What's the best financing option for Mia's used trailer purchase?

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SUMMARY

Mia is purchasing a used trailer for $5000 and evaluating two financing options: a dealership credit card with a 15.8% interest rate, compounded daily, and a bank loan at 9.8%, compounded monthly. After calculating, the total payment with the dealership card amounts to approximately $6,300, with about $1,300 in interest, while the bank loan totals around $5,800, resulting in $800 in interest. The dealership option will take Mia approximately 32 months to pay off, whereas the bank loan will take about 27 months.

PREREQUISITES
  • Understanding of simple and compound interest calculations
  • Familiarity with loan amortization concepts
  • Basic knowledge of financial terms such as APR and rebate
  • Ability to use financial calculators or tools for payment estimations
NEXT STEPS
  • Research "compound interest calculations" for better financial decision-making
  • Learn about "loan amortization schedules" to understand payment breakdowns
  • Explore "credit card interest rates" and their impact on long-term debt
  • Investigate "personal loan options" for alternative financing solutions
USEFUL FOR

Individuals considering financing options for large purchases, financial advisors, and anyone looking to understand the implications of different loan structures.

kaye
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Mia is buying a used trailer for $5000 on credit. She plans to travel
through the Rockies over the summer. She can afford payments of
$200 each month and is considering these two options:

The dealership credit card at 15.8%, compounded daily, and
an immediate rebate of 2.4% off her first purchase

A bank loan at 9.8%, compounded monthly
a)
How much would Mia end up paying, in total, with each option?
b)
How much interest would she pay for each option?
c)
How long will it take her to pay off the balance for each option
 
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