In a corporation that recognizes interest at 12% per year, compounded every 4 months, a Person saves Q15,000 today, Q8,000 in 2 years and Q9,000 in 7 and a half years. Prepare the time-value graph and indicate how much money you will have saved if you withdraw it everything within 8 years? Step by Step

Name: Solved: In a corporation that recognizes interest at 12% per year, compounded every 4 months, a Person saves Q15,000 today, Q8,000 in 2 years and Q9,000 in 7 and a half years. Prepare the time-value graph and indicate how much money you will have saved if you withdraw it everything within 8 years? Step by Step - MathMaster
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Answer to a math question In a corporation that recognizes interest at 12% per year, compounded every 4 months, a Person saves Q15,000 today, Q8,000 in 2 years and Q9,000 in 7 and a half years. Prepare the time-value graph and indicate how much money you will have saved if you withdraw it everything within 8 years? Step by Step

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107 Answers

1. Determine el interés trimestral:

i = \frac{0.12}{3} = 0.04

2. Calcule el valor futuro del primer ahorro (Q15,000 hoy):

FV_{1} = 15000(1+0.04)^{24}

FV_{1} = 15000(1.04)^{24}

FV_{1} \approx 15000 \times 2.563

FV_{1} \approx 38445

3. Calcule el valor futuro del segundo ahorro (Q8,000 dentro de 2 años):

FV_{2} = 8000(1+0.04)^{18}

FV_{2} = 8000(1.04)^{18}

FV_{2} \approx 8000 \times 2.025

FV_{2} \approx 16200

4. Calcule el valor futuro del tercer ahorro (Q9,000 dentro de 7 años y medio):

FV_{3} = 9000(1+0.04)^{1.5}

FV_{3} = 9000(1.04)^{1.5}

FV_{3} \approx 9000 \times 1.061

FV_{3} \approx 9549

5. Sume todos los valores futuros:

FV = FV_{1} + FV_{2} + FV_{3}

FV \approx 38445 + 16200 + 9549

FV \approx 64194

Dinero total ahorrado en 8 años:

\approx Q64,194

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