PROFI TABI LI TY
PROFI TABI LI TY
AN ALYSI S
AN ALYSI S
Ek on om i Te k n ik Kim ia
Ek on om i Te k n ik Kim ia
By D r . I st a di
By D r . I st a di
2 0 0 7
2 0 0 7
Sch e du le
Sch e du le
Tim e Value of Money ( I nt er est Rat e) & Cash Flow
Depr eciat ion & Salvage Value
Pr ofit a bilit y An a ly sis
Select ion of Alt er nat if I nvest m ent of Chem ical Plant Equipm ent
Sensit ivit y/ Br eak Even Analysis
Tax Pr incipals ( Dasar - Dasar Per paj akan)
Select ion of Plant Locat ion
Cor por a t e / Pla n t Obj e ct iv e s
• Maxim ize t he r et ur n on invest m ent
• Maxim ize t he r et ur n on st ockholder ’s equit y
• Maxim ize aggr egat e ear ning
• Max im ize com m on st ock pr ices
• Find out let s for a m ax im um of addit ional
invest m ent at r et ur ns great er t han t he m inim um accept able r at e of r et ur n
• I ncr ease m ar ker shar e
• I ncr ease t he econom ic value added
• I ncr ease ear nings per shar e of st ock
• I ncr ease t he m ar ket value added
Pr oj e ct Cla ssifica t ion
•
Necessit y Pr oj ect ( r educt ion of
oper at ing expenses)
•
Pr oduct im pr ovem ent pr oj ect
•
Pr ocess im pr ovem ent pr oj ect
•
Expansion pr oj ect ( t o m eet incr eased
sales dem and)
•
New vent ur es ( r equir e capit al
M in im u m Acce pt a ble
Ra t e of Re t u r n
• Pihak m anaj em en m ungk in akan m enaikkan r at e y ang diper luk an unt uk m engant isipasi r esik o pr oj ek at au j ika budget t er bat as
• Manaj em en selanj ut ny a m enent uk an r at e of r et ur n m inim um unt uk suat u pr oj ek .
• Yang per lu diper hat ik an adalah Modal, dar i m ana dipinj am .
• Per usahaan har us ber usaha agar pendapat an lebih besar dar ipada biay a angsur an, dan har us unt ung ( pr ofit able)
• Higher t he r isk, higher t he r equir ed r et ur n
• Today’s econom y Î ROI aft er t ax m inim um : 25-35 % , and Pay out Tim e m axim um : 3 year s
Fa ct or s Affe ct in g M in im u m
Acce pt a ble Ra t e of Re t u r n
•
Cost of Capit al
•
Availabilit y of Capit al ( healt h of
econom y)
•
Com pet ing I nvest m ent s
•
Differ ence in Risks of invest m ent
Pr ofit a bilit y M e a su r e s
•
Qu a n t it a t iv e M e a su r e s
–
I nt er est Rat e based ( ROI , I RR/ DCFROR)
–
Money / Cash based ( NPV, NFV)
–
Tim e Based ( POT/ Pay back Per iod)
•
Qu a lit a t iv e M e a su r e s
–
Em ploy ee m or ale
–
Em ploy ee safet y
–
Env ir onm ent al Const r aint s
–
Legal Const r aint s
Re t u r n on I n v e st m e n t ( ROI )
•
Mer upak an besar ny a laj u pengem balian
m odal suat u inv est asi
•
Biasany a digunak an analisis pr oj ek dengan
pendapat an r at a- r at a per t ahun
•
Persam aan:
•
ROI can be calculat ed befor e or aft er t ax es
•
Denom inat or could be Fixed Capit al
I nv est m ent or Fix ed + Wor k ing Capit al
•
Pr ofit = incom e - ex penses
ROI =Annual net profit earnings after taxes
D isa dv a n t a ge of “Re t u r n
on I n ve st m e n t ( ROI ) ”
•
The t im e value of m oney is ignor ed
•
The pr oj ect w ill last t he est im at ed life and
t his is oft en not t r ue
•
Equal w eight is given all incom e for all
y ear s and t hat is not alw ay s t r ue. The
av er aging of pr ofit s per m it s lax it y in
for ecast ing
•
I t does not consider t im ing of cash flow s
•
I t does not consider capit al r ecov er y
Re t u r n on Av e r a ge
I n v e st m e n t ( ROAI )
• Met hod for m easur ing t he pr ofit abilit y of
inv est m ent s ut ilizing account ing dat a and based on aver aging m et hod
• Equat ion:
• Why FCI / 2 ??
