Cost/Sell/Margin

CST = SEL 1 –

MRG

SEL =

CST

MRG(%) = 1 –

CST

100

100

 

SEL

 

1 –

MRG

 

 

 

 

 

 

100

 

 

 

DepreciationuStraight-Line Method

SL1 =

(PV FV )

YR1

SLj =

(PV FV )

SLn+1 =

(PV FV )

12 – YR1

(YR112)

 

n

 

 

12

 

n

 

 

n

 

 

12

 

uFixed-Percentage Method

FP1 = PV

I%

YR1

FPj = (RDVj–1+ FV )

I%

FPn+1 = RDVn

(YR112)

100

12

100

RDV1 = PV FV FP1

RDVj = RDVj–1FPj

 

RDVn+1 = 0

(YR112)

uSum-of-the-Years’-Digits Method

n (n + 1)

 

 

 

 

n' = n

YR1

Z' =

(Intg(n' ) + 1)(Intg(n' ) + 2 Frac(n' ))

Z =

 

 

 

 

 

 

 

 

 

 

 

 

 

2

 

 

 

 

 

 

12

 

2

SYD1 =

n

 

 

YR1

(PV FV )

 

 

 

SYDj = (

n' j + 2

)(PV FV SYD1) ( j1)

 

 

Z

12

 

 

 

 

 

 

 

Z'

SYDn+1 = (

n' – (n + 1) + 2

)(PV FV SYD1)

12 – YR1

(YR112)

 

12

 

 

 

 

 

 

 

 

Z'

 

 

 

 

 

 

 

RDV1 = PV FV SYD1

 

RDVj = RDVj –1SYDj

uDeclining-Balance Method

DB1 = PV

I%

 

YR1

RDV1 = PV FV DB1

DBj = (RDVj–1+ FV )

I%

100n

12

100n

 

 

 

 

 

RDVj = RDVj–1DBj

 

DBn +1 = RDVn (YR112)

RDVn+1 = 0

(YR112)

Bond CalculationuTerms in the formulas

PRC: price per $100 of face value

 

 

RDV: redemption price per $100 of face value

 

 

CPN: coupon rate (%)

 

 

YLD: annual yield (%)

 

 

M: number of coupon payments per year

 

 

 

 

(1 = Annual, 2 = Semi-annual)

Issue date

N: number of coupon payments until maturity (n is

 

 

used when “Term” is specified for “Bond Interval”.)

 

 

D

AB

Redemption date (d2)

INT: accrued interest

Purchase date (d1)

Coupon payment dates

 

 

CST: price including interest

 

 

A: accrued days

 

 

D: number of days in coupon period where settlement occurs

B: number of days from purchase date until next coupon payment date = D A

Chapter 11: Financial Application

185