1/34
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
-
7/23/2019 Chapter 21 Profit Optimizer Templates
2/34
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
-
7/23/2019 Chapter 21 Profit Optimizer Templates
3/34
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
-
7/23/2019 Chapter 21 Profit Optimizer Templates
4/34
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.
-
7/23/2019 Chapter 21 Profit Optimizer Templates
5/34
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.
-
7/23/2019 Chapter 21 Profit Optimizer Templates
6/34
he Correctio
-
7/23/2019 Chapter 21 Profit Optimizer Templates
7/34
#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!@
-
7/23/2019 Chapter 21 Profit Optimizer Templates
8/34
!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@
-
7/23/2019 Chapter 21 Profit Optimizer Templates
9/34
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 != !"
-
7/23/2019 Chapter 21 Profit Optimizer Templates
10/34
-
7/23/2019 Chapter 21 Profit Optimizer Templates
11/34
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?
-
7/23/2019 Chapter 21 Profit Optimizer Templates
12/34
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 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??
-
7/23/2019 Chapter 21 Profit Optimizer Templates
13/34
D !? !! !A != !"
-!??@ -!??@ -!??@ -!??@ -!??@ -!??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@
!??@ !??@ !??@
!??@ !??@
!??@
D !? !! !A != !"
-!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@
!??.??@ !??.??@ !??.??@ !??.??@ !??.??@ !??.??@
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.??? !.??? !.??? !.??? !.??? !.???
?.!K? ?.!K? ?.!K? ?.!K? ?.!K? ?.!K?
-
7/23/2019 Chapter 21 Profit Optimizer Templates
14/34
?.?B? ?.?B? ?.?B? ?.?B? ?.?B? ?.?B?
?.!?? ?.!?? ?.!?? ?.!?? ?.!?? ?.!??
?.??? ?.??? ?.??? ?.??? ?.??? ?.???
?.??? ?.??? ?.??? ?.??? ?.??? ?.???
!.??? !.??? !.??? !.??? !.??? !.???
!.??? !.??? !.??? !.??? !.??? !.???
!.??? !.??? !.??? !.??? !.??? !.???
!.??? !.??? !.??? !.??? !.??? !.???
!.??? !.??? !.??? !.??? !.??? !.???
!.??? !.??? !.??? !.??? !.??? !.???
!.??? !.??? !.??? !.??? !.??? !.???
!.??? !.??? !.??? !.??? !.??? !.???
!.??? !.??? !.??? !.??? !.??? !.???
9 1: 11 12 13 14
!.?? !.?? !.?? !.?? !.?? !.??
!.?? !.?? !.?? !.?? !.?? !.??
!.?? !.?? !.?? !.?? !.?? !.??
!.?? !.?? !.?? !.?? !.?? !.??
!.?? !.?? !.?? !.?? !.?? !.??
!.?? !.?? !.?? !.?? !.?? !.??
!.?? !.?? !.?? !.?? !.?? !.??
!.?? !.?? !.?? !.?? !.?? !.??
- !.?? !.?? !.?? !.?? !.??
- - !.?? !.?? !.?? !.??
- - - !.?? !.?? !.??
- - - - !.?? !.??
- - - - - !.??
- - - - - -
9 1: 11 12 13 14
- - - - - -
- - - - - -- - - - - -
- - - - - -
- - - - - -
- - - - - -
- - - - - -
- - - - - -
- - - - - -
!.?? - - - - -
!.?? !.?? - - - -
!.?? !.?? !.?? - - -
!.?? !.?? !.?? !.?? - -
!.?? !.?? !.?? !.?? !.?? -
-
7/23/2019 Chapter 21 Profit Optimizer Templates
15/34
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
-
7/23/2019 Chapter 21 Profit Optimizer Templates
16/34
D !? !! !A != !"
?@ ?@ ?@ ?@ ?@ ?@
?@ ?@ ?@ ?@ ?@ ?@
?@ ?@ ?@ ?@ ?@ ?@
?@ ?@ ?@ ?@ ?@ ?@
?@ ?@ ?@ ?@ ?@ ?@
-!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@
:= := := := := := !??@ >.???@
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
TTPORTF
PORTFMEA)
-
7/23/2019 Chapter 21 Profit Optimizer Templates
17/34
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=
-
7/23/2019 Chapter 21 Profit Optimizer Templates
18/34
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)
-
7/23/2019 Chapter 21 Profit Optimizer Templates
19/34
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]
-
7/23/2019 Chapter 21 Profit Optimizer Templates
20/34
$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
-
7/23/2019 Chapter 21 Profit Optimizer Templates
21/34
#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
-
7/23/2019 Chapter 21 Profit Optimizer Templates
22/34
!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@
-
7/23/2019 Chapter 21 Profit Optimizer Templates
23/34
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 != !"
