Nominal to Nominal

Given an interest rate with one type of compounding frequency we can convert this to the equivalent with a different type of compounding frequency.

Monthly compounding to Semi-Annual compounding

What is the semi-annual compounded interest rate that is equivalent to a 10% monthly compounded interest rate.

Semi-Annual compounding to Monthly compounding

What is the monthly compounded interest rate that is equivalent to a 10% semi-annual compounded interest rate.