portfolio optimization under loss aversion

4
Scopus EXPORT DATE:06 Feb 2016 Fulga, C.a b Portol!o opt!"!#at!o$ u$%er loss a&ers!o$ '2016( Europea$ )our$al o Operat!o$al Researc*, 2+1 '1(, pp. 10-22. *ttp:///.scopus.co"!$/ar%recor%.urle!%2-s2.0- 34++156015part$er7D30"%+ae614033+%24%404321%513b3 DO7: 10.10168.e8or.201+.11.0 AFF797AT7OS: ;uc*arest <$!&ers!t= o Eco$o"!c Stu%!es, Depart"e$t o Appl!e% >at*e"at!cs, P!ata Ro"a$a 6, ;uc*arest, Ro"a$!a? @*eorg*e >!*oc-Ca!us 7acob 7$st. o >at*. Stat!st!cs a$% Appl!e% >at*e"at!cs o Ro"a$!a$ Aca%e"=, Calea 1 Septe"br!e o.1, Sector +, ;uc*arest, Ro"a$!a A;STRACT: e prese$t a$ !$tegrate% "et*o%olog!cal approac* or select!$g portol!os. T*e propose% "et*o%olog= !s ocuse% o$ !$corporat!o$ o !$&estorBs preere$ces !$ t*e >ea$-R!s ra"e/or. e propose a r!s "easure calculate% /!t* t*e %o/$s!%e part o t*e portol!o retur$ %!str!but!o$ /*!c*, /e argue, captures better t*e pract!cal be*a&!or o t*e loss-a&erse !$&estor. e establ!s* !ts propert!es, stu%= t*e l!$ /!t* stoc*ast!c %o"!$a$ce cr!ter!a, po!$t out t*e relat!o$s /!t* Co$%!t!o$al alue at R!s a$% 9o/er Part!al >o"e$t o !rst or%er, a$% g!&e t*e epl!c!t or"ula or t*e case o sce$ar!o-bas e% portol!o opt!"!#at!o$ . T*e propose% "et*o%olog= !$&ol&es t/o stages: !rstl=, t*e !$&est"e$t opportu$!t= set 'e!c!e$t ro$t!er( !s %eter"!$e%, a$% seco$%l=, o$e s!$gle preerre% e!c!e$t portol!o !s selecte%, $a"el= t*e o$e *a&!$g t*e *!g*est Epecte% <t!l!t= &alue. T*ree classes o ut!l!t= u$ct!o$s /!t* loss a&ers!o$ correspo$%!$g to t*ree t=pes o !$&estors are co$s!%ere%. T*e e"p!r!cal stu%= !s targete% o$ assess!$g t*e %!ere$ces bet/ee$ t*e e!c!e$t ro$t!er o t*e propose% "o%el a$% t*e class!cal >ea$- ar!a$ce, >ea$-CaR a$% >ea$-9P>1 ro$t!ers. e !rstl= a$al=#e t*e loss o /elare !$curre% b= us!$g a$ot*er "o%el !$stea% o t*e propose% o$e a$% "easure t*e correspo$%!$g ga!$loss o ut!l!t=. Seco$%l=, /e assess *o/ "uc* t*e portol!os reall= %!er !$ ter"s o t*e!r co"pos!t!o$s us!$g a %!ss!"!lar!t= !$%e base% o$ t*e 1-$or". e %escr!be a$% !$terpret t*e opt!"al solut!o$s obta!$e% a$% e"p*as!#e t*e role a$% !$lue$ce o loss a&ers!o$ para"eters &alues a$% o co$stra!$ts. T*ree t=pes o co$stra!$ts are stu%!e%: $o s*ort sell!$g allo/e%, a certa!$ %egree o %!&ers!!cat!o$ !"pose%, a$% s*ort sell!$g allo/e%. 201+ Else&!er ;. . All r!g*ts reser&e%. A<TGOR HEIORDS: 9oss a&ers!o$? >ea$-R!s "o%el? Portol!o opt!"!#at!o$? <t!l!t= u$ct!o$s 7DEX HEIORDS: Dec!s!o$ t*eor=? F!$a$c!al %ata process!$g? R!s percept!o$? Stoc*ast!c s=ste"s? alue e$g!$eer!$g, Co$%!t!o$al alue- at-R!s? 7$&est"e$t opportu$!t!es? 9oss a&ers!o$? 9o/er part!al "o"e$ts? >ea$-r!s "o%els? >et*o%olog!c al approac*? Portol!o opt!"!#at!o$? <t!l!t= u$ct!o$s, R!s assess"e$t REFERECES: Ab%ellaou!, >., ;le!c*ro%t, G., Parasc*!&, C., 9oss a&ers!o$ u$%er prospect t*eor=: A para"eter-ree "easure"e$t '2005( >a$age"e$t Sc!e$ce, + '10(, pp. 16+4-1653? Acerb!, C., Tasc*e, D., O$ t*e co*ere$ce o epecte% s*ortall '2002( )our$al o ;a$!$g F!$a$ce, 26, pp. 135-1+0? Art#$er, P., Delbae$, F., Eber, ).->., Geat*, D., Co*ere$t "easures o r!s '1444( >at*e"at!cal F!$a$ce, 4, pp. 20-225? Asbec, E., Ga!"es, I.I., T*e part!t!o$e% "ult!ob8ect!&e r!s "et*o% '143( 9arge Scale S=ste"s: T*eor= a$% Appl!cat!o$s, 6 '1(, pp. 1-? ;arber!s, ., Gua$g, >., Sa$tos, T., Prospect t*eor= a$% asset pr!ces '2001( Juarterl= )our$al o Eco$o"!cs, 116, pp. 1-+?

