Upload
siska18
View
216
Download
0
Embed Size (px)
Citation preview
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
1/64
Struktur Modal dan Leverage
Oleh : Anwar Azazi - FE Untan
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
2/64
2
Modigliani dan Miller (MM)
Teori dasar: Franco Modigliani dan MertonH. Miller (MM) tahun 1958 dan 1963
Sudah lama seali ! ta"i menga"a ita
masih mem"ela#ari teori merea$ Se%elume MM& tida ada cara untu
menganalisis hutang se%agai sum%er"em%ia'aan "erusahaan
Merealah 'ang "ertama ali mem"ela#ari
hu%ungan strutur modal dan ** Teori strutur modal& **& dan nilai"erusahaan mem%a+a merea men#adi"emenang hadiah ,o%el "ada tahun 199-
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
3/64
3
endahuluan
Strutur Modal menun#uan %auran hutangdan euitas "erusahaan Saham "re/eren diangga" se%agai %agian dari
hutang "erusahaan Financial le0erage men'ataan "enggunaan
uang 'ang di"in#am (hutang) untumeningatan e/eti0itas euitas 'ang
diin0estasian Financial le0erage se%esar 1- artin'astrutur modal "erusahaan terdiri atas 1-hutang dan 9- euitas (modal sendiri)
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
4/64
2suisu "enting :
"aah "enggunaan hutang da"atmeningatan nilai euitas "erusahaan$ 4aitu : harga saham "erusahaan
alam ondisi a"a "eru%ahan le0eragemeningatan harga saham$ Strutur modal o"timal memasimuman harga
saham
Hu%ungan antara strutur modal dan hargasaham tida selalu te"at (searah) danarenan'a tida se"enuhn'a di"ahami
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
5/64
!
isio dalam onte 7e0erage 1
7e0erage mem"engaruhi harga saham Mengu%ah hu%ungan risreturn dalam in0estasi euitas
(saham)
Menguur iner#a "erating income (: ; 2n0estor mengangga" ;S se%agai suatu indiator "enting dari"ro/ita%ilitas "erusahaan
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
6/64
"
esio dalam onte 7e0erage A
edi/inisi resio untu isuisu 'ang%eraitan dengan 7e0erage
isio 'ang %eraitan dengan le0erageadalah 0ariasi ; dan ;S
>
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
7/64#
Cam%ar 1 :
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
8/64$
7e0erage dan esio
Menghu%ungan strutur %ia'a"erusahaan
4aitu "enggunaan /i=ed cost dan 0aria%lecosts
7e0erage o"erasi ("erating le0erage)
%er"engaruh terhada" resio %isnis"erusahaan
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
9/64%
Financial 7e0erage
alam ondisi tertentu& /inancial le0erageda"at mem"er%aii ; dan ;S
"erusahaan an teta"i& "ada ondisi 'ang lain ia
%ahan %isa mem"er%uru ;S dan ;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
10/64&'
Ta%le 13.1
etia de%t ratio
"erusahaanmeningat& ;S
dan ;meningat secaradrastis. etia ;T
turun& #umlah
saham %eredarturun "ada tingat'ang le%ih ce"at
%ila hutangmenggantian
euitas.
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
11/64
&&
Financial 7e0erage
eturn on *a"ital ;m"lo'ed (*;) Measures the "ro/ita%ilit' o/ o"erations %e/ore /inancing
charges %ut a/ter ta=es on a %asis com"ara%le to ;
( );
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
12/64
&2
Ta%le 13.A
ondisi"erusahaan
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
13/64
&3
Financial 7e0erageB;=am"le
: ingasan in/ormasi euangan T. l%an' *or"oration adalah se%agai %eriut :
* o n t o h
Harga "er saham D G1-; D ;T ÷ e?uit' D G13&5-- ÷ G9-&--- D 15
;S D ;T ÷ #umlah saham D G13&5-- ÷ 9&---&--- D G1.5-
G13&5--;T
9&---&---,um%er o/ sharesD9&---Ta= (I-)
G1--&---*a"italGAA&5--;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
14/64
&
Financial 7e0erageB;=am"le
: ;S aan meningat #ia *; le%ih %esar dari a/terta= cost o/ de%t. *; saat iniadalah :
* o n t o h
( )A3.JM 1 -.I-*; D 1I.A
G1--.-M =
a/terta= cost o/ de%t adalah 1A = (1 ! -.I)& or J.A. arena J.A K 1I.A&maa "erdagangan saham selain hutang aan meningatan ;S.
