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The true cost of lending is the:

A) annual percentage rate.
B) effective annual rate.
C) quoted interest rate.
D) interest rate per period.

1 Answer

4 votes

Final answer:

The correct option: effective annual rate (EAR)

The true cost of lending is best depicted by the effective annual rate (EAR), which includes the effects of compounding, unlike the annual percentage rate (APR) or the nominal interest rate.

Step-by-step explanation:

The effective annual rate (EAR) stands out as the most accurate representation of the true cost of lending, surpassing other measures like the quoted interest rate or the annual percentage rate (APR). The significance of EAR lies in its ability to account for the compounding effects of interest, offering a more precise evaluation of the actual cost of borrowing.

Unlike the quoted interest rate, which may not consider the impact of compounding, EAR incorporates the frequency of compounding into its calculation. This becomes particularly crucial when comparing loans with different compounding periods. The EAR provides a comprehensive measure that reflects the true cost of borrowing by considering the compounding intricacies, ensuring a more accurate representation of the financial commitment associated with a loan.

While the APR is a widely used metric for expressing the cost of borrowing, it may not capture the full effect of compounding as effectively as EAR does. The APR represents the cost of borrowing on an annual basis but does not consider the nuances introduced by compounding at different intervals.

In conclusion, the effective annual rate (EAR) stands as the most accurate indicator of the true cost of lending. Its incorporation of compounding frequency ensures a more precise representation of the real cost of borrowing, making it an essential metric for borrowers and lenders alike, especially when comparing financial products with different compounding structures.

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