15-10-4

 

 

 

 

 

 

Bond Calculation

 

 

 

 

 

 

Calculation Formulas

 

 

 

 

 

 

 

D

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A

B

Redemption date (d2)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Issue date

 

 

 

 

Purchase date (d1)

Coupon Payment dates

PRC

: price per $100 of face value

CPN

:

coupon rate (%)

 

 

 

YLD

:

annual yield (%)

 

 

 

A

:

accrued days

 

 

 

M

: number of coupon payments per year (1 = Annual, 2 = Semi-annual)

N

: number of coupon payments until maturity

RDV

 

(n is used when “Term” is specified for [Bond Interval] in the [Format] tab.)

: redemption price per $100 of face value

D

: number of days in coupon period where settlement occurs

B

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

INT

:

accrued interest

 

 

 

CST

:

price including interest

 

 

uPrice per $100 of face value (PRC)

Bond Interval Setting: Date

For one or fewer coupon period to redemption

 

 

 

RDV +

CPN

 

 

 

 

 

 

 

 

 

 

 

PRC =

M

 

+ (

A

 

CPN )

 

 

 

 

 

 

 

 

 

 

 

 

 

 

B

 

YLD/100

 

D

 

 

 

 

 

1+ (

)

 

 

M

 

 

 

 

 

D

 

M

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

• For more than one coupon period to redemption

 

 

 

PRC =

 

 

 

RDV

 

 

Σ

CPN

+

A CPN

 

 

 

 

 

M

 

 

 

 

 

 

 

 

 

 

 

 

N

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

M

 

 

(1+

YLD/100 ) (N–1+B/D

)

k=1

(1+ YLD/100 )(k–1+B/D

)

 

D

 

 

 

 

 

M

 

 

 

 

 

 

 

M

 

 

 

INT =

 

A

CPN

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

D

M

 

 

 

 

 

 

 

 

 

 

 

 

 

CST = PRC + INT

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