PORTADA

MATEMATICA FINANCIERA

PROYECTO DE AULAEVALUACIN DE LA FINANCIACIN PARA UN PROYECTO DE INVERSIN

PRESENTADO POR:

JUAN CAMILO TRUJILLO VALDERRAMA - CODIGO1221480062JOSE EDUARDO SANCHEZ ACERO - CODIGO 1311640141

TUTOR:

JUAN PABLO MONROY

INSTITUCION UNIVERSITARIA POLITCNICO GRANCOLOMBIANOFACULTAD DE CIENCIAS ADMINISTRATIVAS, ECONMICAS Y CONTABLES

BOGOTA - COLOMBIA

2015

BANCO CORPBANCA TABLA DE AMORTIZACION

VALOR DEL PRESTAMO$ 240,000,000.00CUOTA NVALOR CUOTAPAGO DE INTERES AMORTIZACINSALDO EFA9.0%1$ 4,941,195.89$ 1,729,757.60$ 3,211,438.30$ 236,788,561.70PLAZO 602$ 4,941,195.89$ 1,706,611.72$ 3,234,584.17$ 233,553,977.53VALOR DE LA CUOTA $ 4,941,195.893$ 4,941,195.89$ 1,683,299.03$ 3,257,896.86$ 230,296,080.67PERIODO DE GRACIA 04$ 4,941,195.89$ 1,659,818.31$ 3,281,377.58$ 227,014,703.095$ 4,941,195.89$ 1,636,168.36$ 3,305,027.53$ 223,709,675.56TASA NOMINAL 8.649%6$ 4,941,195.89$ 1,612,347.96$ 3,328,847.93$ 220,380,827.638.65%7$ 4,941,195.89$ 1,588,355.88$ 3,352,840.01$ 217,027,987.628$ 4,941,195.89$ 1,564,190.88$ 3,377,005.02$ 213,650,982.60TASA PERIODICA 9$ 4,941,195.89$ 1,539,851.71$ 3,401,344.18$ 210,249,638.420.72%10$ 4,941,195.89$ 1,515,337.12$ 3,425,858.77$ 206,823,779.6511$ 4,941,195.89$ 1,490,645.85$ 3,450,550.04$ 203,373,229.60INTERES0.72%12$ 4,941,195.89$ 1,465,776.62$ 3,475,419.27$ 199,897,810.3313$ 4,941,195.89$ 1,440,728.15$ 3,500,467.74$ 196,397,342.5914$ 4,941,195.89$ 1,415,499.15$ 3,525,696.75$ 192,871,645.8415$ 4,941,195.89$ 1,390,088.31$ 3,551,107.58$ 189,320,538.2616$ 4,941,195.89$ 1,364,494.33$ 3,576,701.56$ 185,743,836.7017$ 4,941,195.89$ 1,338,715.89$ 3,602,480.01$ 182,141,356.6918$ 4,941,195.89$ 1,312,751.65$ 3,628,444.24$ 178,512,912.4519$ 4,941,195.89$ 1,286,600.28$ 3,654,595.62$ 174,858,316.8320$ 4,941,195.89$ 1,260,260.42$ 3,680,935.47$ 171,177,381.3621$ 4,941,195.89$ 1,233,730.73$ 3,707,465.16$ 167,469,916.2022$ 4,941,195.89$ 1,207,009.83$ 3,734,186.06$ 163,735,730.14l23$ 4,941,195.89$ 1,180,096.35$ 3,761,099.55$ 159,974,630.6024$ 4,941,195.89$ 1,152,988.89$ 3,788,207.01$ 156,186,423.5925$ 