-
7/23/2019 Chapter 21 Profit Optimizer Templates
24/34
-
7/23/2019 Chapter 21 Profit Optimizer Templates
25/34
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
-
7/23/2019 Chapter 21 Profit Optimizer Templates
26/34
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 !.?? !.?? !.?? !.?? !.?? !.?? !.?? !.??
-
7/23/2019 Chapter 21 Profit Optimizer Templates
27/34
D !? !! !A != !"
-!??@ -!??@ -!??@ -!??@ -!??@ -!??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@ !??@
!??@ !??@ !??@ !??@
!??@ !??@ !??@
!??@ !??@
!??@
D !? !! !A != !"
-!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@
!??.??@ !??.??@ !??.??@ !??.??@ !??.??@ !??.??@
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.???? !.???? !.???? !.???? !.???? !.????
!.??? !.??? !.??? !.??? !.??? !.???
?.!K? ?.!K? ?.!K? ?.!K? ?.!K? ?.!K?
-
7/23/2019 Chapter 21 Profit Optimizer Templates
28/34
?.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
- - - - - -
- - - - - -- - - - - -
- - - - - -
- - - - - -
- - - - - -
- - - - - -
- - - - - -
- - - - - -
!.?? - - - - -
!.?? !.?? - - - -
!.?? !.?? !.?? - - -
!.?? !.?? !.?? !.?? - -
!.?? !.?? !.?? !.?? !.?? -
-
7/23/2019 Chapter 21 Profit Optimizer Templates
29/34
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
-
7/23/2019 Chapter 21 Profit Optimizer Templates
30/34
D !? !! !A != !"
?@ ?@ ?@ ?@ ?@ ?@
?@ ?@ ?@ ?@ ?@ ?@
?@ ?@ ?@ ?@ ?@ ?@
?@ ?@ ?@ ?@ ?@ ?@
?@ ?@ ?@ ?@ ?@ ?@
-!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@
:= := := := := := !??@ !?.>B!@
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
TTPORTF
PORTFMEA)
-
7/23/2019 Chapter 21 Profit Optimizer Templates
31/34
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
?@ A.B==E-?!! K."">E-?!! >.??HE-?!! !.>A=E-?!! ".B!!E-?!! ? ? =.AKE-?!B
?@ ? ? ? ? ? ? ? ?
#*RE# RE#URN 7.::='OR#;OG&O M*R&*NCE :.57=
'OR#;OG&O 2#0 7.52=
'ri RealEst
-
7/23/2019 Chapter 21 Profit Optimizer Templates
32/34
D !? !! !A != !"
?@ ?@ ?@ ?@ ?@ ?@ !??@
-!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@ -!??.??@
:= := := := := := !??@ H.B="@
A.B==E-?!! A.B==E-?!! A.B==E-?!! A.B==E-?!! A.B==E-?!! ?
K."">E-?!! K."">E-?!! K."">E-?!! K."">E-?!! K."">E-?!! ?>.??HE-?!! >.??HE-?!! >.??HE-?!! >.??HE-?!! >.??HE-?!! ?
!.>A=E-?!! !.>A=E-?!! !.>A=E-?!! !.>A=E-?!! !.>A=E-?!! ?
".B!!E-?!! ".B!!E-?!! ".B!!E-?!! ".B!!E-?!! ".B!!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)
-
7/23/2019 Chapter 21 Profit Optimizer Templates
33/34
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]
-
7/23/2019 Chapter 21 Profit Optimizer Templates
34/34
$&% '0% *% 10&% 120%
0%
10%
20%
)0%
*0%
50%
$0%
&0%
'0%
0%
100%
Portfo*io Composition
1*
1)
12
11
10
'
&
$
P#i3 R+a, Es
REITs
./ns
"ma,,"s
"P500
T"r(et Ret)rn