What are the monthly payments on a $950,000 mortgage at 4.8% interest for 15 years?

Prepare for the Statistics, Modeling and Finance Exam. Leverage flashcards and multiple choice questions with detailed explanations. Achieve exam success!

To determine the monthly payments on a mortgage, we can use the formula for the monthly payment on an amortizing loan, which is:

[

M = P \frac{r(1 + r)^n}{(1 + r)^n - 1}

]

where:

  • (M) is the total monthly mortgage payment,

  • (P) is the principal loan amount,

  • (r) is the monthly interest rate (annual rate divided by 12),

  • (n) is the number of payments (loan term in months).

For this scenario:

  • The principal (P) is $950,000.

  • The annual interest rate is 4.8%, so the monthly interest rate (r) would be (0.048 / 12 = 0.004).

  • The loan term of 15 years translates to (n = 15 \times 12 = 180) months.

Substituting these values into the formula, we get:

[

M = 950000 \cdot \frac{0.004(1 + 0.004)^{180}}{(1 + 0.004)^{180} - 1}

]

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