taller n. 2 tasas de interes en word
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CENTRO DE DESARROLLO AGROEMPRESARIAL
GESTION LOGISTICA
180262
DIANA YICED FORERO CARRILLO MARIA ALEJANDRA PEÑA CONTRERAS
MARIANA ELOISA RICARDOS SANDRA MILENA RODRIGUEZ NIETO
CHIA JULIO DE 2011
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EFECTIVAS 1. Teniendo una tasa del I = 0,069 % Efectiva Diaria, hallar una tasa Nominal Semanal (J= ?% Nominal Semanal)
I = 0,069 % Efectiva Diaria J = ? % Nominal Semanal
(1 + i)n = (1 + )m
(1 +0,0006)360 = (1 + )48
(1 +0,0006)360/48 = (1 + )48/48
(1,0006)7,5 = 1 +
1,005 = 1 +
1,005 – 1 =
0,005 *48 = j J = 0,248 * 100
2. Teniendo una tasa del J = 16 % Nominal Semestral, hallar una tasa Efectiva Anual (I = ? % Efectiva Anual)
J = 16 % Nominal Semestral I = ? % Efectiva Anual
(1 + )m =(1 + i)n
(1 + )2 =(1 + i)1
(1 + )2/1 =(1 + i)1/1
(1 + 0,08)2 = 1 + I
1,166 = 1 + I
J = 24,895 % Nominal Semanal
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1,166 – 1 = I
I = 0,166 * 100
3. Teniendo una tasa del I = 0,501 % Efectiva Semanal, hallar una tasa Nominal Diaria (J = ? % Nominal Diaria)
I = 0,501 % Efectiva Semanal
J = ¿ % Nominal Diaria
(1 + i)n = (1 + )m
(1 + 0,005)48 = (1 + )360
(1 + 0,005)48/360 = (1 + )360/360
(1,005)0,133 = 1 +
1,000 = 1 +
1,000 – 1 =
0,0006 * 360 = j
J = 0,239 * 100
4. Teniendo una tasa del I = 1,973 % Efectiva Mensual, hallar una tasa Nominal Bimensual (j = ? % Nominal Bimensual) I = 1,973 % Efectiva Mensual J = ? % Nominal Bimensual
(1 + i)n = (1 + )m
I = 16,640 % EfectivaAnual
J = 23,996 % Nominal Diaria
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(1 + 0,019)12 = (1 + )24
(1 + 0,019)12/24 = (1 + )24/24
(1,019)0,5 = 1 +
1,009 = 1 +
1,009 – 1 =
0,009 * 24 = J J = 0,235 * 100 5. Teniendo una tasa del I = 4,085 % Efectivo Bimestral, hallar una tasa Nominal Diaria (j = ? % Nominal Diario) I = 4,085 % Efectiva Bimestral J = ? % Nominal Diaria
(1 + i)n = (1 + )m
(1 + 0,040)6 = (1 + )360
(1 + 0,040)6/360 = (1 + )360/360
(1,040)0,016 = 1 +
1,000 = 1 +
1,000 – 1 =
0,0006 * 360 = J J = 0,240 * 100
J=23.560 % Nominal Bimensual
J= 24,030 Nominal Diaria
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6. Teniendo una tasa del j = 22,221 % Nominal Semanal, hallar una tasa Efectiva Diaria (I = ? % Efectiva Diaria) j = 22,221 % Nominal Semanal I = ? % Efectiva Diaria
(1 + )m =(1 + i)n
(1 + )48 =(1 + i)360
(1 + )48/360 =(1 + i)360/360
(1 + 0,004)0,133 = 1 + I
(1,004)0,133 = 1 + I
1,000 = 1 + I
1,000 – 1 = I
I = 0,0006 * 100
7. Teniendo una tasa del j = 25,920 % Nominal Diaria, hallar una tasa Efectiva Mensual (I = ? % Efectiva Mensual) j = 25,920 % Nominal Diaria I = ? % Efectiva Mensual
(1 + )m =(1 + i)n
(1 + )360 =(1 + i)12
(1 + )360/12 =(1 + i)12/12
(1 + 0,0007)30 = 1 + I
(1,0007)30 = 1 + I
1,021 = 1 + I
1,021 – 1 = I
I = 0,061 % EfectivaDiaria
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I = 0,021 * 100
8. Teniendo una tasa del j = 24,492 % Nominal Bimensual, hallar una tasa Efectiva Annual (I = ? % Efectiva Anual) j = 24,492 % Nominal Bimensual I = ? % Efectiva Anual
(1 + )m =(1 + i)n
(1 + )24 =(1 + i)1
(1 + )24/1 =(1 + i)1/1
(1 + 0,010)24 = 1 + I
(1,010)24 = 1 + I
1,275 = 1 + I
1,275 – 1 = I
I = 0,275 * 100
9. Teniendo una tasa del j = 29,101 % Nominal Bimestral, hallar una tasa Efectiva Bimensual (I = ? % Efectiva Bimensual) j = 29,101 % Nominal Bimestral I = ? % Efectiva Bimensual
(1 + )m =(1 + i)n
(1 + )6 =(1 + i)24
(1 + )6/24 =(1 + i)24/24
(1 + 0,048)0,25 = 1 + I
(1,048)0,25 = 1 + I
1,011 = 1 + I
I = 2,183 % EfectivaMensual
I = 27,593 % EfectivaAnual
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1,011 – 1 = I
I = 0,011 * 100
10. Teniendo una tasa del I = 30 % Efectiva Annual, hallar una tasa Nominal Semanal (I = ? % Nominal Semanal) I = 30 % Efectiva Anual I = ? % Nominal Semanal
(1 + i)n = (1 + )m
(1 + 0,30)1 = (1 + )48
(1 + 0,30)1/48 = (1 + )48/48
(1,30)0,020 = 1 +
1,005 = 1 +
1,005 – 1 =
0,005 * 48 = J J = 0,263 * 100 11. Teniendo una tasa del I = 2,2 % Efectiva Mensual, hallar una tasa Nominal Semestral (j = ? % Nominal Semestral) I = 2,2 % Efectiva Mensual j = ? % Nominal Semestral
(1 + i)n = (1 + )m
(1 + 0,022)12 = (1 + )2
(1 + 0,022)12/2 = (1 + )2/2
I = 1,191 % EfectivaBimensual
J=26,308 % Nominal Semanal
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(1,022)6 = 1 +
1,139 = 1 +
1,139 – 1 =
0,139 * 2 = J J = 0,278 * 100 12. Teniendo una tasa del j = 27,720 % Nominal Diario, hallar una tasa Efectiva Diario (I = ? % Efectiva Diaria) j = 27,720 % Nominal Diario I = ? % Efectiva Diaria
(1 + )m =(1 + i)n
(1 + )360 =(1 + i)360
(1 + )360/360 =(1 + i)360/360
(1 + 0,0007)= 1 + I
1,0007 = 1 + I
1,0007 – 1 = I
I = 0,0007 * 100
13. Teniendo una tasa del j = 24,99 % Nominal Semestral, hallar una tasa Efectiva Bimestral (I = ? % Efectiva Bimestral) j = 24,99 % Nominal Semestral I = ? % Efectiva Bimestral
(1 + )m =(1 + i)n
(1 + )2 =(1 + i)6
I = 0,077 % EfectivaDiaria
J=27,895 % Nominal Semestral
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(1 + )2/6 =(1 + i)6/6
(1 + 0,124)0.333 = 1 + I
(1,124)0,333 = 1 + I
1,040 = 1 + I
1,040 – 1 = I
I = 0,040 * 100
14. Teniendo una tasa del J = 21,607 % Nominal Semestral, hallar una tasa Efectiva Bimensual (I = ? % efectiva Bimensual) J = 21,607 % Nominal Semestral I = ? % efectiva Bimensual
(1 + )m =(1 + i)n
(1 + )2 =(1 + i)24
(1 + )2/24 =(1 + i)24/24
(1 + 0,108)0.083 = 1 + I
(1,108)= 1 + I
1,008 = 1 + I
1,008 – 1 = I
I = 0,008 * 100
15. Teniendo una tasa del I = 29 % Efectiva Anual , hallar una tasa Nominal Diaria (J = ? % Nominal Diaria) I = 29 % Efectiva Anual J = ? % Nominal Diaria
(1 + i)n = (1 + )m
I = 4,003 % EfectivaBimestral
I = 0,859 % EfectivaBimensual
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(1 + 0,29)1 = (1 + )360
(1 + 0,29)1/360 = (1 + )360/360
(1,29)0.002 = 1 +
1,000 = 1 +
1,000 – 1 =
0,0007 * 360 = J J = 0,254 * 100 16. Teniendo una tasa del I = 1,11 % Efectiva Bimensual, hallar una tasa nominal Bimensual (J = ? Nominal Bimensual) I = 1,11 % Efectiva Bimensual J = ? Nominal Bimensual
(1 + i)n = (1 + )m
(1 + 0,011)24 = (1 + )24
(1 + 0,011)24/24= (1 + )24/24
1,011= 1 +
1,011 – 1 =
0,011 * 24 = J J = 0,266 * 100
17. Teniendo una tasa del J=28,638% Nominal Semestral, hallar una tasa Efectiva Mensual (I=?% Efectiva Mensual)
J=26,640 % Nominal Bimestral
J=25,473 % Nominal Diaria
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J=28,638% Nominal Semestral
I=?% Efectiva Mensual
(1+ )m = (1+i)n
(1+ ) 2 = (1+i) 12
(1+ ) 2/12 = (1+i)12/12
(1+ 0.166 = 1+i
1.022= 1+i
1.022-1=I
0.022*100=i
I=2.255% Efectiva Mensual
18. Teniendo una tasa del J=27,6% Nominal Mensual, hallar una tasa Efectiva
Semestral (I=?% Efectiva Semestral)
J=27,6% Nominal Mensual
I=?% Efectiva Semestral
(1+ )m = (1+i)n
(1+ ) 12 = (1+i) 2
(1+ ) 12/2 = (1+i)2/2
(1+ 6 = 1+i
1.146= 1+i
1.146-1=I
0.146*100=i
I=14.618% Efectiva Semestral
19. Teniendo una tasa del I=0,066% Efectiva Diaria , hallar una tasa Nominal Mensual (J=?% Nominal Mensual)
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I=0,066% Efectiva Diaria
J=?% Nominal Mensual
(1+i)n =(1+ )m
(1+0.00066)360 =(1+ )12
(1+0.00066)360/12 =(1+ )12/12
(1+0.00066)30 =1+
1.0199-1=
0.0199*12=j
0.239*100=j
J=23.988% Nominal Mensual
20. Teniendo una tasa del I=0,617% Efectiva Semanal , hallar una tasa Nominal Bimensual (J=?% Nominal Bimensual)
I=0,617% Efectiva Semanal
J=?% Nominal Bimensual
