Tarea-3_102007_12

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Tarea 3: Series uniformes y amortizaciones 1- Alix Berrio Pertuz 2-Maria Helena Ortega Silva 3-Jose Javier Rodriguez Rodriguez 4- 5- Grupo: 12 Presentado a: Ludwin Alexander Sanchez Vargas UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA UNAD ESCUELA DE CIENCIAS ADMINISTRATIVAS, CONTABLES, ECONÓMICAS Y DE NEGOCIOS (ECACEN) Administración de Empresas Matemática Financiera 102007_1394 Valledupar Saturday, November 18, 2023 Copyright Juán Carlos Rojas Paredes Adapted Humberto Bedoya Valencia

Variables I Es el valor de los interés generados P Es el valor presente o capital inicial i Es la tasa de interés aplicada que se expresa en forma decimal o porcen n Es el tiempo de la operación financiera F Es la suma acumulada final. El capital inicial más los intereses generado A Es el valor de la anualidad Fórmulas Anualidades A = P = Interés compuesto Funciones financieras de Exc P F NPER: Hallar el tiempo de la TASA: Halla la tasa de interés n Log (F / P) VA: Halla el Valor presente Log(1 + ip) VF: Halla el Valor futuro i = Mediante Excel Conversión de tasas Formulas: Funciones financieras de Exc TASA.NOMINAL INT.EFECTIVO PAGO: Valor de la anualidad Debe recalcarse que tanto la tasa periódica de interés “i p ” como el tiempo “n” deben base, es decir que si la tasa periódica de interés es mensual el tiempo debe ser en m trimestral el tiempo debe ser trimestres, y así respectivamente. A = F i p (1 + i p ) n - 1 P (1 + i p ) n * i p (1 + i p ) n - 1 A (1 + i p ) n - 1 (1 + i p ) n * i p F = A (1 + i p ) n - 1 i p F = P x (1+i) n (1 +i) n iea = (1 + ip) n – 1 ip = ((1 + iea) 1/n ) – 1 TN = i p X no. Capitalizaciones anuales i p = TN/ no. Capitalizaciones

iea Interés efectivo anual Interés periódico n Es el numero de periodos durante los cuales se causa el interés (capitali TN Tasa nominal Gradientes Gradiente aritmético G n Creciente i G n Decreciente i Gradiente geométrico (G - i) i p iea = ((1 + i p ) (360 / días del periodo) ) - 1 i p = ((1 + iea) (días del periodo/360) ) - 1 P = A 1 (1+i) n - 1 (1+i) n - 1 i (1+i) n i (1+i) n (1+i) n P = A 1 (1+i) n - 1 (1+i) n - 1 i (1+i) n i (1+i) n (1+i) n P = A 1 [(1+G) n (1+i) -n - 1]

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ntual os cel operación financiera s cel n expresarse en la misma meses, si la tasa periódica es

izaciones)

A= -$ 3,519,031.57 CUOTA FIJA P= -$ 32,600,000 n= 12 TRIMESTRAL I= 4.22% TRIMESTRAL VARIABLES VALOR OBSERVACIONES P $ 32,600,000.00 IEA 18% EFECTIVO ANUAL PLAZO 3 AÑOS PERIODO DEL AÑO 4 TRIMESTRAL NPER 12 TRIMESTRAL IPV ? TRIMESTRAL IPV 0.042246635456321 TRIMESTRAL A -$ 3,519,031.57 PERIODO #CUOTAS SALDO INICIAL INTERES 0 0 1 1 $ 32,600,000.00 $ 1,377,240.32 2 2 $ 30,458,208.74 $ 1,286,756.84 3 3 $ 28,225,934.01 $ 1,192,450.74 4 4 $ 25,899,353.18 $ 1,094,160.53 5 5 $ 23,474,482.14 $ 991,717.89 6 6 $ 20,947,168.46 $ 884,947.39 7 7 $ 18,313,084.27 $ 773,666.20 8 8 $ 15,567,718.90 $ 657,683.75 9 9 $ 12,706,371.07 $ 536,801.43 10 10 $ 9,724,140.92 $ 410,812.24 11 11 $ 6,615,921.58 $ 279,500.43 12 12 $ 3,376,390.44 $ 142,641.14 2. Si se ahorran cada mes $ 250.000 en una entidad financiera que le reconoce el 10.2 P= ? -$ 10,477,274.41 1. Un vehículo se adquiere mediante una cuota inicial del 40% del valor de contado, q trimestrales durante tres años. ¿A cuánto ascenderá cada cuota fija que se debe trimestralmente

