The interest rate that is quoted by a lender is referred to as which one of the following?

Question

BlackTom AI · Accepted Answer

The quoted interest rate by a lender is the stated interest rate (also called the nominal rate or APR).

1. Relevant knowledge points and concepts
- Stated interest rate (nominal rate/APR): the rate a lender advertises or writes in a contract; it does not by itself reflect the effect of intra-year compounding.
- Effective annual rate (EAR): the true annual rate that accounts for compounding within the year.
- Compound rate: not a standard term for the lender’s quoted rate; typically one would describe compounding frequency instead.
- Simple rate (simple interest): interest computed only on principal, without compounding.

2. Complete reasoning process step by step
- Lenders typically quote a nominal or “stated” rate (for example, “12% APR”) to describe the cost of borrowing.
- If compounding occurs more than once per year, the actual annual yield differs from the quoted (stated) rate; the EAR captures that difference.
- Therefore the phrase “the interest rate that is quoted by a lender” refers to the nominal or stated rate, not the effective annual rate or a special “compound rate.”

3. Calculation example (all intermediate steps)
- Suppose a lender quotes 12% stated rate compounded monthly.
- Monthly rate = 0.12 / 12 = 0.01.
- EAR = (1 + 0.01)^{12} − 1 = 1.01^{12} − 1 ≈ 1.126825 − 1 = 0.126825 → 12.6825%.
- The quoted (stated) rate = 12% while the effective annual rate ≈ 12.6825%, showing the quoted rate is the stated rate.

4. Why the correct answer is correct
- The lender’s advertised figure is the stated (nominal) interest rate; it’s the standard terminology for “quoted” rates.

5. Why other options are incorrect
- B. Compound rate: not the standard term for the advertised rate; compounding determines the EAR.
- C. Effective annual rate: this is the actual annual yield after compounding, not typically the quoted rate.
- D. Simple rate: refers to simple interest (no compounding) and is not the general term lenders use when quoting most loan rates.

6. Conclusion
The correct answer is A. stated interest rate, which matches the provided answer.

The interest rate that is quoted by a lender is referred to as which one of the following?单项选择题

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