Cálculos financieros y operaciones matemáticas

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1ª)

A)

10.000= a * 1-(1.05)^-10/0,05 * (1,05)^-2
a= 10.000/7.003841206= 1427,78

B)

C4= 1427.78 * 1-(1.05)^-6/0,05 = 7246,97
a6= 7246,97*(1.05)^2=7989,79

2º)

a1= 1.000.000/1-(1,10)^-10/0,1= 162.745'39C4=162.745,39 * 1-(1,1)^-6/0,1= 708.798,60C5= 708.798,60-200.000= 579.677,46a2= 579.677,46/1-(1.1)^-5/0,1= 152.917,45

3º)

A) 2852,62= A1 (1,05)^3-1/0,05
A1 =2852,62/3,1525= 904,88
CO= 904,88 * 1-(1,05)^-3/0,05=5000

B)

5000= a *( A-5-0,05 )5000= 4,329476671aa= 5000/ 4,329476671 = 1154,88

C)

A3= 904,88 (1.05)^2= 997,63

I3 = 1154,88 - 997,63 = 157,25

D)

C2= 1154,88 * 1-(1,05)^-3/0,05= 3145.02

5º)


A)

A=8000/20= 400

B)

C2= 8000-(400*4)=6400

C)

A5=660-(4*400*0,0325)=608

a1= 400+260=660

D)

I1= 8000 *0.0325=260

I20=260-(20-1)*400*0.0325=13

7º)

A) 50.000= a * 1-(1,005654145)^-120
a=575.02B) C5=575.02*1-(1.005654145)^-90=40.472,59C) A1= 50.000/ (1,005654145)^120-1/0,005654145=292.31A54= 292,31 * (1,005654145)^53=394.11
D) I31=575,02-348.14=226.88
A31=292.31*(1.005654145)^31=348.14

8º)

A)

5000= a*1-(1.09)^-6/0.09=1114,60A1= 1114,60-(5000*0.09)=664.60

B)

C5=a*A n-s iC5=1114,60*1-(1.09)^-5/0.09=4335,41C) M6= 664,60*(1.09)^2-1/0.09=1389.01

D)

A8= 664,60*(1,09)^3=860.68I8=1114.60-860.68=253.92

4º)


a1=1042,17/6,1445567106=169,61
a5=169,61+(4*20)=249,61
a6=249,61+20=269,61
A1=169.61-(1500*0.1)=19.61
C4=249.61*1-(1.1)^-6/0.1 + 20*1-(1,1)^-6/0.1/0.1 - 6*20/0.1(1.1)^6
C4=1087,12+871.05-677.37=1280.80
A5=a5-I5=249.51 - (1280.80*0.1) = 121.51
C5= C4-A5= 1280.8-121.51=1159.29
M5=1500-1159.27=340.73
I5= 1280.80*0,1=128.08

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