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A= $ 250,000.00 MENSUAL n= 36 MESES I= 0.85% MENSUAL NAPER DEPOSITO INTERES DEPOSITO + INTERES 0 $ 250,000.00 $ 2,125.00 $ 252,125.00 1 $ 250,000.00 $ 2,143.06 $ 252,143.06 2 $ 250,000.00 $ 4,286.28 $ 254,286.28 3 $ 250,000.00 $ 6,447.71 $ 256,447.71 4 $ 250,000.00 $ 8,627.52 $ 258,627.52 5 $ 250,000.00 $ 10,825.85 $ 260,825.85 6 $ 250,000.00 $ 13,042.87 $ 263,042.87 7 $ 250,000.00 $ 15,278.74 $ 265,278.74 8 $ 250,000.00 $ 17,533.60 $ 267,533.60 9 $ 250,000.00 $ 19,807.64 $ 269,807.64 10 $ 250,000.00 $ 22,101.01 $ 272,101.01 11 $ 250,000.00 $ 24,413.86 $ 274,413.86 12 $ 250,000.00 $ 26,746.38 $ 276,746.38 13 $ 250,000.00 $ 29,098.73 $ 279,098.73 14 $ 250,000.00 $ 31,471.07 $ 281,471.07 15 $ 250,000.00 $ 33,863.57 $ 283,863.57 16 $ 250,000.00 $ 36,276.41 $ 286,276.41 17 $ 250,000.00 $ 38,709.76 $ 288,709.76 18 $ 250,000.00 $ 41,163.79 $ 291,163.79 19 $ 250,000.00 $ 43,638.68 $ 293,638.68 20 $ 250,000.00 $ 46,134.61 $ 296,134.61 21 $ 250,000.00 $ 48,651.76 $ 298,651.76 22 $ 250,000.00 $ 51,190.30 $ 301,190.30 23 $ 250,000.00 $ 53,750.41 $ 303,750.41 24 $ 250,000.00 $ 56,332.29 $ 306,332.29 25 $ 250,000.00 $ 58,936.12 $ 308,936.12 26 $ 250,000.00 $ 61,562.07 $ 311,562.07 27 $ 250,000.00 $ 64,210.35 $ 314,210.35 28 $ 250,000.00 $ 66,881.14 $ 316,881.14 29 $ 250,000.00 $ 69,574.63 $ 319,574.63 30 $ 250,000.00 $ 72,291.01 $ 322,291.01 31 $ 250,000.00 $ 75,030.49 $ 325,030.49 32 $ 250,000.00 $ 77,793.25 $ 327,793.25 33 $ 250,000.00 $ 80,579.49 $ 330,579.49 34 $ 250,000.00 $ 83,389.42 $ 333,389.42 35 $ 250,000.00 $ 86,223.23 $ 336,223.23 36 $ 250,000.00 $ 89,081.12 $ 339,081.12 P= ? $ 17,523,507.44 A= -$ 1,250,000.00 SEMESTRALES 3. ¿Cuál es el capital prestado por una entidad financiera si la deuda se amortizó m 1.250.000, en la que se acordó una tasa de interés efectivo anual d

