213k views
0 votes
If Hannah’s credit card company calculates finance charges using the daily balance method, what will her April finance charge be?

1 Answer

2 votes

Hannah's finance charges using the daily balance method is $3.296

What is daily balance method?

Determine the daily periodic rate

Daily Periodic Rate = APR/365

Given an APR of 11.90%,

the daily periodic rate is

Daily Periodic Rate = 11.90/36500

Calculate the daily balances:

On 4/1, the balance is $322.95.

On 4/10, the balance is $322.95 + $19.87(purchase) = $342.82

On 4/14, a payment is made

$342.82 - $50.00 = 292.82.

On 4/19, purchase of $71.21

Balance = $292.82 + $71.21 = $364.03

Apply the daily periodic rate to each daily balance

On 4/1

Charges = 322.95 * 11.90/36500

= 0.105 * 9(days) = 0.945

On 4/10

Charges = 342.82 * 11.90/36500

= 0.112 * 4(days) = 0.448

0n 4/14

Charges = 292.82 * 11.90/36500

= 0.095 * 5(days) = 0.475

On 4/19

Charges = 364.03 * 11.90/36500

= 0.119 * 12(days) = 1.428

Sum of charges = 0.945 + 0.448 + 0.475 + 1.428

= $3.296

Hannah's finance charges using the daily balance method is $3.296

Complete question

Hannah has a credit card with an APR of 11.90% and a billing cycle of 30 days. The following table shows Hannah's transactions in the month of April.

Date

Amount ($)

Transaction

4/1

322.95

Beginning balance

4/10

19.87

Purchase

4/14

50.00

Payment

4/19

71.21

Purchase

If Hannah's credit card company calculates finance charges using the daily balance method, what will her April finance charge be?

User Olivier Delrieu
by
7.7k points