Lending

Loans with a constant amount paid towards Principal

•BALk = remaining balance after time period k.

•CPMT = Constant payment to principal.

•BALk = PV - (k x CPMT)

•Kth payment to interest = i (BALk) = (PMTi)k

•Kth total payment = CPMT + (PMTi)k

Add-On Interest Rate to APR

•r = add-on rate as a decimal.

•n = number of monthly payments.

•APR = 1200i, where i is the solution in the following equation:

n

 

=

1

– (1 + i)–n

1------------------+

-----n-

r

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

i -

 

 

 

12

 

 

 

 

Add-On to APR with Credit Life

•CL = credit life as decimal.

•AMT = loan amount.

•FC = finance charge.

n 1 + ------ r

12

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

n   n 2 ⋅ 1–------CL–------CL r

12 12

•

G

--- = PMT n

•

G ⋅ CL ⋅ n amount of credit life

---------------------------=

12

151

Page 152
Image 152
HP 12C manual Lending, Loans with a constant amount paid towards Principal, Add-On Interest Rate to APR, 151