n= 30 SEMESTRALES I= 6% SEMESTRALES VARIABLES VALOR OBSERVACIONES P -$ 17,523,507.44 IEA 12% EFECTIVO ANUAL PLAZO 5 AÑOS PERIODO DEL AÑO 2 SEMESTRAL NPER 30 SEMESTRE IPV ? SEMESTRAL IPV 0.058300524425836 SEMESTRAL A $ 1,250,000.00 SEMSATRAL NAPER #CUOTAS SALDO INICIAL INTERES 0 0 -$ 17,523,507.4 1 1 -$ 17,523,507.44 -$ 1,021,629.67 2 2 -$ 17,295,137.11 -$ 1,008,315.56 3 3 -$ 17,053,452.68 -$ 994,225.23 4 4 -$ 16,797,677.91 -$ 979,313.43 5 5 -$ 16,526,991.34 -$ 963,532.26 6 6 -$ 16,240,523.60 -$ 946,831.04 7 7 -$ 15,937,354.65 -$ 929,156.13 8 8 -$ 15,616,510.78 -$ 910,450.77 9 9 -$ 15,276,961.55 -$ 890,654.87 10 10 -$ 14,917,616.42 -$ 869,704.86 11 11 -$ 14,537,321.28 -$ 847,533.45 12 12 -$ 14,134,854.73 -$ 824,069.44 13 13 -$ 13,708,924.18 -$ 799,237.47 14 14 -$ 13,258,161.64 -$ 772,957.78 15 15 -$ 12,781,119.42 -$ 745,145.97 16 16 -$ 12,276,265.39 -$ 715,712.71 17 17 -$ 11,741,978.10 -$ 684,563.48 18 18 -$ 11,176,541.58 -$ 651,598.24 19 19 -$ 10,578,139.81 -$ 616,711.10 20 20 -$ 9,944,850.91 -$ 579,790.02 21 21 -$ 9,274,640.93 -$ 540,716.43 22 22 -$ 8,565,357.37 -$ 499,364.83 23 23 -$ 7,814,722.19 -$ 455,602.40 24 24 -$ 7,020,324.59 -$ 409,288.61 25 25 -$ 6,179,613.20 -$ 360,274.69 26 26 -$ 5,289,887.89 -$ 308,403.24 27 27 -$ 4,348,291.13 -$ 253,507.65 28 28 -$ 3,351,798.78 -$ 195,411.63 29 29 -$ 2,297,210.41 -$ 133,928.57

30 30 -$ 1,181,138.98 -$ 68,861.02

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Ejercicios de Anu … 0 1 2 3 FORMULAS A UTILIZAR A = ABONO A CAPITAL (Ak) CUOTA (Ak) SALDO FINAL (Sk) A $ 32,600,000.00 P -$ 2,141,791.26 -$ 3,519,031.57 $ 30,458,208.74 N -$ 2,232,274.73 -$ 3,519,031.57 $ 28,225,934.01 I -$ 2,326,580.83 -$ 3,519,031.57 $ 25,899,353.18 -$ 2,424,871.04 -$ 3,519,031.57 $ 23,474,482.14 -$ 2,527,313.68 -$ 3,519,031.57 $ 20,947,168.46 -$ 2,634,084.18 -$ 3,519,031.57 $ 18,313,084.27 -$ 2,745,365.38 -$ 3,519,031.57 $ 15,567,718.90 -$ 2,861,347.83 -$ 3,519,031.57 $ 12,706,371.07 -$ 2,982,230.15 -$ 3,519,031.57 $ 9,724,140.92 -$ 3,108,219.34 -$ 3,519,031.57 $ 6,615,921.58 -$ 3,239,531.15 -$ 3,519,031.57 $ 3,376,390.44 -$ 3,376,390.44 -$ 3,519,031.57 $ 0.00 20% NACM ¿Cuál será el monto al cabo de 3 años? P=? que es de $ 54.000.000 y el saldo se financia mediante el pago de cuotas e pagar si la tasa de interés nominal anual es del 18% capitalizable e? P (1 + i p ) n * i p (1 + i p ) n - 1 I= 4,5%TRIMESTRAL =4,484,827 0 $250,000 ... 𝐼𝑃?= (1 + 𝑖𝑒𝑎)^( /360 (?𝐼?????𝑃??𝐼??? )-1

1 2 3 ….. 12 I=0,28% SALDO $ 252,125.00 $ 504,268.06 P= $ 250,000.00 $ 758,554.34 A= $250000 $ 1,015,002.05 N= 36 $ 1,273,629.57 I= 0.85% $ 1,534,455.42 $ 1,797,498.29 $ 2,062,777.03 $ 2,330,310.63 $ 2,600,118.27 $ 2,872,219.28 $ 3,146,633.14 $ 3,423,379.52 $ 3,702,478.25 $ 3,983,949.32 $ 4,267,812.88 $ 4,554,089.29 $ 4,842,799.05 $ 5,133,962.85 $ 5,427,601.53 $ 5,723,736.14 $ 6,022,387.90 $ 6,323,578.20 $ 6,627,328.61 $ 6,933,660.90 $ 7,242,597.02 $ 7,554,159.10 $ 7,868,369.45 $ 8,185,250.59 $ 8,504,825.22 $ 8,827,116.23 $ 9,152,146.72 $ 9,479,939.97 $ 9,810,519.46 $ 10,143,908.87 $ 10,480,132.10 $ 10,819,213.22 30 mediante pagos semestrales iguales de $ del 12% durante 5 años? 0 $250,000 ... ... I= 6%

