Answer: higher.

A higher frequency of compounding leads to a higher effective rate of return. The effective rate of return with continuous compounding will, therefore, be greater than any effective rate of return with discrete compounding. **Detailed Explanation:** For a given stated annual rate of return (r): 1. **Discrete compounding formula:** Effective annual rate = (1 + r/m)^m - 1, where m is the number of compounding periods per year. 2. **Continuous compounding formula:** Effective annual rate = e^r - 1, where e is Euler's number (approximately 2.71828). 3. **Mathematical relationship:** As m increases (more frequent compounding), the effective rate increases. Continuous compounding represents the limit as m approaches infinity. 4. **Example:** For a stated annual rate of 10%: - Annual compounding (m=1): (1 + 0.10/1)^1 - 1 = 10.00% - Semiannual compounding (m=2): (1 + 0.10/2)^2 - 1 = 10.25% - Quarterly compounding (m=4): (1 + 0.10/4)^4 - 1 = 10.38% - Monthly compounding (m=12): (1 + 0.10/12)^12 - 1 = 10.47% - Continuous compounding: e^0.10 - 1 = 10.52% Continuous compounding always yields the highest effective rate for a given stated annual rate.

Author: LeetQuiz Editorial Team