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Bruce is considering purchasing a car for $10,000. He is thinking about using his savings to make a 20% down payment and then financing the difference over a 4-year loan. If he doesn’t make the down payment, he’ll qualify for an interest rate of 8.0%. If he makes the down payment, he’ll qualify for an interest rate of 7.0%. Use the amortization table provided to complete the statement. Round to the nearest cent, if necessary.

User Niken
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Bruce should make a 20% down payment of $2,000 and finance the remaining $8,000 over 4 years at a 7.0% interest rate for the most cost-effective option.

To determine the most cost-effective option for Bruce, we need to compare the total costs of financing the car with and without a 20% down payment.

Option 1: No Down Payment

Loan Amount: $10,000

Interest Rate: 8.0%

Loan Term: 4 years

Using the amortization table, we find that the monthly payment is $239.24, and the total cost over the loan term is $11,501.76.

Option 2: 20% Down Payment

Down Payment: $2,000

Loan Amount: $8,000

Interest Rate: 7.0%

Loan Term: 4 years

With the down payment, the monthly payment is $194.66, and the total cost over the loan term is $9,355.84.

Comparing the two options, the option with the down payment results in a lower total cost, making it the more cost-effective choice for Bruce. By opting for the 20% down payment, Bruce not only reduces the principal amount but also secures a lower interest rate, leading to overall savings.

Complete question should be:

Should Bruce make a 20% down payment of $2,000 on a $10,000 car, financing the remaining $8,000 over 4 years at a 7.0% interest rate, or opt for no down payment, financing the full $10,000 at an 8.0% interest rate? Use the provided amortization table to determine the cost-effective option.

User Ojek
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