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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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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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
2. Calcule el valor futuro del primer ahorro (Q15,000 hoy):
3. Calcule el valor futuro del segundo ahorro (Q8,000 dentro de 2 años):
4. Calcule el valor futuro del tercer ahorro (Q9,000 dentro de 7 años y medio):
5. Sume todos los valores futuros:
Dinero total ahorrado en 8 años:
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