6.3 The Potential to Mislead
Let us now compare the APR in the three Mortgage Illustrations outlined above. For clarity of understanding refer back to each Illustration in turn. (See Section 6.2.)
Illustration 1: APR Computation
First National Building Society (May 1991)
Amount Borrowed£35,000 over 20 Years.
Mortgage Interest Rate Quoted11.85% p.a.
Monthly Repayment Charge£386.81.
The Amount Borrowed is to be repaid by 240 End of Month Monthly Repayments of £386.81
Therefore:R=£386.81
P=£35,000
n=240 months
i=?
We want to compute the interest rate being charged over the time period increment, which in this case is one month.
Using Formula (F5)R=P
i.e.£386.81=£35,000
We want to compute the value of i that satisfies this expression.
By iteration, i computes at 1.005% per month.
The Monthly % Rate of charge is therefore 1.005%.
The Annual Percentage Rate (APR) of charge is computed by compounding the monthly % Rate of charge to 12 months.
i.e.APR=100
Note! The expression gives the Annual Rate of Charge in terms of a decimal fraction; we then multiply this decimal fraction by 100 to convert to percentage.
i=1.005% per month
n=12 months
Giving:APR=100
=12.749%
Illustration 2: APR Computation
Some Competitor Financial Institution. (Illustration Example)
Amount Borrowed£35,000 over 20 Years.
Mortgage Interest Rate Quoted12.06% p.a.
Monthly Repayment Charge£386.85.
Monthly Interest Rate Charged = 1.005%,i.e.
Giving:APR=12.749% (as already computed above)
Illustration 3: APR Computation
Some Competitor Financial Institution. (Illustration Example)
Amount Borrowed£35,000 over 20 Years.
Mortgage Interest Rate Quoted11.85% p.a.
Monthly Repayment Charge£381.73.
Monthly Interest Rate Charged = 0.9875%,i.e.
Giving:APR=100
=12.515%
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Comparing the above Illustrations:
Illustration |
Quoted |
Computed APR |
Indicated APR |
1 |
11.85% p.a. |
12.749% |
12.7% |
2 |
12.06% p.a. |
12.749% |
12.7% |
3 |
11.85% p.a. |
12.515% |
12.5% |
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From the above Illustrations it is clear that a statement of Annual Percentage Rate (APR) of charge provides the borrower with a statute defined yardstick that enables him to make a true comparison of the ‘cost of credit’ as charged by the various Lending Institutions.
It is also clear that the failure by First National / Irish Life to indicate the APR on their Mortgage Quotation would be likely to mislead a borrower; it would also be likely to afford First National / Irish Life an unfair advantage over a competitor Financial Institution.