Ejercicios de matemáticas financieras

Ejercicios de matemáticas financieras

[pic 1]

8. La participación aumentó 30.9 puntos porcentuales

9. Debido a que es simple, el cálculo es sencillo: 9.68%/4 = 2.42%

10. Debido a que es simple, el cálculo es sencillo: 3%(3) = 9%[pic 2]

13. Para los bimestres: 14/2 = 7

Para el interés por bimestre = 420,000(0.0144) = $6048

Cantidad de intereses totales = 6048(7) = $42,336

Cantidad total recibida = $462,336

14.  Interés mensual = 6.31%/12 = 0.526%

I = P*n*i

I = 738.50*3*0.00526

I = 11.65

Cantidad a devolver = 738.50 + 11.65 = $750.15 dólares

15. Interés mensual: 14%/12 = 1.166%

I = P*n*i

I = 140000*1*0.01166 = $1632.4 de interés mensual

16. Cálculo de enganche: 6715(0.15) = 1007.25

Saldo: 6715 – 1007.25 = $5707.75

Interés mensual: 23%/6 = 3.833%

I = P*n*t

I = 5707.75*8*0.03833 = $1750.3766

A pagar = $5707.75 + 1750.3766 = $7458.1266

[pic 3]

18. F = $48150

Interés del periodo: 2.25%(15) = 33.75%

F = P(1+i)^n

 F/(1+i)^n = P

P = 48150/(1+0.3375)^1

P = $36,000

19. C = I/n*i

C = $3000/(3/12)(0.10) = $120000

20. F = P(1+i)^n

F/(1+i)^n = P

Tasa interés anual = 12%

134400/(1+0.12)^1 = $120000

21. Interés bimestral = 0.637%(2) = 1.274%

P = I/n*i

P = 2586.22/(1*0.01274) = $203000

22. P = I/n*i

i = I/P*n

i = 20/800*5

i = 0.5% mensual

i = (0.5%)(12) = 6% anual

23. M = C(1+i*n)

M = 3C

3C = C(1+i*n)

3 = 1+(i*n)

3 – 1 = i*n

n = 8 años

2 = 8i

i = 25% anual

24. M = C(1+i*n)

2,925,000 = 2,500,000(1+i*n)

1.17 = 1+(i*n)

0.17 = i*n

n = 1 año

i = 0.17 = 17% anual[pic 4]

25. M = C(1+in)

M/C – 1 = i*n

M = 70000 + 15000 = 85000

(85000/70000)-1 = i*n

0.2143*n = i

n = 8 meses

i = 0.2143/8 = 0.0268 = 2.68%

i mensual = 2.68%

i a 8 meses = 21.44%

i anual = 32.16%

26. I = C*i*n

C = 7000

i = 4.45% mensual

I = 2492

n =2492/(7000*0.0445) = 8 meses 

27. M = C(1+i*n)

i = 3.4% anual

Duplicar el capital: M = 2C

2C = C(1+i*n)

2 = 1 + (i*n)

1 = i*n

n = 1/0.034 = 29.41 años

[pic 5]

29.

 700,000(0.75) = $525,000

25% corresponde a $175,000

$525,000

2% trimestral = 0.666% mensual

Interés mensual = $525,000(0.00666) = $3496.5

$125,000

3.5% semestral = 0.5833% mensual

Interés mensual= $125,000(0.005833) = $729.125

Intereses mensuales completos = $3496.5 + $729.125 = $4225.625

30. i banco 1 = 7.32% anual = 0.61% mensual

i banco 2 = 2.32% cuatrimestral = 0.58% mensual

P = inversión banco 1

20,000 – P = inversión banco 2

I = $120 = i banco 1 + i banco 2

120 = ibanco 1 + i banco 2

120 = P1(i*n) + P2(i*n)

120 = P1(0.0061)(1) + (20,000-P)(0.0058)(1)

120 = 0.0061P + 116 – 0.0058P

120 – 116 = 0.0003P

4/0.0003 = P

P = $13,333.33 para el primer banco

20,000 - $13,333.33 = $6,666.67 para el segundo banco

31. i1 = 10% semestral = 5% trimestral

I2 = 1.5% mensual = 4.5% trimestral

P = inversión 1

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