4,941,195.89$ 1,125,686.05$ 3,815,509.84$ 152,370,913.7526$ 4,941,195.89$ 1,098,186.44$ 3,843,009.45$ 148,527,904.3027$ 4,941,195.89$ 1,070,488.63$ 3,870,707.26$ 144,657,197.0328$ 4,941,195.89$ 1,042,591.19$ 3,898,604.70$ 140,758,592.3329$ 4,941,195.89$ 1,014,492.68$ 3,926,703.21$ 136,831,889.1230$ 4,941,195.89$ 986,191.66$ 3,955,004.23$ 132,876,884.9031$ 4,941,195.89$ 957,686.67$ 3,983,509.22$ 128,893,375.6832$ 4,941,195.89$ 928,976.23$ 4,012,219.66$ 124,881,156.0233$ 4,941,195.89$ 900,058.87$ 4,041,137.02$ 120,840,018.9934$ 4,941,195.89$ 870,933.09$ 4,070,262.81$ 116,769,756.1935$ 4,941,195.89$ 841,597.39$ 4,099,598.51$ 112,670,157.6836$ 4,941,195.89$ 812,050.25$ 4,129,145.64$ 108,541,012.0437$ 4,941,195.89$ 782,290.17$ 4,158,905.72$ 104,382,106.3238$ 4,941,195.89$ 752,315.59$ 4,188,880.30$ 100,193,226.0239$ 4,941,195.89$ 722,124.97$ 4,219,070.92$ 95,974,155.1040$ 4,941,195.89$ 691,716.77$ 4,249,479.13$ 91,724,675.9741$ 4,941,195.89$ 661,089.40$ 4,280,106.50$ 87,444,569.4842$ 4,941,195.89$ 630,241.28$ 4,310,954.61$ 83,133,614.8743$ 4,941,195.89$ 599,170.84$ 4,342,025.05$ 78,791,589.8244$ 4,941,195.89$ 567,876.46$ 4,373,319.43$ 74,418,270.3945$ 4,941,195.89$ 536,356.54$ 4,404,839.36$ 70,013,431.0346$ 4,941,195.89$ 504,609.43$ 4,436,586.46$ 65,576,844.5747$ 4,941,195.89$ 472,633.52$ 4,468,562.37$ 61,108,282.2048$ 4,941,195.89$ 440,427.15$ 4,500,768.74$ 56,607,513.4649$ 4,941,195.89$ 407,988.65$ 4,533,207.24$ 52,074,306.2250$ 4,941,195.89$ 375,316.36$ 4,565,879.53$ 47,508,426.6951$ 4,941,195.89$ 342,408.59$ 4,598,787.30$ 42,909,639.3952$ 4,941,195.89$ 309,263.64$ 4,631,932.25$ 38,277,707.1453$ 4,941,195.89$ 275,879.81$ 4,665,316.08$ 33,612,391.0654$ 4,941,195.89$ 242,255.37$ 4,698,940.52$ 28,913,450.5455$ 4,941,195.89$ 208,388.59$ 4,732,807.31$ 24,180,643.2356$ 4,941,195.89$ 174,277.71$ 4,766,918.18$ 19,413,725.0557$ 4,941,195.89$ 139,920.99$ 4,801,274.90$ 14,612,450.1658$ 4,941,195.89$ 105,316.65$ 4,835,879.24$ 9,776,570.9259$ 4,941,195.89$ 70,462.91$ 4,870,732.98$ 4,905,837.9360$ 4,941,195.89$ 35,357.96$ 4,905,837.930.0

