sexp


a.
Rn = R1 + (n-1)
R12 = 6000 + (12-1) (-800)
R12 = 6000 + (11) (-800)
R12 = - 2800
b.

VF = R [(1 + i) ^ (n) – 1 / i ] + L/ i [( 1+ i ) ^ (n) – 1 / i ) – n]
VF = 6000[(1,03) ^ (12) -1] –800/0,03 [(1,03) ^ (12) – 1 / 0,03) – 12]
VF = 85 152,17737 – 26 666,66667[2,192029562]
VF = 85 152,17737 – 58 454,12166
VF = 26 698,05571







VP = R [(1 – ( 1 + i )^(-n) ] + L/ i [( 1– ( 1+ i ) ^ (-n) / i ) – n ( 1+i )^(-n)]
VP = 5000[(1-(1,04)^(-15) / 0,04] – 400/0,04[(1-(1,04)^(-15) / 0,04) – 15(1,04)^(-15)
VP = 55 591,93716 – 10 000[2,789419889]
VP = 55 591,93716 – 27894,19884
VP = 27 697,73827




VF = R [(1 + i) ^ (n) – 1 / i] + L/ i [(1+ i) ^ (n) – 1 / i) – n]
VF = 6000[(1,1) ^ (8) – 1 / 0,1] – 1500/0,1[(1,1) ^ (8) – 1 / 0,1) – 8]
VF = 68 615,3286 –15000[3,4358881]
VF = 68 615,3286 – 51538,3215
VF = 17 077,0071






X = R[ ((1+i)^n – 1 / 0,3) (1+i) ^ n ] + [ R( (1+i) ^ n – 1 / i ) + L/i [(1+i) ^ n – 1 / i] – n ] + [R(1-(1+i)^-n / i ) + L/i [(1 –(1+i)^-n) – (n/(1+i)^n ]
X = 80[((1,3) ^ (3) – 1 / 0,3)(1,3) ^ (2)] + [100((1,3)^(2) – 1 / 0,3) + 20/0,3((1,3)^(2) – 1 /0,3) – 2] + [140(1 – (1,3)^(-5) / 0,3 ) + 20/0,3( 1- (1,3)^(-5) /0,3 –5/(1,3)^(5)]
X = 539,448 + 20 + 340,9797653 + 72,59501434
X = 1203,02278






100 ( 1 – (1,2)^(-4) / 0,2 ) + 40/0,2 ( (1-(1,2)^(-4) / 0,2 ) – 4(1,2)^(-4) ) + X(1,2)^(-6) + 500(1,2)^(-14) = ( 100((1,5)^(5) (1,2)^(-5) – 1 ) / (0,5-0,2) ) (1,2)^(-7)
258,8734568 + 131,9444444 + X(1,2)^(-6) + 38,94328291 = 190,8693167
X(1,2)^(-6) = 190,8693167 – 429,7611953
X(1,2)^(-6) = -238,8918786
X =-238,8918786 / (1,2) ^(-6)
X = - 713,3273272



I= 25% 4882,81
G= 25% 3906,253125
2500
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