Doing Amortization with AMRT
QED Education Scientific
4
EXE
CMPD
0
2
EXE
7
4
EXE
5
0
(
─
)
0
EXE
0
1
EXE
2
EXE
SOLVE
1
2
AMRT
1
EXE
8
EXE
SOLVE
Doing Amortization with AMRT
The AMRT mode of 100V/200V allows user to perform amortization, which shares
many parameters/variables with the CMPD mode. In examples that follow we shall
be able to see the advantage of such ‘sharing’. Note that some amortization
problems are actually simple annuity problems which we can solve using the CMPD
mode (refer to Example 5 of
Compound Interest with CMPD
).
This first example finds the outstanding balance of a loan after certain numbers of
payment are made.
Example 1
►
>>
A loan of $5,000 is to be amortized with equal monthly payment
over 2 years at
%
7
12
=
j
. Find the outstanding principal (balance) after 8 months.
Check page E-55 of the user guide for definitions of PM1, PM2, BAL, INT, PRN,
∑
INT
and
∑
PRN. For
this example, n = 2x12 = 24,
I
% = 7, PV = -5,000, P/Y = = C/Y = 12. Other parameters = 0.
Operation
As we need to know the monthly payment of the loan, so we begin at CMPD mode.
When monthly payment is found we proceed to AMRT mode for other calculations.
Enter CMPD mode, make sure calculator displays [Set:End]. Scroll down, enter
24 for [n], 7 for [
I%
], (-)5000 for [PV], 0 for [FV], 12 for [P/Y] and [C/Y].
Now scroll up to select [PMT] and solve it.
So the monthly payment for the loan is about $223.86. Now find the outstanding
principal.
Enter AMRT mode, scroll down to enter 1 for [PM1] and 8 for [PM2].
Scroll down further to select [BAL:Solve] and solve it.
Therefore the outstanding balance after 8 payments is approximately $3410.26.
█
Output: PMT = 223.8628955
•
•
•
Output: BAL = -3410.256063
