,List of Symbols
m m
(A/F,i,Nm ) sinkingmfund mfactor BVsl(n) bookmvaluematmend mof mperiod
nm usingmstraight-
(A/G,i,Nm ) arithmeticmgradient linem method
tomannuitymconversion m f
actor C presentmworth mof mcosts
(A/P,i,Nm ) capitalmrecoverymfactor CCA capitalmcostmallowance
(F/A,i,Nm ) uniformmseriesmcompound CSF capitalmsalvagemfactor
amountmfactor
CTF capitalmtaxmfactor
(F/P,i,Nm) compound mamountmfactor
d
(P/A,g,i,N m ) geometricmgradientmto depreciation mratemform d
presentmworth mconversio eclining-balancemmethod
nm factor
Ddb(n)
(P/A,i,Nm ) seriesmpresentmworthmfactor depreciation mamountmf
orm period mnm usingmdecli
(P/F,i,Nm) presentmworth mfactor ning-m balancemmethod
A annuitymamount, mequivalen Dsl(n)
tm annualmcost depreciation mamountmfor
m period mnm usingmstraight-
AC currentmdollarsminmyearmN
linem method
Amtot
EAC equivalentmannualmcost
totalmannuitymformarithm
eticm gradientmtomannuitym ERR externalmratemof mreturn
conversion mfactor
E(Xm)
A' expected mvaluemof m
basemannuitymformarithm themrandommvariabl
eticm gradientmtomannuitym e, mX
conversion mfactor
F futuremvalue, mfuturemworth
AW annualmworth
f inflation mratempermyear
B presentmworth mof mbenefits
FW futuremworth
BCR benefit–costmratio
g growth mratemformgeometr
BCRM modified mbenefit–costmratio icm gradient
BVdb(n) i currentminterestmrate
bookmvaluematmend mof mperi
od I interestmamount
nm usingmdeclining-
balancem method i' realminterestmrate
Ic compound minterestmamount
,ie effectiveminterestmrate N
numbermof mperio
is interestmratempermsubperiod ds, musefulm lifemof manmass
et
Is simpleminterestmamount
P
i°
presentmvalue,
growth madjusted minterestmrat
mpresentm worth, mpurc
e
hasemprice,m principal
IRR internalmratemof mreturn mamount
IRRC currentmdollarmIRR PW presentmworth
IRRR realmdollarmIRR p(x) probabilitym distribution
i* internalmratemof mreturn Pr{Xm =m xi} alternativemexpression mof
probabilitym distribution
i*e externalmratemof mreturn
r
i*ea nominalminterestmra
approximatemexte te, mratingm formamdecision m
rnalmratem of mreturn matrix
I0,N R0,N
themvaluemof mamgl realmdollarmequival
obalmpricem indexmatmyear entmtomANm relativemtomyear
mN, mrelative mtom yearm0 m0, mthembasem year
m S salvagemvalue
numbermof msubp
eriodsminm amperiod t taxmrate
MARR UCC undepreciated mcapitalmcost
minimummaccept
X randommvariable
ablemratem of mreturn
01 Laspeyresmpricemindex
MARRC currentmdollarmMARR
MARRR realmdollarmMARR
,
m m
(A/F,i,Nm ) sinkingmfund mfactor BVsl(n) bookmvaluematmend mof mperiod
nm usingmstraight-
(A/G,i,Nm ) arithmeticmgradient linem method
tomannuitymconversion m f
actor C presentmworth mof mcosts
(A/P,i,Nm ) capitalmrecoverymfactor CCA capitalmcostmallowance
(F/A,i,Nm ) uniformmseriesmcompound CSF capitalmsalvagemfactor
amountmfactor
CTF capitalmtaxmfactor
(F/P,i,Nm) compound mamountmfactor
d
(P/A,g,i,N m ) geometricmgradientmto depreciation mratemform d
presentmworth mconversio eclining-balancemmethod
nm factor
Ddb(n)
(P/A,i,Nm ) seriesmpresentmworthmfactor depreciation mamountmf
orm period mnm usingmdecli
(P/F,i,Nm) presentmworth mfactor ning-m balancemmethod
A annuitymamount, mequivalen Dsl(n)
tm annualmcost depreciation mamountmfor
m period mnm usingmstraight-
AC currentmdollarsminmyearmN
linem method
Amtot
EAC equivalentmannualmcost
totalmannuitymformarithm
eticm gradientmtomannuitym ERR externalmratemof mreturn
conversion mfactor
E(Xm)
A' expected mvaluemof m
basemannuitymformarithm themrandommvariabl
eticm gradientmtomannuitym e, mX
conversion mfactor
F futuremvalue, mfuturemworth
AW annualmworth
f inflation mratempermyear
B presentmworth mof mbenefits
FW futuremworth
BCR benefit–costmratio
g growth mratemformgeometr
BCRM modified mbenefit–costmratio icm gradient
BVdb(n) i currentminterestmrate
bookmvaluematmend mof mperi
od I interestmamount
nm usingmdeclining-
balancem method i' realminterestmrate
Ic compound minterestmamount
,ie effectiveminterestmrate N
numbermof mperio
is interestmratempermsubperiod ds, musefulm lifemof manmass
et
Is simpleminterestmamount
P
i°
presentmvalue,
growth madjusted minterestmrat
mpresentm worth, mpurc
e
hasemprice,m principal
IRR internalmratemof mreturn mamount
IRRC currentmdollarmIRR PW presentmworth
IRRR realmdollarmIRR p(x) probabilitym distribution
i* internalmratemof mreturn Pr{Xm =m xi} alternativemexpression mof
probabilitym distribution
i*e externalmratemof mreturn
r
i*ea nominalminterestmra
approximatemexte te, mratingm formamdecision m
rnalmratem of mreturn matrix
I0,N R0,N
themvaluemof mamgl realmdollarmequival
obalmpricem indexmatmyear entmtomANm relativemtomyear
mN, mrelative mtom yearm0 m0, mthembasem year
m S salvagemvalue
numbermof msubp
eriodsminm amperiod t taxmrate
MARR UCC undepreciated mcapitalmcost
minimummaccept
X randommvariable
ablemratem of mreturn
01 Laspeyresmpricemindex
MARRC currentmdollarmMARR
MARRR realmdollarmMARR
,
