You take out a home loan for $197613. The interest on this loan is fixed at 7.4% compounded monthly for 30 years.

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How much is your required monthly mortgage payment?

Round your final answer to the nearest cent (2 decimal places)

Respuesta :

Answer:

$1368.23 (nearest cent)

Step-by-step explanation:

Monthly Payment Formula

[tex]\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}[/tex]

where:

  • PMT = monthly payment
  • P = loan amount
  • i = interest rate per month (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = $197,613
  • i = 7.4%/12 = 0.074/12
  • n = 30 × 12 = 360 months

Substitute the given values into the formula:

[tex]\implies \sf PMT=\dfrac{197613 \cdot \frac{0.074}{12}\left(1+\frac{0.074}{12}\right)^{360}}{\left(1+\frac{0.074}{12}\right)^{360}-1}[/tex]

[tex]\implies \sf PMT =1368.232494...[/tex]

Therefore, the monthly mortgage payment is $1368.23 (nearest cent).

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