TOTAL$ 296,471,753.51$ 56,471,753.51$ 240,000,000.00

BANCO COLPATRIATABLA DE AMORTIZACION

VALOR DEL PRESTAMO$ 240,000,000.00CUOTA NVALOR CUOTAPAGO DE INTERES AMORTIZACINSALDO EFA11.0%0$ 240,000,000.00PLAZO 601$ 0$ 2,096,303($ 2,096,303)$ 242,096,302.52VALOR DE LA CUOTA $ 5,893,346.952$ 0$ 2,114,613($ 2,114,613)$ 244,210,915.39PERIODO DE GRACIA 63$ 0$ 2,133,083($ 2,133,083)$ 246,343,998.544$ 0$ 2,151,715($ 2,151,715)$ 248,495,713.31TASA NOMINAL 10.48%5$ 0$ 2,170,509($ 2,170,509)$ 250,666,222.4310.48%6$ 0$ 2,189,468($ 2,189,468)$ 252,855,690.077$ 5,893,346.95$ 2,208,592$ 3,684,755$ 249,170,934.87TASA PERIODICA 8$ 5,893,346.95$ 2,176,407$ 3,716,940$ 245,453,994.830.87%9$ 5,893,346.95$ 2,143,941$ 3,749,406$ 241,704,588.8210$ 5,893,346.95$ 2,111,191$ 3,782,156$ 237,922,433.28INTERES0.87%11$ 5,893,346.95$ 2,078,156$ 3,815,191$ 234,107,242.1512$ 5,893,346.95$ 2,044,832$ 3,848,515$ 230,258,726.8713$ 5,893,346.95$ 2,011,216$ 3,882,130$ 226,376,596.3714$ 5,893,346.95$ 1,977,308$ 3,916,039$ 222,460,557.0415$ 5,893,346.95$ 1,943,103$ 3,950,244$ 218,510,312.7016$ 5,893,346.95$ 1,908,599$ 3,984,748$ 214,525,564.5817$ 5,893,346.95$ 1,873,794$ 4,019,553$ 210,506,011.3018$ 5,893,346.95$ 1,838,685$ 4,054,662$ 206,451,348.8619$ 5,893,346.95$ 1,803,269$ 4,090,078$ 202,361,270.5820$ 5,893,346.95$ 1,767,544$ 4,125,803$ 198,235,467.1421$ 5,893,346.95$ 1,731,506$ 4,161,841$ 194,073,626.4722$ 5,893,346.95$ 1,695,154$ 4,198,193$ 189,875,433.8223$ 5,893,346.95$ 1,658,485$ 4,234,862$ 185,640,571.6624$ 5,893,346.95$ 1,621,495$ 4,271,852$ 181,368,719.7025$ 5,893,346.95$ 1,584,182$ 4,309,165$ 177,059,554.8526$ 5,893,346.95$ 1,546,543$ 4,346,804$ 172,712,751.2027$ 5,893,346.95$ 1,508,576$ 4,384,771$ 168,327,979.9828$ 5,893,346.95$ 1,470,277$ 4,423,070$ 163,904,909.5629$ 5,893,346.95$ 1,431,643$ 4,461,704$ 159,443,205.4230$ 5,893,346.95$ 1,392,672$ 4,500,675$ 154,942,530.1131$ 5,893,346.95$ 1,353,360$ 4,539,987$ 150,402,543.2332$ 5,893,346.95$ 1,313,705$ 4,579,642$ 145,822,901.4033$ 5,893,346.95$ 1,273,704$ 4,619,643$ 141,203,258.2734$ 5,893,346.95$ 1,233,353$ 4,659,994$ 136,543,264.4235$ 5,893,346.95$ 1,192,650$ 4,700,697$ 131,842,567.4336$ 5,893,346.95$ 1,151,591$ 4,741,756$ 127,100,811.7537$ 5,893,346.95$ 1,110,174$ 4,783,173$ 122,317,638.7738$ 5,893,346.95$ 1,068,395$ 4,824,952$ 117,492,686.7139$ 5,893,346.95$ 1,026,251$ 4,867,096$ 112,625,590.6640$ 5,893,346.95$ 983,739$ 4,909,608$ 107,715,982.4941$ 5,893,346.95$ 940,855$ 4,952,492$ 102,763,490.9042$ 5,893,346.95$ 897,597$ 4,995,750$ 97,767,741.3043$ 5,893,346.95$ 853,962$ 5,039,385$ 92,728,355.8644$ 5,893,346.95$ 809,945$ 5,083,402$ 87,644,953.4445$ 5,893,346.95$ 765,543$ 5,127,804$ 82,517,149.5546$ 5,893,346.95$ 720,754$ 5,172,593$ 77,344,556.3947$ 5,893,346.95$ 675,573$ 5,217,774$ 72,126,782.7248$ 5,893,346.95$ 629,998$ 5,263,349$ 66,863,433.9349$ 5,893,346.95$ 584,025$ 5,309,322$ 61,554,111.9150$ 5,893,346.95$ 537,650$ 5,355,697$ 56,198,415.1351$ 5,893,346.95$ 490,870$ 5,402,477$ 50,795,938.5152$ 5,893,346.95$ 443,682$ 5,449,665$ 45,346,273.4553$ 5,893,346.95$ 396,081$ 5,497,266$ 39,849,007.7854$ 5,893,346.95$ 348,065$ 5,545,282$ 34,303,725.7355$ 5,893,346.95$ 299,629$ 5,593,718$ 28,710,007.8956$ 5,893,346.95$ 250,770$ 5,642,577$ 23,067,431.1957$ 5,893,346.95$ 201,485$ 5,691,862$ 17,375,568.8958$ 5,893,346.95$ 151,769$ 5,741,578$ 11,633,990.4759$ 5,893,346.95$ 101,618$ 5,791,729$ 5,842,261.7060$ 5,893,346.95$ 51,030$ 5,842,262$ (0.00)

