ECONOMIA

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MINERIA

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Sheet1EJERCICIO 1PASO N 01 : Apartir de las reservas calculamos el tiempo de vida de la mina en aosPASO N 05 : Finalmente calcularemos la sensibilidad del CuProyecto de 30,000,000 TM con ley de cobre de 1.80% para ser minado por mtodos subterrneosProductora de concentrado de cobre. Precio Cobre: 3.10 US$/LibraSENSIBILIDAD DEL CuPrecio Cu$0.6$1.0$1.5$2.0$2.5$3.0$3.5$4.0TIEMPO DE VIDA (aos) =15.2NPV 9%-$110,563,003$7,848,403$155,862,660$303,876,918$451,891,175$599,905,432$747,919,689$895,933,947DATOS:Inversin estimada total160,000,000US$Inversin equipos e infraestructura75,000,000US$ a depreciar en 10 aosPASO N 02 : Una vez calculado el tiempo de vida de la mina realizamos el plan de produccion anualIngeniera4,000,000US$Periodo de construccin2aosTiempo de Operacin (Aos)123456789101112131415TOTALMinado4US$/TM mineralProduccin Anual (TM)2,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,0002,000,00030,000,000Costos operativosConcentracin6US$/TM mineralLey de Cu (%)1.91.91.91.91.91.81.81.81.81.81.71.71.71.71.71.8Costo Fund&Refinacin Cu0.25US$/Lb CobreProduccion Cu Fino (TM)31,945.2831,945.2831,945.2831,945.2831,945.2830,263.9530,263.9530,263.9530,263.9530,263.9528,582.6228,582.6228,582.6228,582.6228,582.62453,959Concentrado Cu85%Lbs Cobre70,426,56770,426,56770,426,56770,426,56770,426,56766,719,90666,719,90666,719,90666,719,90666,719,90663,013,24463,013,24463,013,24463,013,24463,013,2441,000,798,589Recuperacin metalurgicaFundicin Cu99.1%Refinera Cu99.8%Precio venta del Cobre3.1US$/Lb CobrePASO N 03 : Una vez estimado la produccion anual de Cu calculamos el flujo de caja del proyectoETAPASINGENIERIACONSTRUCCIONOPERACINTOTALAos20132014201520162017201820192020202120222023202420252026202720282029203001234567891011121314151617Ingresos Cobre218,322,359218,322,359218,322,359218,322,359218,322,359206,831,708206,831,708206,831,708206,831,708206,831,708195,341,058195,341,058195,341,058195,341,058195,341,0583,102,475,626Costo Ventas Cobre-37,606,642-37,606,642-37,606,642-37,606,642-37,606,642-36,679,976-36,679,976-36,679,976-36,679,976-36,679,976-35,753,311-35,753,311-35,753,311-35,753,311-35,753,311-550,199,647Utilidad Bruta0.00.00.0180,715,717180,715,717180,715,717180,715,717180,715,717170,151,732170,151,732170,151,732170,151,732170,151,732159,587,747159,587,747159,587,747159,587,747159,587,7472,552,275,979Depreciacin (-)-7,500,000-7,500,000-7,500,000-7,500,000-7,500,000-7,500,000-7,500,000-7,500,000-7,500,000-7,500,000-75,000,000Utilidad antes participacion de trabajadores0.00.00.0173,215,717173,215,717173,215,717173,215,717173,215,717162,651,732162,651,732162,651,732162,651,732162,651,732159,587,747159,587,747159,587,747159,587,747159,587,7472,477,275,979Participacin trabajadores 8%0.00.00.0-13,857,257-13,857,257-13,857,257-13,857,257-13,857,257-13,012,139-13,012,139-13,012,139-13,012,139-13,012,139-12,767,020-12,767,020-12,767,020-12,767,020-12,767,020-198,182,078Utilidad antes impuesto a la renta0.00.00.0159,358,460159,358,460159,358,460159,358,460159,358,460149,639,593149,639,593149,639,593149,639,593149,639,593146,820,727146,820,727146,820,727146,820,727146,820,7272,279,093,900Impuesto a la renta 30%0.00.00.0-47,807,538-47,807,538-47,807,538-47,807,538-47,807,538-44,891,878-44,891,878-44,891,878-44,891,878-44,891,878-44,046,218-44,046,218-44,046,218-44,046,218-44,046,218-683,728,170Utilidad