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Page 1: Portfolio Optimization Under Loss Aversion

7/25/2019 Portfolio Optimization Under Loss Aversion

http://slidepdf.com/reader/full/portfolio-optimization-under-loss-aversion 1/4

Scopus

EXPORT DATE:06 Feb 2016

Fulga, C.a b

Portol!o opt!"!#at!o$ u$%er loss a&ers!o$

'2016( Europea$ )our$al o Operat!o$al Researc*, 2+1 '1(, pp. 10-22.

*ttp:///.scopus.co"!$/ar%recor%.urle!%2-s2.0-34++156015part$er7D30"%+ae614033+%24%404321%513b3

DO7: 10.10168.e8or.201+.11.0

AFF797AT7OS: ;uc*arest <$!&ers!t= o Eco$o"!c Stu%!es, Depart"e$t o

Appl!e% >at*e"at!cs, P!ata Ro"a$a 6, ;uc*arest, Ro"a$!a?

@*eorg*e >!*oc-Ca!us 7acob 7$st. o >at*. Stat!st!cs a$% Appl!e%

>at*e"at!cs o Ro"a$!a$ Aca%e"=, Calea 1 Septe"br!e o.1, Sector +,

;uc*arest, Ro"a$!a

A;STRACT: e prese$t a$ !$tegrate% "et*o%olog!cal approac* or

select!$g portol!os. T*e propose% "et*o%olog= !s ocuse% o$

!$corporat!o$ o !$&estorBs preere$ces !$ t*e >ea$-R!s ra"e/or. e

propose a r!s "easure calculate% /!t* t*e %o/$s!%e part o t*e

portol!o retur$ %!str!but!o$ /*!c*, /e argue, captures better t*e

pract!cal be*a&!or o t*e loss-a&erse !$&estor. e establ!s* !ts

propert!es, stu%= t*e l!$ /!t* stoc*ast!c %o"!$a$ce cr!ter!a, po!$t

out t*e relat!o$s /!t* Co$%!t!o$al alue at R!s a$% 9o/er Part!al

>o"e$t o !rst or%er, a$% g!&e t*e epl!c!t or"ula or t*e case o

sce$ar!o-base% portol!o opt!"!#at!o$. T*e propose% "et*o%olog=

!$&ol&es t/o stages: !rstl=, t*e !$&est"e$t opportu$!t= set

'e!c!e$t ro$t!er( !s %eter"!$e%, a$% seco$%l=, o$e s!$gle preerre%

e!c!e$t portol!o !s selecte%, $a"el= t*e o$e *a&!$g t*e *!g*est

Epecte% <t!l!t= &alue. T*ree classes o ut!l!t= u$ct!o$s /!t* loss

a&ers!o$ correspo$%!$g to t*ree t=pes o !$&estors are co$s!%ere%. T*e

e"p!r!cal stu%= !s targete% o$ assess!$g t*e %!ere$ces bet/ee$ t*e

e!c!e$t ro$t!er o t*e propose% "o%el a$% t*e class!cal >ea$-

ar!a$ce, >ea$-CaR a$% >ea$-9P>1 ro$t!ers. e !rstl= a$al=#e t*e

loss o /elare !$curre% b= us!$g a$ot*er "o%el !$stea% o t*e

propose% o$e a$% "easure t*e correspo$%!$g ga!$loss o ut!l!t=.