Totales$ 318,240,735$ 78,240,680$ 240,000,000

BANCOLOMBIATABLA DE AMORTIZACION

VALOR DEL PRESTAMO$ 240,000,000.00CUOTA NVALOR CUOTAPAGO DE INTERES AMORTIZACINSALDO EFA2.14%0$ 240,000,000.00PLAZO 601$ 0$ 423,859$ 0$ 240,000,000.00VALOR DE LA CUOTA $ 4,663,663.002$ 0$ 423,859$ 0$ 240,000,000.00PERIODO DE GRACIA 63$ 0$ 423,859$ 0$ 240,000,000.004$ 0$ 423,859$ 0$ 240,000,000.00TASA NOMINAL 2.12%5$ 0$ 423,859$ 0$ 240,000,000.002.12%6$ 0$ 423,859$ 0$ 240,000,000.007$ 4,663,663.00$ 423,859$ 4,239,804$ 235,760,195.55TASA PERIODICA 8$ 4,663,663.00$ 416,371$ 4,247,292$ 231,512,903.270.18%9$ 4,663,663.00$ 408,870$ 4,254,793$ 227,258,109.9510$ 4,663,663.00$ 401,355$ 4,262,308$ 222,995,802.34INTERES0.18%11$ 4,663,663.00$ 393,828$ 4,269,835$ 218,725,967.1612$ 4,663,663.00$ 386,287$ 4,277,376$ 214,448,591.1213$ 4,663,663.00$ 378,733$ 4,284,930$ 210,163,660.9114$ 4,663,663.00$ 371,165$ 4,292,498$ 205,871,163.1715$ 4,663,663.00$ 363,584$ 4,300,079$ 201,571,084.5616$ 4,663,663.00$ 355,990$ 4,307,673$ 197,263,411.6717$ 4,663,663.00$ 348,382$ 4,315,281$ 192,948,131.1018$ 4,663,663.00$ 340,761$ 4,322,902$ 188,625,229.4119$ 4,663,663.00$ 333,127$ 4,330,536$ 184,294,693.1520$ 4,663,663.00$ 325,479$ 4,338,184$ 179,956,508.8221$ 4,663,663.00$ 317,817$ 4,345,846$ 175,610,662.9222$ 4,663,663.00$ 310,142$ 4,353,521$ 171,257,141.9223$ 4,663,663.00$ 302,453$ 4,361,210$ 166,895,932.2724$ 4,663,663.00$ 294,751$ 4,368,912$ 162,527,020.3825$ 4,663,663.00$ 287,035$ 4,376,628$ 158,150,392.6626$ 4,663,663.00$ 279,306$ 4,384,357$ 153,766,035.4827$ 4,663,663.00$ 271,563$ 4,392,100$ 149,373,935.1828$ 4,663,663.00$ 263,806$ 4,399,857$ 144,974,078.0929$ 4,663,663.00$ 256,035$ 4,407,628$ 140,566,450.5230$ 4,663,663.00$ 248,251$ 4,415,412$ 136,151,038.7431$ 4,663,663.00$ 240,453$ 4,423,210$ 131,727,828.9932$ 4,663,663.00$ 232,642$ 4,431,021$ 127,296,807.5233$ 4,663,663.00$ 224,816$ 4,438,847$ 122,857,960.5234$ 4,663,663.00$ 216,977$ 4,446,686$ 118,411,274.1735$ 4,663,663.00$ 209,123$ 4,454,540$ 113,956,734.6336$ 4,663,663.00$ 201,256$ 4,462,407$ 109,494,328.0337$ 4,663,663.00$ 193,375$ 4,470,288$ 105,024,040.4838$ 4,663,663.00$ 185,481$ 4,478,182$ 100,545,858.0539$ 4,663,663.00$ 177,572$ 4,486,091$ 96,059,766.8140$ 4,663,663.00$ 169,649$ 4,494,014$ 91,565,752.7841$ 4,663,663.00$ 161,712$ 4,501,951$ 87,063,801.9742$ 4,663,663.00$ 153,761$ 4,509,902$ 82,553,900.3843$ 4,663,663.00$ 145,797$ 4,517,866$ 78,036,033.9544$ 4,663,663.00$ 137,818$ 4,525,845$ 73,510,188.6145$ 4,663,663.00$ 129,825$ 4,533,838$ 68,976,350.2946$ 4,663,663.00$ 121,818$ 4,541,845$ 64,434,504.8547$ 4,663,663.00$ 113,796$ 4,549,867$ 59,884,638.1748$ 4,663,663.00$ 105,761$ 4,557,902$ 55,326,736.0749$ 4,663,663.00$ 97,711$ 4,565,952$ 50,760,784.3650$ 4,663,663.00$ 89,647$ 4,574,016$ 46,186,768.8351$ 4,663,663.00$ 81,569$ 4,582,094$ 41,604,675.2352$ 4,663,663.00$ 73,477$ 4,590,186$ 37,014,489.3053$ 4,663,663.00$ 65,370$ 4,598,293$ 32,416,196.7554$ 4,663,663.00$ 57,250$ 4,606,413$ 27,809,783.2655$ 4,663,663.00$ 49,114$ 4,614,549$ 23,195,234.4956$ 4,663,663.00$ 40,965$ 4,622,698$ 18,572,536.0657$ 4,663,663.00$ 32,801$ 4,630,862$ 13,941,673.6058$ 4,663,663.00$ 24,622$ 4,639,041$ 9,302,632.6759$ 4,663,663.00$ 16,429$ 4,647,234$ 4,655,398.8460$ 4,663,663.00$ 8,222$ 4,655,399$ 0.00