Se%agai misal& anda da"at menentuan %ah+a hutang GI5 #uta adalah #umlahhutang 'ang mem%uat ;S sama dengan GA.--.
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
15/64
&!
Financial 7e0erage danFinancial is
Financial le0erage %agai se%ilah "isau %ermatadua
Multi"lies good results into great results Multi"les %ad results into terri%le results
; da ;S untu le0eraged /irms mengalami/lutuasi le%ih %esar
Financial ris adalah meningatn'a 0aria%ilitashasil euangan arena tam%ahan le0erage
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
16/64
&"
engaruh le0erage terhada"
harga saham 7e0erage meningatan iner#a sementara ia
meningatan resio& ai%atn'a mendorong
harga saham dengan arah 'ang %erla+anan Meningatn'a iner#a mem%uat e="ected return onstoc le%ih tinggi& meningatan harga saham
Meningatn'a resio mendorong "enurunan harga
saham> engaruh mana 'ang le%ih mendominasi& a"an$
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
17/64
erilau eal 2n0estor danStrutur Modal "timal
etia le0erage rendah& "eningatan hutangmem"un'ai e/e "ositi/ terhada" in0estor
Tingat hutang 'ang tinggi "erhatian "adamasalah resio meningat dan meningatanle%ih %an'a hutang menurunan harga saham
etia le0erage meningat& "engeruhn'a
%ergesar dari "ositi/ e negati/& danmenghasilan strutur modal o"timal
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
18/64
&$
Cam%ar A : engaruh7e0erage "ada Harga Saham
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
19/64
&%
Menemuan strutur modalo"timum ! suatu masalah "ratis
Tida ada cara untu menentuan #umlah le0erageo"timum 'ang te"at untu suatu "erusahaan tertentu"ada +atu tertentu.
Tingaat le0erage 'ang te"at cenderung %er%eda sesuaidengan :> Sihat %isnis suatu "erusahaan
> Lia "erusahaan mem"un'ai resio %snis 'ang tinggi& seharusn'a iamengurangi "enggunaan le0erage
> 2lim eonomi
> Lia ondisi eonomi %uru& in0estor %arangali men#adi le%ih sensiti/terhada" resio
arena masalah "ratis terse%ut& maa strutur modalo"timum tida da"at ditentuan secara te"at
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
20/64
2'
Target *a"ital Structure
Strutur modal 'ang ditargetan (targetca"ital structure) se%uah "erusahaan
adalah estimasi mana#emen tentangstrutur modal o"timal Suatu "endeatan atau tasiran ter%ai
mengenai #umlah hutang 'ang aanmemasimuman harga saham "erusahaan
engar h le erage %ila saham tida
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
21/64
2&
engaruh le0erage %ila saham tidadi"erdagangan %erdasaran nilai %uu
(
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
22/64
22
enguuran egree o/ Financial7e0erage (F7
Financial le0erage meningatan "eru%ahan;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
23/64
23
*ontoh "enguuran egree o/Financial 7e0erage (F7) 1
: ingasan in/ormasi eunagan dan modal T. MM Manu/acturing *om"an' adalah (G---):
* o n t o h
ada saat ini terda"at J--.--- saham 'ang sedang %eredar. Tingat %unga atas hutang"erusahaan se%esar 15& dan "erusahaan mem"eriraan da"at memin#am %era"a"undengan suu %unga 'ang sama. Tingat "a#a "erusahaan I-
T. MM %ereinginan meningatan harga sahamn'a. Nntu itu& mana#emen sedang
mem"ertim%angan restruturisasi modal dengan hutang dengan "ro"orsi 5- denganhara"an "eningatan ;S aan mem"un'ai "engaruh "ositi/ terhada" harga. anteta"i& ondisi eonomid di masa 'ang aan datang tida %egitu %ai& "im"inan"erusahaan %er"iir %ah+a mem%urun'a ondisi %isnis "adai tahun 'ang aan datangaan mengurangi ;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
24/64
2
*ontoh enguuran egree o/Financial 7e0erage (F7)A
: arena saham di"erdagangan "ada nilai %uu& maa contoh soal ini relati/ sederhana.