(1+i)n =(1+ )m
(1+0.00617)48 =(1+ )24
(1+0.00617)48/24 =(1+ )24/24
(1+0.00617)2=1+
1.0123-1=
0.0123*24=j
0.297*100=j
J=29.707% Nominal Bimensual
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21. Teniendo una tasa del J=31,104% Nominal Semanal , hallar una tasa Efectiva Anual (I=?% Efectiva Anual)
J=31,104% Nominal Semanal
I=?% Efectiva Anual
(1+ )m = (1+i)n
(1+ ) 48 = (1+i) 1
(1+ ) 48/1 = (1+i)1/1
(1+ 48 = 1+i
1.3634= 1+i
0.3634-1=I
0.3634*100=i
I=36.347% Efectiva Anual
22. Teniendo una tasa del I=1,563% Efectiva Mensual , hallar una tasa Nominal Bimestral (J=?% Nominal Bimestral)
I=1,563% Efectiva Mensual
J=?% Nominal Bimestral
(1+i)n =(1+ )m
(1+0.01563)12 =(1+ )6
(1+0.01563)12/6 =(1+ )6/6
(1+0.01563)2=1+
1.03150-1=
0.031504*6=j
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0.1890*100=j
J=18.902% Nominal bimestral
23 Teniendo una tasa del 21% Efectiva Anual hallar una tasa Nominal Mensual (J=?% Nominal Mensual)
I=21% Efectiva Anual
J=?% Nominal Mensual
(1+i)n =(1+ )m
(1+0.21)1 =(1+ )12
(1+0.21)1/12 =(1+ 12/12
(1+0.21)0.083=1+
1.0160-1=
0.0160*12=j
0.192*100=j
J=19.214% Nominal Mensual
24 Teniendo una tasa del J=18,998% Nominal Diario hallar una tasa Efectiva Bimensual (I=?%Efectiva Bimensual) J=18,998% Nominal Diaria I=?% Efectiva Bimensual
(1+ )m = (1+i)n
(1+ ) 360 = (1+i) 24
(1+ ) 360/24 = (1+i)24/24
(1+ 15 = 1+i
1.oo79= 1+i
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1.0079-1=I
7.945*100=i
I=0.794% Efectiva Bimensual
25. Teniendo una tasa del J=20,197% Nominal Bimensual hallar una tasa Efectivo Semanal (I=?% Efectivo Semanal)
J=20,197% Nominal Bimensual
I=?% Efectivo Semanal
(1+ )m = (1+i)n
(1+ ) 24 = (1+i) 48
(1+ )24/48 = (1+i)48/48
(1+ 0.5 = 1+i
1.0041= 1+i
1.0041-1=I
4.198*100=i
I=0.419% Efectiva Semanal
26. Teniendo una tasa del I= 3,729% Efectiva Bimestral hallar una tasa nominal
Mensual (J=?% Nominal Mensual)
I=3,729% Efectiva Bimestral
J=?% Nominal Mensual
(1+i)n =(1+ )m
(1+0.03729)6 =(1+ )12
(1+0.03729)6/12 =(1+ 12/12
(1+0.03729) =1+
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1.018-1=
0.018*12=j
0.221*100=j
J=22.169% Nominal Mensual
27 Teniendo una tasa del I=14,545% Efectiva Semestral hallar una tasa Nominal Diaria (J=?% Nominal Diaria)
I=14,545% Efectiva Semestral
J=?% Nominal Diaria
(1+i)n =(1+ )m
(1+0.14545)2 =(1+ )360
(1+0.14545)2/360 =(1+ )360/360
(1+0.14545)0.005=1+
1.0007-1=
7.547*360=j
0.271*100=j
J=27.169% Nominal Diaria
28. Teniendo una tasa del J=24,607% Nominal Mensual hallar una tasa Efectiva Bimestral ( I=?% Efectiva Bimestral)
J=24,607% Nominal Mensual
I=?% Efectiva Bimestral
(1+ )m = (1+i)n
(1+ ) 12 = (1+i) 6
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(1+ )12/6 = (1+i)6/6
(1+ 2 = 1+i
1.041= 1+i
1.041-1=I
0.041*100=i
I=4.143% Efectiva Bimestral
29. Teniendo una tasa del I=1,767% Efectivo Mensual hallar una tasa Nominal Semanal (J=%? Nominal Semanal)
I=1,767% Efectivo Mensual
J=%? Nominal Semanal
(1+i)n =(1+ )m
(1+0.01767)12 =(1+ )48
(1+0.01767)12/48 =(1+ )48/48
(1+0.01767)0.25=1+
1.004-1=
4.388*48=j
0.210*100=j
J=21.064% Nominal Semanal
30. teniendo una tasa del J=25,496% Nominal Diaria hallar una tasa Efectiva Semanal( I=?% Efectiva Semanal)
J=25,496% Nominal Diaria
I=?% Efectiva Semanal
(1+ )m = (1+i)n
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(1+ ) 360 = (1+i) 48
(1+ )360/48 = (1+i)48/48
(1+ 7.5 = 1+i
1.005= 1+i
1.005-1=I
5.323*100=i
I=0.532% Efectiva Semanal
31. Teniendo una tasa del J= 21,812% Nominal Bimestral hallar una tasa Efectiva Anual (I=?% Efectiva Anual) J= 21,812% Nominal Bimestral
I=?% Efectiva Anual
(1+ )m = (1+i)n
(1+ ) 6 = (1+i) 1
(1+ )6/1= (1+i)1/1
(1+ 6 = 1+i
1.238= 1+i
1.238-1=I
0.238*100=i
I=23.893% Efectiva Anual
32. Teniendo una tasa del J= 23,117% Nominal Semestral hallar una tasa Efectiva Anual (I=?% Efectivo Anual)
J= 23,117% Nominal Semestral
I=?% Efectivo Anual
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(1+ )m = (1+i)n
(1+ ) 2 = (1+i) 1
(1+ )2/1= (1+i)1/1
(1+ 2 = 1+i
1.244= 1+i
1.244-1=I
0.244*100=i
I=24.452% Efectiva Anual
33. Teniendo una tasa del I=31,476% Efectiva Anual , hallar una tasa Nominal Bimestral (J=?% Nominal Bimestral)
I= 31,476% Efectiva Anual J= ?% Nominal Bimestral
(1 + i)n = (1 + )m
(1 + 0,314)1= (1 + )6
(1 + 0.314)1/6 = (1 + )6/6
(1,314)0,166 = 1 +
1,046-1=
0,046*6=J J=0,279*100
34. Teniendo una tasa del I=2,307% Efectiva Mensual, hallar una tasa Nominal
Mensual (J=?% Nominal Mensual)
J=27,999 % Nominal Bimestral
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I= 2,307% Efectiva Mensual J= ?% Nominal Mensual
(1 + i)n = (1 + )m
(1 + 0,023)12= (1 + )12
(1 + 0.314)12/12 = (1 + )12/12
(1,023)1 = 1 +
1,023-1=
0,023*12=J J=0,276*100
35. Teniendo una tasa del J=0,075% Nominal Diaria, hallar una tasa Efectiva Bimestral (I=?% Efectiva Bimestral) j=0,075% Nominal Diaria I= ?% Efectiva Bimestral
(1 + )m =(1 + i)n
(1 + )360 =(1 + i)6
(1 + )360/6 =(1 + i)6/6
(1 + 0,000001)60 = 1 + I
1,0001 = 1 + I
1,0001 – 1 = I
I = 0,0001 * 100
J= 27.684% Nominal Mensual
I=0.0125% Efectiva Bimestral
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36. Teniendo una tasa del J=32,379% Nominal Semestral, hallar una tasa Efectiva Semanal (I=?% Efectiva Semanal)
J=32,379% Nominal Semestral I= ?% Efectiva Semanal
(1 + )m =(1 + i)n
(1 + )2 =(1 + i)48
(1 + )2/48 =(1 + i)48/48
(1 + 0,161)0.0416 = 1 + I
1,006 = 1 + I
1,006 – 1 = I
I = 0,006 * 100
37. Teniendo una tasa del I=0,087% Efectiva Diaria , hallar una tasa Nominal Bimensual (J=?% Nominal Bimensual)
I= 0,087% Efectiva Diaria J= ?% Nominal Bimensual
(1 + i)n = (1 + )m
(1 + 0,0008)360= (1 + )24
(1 + 0.0008)360/24 = (1 + )24/24
(1,0008)15 = 1 +
1,013-1=
0,013*24=J J=0,315*100
I=0.627% Efectiva Semanal
J=31,511 % Nominal Bimensual
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38. Teniendo una tasa del I=0,090% Efectiva Diaria , hallar una tasa Nominal Bimestral (J=?% Nominal Bimestral)
I= 0,090% Efectiva Diaria J= ?% Nominal Bimestral
(1 + i)n = (1 + )m
(1 + 0,0009)360= (1 + )6
(1 + 0.0009)360/6 = (1 + )6/6
(1,0008)60 = 1 +
1,055-1=
0,055*6=J J=0,332*100
39. Teniendo una tasa del J=32,479% Nominal Semestral, hallar una tasa Efectiva Semestral (I=?% Efectiva Semestral)
J=32,479% Nominal Semestral I=?% Efectiva Semestral
(1 + )m =(1 + i)n
(1 + )2 =(1 + i)2
(1 + )2/2 =(1 + i)2/2
(1 + 0,162)1 = 1 + I
J=33,275 % Nominal Bimestral
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1,116 = 1 + I
1,116 – 1 = I
I = 0,162 * 100
40. Teniendo una tasa del J=22,418% Nominal Bimensual , hallar una tasa Efectiva Semestral (I=?% Efectiva Semestral)
(1 + )m =(1 + i)n
(1 + )24 =(1 + i)2
(1 + )24/2 =(1 + i)2/2
(1 + 0,009)12 = 1 + I
1,118 = 1 + I
1,118 – 1 = I
I = 0,118 * 100
41. Teniendo una tasa del J=28,641% Nominal Bimestral , hallar una tasa Efectiva Bimestral (I=?% Efectiva Bimestral) J=28,641% Nominal Bimestral I=?% Efectiva Bimestral
(1 + )m =(1 + i)n
(1 + )6 =(1 + i)6
(1 + )6/6 =(1 + i)6/6
(1 + 0,047)1 = 1 + I
1,047 = 1 + I
I=11,803% Efectiva Semestral
I=16,239% Efectiva Semestral
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1,047 – 1 = I
I = 0,047 * 100
42. Teniendo una tasa del J=32,173% Nominal Semanal , hallar una tasa Efectiva Mensual (I=?% Efectiva Mensual)
J=32,173% Nominal Semanal I=?% Efectiva Mensual
(1 + )m =(1 + i)n
(1 + )48 =(1 + i)12
(1 + )48/12 =(1 + i)12/12
(1 + 0,006)4 = 1 + I
1,027 = 1 + I
1,027 – 1 = I
I = 0,027 * 100
