Ecuaciones De Valor A Interes Simple

I. ECUACIONES DE VALOR A INTERES SIMPLE

Tasa: 39% cap. Mensualmente

1)

X=25001+0.3912×3+80001+0.3912×3
X=2743.75+7289.29
X=10, 033.04

2) X
Tasa: 24% cap. Mensualmente30001+0.2412×2+ X1+0.2412×6+X=10,000
3120+X1.12+ X=10,000
2.12X=6880
X=3,245.28

3) Tasa: 21%



5001+0.21×112+ X1+0.21×312+X1+0.21×612+X1+0.21×912+X1+0.21×1512=3,000508.75+X1.0525+X1.105+X1.2625=3,000
X4.5775=2, 491.25
X=544.24

4)

X1+0.09 ×612=20,0001+0.105 ×312X1+0.09 ×1212=16,0001+0.105 ×412X1.045+X1.09=20,525+16,400
X2.135= 36,925
X=17, 295.08
a=17,295.081.045=18,073.35
b=17,295.081.09=18,851.64

II. ECUACIONES DE VALOR A INTERES COMPUESTO

1)
TASA: 18% cap. mensualmente

Hereda: 5,200

X1.008734593824=3500(1.007974140429)3+1500(1.009488792935)6
TASAS
i=1.11112- 1
X1.008734593824=3417.589314+ 1417.366774
i=0.008734593824
X1.008734593824=4,834.956088

a=4,793.101.008734593824=4,834.97
X=4,793.10
i=1.10112- 1i=0.007974140429

i=1.12112- 1
i=0.009488792935

HEREDA: 5,200
b) LE QUEDA: 365.03

2)

2001+0.18123+4001+0.18126+X=1,500
209.14+437.38+X=1,500
X=853.48
3) DEUDA: 12,000

TASA(1+i)12=1+0.1566
i=0.01242283657

4000(1.01242283657)6+4000(1.01242283657)12+4000(1.01242283657)18=30001+0.12126+40001+0.121210+ X
4307.56+4638.77+4995.45=3184.56+4418.49+X
13,941.78=7603.05+XX=6338.73

4) 13,941.78=X1.061520151+X1.104622125+X
13,941.78=X(3.166142276)
X=4,404.39

5)
1)
5=P(1.075)1
P=4.65
2) 7=P(1.075)2
P=6.06
3)8=P(1.075)3
P=6.06
P=17.15
n=log2017.15log(1.075)
n=2.13 años=2 años y 47 días

6) (1+i)12=1+ 0.1566
(1+i)12=1+ 0.1844

i=0.012422837
i=0.0147804616340000(1.01478046163)6+80000(0.012422837)18+100,0001+0.121236=100001+0.13512+700001+0.1351212+110,0001+0.1351224+ X
43681+99909.04+143, 076.88=10112.5+80057.21+143,879.03+X
286,666.92=234,048.74+X
52,618.18=X...