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Article #429: How Do I Calculate Finance Charges?

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Having some knowledge of how to calculate to be paid back equals the principal
finance charges is always a good thing. borrowed plus the interest charge:
Most lenders, as you know, will do this Total repayments = principal + interest
for you, but it can helpful to be able to Usually the money is paid back in regular
check the math yourself. It is important, installments, either monthly or weekly.
however, to understand that what is To calculate the regular payment amount,
presented here is a basic procedure for you divide the total amount to be repaid
calculating finance charges and your by the number of months (or weeks) of the
lender may be using a more complicated loan.
method. There may also be other issues To convert the loan period, 'T', from
attached with your loan which may affect years to months, you multiply it by 12.
the charges. To convert 'T' to weeks, you multiply by
The first thing to understand is that 52, since there are 52 weeks in a year.
there are two basic parts to a loan. The Here is an example problem to illustrate
first issue is called the principal. This how this works.
is the amount of money that is borrowed. Example:
The lender wants to make a profit for his A single mother purchases a used car by
services (lending you the money) and this obtaining a simple interest loan. The car
is called interest. There are many types costs $1500, and the interest rate that
of interest from simple to variable. This she is being charged on the loan is 12%.
article will examine simple interest The car loan is to be paid back in weekly
calculations. installments over a period of 2 years.
In simple interest deals, the amount of Here is how you answer these questions:
the interest (expressed as a percentage) 1. What is the amount of interest paid
does not change over the life of the over the 2 years?
loan. This is often called flat rate or 2. What is the total amount to be paid
fixed interest. back?
The simple interest formula is as 3. What is the weekly payment amount?
follows: You were given: principal: 'P' = $1500,
Interest = Principal × Rate × interest rate: 'R' = 12% = 0.12,
Time repayment time: 'T' = 2 years.
Interest is the total amount of interest Step 1: Find the amount of interest paid.
paid. Interest: 'I' = PRT
Principal is the amount lent or borrowed. = 1500 × 0.12 × 2
Rate is the percentage of the principal = $360
charged as interest each year. Step 2: Find the total amount to be paid
To do your math, the rate must be back.
expressed as a decimal, so percentages Total repayments = principal + interest
must be divided by 100. For example, if = $1500 + $360
the rate is 18%, then use 18/100 or 0.18 = $1860
in the formula. Step 3: Calculate the weekly payment
Time is the time in years of the loan. amount.
The simple interest formula is often Weekly payment amount = total repayments
abbreviated: divided by loan period, T, in weeks. In
I = P R T this case, $1860 divided by 104 weeks
Simple interest math problems can be used equals $17.88 per week.
for borrowing or for lending. The same Calculating simple finance charges is
formulas are used in both cases. easy once you have done some practice
When money is borrowed, the total amount with the formulas.






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