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Mike starts with $1299.99 and and APR of 18% and makes no new purchases. The minimum payment is always 7%. What will months 1, 2, 3, and 4 carry over balance, finance charge, new balance, and minimum payment?

User SOA Nerd
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1 Answer

5 votes

Final Answer:

1. Month 1:

  • Carry Over Balance: $90.99
  • Finance Charge: $18.00
  • New Balance: $1,308.99
  • Minimum Payment: $91.62

2. Month 2:

  • Carry Over Balance: $82.54
  • Finance Charge: $16.60
  • New Balance: $1,308.14
  • Minimum Payment: $91.57

3. Month 3:

  • Carry Over Balance: $74.01
  • Finance Charge: $14.80
  • New Balance: $1,297.81
  • Minimum Payment: $90.85

4. Month 4:

  • Carry Over Balance: $65.41
  • Finance Charge: $13.08
  • New Balance: $1,276.49
  • Minimum Payment: $89.35

Step-by-step explanation:

Certainly, let's break down the calculations for each month:

1. Month 1:

  • Carry Over Balance: $1299.99
  • Finance Charge:** $1299.99 * (18% / 12) = $18.00 (Monthly interest calculation)
  • New Balance: $1299.99 + $18.00 = $1,317.99
  • Minimum Payment: $1,317.99 * 7% = $91.62 (Minimum payment as 7% of the new balance)
  • Carry Over for Month 2: $1,317.99 - $91.62 = $1,226.37

2. Month 2:

  • Carry Over Balance: $1,226.37
  • Finance Charge: $1,226.37 * (18% / 12) = $16.60
  • New Balance:$1,226.37 + $16.60 = $1,242.97
  • Minimum Payment: $1,242.97 * 7% = $91.57
  • Carry Over for Month 3: $1,226.37 - $91.57 = $1,134.80

3. Month 3:

  • Carry Over Balance: $1,134.80
  • Finance Charge: $1,134.80 * (18% / 12) = $14.80
  • New Balance: $1,134.80 + $14.80 = $1,149.60
  • Minimum Payment:$1,149.60 * 7% = $90.85
  • Carry Over for Month 4: $1,134.80 - $90.85 = $1,043.95

4. Month 4:

  • Carry Over Balance: $1,043.95
  • Finance Charge: $1,043.95 * (18% / 12) = $13.08
  • New Balance: $1,043.95 + $13.08 = $1,057.03
  • Minimum Payment: $1,057.03 * 7% = $89.35

These calculations follow the given scenario of a starting balance, monthly interest rate, and minimum payment percentage. Each month, the finance charge is calculated based on the carry-over balance, and the new balance is determined by adding the finance charge to the previous carry-over balance. The minimum payment is then computed as 7% of the new balance, and the process rep

User Sachin Rasane
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