43. Teniendo una tasa del I=8,722% Efectiva Semestral , hallar una tasa Nominal Mensual (J=?% Nominal Mensual) I=8,722% Efectiva Semestral J=?% Nominal Mensual
(1 + i)n = (1 + )m
(1 + 0,087)2= (1 + )12
(1 + 0.087)2/12 = (1 + )12/12
(1,087)0,166 = 1 +
1,014-1=
0,014*12=J
I=4,773 % Efectiva Bimestral
I=2,708% Efectiva Mensual
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J=0,168*100
44. Teniendo una tasa del I=7,45% Efectiva Semestral , hallar una tasa Nominal Bimestral (J=?% Nominal Bimestral) I=7,45% Efectiva Semestral J=?% Nominal Bimestral
(1 + i)n = (1 + )m
(1 + 0,074)2= (1 + )6
(1 + 0.074)2/6 = (1 + )6/6
(1,074)0,333 = 1 +
1,024-1=
0,024*6=J J=0,145*100
45. Teniendo una tasa del J=23,265% Nominal Bimestral , hallar una tasa Efectiva Semestral (I=?% Efectiva Semestral) J=23,265% Nominal Bimestral I=?% Efectiva Semestral
(1 + )m =(1 + i)n
(1 + )6 =(1 + i)2
(1 + )6/2 =(1 + i)2/2
J=16,842 % Nominal Mensual
J=14,545 % Nominal Bimestral
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(1 + 0,038)3 = 1 + I
1,120 = 1 + I
1,120 – 1 = I
I = 0,120 * 100
46. Teniendo una tasa del J=14% Nominal Semestral , hallar una tasa Efectiva Semestral (I=?% Efectiva Semestral)
J=14% Nominal Semestral I=?% Efectiva Semestral
(1 + )m =(1 + i)n
(1 + )2 =(1 + i)2
(1 + )2/2 =(1 + i)2/2
(1 + 0,07)1 = 1 + I
1,07 = 1 + I
1,07– 1 = I
I = 0,07 * 100
47. Teniendo una tasa del J=0,060% Nominal Diaria, hallar una tasa Efectiva Anual (I=?% Efectiva Anual) J=0,060% Nominal Diaria I=?% Efectiva Anual
(1 + )m =(1 + i)n
(1 + )360 =(1 + i)1
I=12,089% Efectiva Semestral
I=7 % Efectiva Semestral
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(1 + )360/1 =(1 + i)1/1
(1 + 0,000001)360 = 1 + I
1,0006 = 1 + I
1,0006 – 1 = I
I = 0,0006 * 100
48. Teniendo una tasa del J=23,619% Nominal Semanal , hallar una tasa Efectiva Semestral (I=?% Efectiva Semestral) J=23,619% Nominal Semanal I=?% Efectiva Semestral
(1 + )m =(1 + i)n
(1 + )48 =(1 + i)2
(1 + )48/2 =(1 + i)2/2
(1 + 0,004)24 = 1 + I
1,125 = 1 + I
1,125 – 1 = I
I = 0,125 * 100
49. Teniendo una tasa del I=34,221% Efectiva Anual , hallar una tasa Nominal Bimensual (J=?% Nominal Bimensual) I=34.221% EFECTIVA ANUAL J=?% NOMINAL BIMENSUAL
(1 + i)n = (1 + )m
(1 + 0.342)1 = (1 + )24
I=0,060% Efectiva Anual
I=12,503% Efectiva Semestral
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(1 + 0.342)1/24 = (1 + )24/24
1,012= 1 +
1,012-1=
0,012*24=J J=0.296*100
J= 29.612% NOMINAL BIMENSUAL
50. Teniendo una tasa del I=1,234% Efectiva Bimensual , hallar una tasa Nominal Mensual (J=?% Nominal Mensual) I=1.234% EFECTIVA BIMENSUAL J=?% NOMINAL MENSUAL
(1 + i)n = (1 + )m
(1 + 0.012)24 = (1 + )12
(1 + 0.012)24/12 = (1 + )12/12
1,024= 1 +
1,024-1=
0,024*12=J J=0.297*100 J=29.798% NOMINAL MENSUAL
51. Teniendo una tasa del J=28,316% Nominal Bimensual , hallar una tasa Efectiva Diaria (I=?% Efectiva Diaria) J=28.316% NOMINAL BIMENSUAL I=?% EFECTIVA DIARIA
(1 + )m = (1 + I)n
(1 + )24 = (1 + I)360
(1 + )24/360 = (1 + I)360/360
1.000-1=I
![Page 29: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/29.jpg)
100*0.000=I I=0.078%EFECTIVA DIARIA
52. Teniendo una tasa del I=4,539% Efectiva Bimestral , hallar una tasa Nominal Bimestral (J=?% Nominal Bimestral) I=4.539% EFECTIVA BIMESTRAL J=?% NOMINAL BIMESTRAL
(1 + i)n = (1 + )m
(1 + 0.045)6 = (1 + )6
(1 + 0.045)6/6= (1 + )6/6
1.045-1 =
0,045*6=J
100*0.272=J J=27.234% NOMINAL BIMESTRAL
53. Teniendo una tasa del J=28,333% Nominal Mensual , hallar una tasa Efectiva Anual (I=?% Efectiva Anual) J=28.333% NOMINAL MENSUAL I=?% EFCETIVA ANUAL
(1 + )m = (1 + I)n
(1 + )12 = (1 + I)1
(1 + )12/1 = (1 + I)1/1
1.323-1=I
100*0.323=I I=32.317% EFECTIVA ANUAL
54. Teniendo una tasa del J=26,591% Nominal Mensual , hallar una tasa Efectiva Mensual (I=?% Efectiva Mensual) J=26.591%NOMINAL MENSUAL I= ?%EFECTIVA MENSUAL
![Page 30: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/30.jpg)
(1 + )m = (1 + I)n
(1 + )12 = (1 + I)12
(1 + )12/12 = (1 + I)12/12
1.022-1=I
100*0.022=I I=2.215% EFECTIVA ANUAL
55. Teniendo una tasa del I=0,483% Efectiva Semanal , hallar una tasa Nominal Semanal (J=?% Nominal Semanal) I=0.483% EFECTIVA SEMANAL J=? %NOMINAL SEMANAL
(1 + i)n = (1 + )m
(1 + 0.004)48 = (1 + )48
(1 + 0.004)48/48= (1 + )48/48
1.004-1 =
0,004*48=J
100*0.231=J J=23.184%NOMINAL SEMANAL
56. Teniendo una tasa del J=23,023% Nominal Bimensual, hallar una tasa Efectiva Bimestral (I=?% Efectiva Bimestral) J=23.023%NOMINAL BIMENSUAL I=?% EFECTIVA BIMESTRAL
(1 + )m = (1 + I)n
(1 + )24 = (1 + I)6
(1 + )24/6 = (1 + I)6/6
1.038-1=I
100*0.038=I I=3.892% EFECTIVA BIMESTRAL
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57. Teniendo una tasa del I=35,993% Efectiva Anual , hallar una tasa Nominal Semestral (J=?% Nominal Semestral) I= 35.993 % EFECTIVA ANUAL J=?% NOMINAL SEMESTRAL
(1 + i)n = (1 + )m
(1 +0.359)1 = (1 + )2
(1 + 0.359)1/2 = (1 + )2/2
1.166-1 =
0,166*2=J
100*0.332=J J=33.232% NOMINAL SEMESTRAL
58. Teniendo una tasa del J=31,555% Nominal Bimestral , hallar una tasa Efectiva Diaria (I=?% Efectiva Diaria) J=31.555% NOMINAL BIMESTRAL I=?% EFECTIVA DIARIA
(1 + )m = (1 + I)n
(1 + )6 = (1 + I)360
(1 + )6/360 = (1 + I)360/360
1.000-1=I
100*0.000=I I=0.085% EFECTIVA DIARIA 59. Teniendo una tasa del J=20,050% Nominal Mensual , hallar una tasa Efectiva Semestral (I=?% Efectiva Semestral) J=20.050% NOMINAL MENSUAL I=?% EFECTIVA SEMESTRAL
(1 + )m = (1 + I)n
![Page 32: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/32.jpg)
(1 + )12 = (1 + I)2
(1 + )12/2 = (1 + I)2/2
1.104-1=I
100*0.104=I I=10.453% EFECTIVA SEMESTRAL
60. Teniendo una tasa del I=8,095% Efectiva Semestral , hallar una tasa Nominal Bimensual (J=?% Nominal Bimensual) I=8.095% EFECTIVA SEMESTRAL J=?% NOMINAL BIMENSUAL
(1 + i)n = (1 + )m
(1 +0.095)2 = (1 + )24
(1 + 0.095)2/24 = (1 + )24/24
1.006-1 =
0,006*24=J
100*0.156=J J=15.618% NOMINAL BIMENSUAL
61. Teniendo una tasa del I=0,035% Efectiva Diaria , hallar una tasa Nominal Mensual (J=?% Nominal Mensual) I=0.035%EFECTIVA DIARIA J=?%NOMINAL MENSUAL
(1 + i)n = (1 + )m
(1 +0.0003)360 = (1+ )12
(1 + 0.0003)360/12 = (1 + )12/12
1.010-1 =
0.010*12=J
100*0.126=J J=12.664% NOMINAL MENSUAL
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62. Teniendo una tasa del J=21,608% Nominal Bimensual , hallar una tasa Efectiva Bimensual (I=?% Efectiva Bimensual) J=21.608% NOMINAL BIMENSUAL I=?% EFECTIVA BIMENSUAL
(1 + )m = (1 + I)n
(1 + )24 = (1 + I)24
(1 + )24/24 = (1 + I)24/24
1.009-1=I
100*0.009= I=0.900% EFECTIVA BIMENSUAL
63. Teniendo una tasa del I=1,917% Efectiva Mensual , hallar una tasa Nominal Diaria (J=?% Nominal Diaria) I=1.917% EFECTIVA MENSUAL J=?% NOMINAL DIARIA
(1 + i)n = (1 + )m
(1 +0.019)12 = (1 + )360
(1 + 0.019)12/360 = (1 + )360/360
1.000-1 =
0.000*360=J
100*0.227=J J=22.793% NOMINAL DIARIA 64. Teniendo una tasa del J=22,190% Nominal Semanal , hallar una tasa Efectiva Bimensual (I=?% Efectiva Bimensual) J=22.190% NOMINAL SEMANAL I=?% EFECTIVA BIMENSUAL
(1 + )m = (1 + I)n
(1 + )48 = (1 + I)24
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(1 + )48/24 = (1 + I)24/24
1.009-1=I
100*0.009=I I=0.926%EFECTIVA BIMENSUAL
Anticipadas
1. Teniendo una tasa del IA = 0,069 % Efectiva Diaria Anticipada, hallar una tasa Nominal Semanal Anticipada (JA= ?%Nominal Semanal Anticipada) IA = 0,069 % Efectiva Diaria Anticipada
I = ?% efectiva Diaria
I = IA/1-IA
I = 0,0006/1-0,0006
I = 0,0006 * 100
I = 0,069 % Efectiva Diaria
I = 0,069 % Efectiva Diaria
i = ¿ % Efectiva Semanal
