Use the unpaid balance method to calculate the finance charge on Joanna's credit account if last month's balance was $1,350, she made a payment of $375, she bought hiking boots for $120, and she returned a jacket for $140. Assume an annual interest rate of 21%.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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**Problem 16: Calculating Finance Charges using Unpaid Balance Method**

Calculate the finance charge on Joanna’s credit account using the unpaid balance method given the following information:
- Last month's balance: $1,350
- Payment made: $375
- Purchase of hiking boots: $120
- Return of a jacket: $140
- Annual interest rate: 21%

**Steps to Solve:**

1. **Determine the Unpaid Balance:**
   - Start with last month's balance: $1,350
   - Subtract the payment made: $1,350 - $375 = $975
   - Add the new purchase of hiking boots: $975 + $120 = $1,095
   - Subtract the return of the jacket: $1,095 - $140 = $955

2. **Calculate the Monthly Interest Rate:**
   - Convert the annual interest rate to a monthly rate: 21% / 12 = 1.75%

3. **Calculate the Finance Charge:**
   - Multiply the unpaid balance by the monthly interest rate: $955 * 1.75% = $955 * 0.0175 = $16.71

Therefore, the finance charge on Joanna’s credit account for this month is $16.71.
Transcribed Image Text:**Problem 16: Calculating Finance Charges using Unpaid Balance Method** Calculate the finance charge on Joanna’s credit account using the unpaid balance method given the following information: - Last month's balance: $1,350 - Payment made: $375 - Purchase of hiking boots: $120 - Return of a jacket: $140 - Annual interest rate: 21% **Steps to Solve:** 1. **Determine the Unpaid Balance:** - Start with last month's balance: $1,350 - Subtract the payment made: $1,350 - $375 = $975 - Add the new purchase of hiking boots: $975 + $120 = $1,095 - Subtract the return of the jacket: $1,095 - $140 = $955 2. **Calculate the Monthly Interest Rate:** - Convert the annual interest rate to a monthly rate: 21% / 12 = 1.75% 3. **Calculate the Finance Charge:** - Multiply the unpaid balance by the monthly interest rate: $955 * 1.75% = $955 * 0.0175 = $16.71 Therefore, the finance charge on Joanna’s credit account for this month is $16.71.
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