FORMULAS A UTILIZAR P = ABONO A CAPITAL (Ak) CUOTA (Ak) SALDOFINAL (Sk) -$ 17,523,507.44 $ 228,370.33 $ 1,250,000.0 -$ 17,295,137.11 $ 241,684.44 $ 1,250,000.0 -$ 17,053,452.68 $ 255,774.77 $ 1,250,000.0 -$ 16,797,677.91 $ 270,686.57 $ 1,250,000.0 -$ 16,526,991.34 $ 286,467.74 $ 1,250,000.0 -$ 16,240,523.60 $ 303,168.96 $ 1,250,000.0 -$ 15,937,354.65 $ 320,843.87 $ 1,250,000.0 -$ 15,616,510.78 $ 339,549.23 $ 1,250,000.0 -$ 15,276,961.55 $ 359,345.13 $ 1,250,000.0 -$ 14,917,616.42 $ 380,295.14 $ 1,250,000.0 -$ 14,537,321.28 $ 402,466.55 $ 1,250,000.0 -$ 14,134,854.73 $ 425,930.56 $ 1,250,000.0 -$ 13,708,924.18 $ 450,762.53 $ 1,250,000.0 -$ 13,258,161.64 $ 477,042.22 $ 1,250,000.0 -$ 12,781,119.42 $ 504,854.03 $ 1,250,000.0 -$ 12,276,265.39 $ 534,287.29 $ 1,250,000.0 -$ 11,741,978.10 $ 565,436.52 $ 1,250,000.0 -$ 11,176,541.58 $ 598,401.76 $ 1,250,000.0 -$ 10,578,139.81 $ 633,288.90 $ 1,250,000.0 -$ 9,944,850.91 $ 670,209.98 $ 1,250,000.0 -$ 9,274,640.93 $ 709,283.57 $ 1,250,000.0 -$ 8,565,357.37 $ 750,635.17 $ 1,250,000.0 -$ 7,814,722.19 $ 794,397.60 $ 1,250,000.0 -$ 7,020,324.59 $ 840,711.39 $ 1,250,000.0 -$ 6,179,613.20 $ 889,725.31 $ 1,250,000.0 -$ 5,289,887.89 $ 941,596.76 $ 1,250,000.0 -$ 4,348,291.13 $ 996,492.35 $ 1,250,000.0 -$ 3,351,798.78 $ 1,054,588.37 $ 1,250,000.0 -$ 2,297,210.41 $ 1,116,071.43 $ 1,250,000.0 -$ 1,181,138.98 A (1 + i p ) n - 1 (1 + i p ) n * i p 0 1 2 3 ... $1,250,000 𝐼𝑃?= (1 + 𝑖𝑒𝑎)^( /360 (?𝐼?????𝑃??𝐼??? )-1

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$ 1,181,138.98 $ 1,250,000.0 $ 0.00

ualidades 9 - 3,519,031.6 -$ 32,600,000 12 4.22%

P= $ 17,523,507.4 A= -$ 1,250,000.0 N= 30 I= 6%

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Ejercic Banco Cafetero: Plazo 3 años, tasa de interés 15% EA, cu VARIABLES VALOR OBSERVACIONES P $ 350,000,000.00 A = IEA 15% EFECTIVO ANUAL PLAZO 3 AÑOS PERIODO DEL 12 MENSUAL NPER 36 MESES IPV ? MENSUAL IPV 0.011714916919853 MENSUAL A ? A -$ 11,972,015.35 A= ? -$ 11,972,015.35 P= $ 350,000,000.00 I= 1.17% MENSUAL N= 36 MESES NAPER #CUOTAS SALDO INICIAL INTERES 0 0 MENSUAL 1 1 $ 350,000,000.00 $ 4,100,220.92 2 2 $ 342,128,205.57 $ 4,008,003.50 3 3 $ 334,164,193.73 $ 3,914,705.77 4 4 $ 326,106,884.15 $ 3,820,315.05 5 5 $ 317,955,183.85 $ 3,724,818.56 6 6 $ 309,707,987.07 $ 3,628,203.34 7 7 $ 301,364,175.06 $ 3,530,456.27 8 8 $ 292,922,615.98 $ 3,431,564.11 9 9 $ 284,382,164.74 $ 3,331,513.43 10 10 $ 275,741,662.83 $ 3,230,290.67 11 11 $ 266,999,938.15 $ 3,127,882.09 12 12 $ 258,155,804.90 $ 3,024,273.81 13 13 $ 249,208,063.35 $ 2,919,451.76 14 14 $ 240,155,499.76 $ 2,813,401.73 15 15 $ 230,996,886.14 $ 2,706,109.33 16 16 $ 221,730,980.12 $ 2,597,560.01 La empresa Tropical S.A.S. necesita financiar la adquisición de un vehículo, para lo cual r alternativas de financiación: 𝐼𝑃?= (1 + 𝑖𝑒𝑎)^((?𝐼?????𝑃

