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Calculate the Banking, commercial and real amount of a promissory note with an initial value of $5,500,000, issued on Sept... 15/23 at a rate of 23%, maturing on March 27/2024

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Answer to a math question Calculate the Banking, commercial and real amount of a promissory note with an initial value of $5,500,000, issued on Sept... 15/23 at a rate of 23%, maturing on March 27/2024

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Jayne
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104 Answers
Para calcular el monto bancario, comercial y real de un pagare, primero necesitamos conocer la fórmula de cada uno de ellos:

1. Monto Bancario (MB):
MB = \dfrac{VP \times (1 + r \times n)}{10}
Donde:
- VP es el valor inicial del pagaré
- r es la tasa de interés
- n es el plazo en meses

2. Monto Comercial (MC):
MC = \dfrac{VP \times (1 + r \times n)}{10 - r \times n}

3. Monto Real (MR):
MR = \dfrac{VP}{1 - r \times n}

Dado que el valor inicial del pagaré (VP) es $5,500,000, la tasa de interés (r) es 23%, el plazo en meses (n) es 30 (de septiembre 15/23 a marzo 27/24).

Vamos a calcular cada uno de los montos:

1. Monto Bancario (MB):
MB = \dfrac{5,500,000 \times (1 + 0.23 \times 30)}{10} = \dfrac{5,500,000 \times (1 + 6.9)}{10} = \dfrac{5,500,000 \times 7.9}{10} = 4,345,000

2. Monto Comercial (MC):
MC = \dfrac{5,500,000 \times (1 + 0.23 \times 30)}{10 - 0.23 \times 30} = \dfrac{5,500,000 \times 7.9}{10 - 6.9} = \dfrac{5,500,000 \times 7.9}{3.1} = 14,190,322.58

3. Monto Real (MR):
MR = \dfrac{5,500,000}{1 - 0.23 \times 30} = \dfrac{5,500,000}{1 - 6.9} = \dfrac{5,500,000}{-5.9} = -932,203.39

Entonces, el Monto Bancario es $4,345,000, el Monto Comercial es $14,190,322.58, y el Monto Real es -$932,203.39.

\boxed{\text{Respuesta: Monto Bancario = $4,345,000, Monto Comercial = $14,190,322.58, Monto Real = -$932,203.39}}

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