It is the practice of almost all banks in the Philippines that when they grant a loan, the interest for one year is automatically deducted from the principal amount upon release of money to a borrower. Let us therefore assume that you applied for a loan with a bank and the P80,000 was approved at an interest rate of 14% of which P11,200 was deducted and you were given a check of P68,800. Since you have to pay the amount of P80,000 one year after, what then will be the effective interest rate? A. 16.02 % B. 16.28 % C. 16.32 % D. 16.47 %

16.02%
16.28%
16.32%
16.47%

The correct answer is $\boxed{\text{B) 16.28%}}$.

The effective interest rate is the actual rate of interest paid on a loan, taking into account both the interest rate and any fees or other charges. In this case, the effective interest rate is higher than the stated interest rate of 14% because the interest is deducted from the principal amount before the loan is disbursed. This

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means that the borrower is effectively paying interest on interest.

To calculate the effective interest rate, we can use the following formula:

Effective interest rate = (1 + (Interest rate / Number of compounding periods per year))^Number of compounding periods per year – 1

In this case, the interest rate is 14% and the number of compounding periods per year is 12. So, the effective interest rate is:

Effective interest rate = (1 + (0.14 / 12))^12 – 1 = 16.28%

Therefore, the effective interest rate on the loan is 16.28%.

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