17 17 $ 212,356,524.79 $ 2,487,739.05 18 18 $ 202,872,248.48 $ 2,376,631.54 19 19 $ 193,276,864.67 $ 2,264,222.41 20 20 $ 183,569,071.74 $ 2,150,496.42 21 21 $ 173,747,552.81 $ 2,035,438.15 22 22 $ 163,810,975.61 $ 1,919,031.97 23 23 $ 153,757,992.23 $ 1,801,262.10 24 24 $ 143,587,238.99 $ 1,682,112.58 25 25 $ 133,297,336.21 $ 1,561,567.22 26 26 $ 122,886,888.08 $ 1,439,609.68 27 27 $ 112,354,482.42 $ 1,316,223.43 28 28 $ 101,698,690.50 $ 1,191,391.71 29 29 $ 90,918,066.86 $ 1,065,097.60 30 30 $ 80,011,149.11 $ 937,323.96 31 31 $ 68,976,457.73 $ 808,053.47 32 32 $ 57,812,495.85 $ 677,268.59 33 33 $ 46,517,749.09 $ 544,951.57 34 34 $ 35,090,685.30 $ 411,084.46 35 35 $ 23,529,754.42 $ 275,649.12 36 36 $ 11,833,388.19 $ 138,627.16 Banco Nacional: Plazo 36 meses, tasa de interés 3.56% trimestre vencido, periodo de gra VARIABLES VALOR OBSERVACIONES P $ 350,000,000.00 A = IEA 14% EFECTIVO ANUAL PLAZO 3 AÑOS 4 TRIMESTRAL NPER 12 TRIMESTRE periodo gracia 2 trimestral IPV ? TRIMESTAL IPV 0.0356 TREMETRAL NPER 1 10 A -$ 42,211,848.33 A= ? -$ 36,347,394.75 P= $ 350,000,000.00 I= -$ 42,211,848.33 TRIMESTRAL N= 12 TRIMESTRAL NAPER #CUOTAS SALDO INICIAL INTERES PERIODO DEL AÑO PERIODOS DE AMORTIZACION 𝐼𝑃?= (1 + 𝑖𝑒𝑎)^((?𝐼?????𝑃 𝐼𝑃?= (1 + 𝑖𝑒𝑎)^((?𝐼?????𝑃

0 0 1 1 $ 350,000,000.00 $ 12,460,000.00 2 2 $ 350,000,000.0 $ 12,460,000.00 3 3 $ 350,000,000.00 $ 12,460,000.00 4 4 $ 320,248,151.67 $ 11,400,834.20 5 5 $ 289,437,137.54 $ 10,303,962.10 6 6 $ 257,529,251.31 $ 9,168,041.35 7 7 $ 224,485,444.32 $ 7,991,681.82 8 8 $ 190,265,277.81 $ 6,773,443.89 9 9 $ 154,826,873.37 $ 5,511,836.69 10 10 $ 118,126,861.74 $ 4,205,316.28 11 11 $ 80,120,329.68 $ 2,852,283.74 12 12 $ 40,760,765.09 $ 1,451,083.24 A= ? -$ 73,417,937.37 P= $ 350,000,000.00 I= 7.00% SEMESTRE N= 6 SEMESTRAL VARIABLES VALOR OBSERVACIONES P $ 350,000,000.00 A = IEA 14% EFECTIVO ANUAL PLAZO 3 AÑOS PERIODO DEL 2 SEMESTRAL NPER 6 SEMESTRAL IPV ? SEMESTRAL IPV 0.069953270007621 SEMESTRAL A ? A -$ 73,417,937.37 PERIODO #CUOTAS SALDO INICIAL INTERES 0 $ 350,000,000.00 1 1 $ 350,000,000.00 $ 24,483,644.50 2 2 $ 301,065,707.13 $ 21,060,530.70 3 3 $ 248,708,300.46 $ 17,397,958.90 4 4 $ 192,688,321.99 $ 13,479,178.22 5 5 $ 132,749,562.84 $ 9,286,266.01 6 6 $ 68,617,891.48 $ 4,800,045.89 Banco Comercial: Plazo 3 años, tasa de interés 7,24% semestre vencido, cuota fija. Se millones que se realizará al final del año 𝐼𝑃?= (1 + 𝑖𝑒𝑎)^((?𝐼?????𝑃 𝐼𝑃?= (1 + 𝑖𝑒𝑎)^((?𝐼?????𝑃