* o n t o h
I--&---J--&---Shares outstanding
iusulanSaat ini
G8&---G8&---Total
I&---J&--- ;?uit'
GI&---G1&--- e%t
*a"ital
&'G1.-5I;S
GI68GJ38;T
iusulanSaat ini
31AI9ATa= (I-)
GJ8-G1&A3-;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
25/64
2!
*ontoh enguuran egree o/Financial 7e0erage (F7)3
:
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
26/64
2"
nalisis ;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
27/64
2#
Cam%ar 13.3: nal'sis ;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
28/64
2$
7e0erage "erasi ("erating7e0erage)
Terminologi dane/inisi isio "erasiBisio ariasi ; Lumlah /i=ed costs dalam strutur %ia'a
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
29/64
2%
nalisis
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
30/64
3'
nalisis
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
31/64
3&
Cam%ar 13.5: iagram
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
32/64
32
nalisis
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
33/64
33
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
34/64
3
S
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
35/64
3!
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
36/64
3"
e% 7ins
**H@s
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
37/64
3#
The ;//ect o/ "erating7e0erage
etia 0olume %ergera men#auhi %reae0en& maa "ro/it atauloss meningat le%ih ce"at %ila o"erating le0erage le%ih %esar
engaruhn'a "ada resio o"erating le0erage 'ang le%ih %esar mengerah e"ada 0ariasi ;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
38/64
3$
am ar . : agram rea e0en"ada ondisi "erating 7e0erage
tinggi dan rendah
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
39/64
3%
engaruh "erating 7e0erageB*ontoh
: Misaln'a "erusahaan mem"un'ai /i=ed costs se%esar G1&--- "er "eriode&men#ual "rodun'a dengan harga G1- "er unit& dan 0aria%le costs "er unitadalah G8. Misalnan lagi& "erusahaan < hmem"un'ai /i=ed costs se%esarG1&5-- dan men#ual "rodun'a dengan harga 'ang sama dengan "rodu"erusahaan & 'aitu G1- "er unit. edua "erusahaan %erada "ada
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
40/64
'
The egree o/ "erating 7e0erage(7)B Measurement
"erating le0erage am"li/ies changes insales 0olume into larger changes in ;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
41/64
&
The egree o/ "erating 7e0erage(7)B Measurement
: The l%ergetti *or". sells its "roduct at an a0erage "rice o/ G1-. aria%le costsare GJ "er unit and /i=ed costs are G6-- "er month. ;0aluate the degree o/o"erating le0erage +hen sales are 5 and then 5- a%o0e the %reae0en le0el.
: First& com"ute the %reae0en 0olume: G6-- ÷ (G1- GJ) D A-- units.
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
42/64
2
*om"aring "erating andFinancial 7e0erage
Financial and o"erating le0erage are similar in that %oth canenhance results +hile increasing 0ariation
Financial le0erage in0ol0es su%stituting de%t /or e?uit' in the /irm@sca"ital structure
"erating le0erage in0ol0es su%stituting /i=ed costs /or 0aria%lecosts in the /irm@s cost structure
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
43/64
3
The *om"ounding ;//ect o/"erating and Financial 7e0erage
The e//ects o/ /inancial and o"erating le0eragecom"ound one another
*hanges in sales are am"li/ied %' o"erating le0erage
into larger relati0e changes in ;
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
44/64
Figure 13.9: The *om"ounding ;//ect o/"erating 7e0erage and Financial
7e0erage
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
45/64
!
