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Mr. Jiménez requested a personal loan from Banca Progreso for $85,000. The credit was will pay in 36 biweekly installments of $2,782.79. Calculate the annual nominal interest rate that Mr. Jiménez pays for the credit

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Answer to a math question Mr. Jiménez requested a personal loan from Banca Progreso for $85,000. The credit was will pay in 36 biweekly installments of $2,782.79. Calculate the annual nominal interest rate that Mr. Jiménez pays for the credit

Expert avatar
Hank
4.8
106 Answers
El monto del préstamo es de $85,000.
El señor Jiménez va a realizar 36 abonos quincenales de $2,782.79 cada uno.

La tasa de interés nominal anual se puede calcular usando la siguiente fórmula:

Interés = Abono \times Numero\:de\:abonos - Monto

Donde:
- Interes es el total de los intereses pagados por el señor Jiménez.
- Abono es el monto de cada abono quincenal.
- Numero\:de\:abonos es la cantidad total de abonos realizados por el señor Jiménez.
- Monto es el monto total prestado.

Sustituyendo los valores conocidos:

Interés = 2782.79 \times 36 - 85000 = 10018.44

La tasa de interés nominal anual se puede calcular de la siguiente manera:

Tasa = \dfrac{Interés}{Monto} \times \dfrac{52}{36} \times 100

Sustituyendo los valores conocidos y el interés calculado anteriormente:

Tasa = \dfrac{10018.44}{85000} \times \dfrac{52}{36} \times 100 \approx 8.45\%

Entonces, la tasa de interés nominal anual que paga el señor Jiménez por el crédito es de aproximadamente 8.45\% .

$\boxed{8.45\%}$

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