Seco$%l=, /e assess *o/ "uc* t*e portol!os reall= %!er !$ ter"s o

t*e!r co"pos!t!o$s us!$g a %!ss!"!lar!t= !$%e base% o$ t*e 1-$or". e

%escr!be a$% !$terpret t*e opt!"al solut!o$s obta!$e% a$% e"p*as!#e

t*e role a$% !$lue$ce o loss a&ers!o$ para"eters &alues a$% o

co$stra!$ts. T*ree t=pes o co$stra!$ts are stu%!e%: $o s*ort sell!$g

allo/e%, a certa!$ %egree o %!&ers!!cat!o$ !"pose%, a$% s*ort

sell!$g allo/e%. 201+ Else&!er ;. . All r!g*ts reser&e%.

A<TGOR HEIORDS: 9oss a&ers!o$? >ea$-R!s "o%el? Portol!o

opt!"!#at!o$? <t!l!t= u$ct!o$s

7DEX HEIORDS: Dec!s!o$ t*eor=? F!$a$c!al %ata process!$g? R!s

percept!o$? Stoc*ast!c s=ste"s? alue e$g!$eer!$g, Co$%!t!o$al alue-

at-R!s? 7$&est"e$t opportu$!t!es? 9oss a&ers!o$? 9o/er part!al

"o"e$ts? >ea$-r!s "o%els? >et*o%olog!cal approac*? Portol!o

opt!"!#at!o$? <t!l!t= u$ct!o$s, R!s assess"e$t

REFERECES: Ab%ellaou!, >., ;le!c*ro%t, G., Parasc*!&, C., 9oss

a&ers!o$ u$%er prospect t*eor=: A para"eter-ree "easure"e$t '2005(

>a$age"e$t Sc!e$ce, + '10(, pp. 16+4-1653?

Acerb!, C., Tasc*e, D., O$ t*e co*ere$ce o epecte% s*ortall '2002(

)our$al o ;a$!$g F!$a$ce, 26, pp. 135-1+0?

Art#$er, P., Delbae$, F., Eber, ).->., Geat*, D., Co*ere$t "easures o

r!s '1444( >at*e"at!cal F!$a$ce, 4, pp. 20-225?

Asbec, E., Ga!"es, I.I., T*e part!t!o$e% "ult!ob8ect!&e r!s "et*o%

'143( 9arge Scale S=ste"s: T*eor= a$% Appl!cat!o$s, 6 '1(, pp. 1-?

;arber!s, ., Gua$g, >., Sa$tos, T., Prospect t*eor= a$% asset pr!ces

'2001( Juarterl= )our$al o Eco$o"!cs, 116, pp. 1-+?

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;a/a, .S., Opt!"al rules or or%er!$g u$certa!$ prospects '145+(

)our$al o F!$a$c!al Eco$o"!cs, 2 '1(, pp. 4+-121?

;a/a, .S., 9!$%e$berg, E.;., Cap!tal "aret eKu!l!br!u" !$ a "ea$-

lo/er part!al "o"e$t ra"e/or '1455( )our$al o F!$a$c!al Eco$o"!cs,

+, pp. 14-200?

;e$art#!, S., T*aler, R., >=op!c loss a&ers!o$ a$% t*e eKu!t= pre"!u"

pu##le '144+( Juarterl= )our$al o Eco$o"!cs, 110 '1(, pp. 5-42?;erelaar, A.;., Hou/e$berg, R., Post, T., Opt!"al portol!o c*o!ce

u$%er loss a&ers!o$ '2003( Re&!e/ o Eco$o"!cs a$% Stat!st!cs, 6 '3(,

pp. 45-45?

;est, >.)., @rauer, R.R., Glouso&a, )., L*a$g, X., 9oss-a&ers!o$ /!t*

!$e% l!$ear ut!l!t= u$ct!o$s '2013( Co"putat!o$alEco$o"!cs, 33 '1(,

pp. 3+-6+?

;orgo$o&o, E., @att!, S., R!s a$al=s!s /!t* co$tractual %eault. Does

co&e$a$t breac* "atter '201( Europea$ )our$al o Operat!o$al

Researc*, 20 '2(, pp. 31-33?

Ca"erer, C.F., Prospect t*eor= !$ t*e /!l%: E&!%e$ce ro" t*e !el%

'2001( C*o!ces, alues, a$% Fra"es. Co$te"porar= Ps=c*olog=, o. 35,

pp. 2-00., A"er!ca$ Ps=c*olog!cal Assoc!at!o$ as*!$gto$, DC?

Cre"ers, ).G., Hr!t#"a$, >., Page, S., Opt!"al *e%ge u$% allocat!o$s

'200+( T*e )our$al o Portol!o >a$age"e$t, 1, pp. 50-1?

De @!org!, E., Ge$s, T., >a!$g prospect t*eor= !t or !$a$ce '2006(

F!$a$c!al >arets a$% Portol!o >a$age"e$t, 20, pp. 4-60?

