Problem 6-22 Calculating EAR [LO4] Friendly’s Quick Loans, Inc., offers you “$3.
ID: 2737302 • Letter: P
Question
Problem 6-22 Calculating EAR [LO4] Friendly’s Quick Loans, Inc., offers you “$3.30 for $4.30 or I knock on your door.” This means you get $3.30 today and repay $4.30 when you get your paycheck in one week (or else). If you were brave enough to ask, what APR would Friendly’s say you were paying? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) APR % What’s the effective annual return Friendly’s earns on this lending business? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) EAR %
Explanation / Answer
Interest paid for one week for a $ 3.30 loan= 4.30-3.3= $ 1 So, for 52 weeks APR=1/3.30/1*52*100 1575.758 APR for the Borrower= 1575.76% Effective annual return Friendly’s earns on this lending business= EAR =[1 + (15.7576 )] – 1 1575.76%