You need to borrow some money to finance your business operations and a financial company, Debt Daddy Inc. (DD), offers you with a published interest rate of 5.5% APR compounded quarterly. You visited another company, No Mercy Inc. (NM) and you were offered an interest rate with monthly compounding.

What would be the APR monthly compounding rate No Mercy Inc. (NM) would charge so that the rate can be equally competitive, whether you borrow from DD or NM.

You heard that another company, Pure Greedy Inc. (PG) offers you an interest rate with semi-annual compounding compounding. Among all 3 companies, would you rather choose only PG as interest is compounded just 2 times a year? Please explain.

You only want to give business to PG. How would you negotiate with PG?