A nominal interest rate of 19.4% per year, compounded monthly, is equivalent to a continuous compounding rate of%

Interest of 19.4% per year compounded monthly means the interest rate per period is (19.4/12)%, and there are 12 periods per year:

Equivalent annual rate = (1+ \frac {0.194}{12})^{12}


Interest compounded continuously at an annual rate of i is e^i.

So - solve for i given: (1+ \frac {0.194}{12})^{12} = e^i