De @!org!, E., Ge$s, T., Prospect t*eor= a$% "ea$-&ar!a$ce a$al=s!s:

Does !t "ae a %!ere$ce !$ /ealt* "a$age"e$t '2004( 7$&est"e$t

>a$age"e$t a$% F!$a$c!al 7$$o&at!o$s, 6, pp. 122-124?

De$tc*e&a, D., Rus#c#=$s!, A., Portol!o opt!"!#at!o$ /!t* stoc*ast!c

%o"!$a$ce co$stra!$ts '2006( )our$al o ;a$!$g F!$a$ce, 0, pp.

3-3+1?

Do/%, H., '144( ;e=o$% alue at R!s, , !le= e/ Ior?

FMb!M$, C.7., >!tra, @., Ro"a$, D., Process!$g seco$%-or%er stoc*ast!c

%o"!$a$ce "o%els us!$g cutt!$g-pla$e represe$tat!o$s '2011(

>at*e"at!cal Progra""!$g, 10 '1(, pp. -+5?

F!s*bur$, P.C., >ea$-r!s a$al=s!s /!t* r!s assoc!ate% /!t* belo/-

target retur$s '1455( A"er!ca$ Eco$o"!c Re&!e/, 65 '2(, pp. 116-126?

Fort!$, 7., Glouso&a, )., Opt!"al asset allocat!o$ u$%er l!$ear loss

a&ers!o$ '2011( )our$al o ;a$!$g F!$a$ce, + '11(, pp. 2453-2440?

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!$&estors '200+( )our$al o ;us!$ess, 5, pp. 65+-506?

@root&el%, G., Gallerbac*, ., ar!a$ce &s %o/$s!%e r!s: 7s t*ere

reall= t*at "uc* %!ere$ce '1444( Europea$ )our$al o Operat!o$al

Researc*, 113 '2(, pp. 03-14?

Ga!"es, I.I., Sa$tos, ).R., '2004( R!s >o%el!$g, Assess"e$t, a$%

>a$age"e$t, , r% e%. )o*$ !le= So$s?

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part!al "o"e$t ra"e/or: T*eor= a$% e&!%e$ce '144( )our$al o

F!$a$c!al a$% Jua$t!tat!&e A$al=s!s, 23 '(, pp. 2+-11?

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a$al=s!s. A r!gorous co"par!so$ '2013( S/!ss F!$a$ce 7$st!tute

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20 '(, pp. 31-334?

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r!s "et*o% 'P>R>( to portol!o select!o$ '2003( R!s A$al=s!s, 23

'(, pp. 645-51?

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Stoc*ast!c Do"!$a$ce a$% Appl!cat!o$s to F!$a$ce, R!s a$%

Eco$o"!cs, , C*ap"a$ GallCRC, Ta=lor Fra$c!s @roup, 6000 ;roe$

Sou$% Par?

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a %escr!pt!&e t*eor= o c*o!ce u$%er r!s '2000( )our$al o Eco$o"!c

9!terature, 2, pp. 2-2?

Sto=a$o&, S., Rac*e&a-7oto&a, ;., Rac*e&, S., Fabo##!, F., Stoc*ast!c

"o%els or r!s est!"at!o$ !$ &olat!le "arets: A sur&e= '2010( A$$als

o Operat!o$s Researc*, 156 '1(, pp. 24-04?

T&ers=, A., Ha*$e"a$, D., A%&a$ces !$ prospect t*eor=: Cu"ulat!&e

represe$tat!o$ o u$certa!$t= '1442( )our$al o R!s a$% <$certa!$t=,

+, pp. 245-2?

o$ eu"a$$, )., >orge$ster$, O., Pr!$ceto$, .)., '1435( T*eor= o

@a"es a$% Eco$o"!c ;e*a&!our, , Pr!$ceto$ <$!&ers!t= Press?

Laa"oul!$e, ., Hoeebaer, S., A ge$eral!sat!o$ o t*e "ea$-

&ar!a$ce a$al=s!s '2004( Europea$ F!$a$c!al >a$age"e$t, 1+ '+(, pp.

43-450

CORRESPODECE ADDRESS: Fulga, C.? ;uc*arest <$!&ers!t= o Eco$o"!c

Stu%!es, Depart"e$t o Appl!e% >at*e"at!cs, P!ata Ro"a$a 6, Ro"a$!a?

e"a!l: ulgaNcs!e.ase.ro

P<;97SGER: Else&!er

7SS: 0552215

CODE: E)ORD

9A@<A@E OF OR7@7A9 DOC<>ET: E$gl!s*

A;;RE7ATED SO<RCE T7T9E: Eur ) Oper ResDOC<>ET TIPE: Art!cle

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SO<RCE: Scopus