The *om"ounding ;//ect o/ "eratingand Financial 7e0erageB;=am"le
: The lleghen' *om"an' is considering re"lacing a manual "roduction "rocess+ith a machine. The mone' to %u' the machine +ill %e %orro+ed. There"lacement o/ "eo"le +ith a machine +ill alter the /irm@s cost structure in /a0oro/ /i=ed costs& +hile the loan +ill mo0e the ca"ital structure in the direction o/more de%t. The /irm@s le0erage "ositions at e="ected out"ut le0els +ith and+ithout the "ro#ect are summariQed as /ollo+s:
The economic outloo is uncertain and some managers /ear a decline in sales o/as much as 1- in the coming 'ear. ;0aluate the e//ect o/ the "ro"osed "ro#ect
on ris in /inancial "er/ormance.
: The /irm@s current T7 is A = 1.5& or 3& meaning a 1- decline in sales couldresult in a 3- decline in ;S. Nnder the "ro"osal& the T7 +ill %e muchhigher: 8.J5& or 3.5 = A.5& meaning a 1- dro" in sales could lead to a 8J.5dro" in ;S.
; = a m " l e
A.53.5ro"osed
1.5A.-*urrent
F77
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
46/64
"
*a"ital Structure Theor'
oes ca"ital structure a//ect stoc "riceand the maret 0alue o/ the /irm$
2/ so& is there an o"timal structure thatma=imiQes either or %oth$
esults indicate that ca"ital structure
does im"act stoc "rices %ut there@s no+a' to determine the o"timal structure+ith an' "recision
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
47/64
#
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
48/64
$
The /irm@s maret 0alue is the sum o/ their "resent 0alues
/
d e
/
a
annual interest "aid to %ondholders total annual di0idend "aid to stocholders D
+hich is e?ui0alent to sa'ing
"erating 2ncome D
+
eturns dri0e 0aluein an in0erse
relationshi".
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
49/64
%
Figure 13.1-: ariation in alue and 0erage eturn +ith *a"ital Structure
The 0alue o/ the /irmand the /irm@s stoc
"rice reach ama=imum +hen the
a0erage cost o/ ca"italis minimiQed.
Th ; l Th % M di li i
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
50/64
!'
The ;arl' Theor' %' Modiglianiand Miller (MM)
estricti0e ssum"tions in the riginalModel
2n 1958 MM "u%lished their /irst "a"er onca"ital structure> 2ncluded numerous restrictions such as
> ,o income ta=es
> Securities trade in "er/ectl' e//icient ca"ital marets +ith
no transaction costs> ,o costs to %anru"tc'
> 2n0estors and com"anies can %orro+ as much as the'+ant at the same rate
Th ; l Th % M di li i
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
51/64
!&
The ;arl' Theor' %' Modiglianiand Miller (MM)
The ssum"tions and ealit' ealisticall' income ta=es e=ist
ealisticall' the costs o/ %anru"tc' are?uite large
ealisticall' indi0iduals cannot %orro+ at thesame rate as com"anies and interest ratesusuall' rise as more mone' is %orro+ed
Th ; l Th % M di li i
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
52/64
!2
The ;arl' Theor' %' Modiglianiand Miller (MM)
The esult Nnder MM@s initial set o/ restrictions& 0alue is
inde"endent o/ ca"ital structure s chea"er de%t is added the cost o/ e?uit'
increases %ecause o/ increased ris> Ho+e0er the +eight o/ the more e="ensi0e e?uit'
is decreasing +hile the +eight o/ the chea"erde%t is increasing& leading to a constant +eighteda0erage cost o/ ca"ital
Fi 13 11 Th
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
53/64
!3
Figure 13.11: The2nde"endence H'"othesis
Th ; l Th % M di li i
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
54/64
!
