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advanced-mathFor continuous compounding, which rate gives the highest return over 10 years?
A: 5% compounded quarterly B: 4.9% compounded continuously
A
Option B (continuous)
B
Option A (quarterly)
C
They are equal
D
Cannot determine
Correct Answer: B
Choice B is the correct answer. Compare the effective annual rates.
- Option A: .
- Option B: .
- Comparison: , so Option A is better.
💡 Strategic Tip: Higher nominal rate doesn't always win—compounding frequency matters.
Choice A is incorrect because 5% quarterly actually beats 4.9% continuous. Choice C is incorrect because the results differ. Choice D is incorrect because we can calculate and compare.