(1+i)n = (1+i) n
(1+ 0,0006)360 = (1+i)48
(1+0,0006)360/48 = (1+i)48/48
(1,0006)7,5 = 1+ i
1,005 = 1+ i
1,005 – 1 = i
I = 0,005 * 100
I = 0,519 % Efectiva Semanal
I = 0,519 % Efectiva Semanal
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IA = ? % Efectiva Semanal Anticipada
IA = i/1+i
IA = 0,005/1+0,005
IA = 0,005 * 100
IA = 0,516 % Efectiva Semanal Anticipada
IA = 0,516 % Efectiva Semanal Anticipada
JA = ? % Nominal Semanal Anticipada
JA = 0,516%*48
2. Teniendo una tasa del JA = 16 % Nominal Semestral Anticapada, hallar una tasa Efectiva Anual (I = ? % Efectiva Anual)
JA = 16 % Nominal Semestral Anticapada
IA = ?% Efectiva Semestral Anticipada
IA = 16%/2
IA = 8 % Efectiva Semestral Anticipada
IA = 8 % Efectiva Semestral Anticipada
I = ? % Efectiva Semestral
I = IA/1-IA
I = 0,08/1-0,08
I = 0,086 * 100
I = 8,659 % Efectiva Semestral
I = 8,659 % Efectiva Semestral
I = ? % Efectiva Anual
(1+i)n = (1+i) n
JA = 24,784 % Nominal Semanal Anticipada
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(1+ 0,086)2 = (1+i)1
(1+0,086)2/1 = (1+i)1/1
(1,086)2 = 1+ i
1,181 = 1+ i
1,181 – 1 = i
I = 0,181
3. Teniendo una tasa del IA = 0,501 % Efectiva Semanal Anticipada, hallar una tasa Nominal Diaria Anticipada (JA = ? % Nominal Diaria Anticipada)
IA = 0,501 % Efectiva Semanal Anticipada
I = ? % Efectiva Semanal
I = IA/1-IA
I = 0,005/1-0,005
I = 0,005 * 100
I = 0,503 % Efectiva Semanal
I = 0,503 % Efectiva Semanal
i = ? % Efectiva Diaria
(1+i)n = (1+i) n
(1+ 0,005)48 = (1+i)360
(1+0,005)48/360 = (1+i)360/360
(1,005)0,133 = 1+ i
1,000 = 1+ i
1,000 – 1 = i
I = 0,0006
I = 0,066 % Efectiva Diaria
I = 18,147 % Efectiva Anual
![Page 37: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/37.jpg)
I = 0,066 % Efectiva Diaria
IA = ? % Efectiva Diaria Anticipada
IA = I/1+I
IA = 0,0006/1+0,0006
IA = 0,0009 * 100
IA = 0,066 % Efectiva Diaria Anticipada
IA = 0,066 % Efectiva Diaria Anticipada
JA = ? % Nominal Diaria Anticipada
JA = 0,066% * 360
4. Teniendo una tasa del IA = 1,973 % Efectiva Mensual Anticipada, hallar una tasa Nominal Bimensual Anticipada (jA = ? % Nominal Bimensual Anticipada)
IA = 1,973 % Efectiva Mensual Anticipada
I = Efectiva Mensual
I = IA/1-IA
I = 0,019/1-0,019
I = 0,020 * 100
I = 2,012 % Efectiva Mensual
I = 2,012 % Efectiva Mensual
I = ? % Efectiva Bimensual
(1+i)n = (1+i) n
(1+ 0,020)12 = (1+i)
(1+0,020)12/4 = (1+i)24/24
(1,020)0.5 = 1+ i
1,010 = 1+ i
JA = 24,100 % Nominal Diaria Anticipada
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1,010 – 1 = i
I = 0,010 * 100
I = 1,001 % Efectiva Bimestral
I = 1,001 % Efectiva Bimestral
IA = ? % Efectiva Bimensual Anticipada
IA = I/1+i
IA = 0,010/1+0,010
IA = 0,009
IA = 0,991 % Efectiva Bimensual Anticipada
IA = 0.991 % Efectiva Bimensual Anticipada
JA = ? % Nominal Bimensual Anticipada
JA = 0.991%*24
5. Teniendo una tasa del IA = 4,085 % Efectivo Bimestral Anticipada, hallar una tasa Nominal Bimensual Anticipada (JA = ? % Nominal Bimensual anticipada)
IA = 4,085 % Efectivo Bimestral Anticipada
I = ? % Efectiva Bimestral
I = IA/1-IA
I = 0,040/1-0,040
I = 0,042 * 100
I = 4,258 % Efectiva Bimestral
I = 4,258 % Efectiva Bimestral
I = ? %Efectiva Bimensual
JA = 23,793 % Nominal Bimensual Anticipada
![Page 39: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/39.jpg)
(1+i)n = (1+i) n
(1+ 0,042)6 = (1+i)24
(1+0,042)6/24 = (1+i)24/24
(1,042)0,25 = 1+ i
1,010 = 1+ i
1,010 – 1 = i
I = 0,010 * 100
I = 1,048 % Efectiva Bimensual
I = 1,048 % Efectiva Bimensual
IA = ? % Efectiva Bimensual Anticipada
IA = I/1+I
IA = 0,010/1+0,010
IA = 0,010 * 100
IA = 1,037 % Efectiva Bimensual Anticipada
IA = 1,037 % Efectiva Bimensual Anticipada
JA = ? % Nominal Bimensual Anticipada
JA = 1,037 % * 24
6. Teniedo una tasa del JA = 22,221 % Nominal Semanal Antecipada, hallar una tasa Efectiva Diaria Anticipada (IA = ? % Efectiva Diaria Anticipada)
JA = 22,221 % Nominal Semanal Antecipada
IA = ? % Efectiva Semanal Anticipada
IA = 22,221/48
JA = 24,894 % Nominal Bimensual Anticipada
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IA = 0,462 % Efectiva Semestral Anticipada
IA = 0,462 % Efectiva Semanal Anticipada
I = ? % Efectiva Semanal
I = IA/1-IA
I = 0,004/1-0,004
I = 0,004 * 100
I = 0,465 % Efectiva Semanal
I = 0,465 % Efectiva Semanal
I = ? % Efectiva Diaria
(1+i)n = (1+i) n
(1+ 0,004)48 = (1+i)360
(1+0,004)48/360 = (1+i)360/360
(1,004)0.133 = 1+ i
1,000 = 1+ i
1,000 – 1 = i
I = 0,0006 * 100
I = 0,061 % Efectiva Diaria
I = 0,061 % Efectiva Diaria
IA = ? % Efectiva Diaria Anticipada
IA = I/1+I
IA = 0,0006/1+0,0006
IA = 0,0006 * 100
IA = 0,061 % Efectiva Diaria Anticipada
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7. Teniendo una tasa del JA = 25,920 % Nominal Diaria Anticipada, hallar una tasa Efectiva Mensual Anticipada (IA = ? % Efectiva Mensual Anticipada)
JA = 25,920 % Nominal Diaria Anticipada
IA = ? % Efectva Diaria Anticipada
IA = 25,920/360
IA = 0,072 % Efectiva Diaria Anticipada
IA = 0,072 % Efectiva Diaria Anticipada
I = ? % Efectiva Diaria
I = IA/1-IA
I = 0,0007/1-0,0007
I = 0,0007 * 100
I = 0,072 % Efectiva Diaria
I = 0,072 % Efectiva Diaria
I = ? % Efectiva Mensual
(1+i)n = (1+i) n
(1+ 0,0007)360 = (1+i)12
(1+0,0007)360/12 = (1+i)12/12
(1,000)30 = 1+ i
1,021 = 1+ i
1,021 – 1 = i
I = 0,021 * 100
I = 2,184 % Efectiva Mensual
I = 2,184 % Efectiva Mensual
IA = ? % Efectiva Mensual Anticipada
IA = I/1+I
![Page 42: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/42.jpg)
IA = 0,021/1+0,021
IA = 0,021 * 100
8. Teniendo una tasa del JA = 24,492 % Nominal Bimensual Anticipada, hallar una tasa Efectiva Anual (I = ? % Efectiva Anual)
JA = 24,492 % Nominal Bimensual Anticipada
IA = ? % Efcetiva Bimensual Anticipada
IA = 24,492%/24
IA = 1, 020% Efectiva Bimensual Anticipada
IA = 1,020 % Efectiva Bimensual Anticipada
I = ? % Efectiva Bimensual
I = IA/1-IA
I = 0,010/1-0,010
I = 0,010 * 100
I = 1,031 % Efectiva Bimensual
I = 1,031 % Efectiva Bimensual
I = ? % Efectiva Anual
(1+i)n = (1+i) n
(1+ 0,010)24 = (1+i)1
(1+0,010)24/1 = (1+i)1/1
(1,010)24 = 1+ i
1,279 = 1+ i
1,279 – 1 = i
I = 0,279
IA = 2,137 % Efectiva Mensual Anticipada
![Page 43: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/43.jpg)
9. Teniendo una tasa del JA = 29,101 % Nominal Bimestral Anticipada, hallar una tasa Efectiva Bimensual Anticipada (IA = ? % Efectiva Bimensual Anticipada)
JA = 29,101 % Nominal Bimestral Anticipada
IA = ? % Efectiva Bimestral Anticipada
IA = 29,101%/6
IA = 4,850 % Efectiva Bimestral Anticipada
IA = 4,850 % Efectiva Bimestral Anticipada
I = ? % Efectiva Bimestral
I = IA/1-IA
I = 0,048/1-0,048
I = 0,050 * 100
I = 5,097 % Efectiva Bimestral
I = 5,097 % Efectiva Bimestral
I = ? % Efectiva Bimensual
(1+i)n = (1+i) n
(1+ 0,050)6 = (1+i)24
(1+0,050)6/24 = (1+i)24/24
(1,050)0,25 = 1+ i
1,012 = 1+ i
1,012 – 1 = i
I = 0,012 * 100
I = 1,250 % Efectiva Bimensual
I = 27,912 % Efectiva Anual
![Page 44: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/44.jpg)
I = 1,250 % Efectiva Bimensual
IA = ? % Efectiva Bimensual Anticipada
IA = I/1+I
IA = 0,012/1+0,012
IA = 0,012 * 100
10. Teniendo una tasa del I = 30 % Efectiva Anual, hallar una tasa Nominal Semanal Anticipada (JA = ? % Nominal Semanal Anticipada)
I = 30 % Efectiva Anual
I = ? % Efectiva Semanal
(1+i)n = (1+i) n
(1+ 0,30)1 = (1+i)48
(1+0,30)1/48 = (1+i)48/48
(1,30)0,020 = 1+ i
1,005 = 1+ i
1,005 – 1 = i
I = 0,005 * 100
I = 0,548 % Efectiva Semanal
