The activity on Marny Zell's MasterCard account for one billing period is shown below. Find the average daily balance and the finance charge if the billing period is June 26 through July 25, the previous balance was $396.83, and the annual interest rate is 19.5%.June 30 payment $100.00July 2 gasoline $31.32July 10 restaurant $58.00
Question
The activity on Marny Zell's MasterCard account for one billing period is shown below. Find the average daily balance and the finance charge if the billing period is June 26 through July 25, the previous balance was 100.00July 2 gasoline 58.00
Solution
To find the average daily balance and the finance charge, follow these steps:
Step 1: Calculate the daily balances
- June 26 - June 30: $396.83 for 5 days
- June 30 - July 2: (100) = $296.83 for 2 days
- July 2 - July 10: (31.32) = $328.15 for 8 days
- July 10 - July 25: (58) = $386.15 for 15 days
Step 2: Calculate the sum of the daily balances
- (5 days * 296.83) + (8 days * 386.15)
Step 3: Divide the sum of the daily balances by the number of days in the billing period to get the average daily balance
- Sum of daily balances / 30 days
Step 4: Calculate the finance charge
- Average daily balance * (annual interest rate / 365 days) * number of days in the billing period
Let's calculate:
Step 1: Calculate the daily balances
- June 26 - June 30: $396.83 for 5 days
- June 30 - July 2: $296.83 for 2 days
- July 2 - July 10: $328.15 for 8 days
- July 10 - July 25: $386.15 for 15 days
Step 2: Calculate the sum of the daily balances
- (5 days * 296.83) + (8 days * 386.15) = 593.66 + 5792.25 = $10995.26
Step 3: Divide the sum of the daily balances by the number of days in the billing period to get the average daily balance
- 366.51
Step 4: Calculate the finance charge
- 5.94
So, the average daily balance is 5.94.
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