Problem:
Ali Loan Inc. is a pay-day loan company that is offering two alternate loan schemes for the possible borrowers. In a monthly compounding loan plan, you can borrow $100 today while you have to repay $105 at the end of the month. In a weekly compounding loan plan, you can borrow $100 today while you have to repay $101 a week-after.
Required:
Question 1: Calculate the APR and the EAR for both the plans.
Question 2: Which plan you should choose?
Note: Please provide through step by step calculations.