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For the installment loan, use the installment payment formula to determine the monthly payment. Amount...

For the installment loan, use the installment payment formula to determine the monthly payment.
Amount Financed (P) | Annual Percentage Rate (r) | Number of Payments per Year (n) | Time in Years (t)
$14,000 | 5.5% | 12 | 4
The monthly payment is $_____.
(Round to the nearest cent as needed.)

Answer

To find the monthly payment, use the formula for an installment loan:

M = P * (r/n) / (1 - (1 + r/n)^(-nt))

Where:

  • P = $14,000
  • r = 5.5% = 0.055
  • n = 12
  • t = 4

Substitute the values into the formula:

M = 14000 * (0.055/12) / (1 - (1 + 0.055/12)^(-12*4))

Calculate:

M = 14000 * 0.004583333 / (1 - (1.004583333)^(-48))

M = 14000 * 0.004583333 / (1 - 0.807)

M = 14000 * 0.004583333 / 0.193

M ≈ 326.93

The monthly payment is $326.93.

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