– At t he beginning of a proj ect t he ret urn is earned against t he full invest m ent , and at t he end of a pr oj ect t he invest m ent has been fully depr eciat ed and t he capit al has been recovered.
– Therefore, on t he average over t he life of t he inv est m ent , half t he FCI is inv olv ed.
• Kelem ahan ? Sam a dengan ROI
ROAI =Annual net profit earnings after taxes
Pa y ba ck Pe r iod/ Pa y ou t
Tim e ( POT)
• Ot her t er m s: Payback Per iod, Payout Tim e.
• To calculat e t he am ount of t im e t hat w ill be r equir ed t o recover t he depreciable FCI from t he accrued cash flow of a pr oj ect .
• Equat ion:
• The denom inat or m ay be t he averaged annual cash flow or t he individual year ly cash flow s. This could be aft er or befor e t ax.
• Disadvant ages:
– No consider at ion t o cash flow or t im e v alue of m oney
– The m et hod m ak es no pr ov ision for including land or w or k ing capit al
POP =Depreciable Fixed Capital Investment
After-tax Cash Flow
Pa y ou t Pe r iod w it h
I n t e r e st ( POPI )
•
Tak es int o account t he t im e v alue of
m oney ( discount ed) .
•
Equat ions:
•
Where:
– ( aft er t ax cash flow )i = cash flow discount ed t o t im e zer o at int er est r at e i.
– ( fixed capit al invest .)i = FCI com pounded t o t im e zer o at an int er est r at e i
Ex a m ple ( ROI & POT)
• Pr oble m : A pr oposed chem ical plant w ill r equir e a
fixed- capit al invest m ent of $10 m illion. I t is est im at ed t hat t he w or king capit al w ill am ount t o 25 per cent of t he t ot al inv est m ent , and annual depr eciat ion cost s ar e est im at ed t o be 10 % of t he FCI . I f t he annual pr ofit w ill be $3 m illion, det er m ine t he st andar d % ROI and t he m inim um payback per iod.
• Solu t ion :
• Annual Pr ofit = $3.000.000
• Fixed capit al invest m ent = $10. 000.000
• Wor king Capit al = ( 25% ) ( $10. 000. 000) = $2.500. 000
• Rat e of Ret ur n on I nvest m ent =
2.000. 000/ ( 10.000.000+ 2.500.000) x 100% = 16%
Exam ple
Exam ple
…
…
.
.
• Pay out Tim e = depr eciable FCI / ( av g. pr ofit / y r + av g. depr eciat ion/ y r )
• Depr eciat ion = ( 10% ) ( 10.000.000) = $100.000
• Pay out Tim e =
( 10.000.000) / ( 3.000.000+ 100.000) = 3.23 year
N e t Pr e se n t W or t h ( N PW )
• Ot her t er m s: Net Present Value ( NPV)
• The NPW is t he one m ost com panies use since it has none of t he disadv ant ages of ot her m et hods and t r eat s t he t im e v alue of m oney and it s effect on pr oj ect pr ofit abilit y pr oper ly
• The NPW is t he algebr aic sum of t he discount ed v alues of t he cash flow s each year dur ing t he life of pr oj ect
t im e Discount ing
S
ta
rt
-u
p
Com pounding
…
…
NPW
NPW
•
The Net Pr esent Wor t h ( NPW) is t he
differ ence bet w een t he pr esent w or t h of all
cash inflow and t he pr esent w or t h of all
invest m ent it em s:
•
Pr oj ect w it h high NPW w ill pr oduce a
great er fut ur e w or t h t o a com pany.
Adv a n t a ge s a n d
D isa dv a n t a ge s of N PW
•
Adv a n t a ge s:
–
Tim ing of all cash flow s and capit al
r ecov er y at t he end of a pr oj ect ar e
consider ed
•
D isa dv a n t a ge s:
–
Capit al inv est m ent is hidden in t he
calculat ion and need t o be st at ed clear ly
in any r epor t of t he r esult s
N e t Pr e se n t W or t h I n de x
( N PW I )
•
Also know n as Pr ofit abilit y I ndex
•
The NPWI is t he r at io of t he pr esent
value of t he aft er - t ax cash inflow s t o
t he pr esent value of t he cash
out flow s or capit al it em s
•
NPWI > 1
Î
gr eat er t han discount
I n t e r n a l Ra t e of Re t u r n
( I RR)
• I RR or DCFROR is t he int er est or discount r at e for w hich t he Net Pr esent Value of t he pr oj ect is equal t o zer o
• I RR is usually used for analyze t he pr oj ect in w hich t he r ev enue of t he pr oj ect is not unifor m y ear ly = = > cash flow
• I t is discount r at e t hat r esult s w hen t he NPW is equal t o zer o.
