Calculate
Loan Payment (Regular Payments on a Loan)
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We’re
implementing here an algorithm
in Matlab to calculate
loan payment. This
program calculates the amount required as regular payments in order to
repay a
loan over a specified time period.
The specifications or conditions you
must
provide are the amount of the principal,
the interest
rate charged, the number
of payments to be made per year and the number of years to
pay. |
This code
assumes all installment payments will be equal.
The
calculation is based on this formula:
where:
R
=
regular payment
i
=
annual interest rate
P
=
principal
N
=
number of payments per year
Y
=
number of years
We
show now a video about how to use the formula. After the video, we show
you how to create a function to replicate the concept.
We then
create a Matlab function to calculate the formula above:
function rpl =
loan_payment(it, p, n, y)
it =
it/100;
rpl =
it*p/n /(1 - (it/n + 1)^(-n * y));
We create another script
to test and drive the above m-file:
clc;
clear; close all; format bank; format compact
y =
input('Enter
term in years: ');
p =
input('Enter
principal: ');
it =
input('Enter
annual interest rate: ');
n =
input('Enter
number of payments per year: ');
rpl =
loan_payment(it, p, n, y)
Example
1:
What
must you pay on a loan of $4000 at 8% if payments are to be made
quarterly for
five years?
We run
our driving code and enter:
Enter
term in years: 5
Enter
principal: 4000
Enter
annual interest rate: 8
Enter
number of payments per year: 4
The
result is:
rpl = 244.63
Example
2:
If Donald
borrows $6500 at 12.5% from Illusions
Rate Savings & Loan to be paid back over a period of
5.5 years, what
would his monthly payments be?
Again,
we run our code and enter:
Enter
term in years: 5.5
Enter
principal: 6500
Enter
annual interest rate: 12.5
Enter
number of payments per year: 12
The
result is:
rpl = 136.68
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