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cios de Amortizacion uota fija mensual. FORMULAS A UTILIZAR A= $ 11,867,195.00 P= $ 350,000,000.00 I= 1.17% N= 36 ABONO A CAPITAL (Ak) CUOTA (Ak) SALDO FINAL (Sk) $ 350,000,000.00 -$ 7,871,794.43 -$ 11,972,015.3 $ 342,128,205.57 -$ 7,964,011.84 -$ 11,972,015.3 $ 334,164,193.73 -$ 8,057,309.58 -$ 11,972,015.3 $ 326,106,884.15 -$ 8,151,700.29 -$ 11,972,015.3 $ 317,955,183.85 -$ 8,247,196.79 -$ 11,972,015.3 $ 309,707,987.07 -$ 8,343,812.01 -$ 11,972,015.3 $ 301,364,175.06 -$ 8,441,559.08 -$ 11,972,015.3 $ 292,922,615.98 -$ 8,540,451.24 -$ 11,972,015.3 $ 284,382,164.74 -$ 8,640,501.92 -$ 11,972,015.3 $ 275,741,662.83 -$ 8,741,724.68 -$ 11,972,015.3 $ 266,999,938.15 -$ 8,844,133.26 -$ 11,972,015.3 $ 258,155,804.90 -$ 8,947,741.54 -$ 11,972,015.3 $ 249,208,063.35 -$ 9,052,563.59 -$ 11,972,015.3 $ 240,155,499.76 -$ 9,158,613.62 -$ 11,972,015.3 $ 230,996,886.14 -$ 9,265,906.02 -$ 11,972,015.3 $ 221,730,980.12 -$ 9,374,455.34 -$ 11,972,015.3 $ 212,356,524.79 requiere 350 millones y cuenta con las siguientes P (1 + i p ) n * i p (1 + i p ) n - 1 𝑃??𝐼???/360)−1

-$ 9,484,276.30 -$ 11,972,015.3 $ 202,872,248.48 -$ 9,595,383.81 -$ 11,972,015.3 $ 193,276,864.67 -$ 9,707,792.94 -$ 11,972,015.3 $ 183,569,071.74 -$ 9,821,518.92 -$ 11,972,015.3 $ 173,747,552.81 -$ 9,936,577.20 -$ 11,972,015.3 $ 163,810,975.61 -$ 10,052,983.38 -$ 11,972,015.3 $ 153,757,992.23 -$ 10,170,753.24 -$ 11,972,015.3 $ 143,587,238.99 -$ 10,289,902.77 -$ 11,972,015.3 $ 133,297,336.21 -$ 10,410,448.13 -$ 11,972,015.3 $ 122,886,888.08 -$ 10,532,405.66 -$ 11,972,015.3 $ 112,354,482.42 -$ 10,655,791.92 -$ 11,972,015.3 $ 101,698,690.50 -$ 10,780,623.64 -$ 11,972,015.3 $ 90,918,066.86 -$ 10,906,917.75 -$ 11,972,015.3 $ 80,011,149.11 -$ 11,034,691.38 -$ 11,972,015.3 $ 68,976,457.73 -$ 11,163,961.88 -$ 11,972,015.3 $ 57,812,495.85 -$ 11,294,746.76 -$ 11,972,015.3 $ 46,517,749.09 -$ 11,427,063.78 -$ 11,972,015.3 $ 35,090,685.30 -$ 11,560,930.89 -$ 11,972,015.3 $ 23,529,754.42 -$ 11,696,366.23 -$ 11,972,015.3 $ 11,833,388.19 -$ 11,833,388.19 -$ 11,972,015.3 $ 0.00 acia 1 semestre. FORMULAS A UTILIZAR ABONO A CAPITAL (Ak) CUOTA (Ak) SALDOFINAL (Sk) P (1 + i p ) n * i p (1 + i p ) n - 1 𝑃??𝐼???/360)−1 𝑃??𝐼???/360)−1