I = 0,548 % Efectiva Semanal
IA = ? % Efectiva Semanal Anticipada
IA = I/1+I
IA = 0,005/1+0,005
IA = 0,005 * 100
IA = 0,545 Efectiva Semanal Anticipada
IA = 0,545 Efectiva Semanal Anticipada
IA = 1,235 % Efectiva Bimensual Anticipada
![Page 45: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/45.jpg)
JA = ? % Nominal Semanal Anticipada
JA = 0,545% * 48
11. Teniendo una tasa del IA = 22 % Efectiva Mensual Anticipada, hallar una tasa Nominal Semestral Anticipada(JA = ? % Nominal Semestral Anticipada)
IA = 22 % Efectiva Mensual Anticipada
I = ? % Efectiva Mensual
I = IA/1-IA
I = 0,22/1-0,22
I = 0,282 * 100
I = 28,205 Efectiva Mensual
I = 28,205 Efectiva Mensual
I = ? %Efectiva Semestral
(1+i)n = (1+i) n
(1+ 0,282)12 = (1+i)2
(1+0,282)12/2 = (1+i)2/2
(1,282)6 = 1+ i
4,440 = 1+ i
4,440 – 1 = i
I = 3,440 * 100
I = 344,050 % Efectiva Semestral
I = 344,050 % Efectiva Semestral
IA = ? % Efectiva Semestral Anticipada
JA = 26,164 % Nominal Semanal Anticipada
![Page 46: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/46.jpg)
IA = I/1+I
IA = 3,440/1+3,440
IA = 0,774 * 100
IA = 77,480 % Efectiva Semestral Anticipada
IA = 77,480 % Efectiva Semestral Anticipada
JA = ? % Nominal Semestral Anticipada
JA = 77,480 % * 2
12. Teniendo una tasa del JA = 27,720 % Nominal Diario Anticipada, hallar una tasa Efectiva Diario Anticipada (IA = ? % Efectiva Diaria Anticipada)
JA = 27,720 % Nominal Diario Anticipada
IA = ? % Efectiva Diaria Anticipada
IA = 27,720%/360
13. Teniendo una tasa del JA = 24,99 % Nominal Semestral Anticipada, hallar una tasa Efectiva Bimestral Anticipada (IA = ? % Efectiva Bimestral Anticipada)
JA = 24,99 % Nominal Semestral Anticipada
IA = ? % Efectiva Semestral Anticipada
IA = 24,99/2
IA = 12,495 % Efectiva Semestral Anticipada
IA = 12,495 % Efectiva Semestral Anticipada
I = ? % Efectiva Semestral
I = IA/1-IA
JA = 154,960 % Nominal Semestral Anticipada
IA = 0.077 % Efectiva Diaria Anticipada
![Page 47: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/47.jpg)
I = 0,124/1-0,124
I = 0,142 * 100
I = 14,279 % Efectiva Semestral
I = 14,279 % Efectiva Semestral
I = ? % Efectiva Bimestral
(1+i)n = (1+i) n
(1+ 0,142)2 = (1+i)6
(1+0,142)2/6 = (1+i)6/6
(1,142)0,333 = 1+ i
1,045 = 1+ i
1,045 – 1 = i
I = 0,045 * 100
I = 4,549 % Efectiva Bimestral
I = 14,549 % Efectiva Bimestral
IA = ? % Efectiva Bimestral Anticipada
IA = I/1+I
IA = 0,045/1+0,045
IA = 0,043 * 100
14. Teniendo una tasa del JA = 21,607 % Nominal Semestral Anticipada, hallar una tasa Efectiva Bimensual Anticipada (IA = ? % efectiva Bimensual Anticipada)
JA = 21,607 % Nominal Semestral Anticipada
IA = ? % Efectiva Semestral Anticipada
IA = 21,607 % / 2
IA = 4,351 % Efectiva Bimestral Anticipada
![Page 48: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/48.jpg)
IA = 10,803 % Efectiva Semestral Anticipada
IA = 10,803 % Efectiva Semestral Anticipada
I = ? % Efectiva Semestral
I = IA/1-IA
I = 0,108/1-0,108
I = 0,121*100
I = 12,112 % Efectiva Semestral
I = 12,112 % Efectiva Semestral
I = ? % Efectiva Bimensual
(1+i)n = (1+i) n
(1+ 0,121)2 = (1+i)24
(1+0,121)2/24 = (1+i)24/24
(1,121)0,083 = 1+ i
1,009 = 1+ i
1,009 – 1 = i
I = 0,009 * 100
I = 0,957 % Efectiva Bimensual
I = 0,957 % Efectiva Bimensual
IA = ? % Efectiva Bimensual Anticipada
IA = I/1+I
IA = 0,009/1+0,009
IA = 0,009 * 100
15. Teniedo una tasa del I = 25 % Efectiva Annual , hallar una tasa Nominal Diaria Anticipada (J = ? % Nominal Diaria Anticipada)
IA = 0,948 % Efectiva Bimensual Anticipada
![Page 49: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/49.jpg)
I = 25 % Efectiva Annual
I = ? % Efectiva Diaria
(1+i)n = (1+i) n
(1+ 0,25)1 = (1+i)360
(1+0,25)1/360 = (1+i)360/360
(1,25)0,002 = 1+ i
1,000 = 1+ i
1,000 – 1 = i
I = 0,0006 * 100
I = 0,062 % Efectiva Diaria
I = 0,062 % Efectiva Diaria
IA = ? % Efectiva Diaria Anticipada
IA = I/1+I
IA = 0,0006/1+0,0006
IA = 0,0006 * 100
IA = 0,061 Efectiva Diaria Anticipada
IA = 0,061 Efectiva Diaria Anticipada
JA = ? % Nominal Diaria Anticipada
JA = 0,061 % * 360
16. Teniendo una tasa del IA = 1,11 % Efectiva Bimensual Anticipada, hallar una tasa nominal Bimensual Anticipada (JA = ? Nominal Bimensual Anticipada)
IA = 1,11 % Efectiva Bimensual Anticipada
JA = ? Nominal Bimensual Anticipada
JA = 22,307 % Nominal Diaria Anticipada
![Page 50: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/50.jpg)
JA = 1,11% * 24
17. teniendo una tasa del ja=28.638% nominal semestral anticipada, hallar una
tasa, efectiva mensual ( ia= ¿ efectiva mensual anticipada)
18. TENIENDO UNA TASA DEL JA=27.6% NOMINAL MENSUAL
ANTICIPADA, HALLAR UNA TASA, EFECTIVA SEMESTRAL ANTICIPADA
(IA= ¿EFECTIVA SEMESTRAL ANTICIPADA)
JA = 26,640 % Nominal Bimensual Anticipada
![Page 51: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/51.jpg)
19. TENIENDO UNA TASA DEL IA=0.066% EFECTIVAL DIARIA ANTICIPADA,
HALLAR UNA TASA, NOMINAL MENSUAL ANTICIPADA (JA= ¿NOMINAL
MENSUAL ANTICIPADA)
![Page 52: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/52.jpg)
20. TENIENDO UNA TASA DEL IA=0.617% EFECTIVAL SEMANAL
ANTICIPADO, HALLAR UNA TASA, NOMINAL BIMENSUAL ANTICIPADO
(JA= ¿NOMINAL BIMENSUAL ANTICIPADO)
![Page 53: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/53.jpg)
21. TENIENDO UNA TASA DEL JA=31.104% NOMINAL SEMANAL
ANTICIPADA, HALLAR UNA TASA, EFECTIVA ANUAL (I= ¿EFECTIVA
ANUAL)
22. TENIENDO UNA TASA DEL IA=1.563% EFECTIVAL MENSUAL
ANTICIPADA, HALLAR UNA TASA, NOMINAL BIMESTRAL ANTICIPADA (J=
¿NOMINAL BIMESTRAL ANTICIPADA)
![Page 54: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/54.jpg)
23. TENIENDO UNA TASA DEL I=21% EFECTIVAL ANUAL, HALLAR UNA
TASA, NOMINAL MENSUAL ANTICIPADA (JA= ¿NOMINAL MENSUAL)
![Page 55: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/55.jpg)
24. TENIENDO UNA TASA DEL JA=18.998% NOMINAL DIARIA ANTICIPADA,
HALLAR UNA TASA, EFECTIVA BIMENSUAL ANTICIPADA (IA= ¿EFECTIVA
BIMENSUAL ANTICIPADA)
25. TENIENDO UNA TASA DEL JA=20.197% NOMINAL BIMENSUAL
ANTICIPADA, HALLAR UNA TASA, EFECTIVA SEMANAL ANTICIPADA (IA=
¿EFECTIVA SEMANAL ANTICIPADA)
![Page 56: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/56.jpg)
26. TENIENDO UNA TASA DEL IA=3.729% EFECTIVAL BIMESTRAL
ANTICIPADA, HALLAR UNA TASA, NOMINAL MENSUAL ANTICIPADA (JA=
¿NOMINAL MENSUAL ANTICIPADA)
![Page 57: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/57.jpg)
27. TENIENDO UNA TASA DEL IA=14.545% EFECTIVAL SEMESTRAL
ANTICIPADA, HALLAR UNA TASA, NOMINAL DIARIA ANTICIPADA (JA=
¿NOMINAL DIARIA ANTICIPADA)
![Page 58: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/58.jpg)
28. TENIENDO UNA TASA DEL JA=24.607% NOMINAL MENSUAL
ANTICIPADA, HALLAR UNA TASA, EFECTIVA BIMESTRAL ANTICIPADA
(IA= ¿EFECTIVA BIMESTRAL ANTICIPADA)
29. TENIENDO UNA TASA DEL IA=1.767% EFECTIVAL MENSUAL
ANTICIPADA, HALLAR UNA TASA, NOMINAL SEMANAL ANTICIPADA (JA=
¿NOMINAL SEMANAL)
![Page 59: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/59.jpg)
30. TENIENDO UNA TASA DEL JA=25.496% NOMINAL DIARIO
ANTICIPADO, HALLAR UNA TASA, EFECTIVA SEMANAL ANTICIPADO (IA=
¿EFECTIVA SEMANAL ANTICIPADO)
![Page 60: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/60.jpg)
31. TENIENDO UNA TASA DEL JA=21.812% NOMINAL BIMESTRAL
ANTICIPADO, HALLAR UNA TASA, EFECTIVA ANUAL (I= ¿EFECTIVA
ANUAL)
![Page 61: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/61.jpg)
33. Teniendo una tasa del I=31,476% Efectiva Anual , hallar una tasa Nominal Bimestral Anticipada (JA=?% Nominal Bimestral Anticipada)
