INDE 301 Notes, Fall 2016
American University of Beirut · Engineering Economy · 133 pages · Dr. Nazim Nouheid
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INDE 301 | ENGINEERING ECONOMY
GHENA HAMMOUR
By: beet Fthmmour
‘Chapter |_ Pourdlationis o& ee) neering Economy -
| ee a Sree icks
Brginwting. Gono | is ort ie Ress. OF nreking. Aeiions
These clecasis inuolwe tne oadamerntal <lemmantts _
OF Cash Fladas oF Sp aies Gee break Raw, - a
Tre. as main. 5G ascent ‘eck iA mal making €Coren tic decisions:
A.Tf tne inpotis Afxocd (Axed cost) = Maumize
tne ovtpor.. eer a ——_ “
_ Ex. Soy YOK ATE PMAvcicg P2Ns Od Yor hove oy
budget of tbloo 1D pmdvce them — 5 our ty te Maximize
the NoMber of PEAS paoducect (ostpot)
ge the output is Axed — MaiMizetheinpot,
ey * Ses. OU Want Xo Palint_A Capen, You de thet
while 4sing the leost/minimMal ameont of paint
3.TF nesther the ootpo+ cor tne inpot_are. Aived
then We tale _, mMeximon Loutpot— iaeoty.
Esseqyhal kewords: :
— LTpvestment. a a _
; Cost. a
L Usehy i Sie Be. an nvestment /payeck ——— :
i L Munmoon Attache Rate of Rotuca (QuaRR) / Sarasce Rate /
“Hurdle sate.
L Sokiage Vole =
p
By: Ghena Hammour
_Trvestmenths
Using @pitals oF money or funds te generate
wpevenues Cleenefits) or prude a sernce.
EX: Say Yor ovo A COMPA AD Inve Stet Mighat
be when Gos bury compuice for Your Emplayece,
_ 6 _winen_ 404 proude ‘thenn_catin tefre somes. Note
thet you _mignt not lee able +p measure Host “anaes
MISE
Nects
ALL passilole expenditures
Ex: Tnital st, cpeceting Cost, maintenance
Lesh, material cot, insviance cost--
— Usefu| life of an investment oc prmyect:
Doterion Hine From the Start Hil the ead of
AN WVeIMcAt a PMjech. —
_- Minimum Mittachye Rate ©} Rotucn (ARR) /disooatrar,
__ Lowest cate accapted on the semuras of a.pmyect ac
hawestment —_
Tr 16 also the fae by which we disoonttre_ cash Floud
of the saves ment .
tx Soy up have Come arnoant 4 money clepos'tHeel 1A the
Yank. thet gives you Si optim Maur opt ao Omject 40
(Ovest tas magne worth afete of AY. Nou vomnt ogres
because yn oh a min« Retucn (ate ef S7.
By: Ghena Hammour
is Salvage Naluc: a _—s
The Value we Get from an asset aftecospeciAech
Perial oF Usage .
EX. sey yeu goto neD Car bc 30,D00 agter Some years
You uy it foc _12jan0 & Solioga Niolue :
_ DeAnitoms:
Cash Flo: eS ae
—_ & cash Flaa_ \s_a Bane graph_or diagrann that kKoeps
_ Wack, of aU Cosh teansachma within “nm periods
or intervals o4 equal fare. most comment n=1 year)
Tn Gastrucing Casin Floods , we adopt end of perind
CoONmean an. Anat is) all transachans Witten a ceciod a
_ ane reforted arte end of the period.
RoVirk Qo ee
Cush Faas witla the Sane number of: eopal periods Can
___ be addecl_ and sudvatted.
Ee is ie " a Se —— A\e ies ‘so.
t =
‘ 3 \ 2 3 oO 1 2 EY
So ag y
lop 3° _ So 30 = ©»
By: Ghena Hammour
__Therect Bate. Per Sebinet ees + cateo} return. ™
_Ghore is. aclualems, doha trem , dopenctina, From Anich_
— — Preece. we are (aking | ac. caer ban itor tha cushone)
_ Takers: tale exc sila ompontopdalot_ - - Oniginal debt
AGHA cabot:
a 7 tates: a a
Nou ade ty pan abloa al “the_enctcé Teaioogt*
———— fra loan, oP WICco . ——_-—-
== L what iS the \ntecest- woke perycar cxrorgect? Ma,
The bank) — i.
— — Tei falc pps =fuse_= ses — X1CO_ = 1O*/
a Meimal atbractwe., cate ef cerunn; 7
Whee is ro “golden Mle fortinat becuse many
a __thwngs Cont oe Colcutated bout are Taitther_
eS tea :
Th is Sy ‘\owect ale, _accopledt athe
PIU ak An investment
ee iis bighelthin the fale afc py te
ct is seeale Heol ied oy the Fenncial. ondlysts
ty fachictes. a eeu facto
Ltr mh) pi fom meee Ao ancthut
=_ Ss
| wane
—- Ceidt cal WAaR Can ke calebatat
OD a wey nicl On -
ek te be try pate of cchom. pec /periad [3
Lechine 2
By: Ghena Hammour
Thad te Clete tre cial WARE?