• Also know n as: DI SCOUNTED CASH FLOW RATE OF
RETURN ( DCFROR)
• The t echnique is sim ilar w it h NPW m et hod
• I RR is t he int er est r at e t hat w ill pr oduce an NPW of zer o.
D CFROR Ca lcu la t ion of A
Pr oj e ct
• DCFROR can be calculat ed fr om t he Cash Flow and Fixed Capit al I nvest m ent w hich for w ar d t o pr esent value:
• WC and Salvage Value ar e r ecover able
FCI WC = CASH FLOW P/A , i , n WC SV 1
1 i n
FCI WC = CASH FLOW 1 i n−
1
Lim it at ions of I RR Met hod
Lim it at ions of I RR Met hod
• M u lt iple r a t e s for r e t u r n : Unusual cash flow forecast s
can lead t o m ore t han one answ er for t he I RR
• Re in v e st m e n t Ra t e : I nherent in t he I RR calculat ion is t he
assum pt ion t hat funds receiv ed dur ing t he pr oj ect can im m ediat ely be reinvest ed at t he sam e int erest rat e as t he I RR. This is not alw ay s possible.
• Com pa r ison of t w o or m or e pr oj e ct s: When com paring
t w o or m ore m ut ually ex clusiv e proj ect s w ill not necessarily lead t o t he correct choice.
• Siz e of t h e in v e st m e n t : The I RR cannot different iat e
bet w een differ ences in t he size of t he invest m ent .
• Tim in g of ca sh flow s: Because of uncert aint y in forecast ,
t here is t he possibilit y t hat t he discount ed v alue of t he net cash flow s can equal t o zer o at m ore t han one int er est r at e.
N e t Ra t e of Re t u r n ( N RR)
•
Equat ion:
•
The cost of capit al has been t ak e car e of
in t he NPW calculat ion so t hat t he NRR is
t hen a t r ue net r et ur n r at e
NRR =
{
Net Present WorthCa pit a liz e d Cost s
• Capit alized Cost ( K) is useful for com par ing alt er nat ives w hich exist as possible invest m ent choices w it hin a single ov er all pr oj ect .
• Capit alized cost r elat ed t o invest m ent r epr esent s t he am ount of m oney t hat m ust be available init ially t o pur chase t he equipm ent and sim ult aneously pr ov ide sufficient funds for int er est accum ulat ion t o per m it per pet ual r eplacem ent of t he equipm ent
Ca pit a liz e d cost ….
• Equat ion:
• K : capit alized cost
• Cv : or iginal cost of equipm ent
• CR: r eplacem ent cost
• Vs : salv age v alue at end of est im at ed useful life
• n : useful life
• i : int er est r at e
• ( 1+ i)n / ( ( 1+ i)n- 1) = capit alized- cost fact or
K = Cv CR 1+i n−1
= CR 1 +i
n
1 +in−1
Pe r son a l Assign m e n t ( 1 w e e k )
• Pr oble m : Sebuah perusahaan ingin ber invest asi di bidang
pabrik k im ia. Berik ut ini adalah dat a- dat a unt uk analisis ekonom i:
– Fix ed Capit al I nv est m ent : $3,600,000
– Kapasit as pabr ik : 5,000,000 lb/ y ear
– Per iode Konst r uk si : 1 t ahun
– Land : $100,000
– Wor k ing Capit al : $300,000
– Pr oj ect life ( um ur pabr ik ) : 10 y ear s
– Depreciat ion: St raight - line m et hod
– Pot ent ial Sales: 4,000,000 lb/ y ear , dan m eningk at 10% t iap t ahun hingga ak hir pr oj ect
– Selling pr ice: &0.80/ lb dalam 2 t ahun per t am a set elah m asa k onst r uk si, dan m eningkat 5% per t ahun unt uk t ahun- t ahun ber ik ut ny a
– Cash oper at ing ex penses: $0.25/ lb pada t ahun per t am a set elah m asa konst r uk si dan m eningkat 3% per t ahun unt uk t ahun- t ahun ber ikut nya.
– I ncom e t ax r at e : 35%
La n j u t a n Tu ga s
• Soal/ Per t anyaan:
– Buat lah Cum m ulat ive Cash Flow unt uk Pr oj ect di at as m ulai t ahun k e- 0 ( m asa k onst r uk si) hingga akhir pr oj ect .
– Hit unglah Pay out Tim e ( dalam t ahun)
– Hit unglah Rat e of Ret ur n on I nvest m ent ( ROI )