I= 31,476% Efectiva Anual JA= ?% Nominal Bimestral Anticipada
I=31,476 % Efectivo anual
I=Efectiva Bimestral
(1+i)n = (1+i)n
(1+0,314)1 = (1+i)6
(1+0,32)1/6 = (1+i)6/6
(1,314)0,166 = 1+i
1,046= 1+i
1,046-1=i
I=0,046
I=0,046*100
I= 4,666 % Efectiva Bimestral
I=0,580 % Efectiva Bimestral
IA=?% Efectiva Bimestral Anticipada
IA =
IA =
IA = 0.044 * 100
IA=4,458% Efectiva Bimestral Anticipada
IA = 4,458% Efectiva Bimestral Anticipada
JA = ? % Nominal Bimestral Anticipada
JA = IA * M
![Page 62: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/62.jpg)
JA = 4,458 * 6
34. Teniendo una tasa del IA=2,307% Efectiva Mensual Anticipada, hallar una tasa Nominal Mensual Anticipada (JA=?% Nominal Mensual Anticipada )
IA= 2,307% Efectiva Mensual Anticipada JA= ?% Nominal Mensual Anticipada
IA= 2,307 JA=2,307*12
35. Teniendo una tasa del JA=0,075% Nominal Diaria Anticipada, hallar una tasa Efectiva Bimestral Anticipada (IA=?% Efectiva Bimestral Anticipada) JA=0,075% Nominal Diaria Anticipada IA= ?% Efectiva Bimestral Anticipada
IA =
IA =
IA = 0,0002 % Efectiva Diaria Anticipada
IA=0,0002% Efectiva Diaria Anticipada I = ? % Efectiva Diaria
I =
I =
I = 0.000002 * 100
JA = 26,751% Nominal Bimestral Anticipada
JA = 27,684% Nominal Mensual Anticipada
![Page 63: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/63.jpg)
I = 0,0002 % Efectiva Diaria
I = 0,0002 % Efectiva Diaria
I=? % Efectiva Bimestral
(1+i)n = (1+i)n
(1+0,000002)360 = (1+i)6
(1+0,000002)360/6 = (1+i)6/6
(1,000002)60 = 1+i
1,0001= 1+i
1,0001-1=i
I=0,0001
I=0,0001*100
I= 0,012 % Efectiva Bimestral
I=0,012 % Efectiva Bimestral
IA=?% Efectiva Bimestral Anticipada
IA =
IA =
IA = 0.0001 * 100
36. Teniendo una tasa del JA=32,379% Nominal Semestral Anticipada, hallar una tasa Efectiva Semanal Anticipada (IA=?% Efectiva Semanal Anticipada)
JA=32,379% Nominal Semestral Anticipada
IA = 0,012 % Efectiva Bimestral Anticipada
![Page 64: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/64.jpg)
IA=?% Efectiva Semanal Anticipada
IA =
IA =
IA = 16,189 % Efectiva Semestral Anticipada
IA=16,189% Efectiva Semestral Anticipada I = ? % Efectiva Semestral
I =
I =
I = 0.193 * 100
I = 19,316 % Efectiva Semestral
I = 19,316 % Efectiva Semestral
I=? % Efectiva Semanal
(1+i)n = (1+i)n
(1+0,193)2 = (1+i)48
(1+0,193)2/48 = (1+i)48/48
(1,193)0,041 = 1+i
1,007= 1+i
1,007-1=i
I=0,007
I=0,007*100
I= 0,738 % Efectiva Semanal
I=0,738 % Efectiva Semanal
IA=?% Efectiva Semanal Anticipada
![Page 65: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/65.jpg)
IA =
IA =
IA = 0.007 * 100
37. Teniendo una tasa del IA=0,087% Efectiva Diaria Anticipada , hallar una tasa Nominal Bimensual Anticipada (JA=?% Nominal Bimensual Anticipada)
IA=0,087% Efectiva Diaria Anticipada
JA=?% Nominal Bimensual Anticipada
IA=0,087% Efectiva Diaria Anticipada I = ? % Efectiva Diaria
I =
I =
I = 0.0008 * 100
I = 0,087 % Efectiva Diaria
I = 0,087 % Efectiva Diaria
I=? % Efectiva Bimensual
(1+i)n = (1+i)n
(1+0,0008)360 = (1+i)24
(1+0,0008)360/24 = (1+i)24/24
IA = 0,733 % Efectiva Semanal Anticipada
![Page 66: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/66.jpg)
(1,0008)15 = 1+i
1,0008= 1+i
1,013-1=i
I=0,013
I=0,013*100
I= 1,314 % Efectiva Bimensual
I=1,314 % Efectiva Bimensual
IA=?% Efectiva Bimensual Anticipada
IA =
IA =
IA = 0.012 * 100
IA = 1,297 % Efectiva Bimensual Anticipada
IA = 1,297 % Efectiva Bimensual Anticipada
JA=1,297*24
38. Teniendo una tasa del IA=0,090% Efectiva Diaria Anticipada, hallar una tasa Nominal Bimestral Anticipada (JA=?% Nominal Bimestral Anticipada)
IA=0,090% Efectiva Diaria Anticipada
JA=?% Nominal Bimestral Anticipada
IA=0,090% Efectiva Diaria Anticipada I = ? % Efectiva Diaria
I =
I =
JA = 31,129 % Nominal Bimensual Anticipada
![Page 67: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/67.jpg)
I = 0.0009 * 100
I = 0,090 % Efectiva Diaria
I = 0,090 % Efectiva Diaria
I=? % Efectiva Bimestral
(1+i)n = (1+i)n
(1+0,0009)360 = (1+i)6
(1+0,0009)360/6 = (1+i)6/6
(1,0009)60 = 1+i
1,055= 1+i
1,055-1=i
I=0,055
I=0,055*100
I= 5,551 % Efectiva Bimestral
I=5,551 % Efectiva Bimestral
IA=?% Efectiva Bimestral Anticipada
IA =
IA =
IA = 0.052 * 100
IA = 5,259 % Efectiva Bimestral Anticipada
IA = 5,259 % Efectiva Bimestral Anticipada
JA=5,259*6
JA = 31,554 % Nominal Bimestral Anticipada
![Page 68: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/68.jpg)
39. Teniendo una tasa del JA=32,479% Nominal Semestral Anticipada , hallar una tasa Efectiva Semestral Anticipada (IA=?% Efectiva Semestral Anticipada)
JA=32,479% Nominal Semestral Anticipada
IA=?% Efectiva Semestral Anticipada
JA = 32,479 % Nominal Semestral Anticipada
IA=32,479/2
40. Teniendo una tasa del JA=22,418% Nominal Bimensual Anticipada , hallar una tasa Efectiva Semestral Anticipada (IA=?% Efectiva Semestral Anticipada)
JA=22,418% Nominal Bimensual Anticipada
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 0,934 % Efectiva Bimensual Anticipada
IA=0,934% Efectiva Bimensual Anticipada I = ? % Efectiva Bimensual
I =
I =
I = 0.009 * 100
I = 0,942 % Efectiva Bimensual
I = 0,942 % Efectiva Bimensual
JA = 16,239 % Efectiva Semestral Anticipada
![Page 69: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/69.jpg)
I=? % Efectiva Semestral
(1+i)n = (1+i)n
(1+0,009)24 = (1+i)2
(1+0,009)24/2 = (1+i)2/2
(1,009)12 = 1+i
1,119= 1+i
1,119-1=i
I=0,119
I=0,119*100
I= 11,920 % Efectiva Semestral
I=11,920 % Efectiva Semestral
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 0.106 * 100
41. Teniendo una tasa del JA=28,641% Nominal Bimestral Anticipada , hallar una tasa Efectiva Bimestral Anticipada (IA=?% Efectiva Bimestral Anticipada)
JA=28,641% Nominal Bimestral Anticipada
IA=?% Efectiva Bimestral Anticipada
JA= 28,641 Nominal Bimestral Anticipada
IA= 28,641/6
IA = 10,650 % Efectiva Semestral Anticipada
IA = 4,773 % Efectiva Bimestral Anticipada
![Page 70: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/70.jpg)
42. Teniendo una tasa del JA=32,173% Nominal Semanal Anticipada , hallar una tasa Efectiva Mensual Anticipada (IA=?% Efectiva Mensual Anticipada)
JA=32,173% Nominal Semanal Anticipada
IA=?% Efectiva Mensual Anticipada
IA =
IA =
IA = 0,670 % Efectiva Semanal Anticipada
IA=0,670% Efectiva Semanal Anticipada I = ? % Efectiva Semanal
I =
I =
I = 0.006 * 100
I = 0,674 % Efectiva Semanal
I = 0,674 % Efectiva Semanal
I=? % Efectiva Mensual
(1+i)n = (1+i)n
(1+0,006)48 = (1+i)12
(1+0,006)48/12 = (1+i)12/12
(1,006)4 = 1+i
1,027= 1+i
1,027-1=i
I=0,027
![Page 71: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/71.jpg)
I=0,027*100
I= 2,726 % Efectiva Mensual
I=2,726 % Efectiva Mensual
IA=?% Efectiva Mensual Anticipada
IA =
IA =
IA = 0.026 * 100
43. Teniendo una tasa del IA=8,722% Efectiva Semestral Anticipada , hallar una tasa Nominal Mensual Anticipada(JA=?% Nominal Mensual Anticipada)
IA=8,722% Efectiva Semestral Anticipada
JA=?% Nominal Mensual Anticipada
IA=8,722% Efectiva Semestral Anticipada I = ? % Efectiva Semestral
I =
I =
I = 0.095 * 100
I = 9,555 % Efectiva Semestral
I = 9,555 % Efectiva Semestral
I=? % Efectiva Mensual
IA = 2,654 % Efectiva Mensual Anticipada
![Page 72: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/72.jpg)
(1+i)n = (1+i)n
(1+0,095)2 = (1+i)12
(1+0,095)2/12 = (1+i)12/12
(1,095)0,166 = 1+i
1,015= 1+i
1,015-1=i
I=0,015
I=0,015*100
I= 1,532 % Efectiva Mensual
I=1,532 % Efectiva Mensual
IA=?% Efectiva Mensual Anticipada
IA =