The ;arl' Theor' %' Modiglianiand Miller (MM)
The r%itrage *once"t r%itrage means maing a "ro/it %' %u'ing and selling the
same thing at the same time in t+o di//erent marets
MM "ro"osed that ar%itrage %' e?uit' in0estors +ould hold the0alue o/ the /irm constant as de%t le0els changed
> ;?uit' in0estors could sell shares in a le0eraged /irm and %u'shares in an unle0eraged /irm %' %orro+ing mone' on their o+n
2nter"reting the esult The MM result im"lies that le0erage a//ects 0alue %ecause o/
maret im"er/ections
> Such as ta=es and transaction costs (including %anru"tc')
l i th ti
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
55/64
!!
ela=ing the ssum"tionsBMore 2nsights
Financing and the N.S. Ta= S'stem Ta= s'stem /a0ors de%t /inancing o0er e?uit'
/inancing> 2nterest e="ense on de%t is ta= deducti%le +hile
di0idends on stoc are not
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
56/64
!"
Ta%le 13.I
Total "a'ments toin0estors arehigher /or the
le0eragedcom"an'.
The ll ;?uit' /irm
"a's more ta=es%ecause it recei0esno interest e="ense
deduction.
l i th ti
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
57/64
!#
ela=ing the ssum"tionsBMore 2nsights
2ncluding *or"orate Ta=es in the MMTheor'
hen ta=es e=ist o"erating income (2) must%e s"lit %et+een in0estors and thego0ernment
> This lo+ers the /irm@s 0alue com"ared to +hat it+ould %e i/ no ta=es e=isted
> mount o/ reduction de"ends on the /irm@s use o/le0erage
> Nse o/ de%t reduces ta=a%le income +hich reducesta=es
2 l di * t T i
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
58/64
!$
2ncluding *or"orate Ta=es inthe MM Theor'
2n the MM model +ith ta=es interest "ro0ides ata= shield that reduces go0ernment@s share o/the /irm@s earnings hen a /irm uses de%t /inancing the go0ernment@s
tae is reduced %' (cor"orate ta= rate P intereste="ense) e0er' 'ear
> resent 0alue o/ ta= shield D (cor"orate ta= rate P interest
e="ense) ÷ d > Since interest is the amount o/ de%t (
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
59/64
!%
2ncluding *or"orate Ta=es inthe MM Theor'
Ha0ing de%t in the ca"ital structureincreases a /irm@s 0alue %' the magnitude
o/ that de%t times the ta= rate The %ene/it o/ de%t accrues entirel' to
stocholders %ecause %ond returns are
/i=ed
Fi 13 1A MM Th ith
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
60/64
"'
Figure 13.1A: MM Theor' +ithTa=es
2n the MM model +ith ta=es0alue increases steadil' as
le0erage is added. Thus& the/irm@s 0alue is ma=imiQed +ith
1-- de%t. ,ote that d remains
constant across all le0els o/de%t.
2ncl ding
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
61/64
"&
2ncluding
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
62/64
"2
Figure 13.13: MM Theor' +ithTa=es and
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
63/64
"3
n 2nsight into Mergers and c?uisitions
2n man' mergers one com"an' %u's thestoc o/ another com"an' called thetarget
The %u'ing com"an' needs to %u' shareso/ the target com"an' at a "remium o0erthe current maret "rice a'ing t+ice the current maret 0alue /or a
target /irm is not unheard o/ h' do com"anies do this$
n 2nsight into Mergers and
8/17/2019 Capstruc Struktur Modal & Leverage Nov 2013 Reg B Malam
64/64
n 2nsight into Mergers and c?uisitions
ne argument is that target /irms ma' %eunderutiliQing their de%t ca"acit' Thus& a restructuring o/ ca"ital ma' raise the 0alue
o/ the target /irm
c?uiring /irms o/ten raise the cash needed to%u' the target /irm@s shares +ith de%t
The resulting merged %usiness ends u" +ith morede%t than the indi0idual /irms had %e/ore the merger > Ma' theoreticall' %e #usti/ied i/ adding de%t adds 0alue