$ 350,000,000.00 $ 350,000,000.00 $ 350,000,000.00 -$ 29,751,848.33 -$ 42,211,848.3 $ 320,248,151.67 -$ 30,811,014.13 -$ 42,211,848.3 $ 289,437,137.54 -$ 31,907,886.23 -$ 42,211,848.3 $ 257,529,251.31 -$ 33,043,806.98 -$ 42,211,848.3 $ 224,485,444.32 -$ 34,220,166.51 -$ 42,211,848.3 $ 190,265,277.81 -$ 35,438,404.44 -$ 42,211,848.3 $ 154,826,873.37 -$ 36,700,011.64 -$ 42,211,848.3 $ 118,126,861.74 -$ 38,006,532.05 -$ 42,211,848.3 $ 80,120,329.68 -$ 39,359,564.59 -$ 42,211,848.3 $ 40,760,765.09 -$ 40,760,765.09 -$ 42,211,848.3 $ 0.00 FORMULAS A UTILIZAR ABONO A CAPITAL (Ak) CUOTA (Ak) SALDOFINAL (Sk) $ 350,000,000.00 -$ 48,934,292.87 -$ 73,417,937.37 $ 301,065,707.13 -$ 52,357,406.67 -$ 73,417,937.37 $ 248,708,300.46 -$ 56,019,978.47 -$ 73,417,937.37 $ 192,688,321.99 -$ 59,938,759.15 -$ 73,417,937.37 $ 132,749,562.84 -$ 64,131,671.36 -$ 73,417,937.37 $ 68,617,891.48 -$ 68,617,891.48 -$ 73,417,937.37 $ 0.00 e contempla un abono extraordinario de $ 50 2 P (1 + i p ) n * i p (1 + i p ) n - 1 𝑃??𝐼???/360)−1 𝑃??𝐼???/360)−1

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Ejercicio VARIABLESVALOR OBSERVACIONES N P $ 84,000,000.00 0 Pagos trimestrales 1 g $ 1,000,000.00 Desendiente 2 Plazo 3 Años 3 Tasa 2.56% Trimestal vencida 4 No. de perio 4 Trimestal 5 NPER 12 Trimestral 6 7 8 9 10 11 12 Una empresa desea adquirir una máquina cuyo valor de contado es de $ 120.000.000. Si se da una cu financia a 3 años mediante cuotas trimestrales, ¿Cuál debe ser el valor de estos abonos si cada uno interés es de 2,56% trimestral vencida.

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os de gradientes Cuota Interesses Capital Saldo de capital $ 84,000,000.00 $ 13,417,933.67 $ 2,150,400.00 $ 11,267,533.67 $ 72,732,466.33 $ 12,417,933.67 $ 1,861,951.14 $ 10,555,982.53 $ 62,176,483.80 $ 11,417,933.67 $ 1,591,717.99 $ 9,826,215.68 $ 52,350,268.11 $ 10,417,933.67 $ 1,340,166.86 $ 9,077,766.81 $ 43,272,501.31 $ 9,417,933.67 $ 1,107,776.03 $ 8,310,157.64 $ 34,962,343.67 $ 8,417,933.67 $ 895,036.00 $ 7,522,897.67 $ 27,439,446.00 $ 7,417,933.67 $ 702,449.82 $ 6,715,483.85 $ 20,723,962.15 $ 6,417,933.67 $ 530,533.43 $ 5,887,400.24 $ 14,836,561.91 $ 5,417,933.67 $ 379,815.98 $ 5,038,117.69 $ 9,798,444.22 $ 4,417,933.67 $ 250,840.17 $ 4,167,093.50 $ 5,631,350.72 $ 3,417,933.67 $ 144,162.58 $ 3,273,771.09 $ 2,357,579.63 $ 2,417,933.67 $ 60,354.04 $ 2,357,579.63 $ 0.00 uota inicial del 30% del valor de contado y el resto se o será $ 1.000.000 menor que el anterior? La tasa de

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