Totales$ 251,837,802$ 14,380,911$ 240,000,000

CUADRO DE RESUMEN

ENTIDAD FINANCIERAPLAZOTASA E.A.PERIODOS DE GRACIAPERIODOS MUERTOSGARANTIASCOSTOS ADICIONALESBANCO CORPBANCA609%No0Por ser un prestamo de libre inversin las garantias son: los activos de la empresa y los bienes del Representante Legal$ 318,179.84BANCO COLPATRIA6011%Si6Por ser un prestamo de libre inversin las garantias son: los activos de la empresa y los bienes del Representante Legal$ 283,000.00BANCOLOMBIA 602.14%Si6FNG 2.30% Por para una Pyme$ 295,000.00

CUADRO COMPARATIVOTABLA DE COMPARACIN ENTRE LAS ENTIDADES FINANCIERASCONCEPTOCapital Prestado$240,000,000$240,000,000$240,000,000Tasa efectiva anual9.00%11.00%2.14%Plazo otorgado60 meses60 meses60 mesesPeridos de gracia06 meses6 mesesTasa Nominal8.65%10.48%2.12%Tasa Peridica0.72%0.87%0.18%Valor de la cuota$ 4,941,195.89$5,893,436.95$4,663,663.00Saldo total pagado$296,471,753.51$318,240,735.30$251,837,802.00Total intereses pagados$56,471,753.51$78,240,679.84$14,380,910.92Garantias exigidasPor ser un prestamo de libre inversin las garantias son: Los activos de la empresa y los bienes del representante legal.Por ser un prestamo de libre inversin las garantias son: Los activos de la empresa y los bienes del representante legal.FNG 2,30% por para un Pyme.Sistema de AmortizacinCuota Fija pagando mensualmente sin periodo de gracia.Cuota Fija con periodo de gracia de seis meses durante el cual no paga ni los interese, estos se capitalizan y empieza a pagar posterior a este periodo de gracia la cuota y es la que queda fija.Cuota Fija con periodo de gracia de seis meses durante el cual solo paga intereses y posterior a este periodo cambia la cuota y es la que queda fija.

La opcion seleccionada es la de Bancolombia.