It seems counter-intuitive, but when I try to solve for monthly payments on this problem, the payments are lower for the annuity that is compounded monthly.
Problem:
A debt of $25,000 is to be amortized over 7 years at an annual interest rate of 7%. Calculate the value of monthly payments (a) if interest is compounded once a year, and (b) if interest is compounded monthly.
I get $386.57 as the monthly payment for the annually compounded debt and $377.32 for the monthly payments for the debt compounded monthly.