Math Problem Statement

The price of a condominium is $96,000. The bank requires a 5% down payment and one point at the time of closing. The cost of the condominium is financed with a 30-year fixed-rate mortgage at 9.5%.

Solution

The question asks for the required down payment on a condominium priced at $96,000, with a 5% down payment required by the bank.

To calculate the down payment, use the formula:

Down Payment=Price×Down Payment Percentage\text{Down Payment} = \text{Price} \times \text{Down Payment Percentage}

In this case:

Down Payment=96,000×0.05\text{Down Payment} = 96,000 \times 0.05

I'll calculate that now.The required down payment for the condominium is $4,800.

Would you like to proceed with further parts of the question or require more details on this calculation?

Here are some related questions you might consider:

  1. How do you calculate the loan amount after the down payment?
  2. How does a 30-year mortgage affect monthly payments?
  3. How is the interest portion of a mortgage payment calculated?
  4. What is the total cost of the loan over 30 years?
  5. How would changing the interest rate affect monthly payments?

Tip: Always confirm whether there are additional fees (like closing costs) when calculating the total amount needed for a home purchase.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculation
Mortgage Calculation
Algebra

Formulas

Down Payment = Price × Down Payment Percentage
Mortgage Payment (PMT) = P × (r/n) / (1 - (1 + r/n)^(-nt))

Theorems

Loan Amortization Formula

Suitable Grade Level

Grades 9-12