Time Value of Money (TVM)

Payment Mode Factor: S = 0 for End mode; 1 for Begin mode.

 

 

 

i% =

------------I/YR

 

 

 

 

 

 

 

 

 

 

 

 

 

 

P/YR

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

1 +

i%

N

 

 

i% S

 

 

 

 

 

100--------

0 = PV +

1 +

PMT

 

 

 

---------------100

-------------------------------------

 

i%

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

-------

 

 

 

 

 

 

 

 

 

 

 

 

 

100

 

 

 

 

+ FV

1

+

i%

N

 

 

 

 

 

 

 

 

 

-------

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

100

 

 

 

 

 

 

 

 

Amortization

ΣINT = accumulated interest

ΣPRN = accumulated principal

i= periodic interest rate

BAL is initially PV rounded to the current display setting. PMT is initially PMT rounded to the current display setting.

i =

I YR

P-----------------------------YR 100

For each payment amortized:

INT' = BAL × i (INT' is rounded to the current display setting; INT’ = 0 for period 0 in Begin mode.)

INT = INT' (with sign of PMT)

PRN = PMT + INT'

BALnew = BALold + PRN

ΣINTnew = ΣINTold + INT

ΣPRNnew = ΣPRNold + PRN

Interest Rate Conversions

EFF% =

⎛⎛

1

+

NOM%

P YR

100

⎝⎝

100-----------------------------

P YR

1

 

 

 

 

II Appendix B: More About Calculations