IA =
IA = 0.015 * 100
IA = 1,509 % Efectiva Mensual Anticipada
IA = 1,509 % Efectiva Mensual Anticipada
JA=1,509*12
44. Teniendo una tasa del IA=7,45% Efectiva Semestral Anticipada , hallar una tasa Nominal Bimestral Anticipada (JA=?% Nominal Bimestral Anticipada)
IA=7,45% Efectiva Semestral Anticipada
JA=?% Nominal Bimestral Anticipada
JA = 18,114 % Nominal Mensual Anticipada
![Page 73: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/73.jpg)
IA=7,45% Efectiva Semestral Anticipada I = ? % Efectiva Semestral
I =
I =
I = 0.080 * 100
I = 8,049 % Efectiva Semestral
I = 8,049 % Efectiva Semestral
I=? % Efectiva Bimestral
(1+i)n = (1+i)n
(1+0,080)2 = (1+i)6
(1+0,080)2/6 = (1+i)6/6
(1,080)0,333 = 1+i
1,026= 1+i
1,026-1=i
I=0,026
I=0,026*100
I= 2,614 % Efectiva Bimestral
I=2,614 % Efectiva Bimestral
IA=?% Efectiva Bimestral Anticipada
IA =
IA =
IA = 0.025 * 100
IA = 2,547 % Efectiva Bimestral Anticipada
![Page 74: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/74.jpg)
IA = 2,547 % Efectiva Bimestral Anticipada
JA=2,547*6
45. Teniendo una tasa del JA=23,265% Nominal Bimestral Anticipada , hallar una tasa Efectiva Semestral Anticipada (IA=?% Efectiva Semestral Anticipada)
JA=23,265% Nominal Bimestral Anticipada
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 3,877 % Efectiva Bimestral Anticipada
IA=3,877% Efectiva Bimestral Anticipada I = ? % Efectiva Bimestral
I =
I =
I = 0.040 * 100
I = 4,033 % Efectiva Bimestral
I = 4,033 % Efectiva Bimestral
I=? % Efectiva Semestral
(1+i)n = (1+i)n
(1+0,040)6 = (1+i)2
JA = 15,286 % Nominal Bimestral Anticipada
![Page 75: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/75.jpg)
(1+0,040)6/2 = (1+i)2/2
(1,040)3 = 1+i
1,125= 1+i
1,125-1=i
I=0,125
I=0,125*100
I= 12,596 % Efectiva Semestral
I=12,596 % Efectiva Semestral
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 0.111 * 100
46. Teniendo una tasa del JA=14% Nominal Semestral Anticipada , hallar una tasa Efectiva Semestral Anticipada (IA=?% Efectiva Semestral Anticipada)
JA=14% Nominal Semestral Anticipada
IA=?% Efectiva Semestral Anticipada
JA=14% Nominal Semestral Anticipada
IA=14/2
IA = 11,187 % Efectiva Semestral Anticipada
IA = 7 % Efectiva Semestral Anticipada
![Page 76: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/76.jpg)
47. Teniendo una tasa del JA=0,060% Nominal Diaria Anticipada , hallar una tasa Efectiva Anual (IA=?% Efectiva Anual)
JA=0,060% Nominal Diaria Anticipada
IA=?% Efectiva Anual
IA =
IA =
IA = 0,0001 % Efectiva Diaria Anticipada
IA=0,0001% Efectiva Diaria Anticipada I = ? % Efectiva Diaria
I =
I =
I = 0.000001 * 100
I = 0,0001 % Efectiva Diaria
I = 0,0001 % Efectiva Diaria
I=? % Efectiva Anual
(1+i)n = (1+i)n
(1+0,000001)360 = (1+i)1
(1+0,000001)360/1 = (1+i)1/1
(1,000001)360 1= 1+i
1,0006= 1+i
1,0006-1=i
I=0,0006
I=0,0006*100
![Page 77: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/77.jpg)
48. Teniendo una tasa del JA=23,619% Nominal Semanal Anticipada , hallar una tasa Efectiva Semestral Anticipada (IA=?% Efectiva Semestral Anticipada)
JA=23,619% Nominal Semanal Anticipada
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 0,492 % Efectiva Semanal Anticipada
IA=0,492% Efectiva Semanal Anticipada I = ? % Efectiva Semanal
I =
I =
I = 0.004 * 100
I = 0,494 % Efectiva Semanal
I = 0,494 % Efectiva Semanal
I=? % Efectiva Semestral
(1+i)n = (1+i)n
(1+0,004)48 = (1+i)2
(1+0,004)48/2 = (1+i)2/2
I= 0,060 % Efectiva Anual
![Page 78: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/78.jpg)
(1,004)24 = 1+i
1,125= 1+i
1,125-1=i
I=0,125
I=0,125*100
I= 12,567 % Efectiva Semestral
I=12,567 % Efectiva Semestral
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 0.111 * 100
49. Teniendo una tasa del I=34,221% Efectiva Anual , hallar una tasa Nominal Bimensual Anticipada(JA=?% Nominal Bimensual Anticipada)
I=34,221% Efectiva Anual
JA=?% Nominal Bimensual Anticipada
I= 34,221 % Efectiva Anual
I= ?% Efectiva Bimensual
(1+i)n = (1+i)n
(1+0,342)1 = (1+i)24
(1+0,342)1/24 = (1+i)24/24
(1,342)0,041 = 1+i
IA = 11,165% Efectiva Semestral Anticipada
![Page 79: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/79.jpg)
1,012= 1+i
1,012-1=i
I=0,012
I=0,012*100
I= 1,233 % Efectiva Bimensual
I=1,233 % Efectiva Bimensual
IA=?% Efectiva Bimensual Anticipada
IA =
IA =
IA = 0.012 * 100
IA=1,218 Efectiva Bimensual Anticipada
IA = 1,218% Efectiva Bimensual Anticipada
JA=1,218*24
50. Teniendo una tasa del IA=1,234% Efectiva Bimensual Anticipada , hallar una tasa Nominal Mensual Anticipada (JA=?% Nominal Mensual Anticipada)
IA=1,234% Efectiva Bimensual Anticipada
JA=?% Nominal Mensual Anticipada
IA=1,234% Efectiva Bimensual Anticipada I = ? % Efectiva Bimensual
I =
JA = 29,252 % Nominal Bimensual Anticipada
![Page 80: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/80.jpg)
I =
I = 0.012 * 100
I = 1,249 % Efectiva Bimensual
I = 1,249 % Efectiva Bimensual
I=? % Efectiva Mensual
(1+i)n = (1+i)n
(1+0,012)24 = (1+i)12
(1+0,012)24/12 = (1+i)12/12
(1,012)2 = 1+i
1,025= 1+i
1,025-1=i
I=0,025
I=0,025*100
I= 2,514 % Efectiva Mensual
I=2,514 % Efectiva Mensual
IA=?% Efectiva Mensual Anticipada
IA =
IA =
IA = 0.024 * 100
IA = 2,452% Efectiva Mensual Anticipada
IA = 2,452 % Efectiva Mensual Anticipada
JA=2,452*12
JA = 29,433 % Nominal Mensual Anticipada
![Page 81: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/81.jpg)
51. Teniendo una tasa del JA=28,316% Nominal Bimensual Anticipada , hallar una tasa Efectiva Diaria Anticipada (IA=?% Efectiva Diaria Anticipada)
JA=28,316% Nominal Bimensual Anticipada
IA=?% Efectiva Diaria Anticipada
IA =
IA =
IA = 1,179 % Efectiva Bimensual Anticipada
IA=1,179% Efectiva Bimensual Anticipada I = ? % Efectiva Bimensual
I =
I =
I = 0.011 * 100
I = 1,193 % Efectiva Bimensual
I = 1,193 % Efectiva Bimensual
I=? % Efectiva Diaria
(1+i)n = (1+i)n
(1+0,011)24 = (1+i)360
(1+0,011)24/360 = (1+i)360/360
(1,011)0,066 = 1+i
1,0007= 1+i
1,0007-1=i
I=0,0007
I=0,0007*100
![Page 82: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/82.jpg)
I= 0,079 % Efectiva Diaria
I=0,079 % Efectiva Diaria
IA=?% Efectiva Diaria Anticipada
IA =
IA =
IA = 0.0007 * 100
52. Teniendo una tasa del IA=4,539% Efectiva Bimestral Anticipada , hallar una tasa Nominal Bimestral Anticipada (JA=?% Nominal Bimestral Anticipada) IA=4,539% Efectiva Bimestral Anticipada JA=?% Nominal Bimestral Anticipada IA=4.539 % Efectiva Bimestral Anticipada JA= 4,539 * 6 53. Teniendo una tasa del JA=28,333% Nominal Mensual Anticipada , hallar una tasa Efectiva Anual (I=?% Efectiva Anual) JA=28,333% Nominal Mensual Anticipada I=?% Efectiva Anual
IA =
IA =
IA = 2,361 % Efectiva Mensual Anticipada
IA=2,361% Efectiva Mensual Anticipada
IA = 0,079 % Efectiva Diaria Anticipada
IA = 27,234 % Nominal Bimestral Anticipada
![Page 83: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/83.jpg)
I = ? % Efectiva Mensual
I =
I =
I = 0.024 * 100
I = 2,418 % Efectiva Mensual
I = 2,418 % Efectiva Mensual
I=? % Efectiva Anual
(1+i)n = (1+i)n
(1+0,024)12 = (1+i)1
(1+0,024)12/1 = (1+i)1/1
(1,024)12 = 1+i
1,332= 1+i
1,332-1=i
I=0,332
I=0,332*100
54. Teniendo una tasa del JA=26,591% Nominal Mensual Anticipada , hallar una tasa Efectiva Mensual Anticipada (IA=?% Efectiva Mensual Anticipada) JA=26,591% Nominal Mensual Anticipada IA=?% Efectiva Mensual Anticipada JA=26,591 % Nominal Mensual Anticipada IA= 26,591 / 12 55. Teniendo una tasa del IA=0,483% Efectiva Semanal Anticipada , hallar una tasa Nominal Semanal Anticipada (JA=?% Nominal Semanal Anticipada )