neta0.00.00.0111,550,922111,550,922111,550,922111,550,922111,550,922104,747,715104,747,715104,747,715104,747,715104,747,715102,774,509102,774,509102,774,509102,774,509102,774,5091,595,365,730Depreciacin (+)0.00.00.07,500,0007,500,0007,500,0007,500,0007,500,0007,500,0007,500,0007,500,0007,500,0007,500,00075,000,000Total gastos de capital-4,000,000-78,000,000-78,000,000-160,000,000Flujo de Efectivo neto-4,000,000-78,000,000-78,000,000119,050,922119,050,922119,050,922119,050,922119,050,922112,247,715112,247,715112,247,715112,247,715112,247,715102,774,509102,774,509102,774,509102,774,509102,774,5091,670,365,730Flujo de Efectivo acumulado-4,000,000-82,000,000-160,000,000-40,949,07878,101,844197,152,765316,203,687435,254,609547,502,324659,750,039771,997,755884,245,470996,493,1861,099,267,6941,202,042,2031,304,816,7121,407,591,2211,510,365,730PASO N 04 : Una vez generado el flujo de caja evaluamos la rentabilidad del proyecto9,920,910.1519,841,820.29Tasa Interna de Retorno (TIR)29,762,730.44TIR56%59,525,460.881,984,182.03Valor Actual Neto (VAN)3,968,364.06VAN (9%)$629,508,2835,952,546.09VAN (10%)$576,090,367VAN (15%)$376,801,380VAN (17%)$320,222,700PAYBACKEn 2 aos y 3 mesesREPRESENTACION GRAFICA DEL VAN EN FUNCION DE KoVALOR ACTUAL NETO =VAN =$629,508,283.46VALOR ACTUAL NETO =VAN =$0.00TASA DE DESCUENTO =Ko =9%TASA DE DESCUENTO =Ko =56%TIR%56%NPV 9%9.0%629,428,283NPV 10%10.0%576,010,367NPV 15%15.0%376,721,380NPV 17%17.0%320,142,700NPV 20%252,237,02120.0%252,157,021NPV 25%170,882,33725.0%170,802,337NPV 50%14,005,37350.0%13,925,373NPV 60%-6,248,16660.0%-6,328,166NPV 80%-25,632,28680.0%-25,712,286Sensibilidad CuPrecio Cu0.611.522.533.54NPV 9%-110,643,0037,768,403155,782,660303,796,918451,811,175599,825,432747,839,689895,853,947KoVAN0.0%$1,510,365,7301.0%$1,359,529,5372.0%$1,226,466,4233.0%$1,108,772,6294.0%$1,004,403,9065.0%$911,617,3886.0%$828,923,4827.0%$755,045,9578.0%$688,888,7489.0%$629,508,28310.0%$576,090,36711.0%$527,930,80912.0%$484,419,18013.0%$445,025,12714.0%$409,286,85515.0%$376,801,38016.0%$347,216,28017.0%$320,222,70018.0%$295,549,39719.0%$272,957,66820.0%$252,237,02121.0%$233,201,46922.0%$215,686,35723.0%$199,545,62724.0%$184,649,47825.0%$170,882,33726.0%$158,141,11027.0%$146,333,67128.0%$135,377,54829.0%$125,198,78230.0%$115,730,93431.0%$106,914,22632.0%$98,694,77633.0%$91,023,94734.0%$83,857,76035.0%$77,156,39136.0%$70,883,72237.0%$65,006,94838.0%$59,496,22939.0%$54,324,38340.0%$49,466,61741.0%$44,900,28442.0%$40,604,67243.0%$36,560,81244.0%$32,751,30945.0%$29,160,19346.0%$25,772,78447.0%$22,575,57248.0%$19,556,10849.0%$16,702,91050.0%$14,005,37351.0%$11,453,69552.0%$9,038,80553.0%$6,752,29754.0%$4,586,38055.0%$2,533,82056.0%$587,89656.3%$057.0%-$1,257,64358.0%-$3,008,61459.0%-$4,670,43760.0%-$6,248,16661.0%-$7,746,51962.0%-$9,169,90163.0%-$10,522,43064.0%-$11,807,95965.0%-$13,030,09566.0%-$14,192,21767.0%-$15,297,49568.0%-$16,348,90169.0%-$17,349,22870.0%-$18,301,09871.0%-$19,206,97772.0%-$20,069,18773.0%-$20,889,91174.0%-$21,671,20775.0%-$22,415,01576.0%-$23,123,16377.0%-$23,797,37978.0%-$24,439,29379.0%-$25,050,44380.0%-$25,632,28681.0%-$26,186,19782.0%-$26,713,48183.0%-$27,215,36984.0%-$27,693,02985.0%-$28,147,56986.0%-$28,580,03887.0%-$28,991,43088.0%-$29,382,69189.0%-$29,754,71690.0%-$30,108,358

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Sensibilidad Cu

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()=6.5( )^0.25REPRESENTACION GRAFICA DEL VAN EN FUNCION DE KoKoVANSENSIBILIDAD DEL Cu$/Lb CuVAN 9%

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