Ps 5 ror ed Se: prnccitac. ot analy Cag
Fords
ier ie 5
the cash fonds.
jer Lo be the \aterest “ate /pertoet, charge om Biel
clebt fonchon. —_ _
[ease MARQ = vita
Example. =
Por a eyjwen Ameeneer: os rt 15,000 aig GVYA\Lalole-
Cosin. is a 500d ea ine interest ak ae a Year.
the ablojooo._are-te_be horteedsect, Ab BS). ayeot._
|
__lentical MARR = Kiet TRV
AG = £21M0-1 Pmporhon of} Cash fonchon _
biivoad MARR- ‘} i
Wink is tie CAR cal MARR?
Bad \3)000
i = BY srerurn Cate pec penoct ae
| be = B/. ; inlerest_ cote /peciod clnarge.on she dsbeninetinn:
Eaacal MeR’ - = 4.6%) + + C=L\(gy)
| = (0.08) + 3 (6.08) - oot
By: Ghena Hammour
Tine Nalue. ef MoNer4. ; Tntcest and Interest facters
— Aniecs + _____
Simoele lil Interest
obiscete._ ‘ see
Compounding erponding
Sonole Thteest:
—Totaest. is Paid at the eee of each penod
on ne angina) som _ Of nraney cal. -
EB Xi say yor hove 41000 a aining an iarere
lof 10%.
: [Arte end of | Year aco
Pt the end of Pa
_ Example.
Ve interest rate _{ Per fetiod
241200 Cadd (00 ony anginal
- Pi _ongina) _som_of Mane, Te
Q
- he fudare, Valu. Pp! ah ee
Compound Tnterests
Trees 's_ paid on eained \niccesi,
Discrete compacting
Anerest \s Paid discretely at the ead of each petiock.
By: Ghena Hammour
Discrele. Grponding, factors
_0 e_cCose_ of aingle Payot.
ui interwat tate./periacl
| 9s OngineL BLM 2} Ong. = —
: gs Ruture_ Velie. ec upoyHhn Pp a - _ ——_
_E&ad £ ered | Nalue | Sriginal masat__+ _onginal
Sane Cted tp inreccsy
| Oe typ | p+ Usp
: ee Se SO: Ses ee 20.88 ew A ir
a Wadyp | Mis eypust ue pe a cyio
The teem _ 141)" is cate the Astute sancth ctor of a
Single payment Compaoundect_atthe tate _U/perlocd Coen’ perices
symbol + CF LPO) read asi f given prranda
@ What if we ont to And she orignal som 02 _
P= (i> Lye ix -
The Acom C+) is called _presentutarts facto oh a
_forure_Nolue onder discrete compounding. atthe
rae. U/penod. 7 path
symbol + (PE, tim) read as: Paiven 3.00
By: Ghena Hammour
CT Amew tomo
— We. “‘Oomver CF periods rtakos. aso of moneig ete
tn deol. onder. pias Otte tale. L/ pera. _
is 2 7S anh
58 Fn —— a
~ Dawe did that coe er
Uap = ae | _
nbn (itt) = laa = >.
N= OX ~% Lana
—— ———$———$—<— nt tm SY aa ee ee
nhc) L-E 0 ale.
ee es a = ae ‘ —
a
Aide Nole 1 Indi4x)= x age
— _Sxample. a Se a
: ____Pe_pefson horas F450 Fan 2 loank and
_ Onyrees “TO repouy, the worle debt after tre years.
TW interest Charged on tine cay is %% compoondecl =
— QnA Nad noe sould ne pessoa Poy?
a ———o SSS SO
a ih What sunn.of erongy PS: ‘is Sec 0 & 8250. nwo yeas oa
frm Pavd_, 1F Whe interes _qauned is Hyper month
—_Compooncled_ reo: month. RS ne a RT
lp. 4 ty ——
= U4 Any eaN0 te
ee B405a53985
By: Ghena Hammour
AL ab\000_can be borrowed at O fate of Ive oO anon
—compoonded _mnantiaiy for_one . —
__ TAA saw amount can be. bonmuect for on2..Yyeor oe -
\a"h a year. ‘Much Guid be. saved in nierst
Cc e,
-peangea eS aa
eee TT eis Ten
= bie l% Nee 4: Va Mal |
| [Fat sty tf = (900 (E\P 14,12) fe Loan GF, IP, Zz, Kis
- = (\+ \% )x logo ; J,= 412%) x lao
de llth —_ Fra ll204
5 Amoont saved ‘is a4
\laddlole_ rates ancl tne. equivieleat. onifoon. rate.
| int Se
| ae Sea ae
ae |e = — ir anced
6 = Letty C4) = $s Ole
- 2aycaie oth cides, re 7
URES Me cle ek teal Usp = wir ieto ——
= at C+ uy Litt s Lt les\®
F fe Vator Gans Uae BC
Toeometnic Mead