I= 33,206 % Efectiva Anual
IA=2,216 % Efectiva Mensual Anticipada
![Page 84: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/84.jpg)
IA=0,483% Efectiva Semanal Anticipada JA=?% Nominal Semanal Anticipada IA=0,483% Efectiva Semanal Anticipada JA= 0,483* 48 56. Teniendo una tasa del JA=23,023% Nominal Bimensual Anticipada , hallar una tasa Efectiva Bimestral Anticipada (IA=?% Efectiva Bimestral Anticipada) JA=23,023% Nominal Bimensual Anticipada IA=?% Efectiva Bimestral Anticipada)
IA =
IA =
IA = 0,959 % Efectiva Bimensual Anticipada
IA=0,959% Efectiva Bimensual Anticipada I = ? % Efectiva Bimensual
I =
I =
I = 0.009 * 100
I = 0,968 % Efectiva Bimensual
I = 0,968 % Efectiva Bimensual
I=? % Efectiva Bimestral
(1+i)n = (1+i)n
(1+0,009)24 = (1+i)6
(1+0,009)24/6 = (1+i)6/6
JA=23,184% Nominal Semanal Anticipada
![Page 85: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/85.jpg)
(1,009)4 = 1+i
1,039= 1+i
1,039-1=i
I=0,039
I=0,039*100
I= 3,930 % Efectiva Bimestral
I=3,930 % Efectiva Bimestral
IA=?% Efectiva Bimestral Anticipada
IA =
IA =
IA = 0.037 * 100
57. Teniendo una tasa del I=35,993% Efectiva Anual , hallar una tasa Nominal Semestral Anticipada(JA=?% Nominal Semestral Anticipada) I=35,993% Efectiva Anual JA=?% Nominal Semestral Anticipada I= 35,993 % Efectiva Anual
I= ?% Efectiva Semestral
(1+i)n = (1+i)n
(1+0,359)1 = (1+i)2
(1+0,359)1/2 = (1+i)2/2
(1,359)0,5 = 1+i
1,166= 1+i
IA = 3,782 % Efectiva Bimestral Anticipada
![Page 86: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/86.jpg)
1,166-1=i
I=0,166
I=0,166*100
I= 16,616 % Efectiva Semestral
I=16,616 % Efectiva Semestral
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 0.142 * 100
IA=14,248 Efectiva Semestral Anticipada
IA = 14,248% Efectiva Semestral Anticipada
JA=14,248*2
58. Teniendo una tasa del JA=31,555% Nominal Bimestral Anticipada , hallar una tasa Efectiva Diaria Anticipada (IA=?% Efectiva Diaria Anticipada) JA=31,555% Nominal Bimestral Anticipada IA=?% Efectiva Diaria Anticipada
IA =
IA =
IA = 5,259 % Efectiva Bimestral Anticipada
IA=5,259% Efectiva Bimestral Anticipada I = ? % Efectiva Bimestral
I =
JA = 28,497 % Nominal Semestral Anticipada
![Page 87: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/87.jpg)
I =
I = 0.055 * 100
I = 5,551 % Efectiva Bimestral
I = 5,551 % Efectiva Bimestral
I=? % Efectiva Diaria
(1+i)n = (1+i)n
(1+0,055)6 = (1+i)360
(1+0,055)6/360 = (1+i)360/360
(1,055)0,016 = 1+i
1,0009= 1+i
1,0009-1=i
I=0,0009
I=0,0009*100
I= 0,090 % Efectiva Diaria
I=0,090 % Efectiva Diaria
IA=?% Efectiva Diaria Anticipada
IA =
IA =
IA = 0.0009 * 100
IA = 0,090 % Efectiva Diaria Anticipada
![Page 88: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/88.jpg)
59. Teniendo una tasa del JA=20,050% Nominal Mensual Anticipada , hallar una tasa Efectiva Semestral Anticipada(IA=?% Efectiva Semestral Anticipada)
JA=20,050% Nominal Mensual Anticipada
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 1,670 % Efectiva Mensual Anticipada
IA=1,670% Efectiva Mensual Anticipada I = ? % Efectiva Mensual
I =
I =
I = 0.016 * 100
I = 1,699 % Efectiva Mensual
I = 1,699 % Efectiva Mensual
I=? % Efectiva Semestral
(1+i)n = (1+i)n
(1+0,016)12 = (1+i)2
(1+0,016)12/2 = (1+i)2/2
(1,016)6 = 1+i
1,106= 1+i
1,106-1=i
I=0,106
I=0,106*100
![Page 89: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/89.jpg)
I= 10,638 % Efectiva Semestral
I=10,638 % Efectiva Semestral
IA=?% Efectiva Semestral Anticipada
IA =
IA =
IA = 0.096 * 100
60. Teniendo una tasa del IA=8,095% Efectiva Semestral Anticipada , hallar una tasa Nominal Bimensual Anticipada (JA=?% Nominal Bimensual Anticipada)
IA=8,095% Efectiva Semestral Anticipada
JA=?% Nominal Bimensual Anticipada
IA=8,095% Efectiva Semestral Anticipada I = ? % Efectiva Semestral
I =
I =
I = 0.088 * 100
I = 8,808 % Efectiva Semestral
I = 8,808% Efectiva Semestral
I=? % Efectiva Bimensual
IA = 9,615 % Efectiva Semestral Anticipada
![Page 90: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/90.jpg)
(1+i)n = (1+i)n
(1+0,088)2 = (1+i)24
(1+0,088)2/24 = (1+i) 24/24
(1,088)0,083 = 1+i
1,007= 1+i
1,007-1=i
I=0,007
I=0,007*100
I= 0,705 % Efectiva Bimensual
I=0,705 % Efectiva Bimensual
IA=?% Efectiva Bimensual Anticipada
IA =
IA =
IA = 0.007 * 100
IA = 0,700% Efectiva Bimensual Anticipada
IA = 0,700 % Efectiva Bimensual Anticipada
JA=0,700*24
61. Teniendo una tasa del IA=0,035% Efectiva Diaria Anticipada , hallar una tasa Nominal Mensual Anticipada (JA=?% Nominal Mensual Anticipada )
IA=0,035% Efectiva Diaria Anticipada
JA=?% Nominal Mensual Anticipada
JA = 16,823 % Nominal Bimensual
Anticipada
![Page 91: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/91.jpg)
IA=0,035% Efectiva Diaria Anticipada I = ? % Efectiva Diaria
I =
I =
I = 0.0003 * 100
I = 0,035 % Efectiva Diaria
I = 0,035% Efectiva Diaria
I=? % Efectiva Mensual
(1+i)n = (1+i)n
(1+0,0003)360 = (1+i)12
(1+0,0003)360/12 = (1+i)12/12
(1,0003)30 = 1+i
1,010= 1+i
1,010-1=i
I=0,010
I=0,010*100
I= 1,055 % Efectiva Mensual
I=1,055% Efectiva Mensual
IA=?% Efectiva Mensual Anticipada
IA =
IA =
IA = 0.010 * 100
![Page 92: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/92.jpg)
IA = 1,044% Efectiva Mensual Anticipada
IA = 1,044 % Efectiva Mensual Anticipada
JA=1,044*24
62. Teniendo una tasa del JA=21,608% Nominal Bimensual Anticipada , hallar una tasa Efectiva Bimensual Anticipada (IA=?% Efectiva Bimensual Anticipada)
JA=21,608% Nominal Bimensual Anticipada
IA=?% Efectiva Bimensual Anticipada
JA=21,608% Nominal Bimensual Anticipada
IA=21,608 / 24
63. Teniendo una tasa del IA=1,917% Efectiva Mensual Anticipada , hallar una tasa Nominal Diaria Anticipada (JA=?% Nominal Diaria Anticipada)
IA=1,917% Efectiva Mensual Anticipada
JA=?% Nominal Diaria Anticipada
I =
I =
I = 0.019 * 100
I = 1,954 % Efectiva Mensual
I = 1,954% Efectiva Mensual
JA = 12,536 % Nominal Mensual Anticipada
JA = 0,900% Nominal Bimensual Anticipada
![Page 93: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/93.jpg)
I=? % Efectiva Diaria
(1+i)n = (1+i)n
(1+0,019)12 = (1+i)360
(1+0,019)12/360 = (1+i) 360/360
(1,019)0,033 = 1+i
1,0006= 1+i
1,0006-1=i
I=0,0006
I=0,0006*100
I= 0,064 % Efectiva Diaria
I=0,064% Efectiva Diaria
IA=?% Efectiva Diaria Anticipada
IA =
IA =
IA = 0.0006 * 100
IA = 0,064% Efectiva Diaria Anticipada
IA = 0,064 % Efectiva Diaria Anticipada
JA=0,064*360
64. Teniendo una tasa del JA=22,190% Nominal Semanal Anticipada , hallar una tasa Efectiva Bimensual Anticipada(IA=?% Efectiva Bimensual Anticipada)
JA=22,190% Nominal Semanal Anticipada
IA=?% Efectiva Bimensual Anticipada
JA = 23,220 % Nominal Diaria Anticipada
![Page 94: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/94.jpg)
IA =
IA =
IA = 0,462 % Efectiva Semanal Anticipada
IA=0,462% Efectiva Semanal Anticipada I = ? % Efectiva Semanal
I =
I =
I = 0.004 * 100
I = 0,464 % Efectiva Semanal
I = 0,464 % Efectiva Semanal
I=? % Efectiva Bimensual
(1+i)n = (1+i)n
(1+0,004)48 = (1+i)24
(1+0,004)48/24 = (1+i)24/24
(1,004)2 = 1+i
1,009= 1+i
1,009-1=i
I=0,009
I=0,009*100
I= 0,931 % Efectiva Bimensual
I=0,931 % Efectiva Bimensual
IA=?% Efectiva Bimensual Anticipada
![Page 95: Taller n. 2 tasas de interes en word](https://reader034.vdocuments.site/reader034/viewer/2022052508/55a042e91a28abe2648b4845/html5/thumbnails/95.jpg)
IA =
IA =
IA = 0.009 * 100
IA = 0,922 % Efectiva Bimensual Anticipada