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Slides Sesion 02 Matematicas Financieras.pdf

Slides Sesion 02 Matematicas Financieras.pdf - The image...

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The image part with relationship ID rId13 was not found in the file. Matematicas Financieras Clase 2
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The image part with relationship ID rId13 was not found in the file. 2 Plan de la Clase 2 • Perpetuidades Anualidades Simples
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The image part with relationship ID rId13 was not found in the file. Flujos Individuales • Ya sabemos como manejar flujos individuales Lo podemos mover “hacia la derecha” Los podemos mover “hacia la izquierda” • Podemos tambien manejar flujos múltiples (siempre y cuando sean pocos) • Ahora desarrollaremos formulas adicionales para manejar otro tipo de flujos multiples con estructura adicional 3
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The image part with relationship ID rId13 was not found in the file. 4 Perpetuidades • Supongan que tenemos una serie de pagos periodicos iguales y que se extienden hacia el futuro infinito • Supongan que tienen que pagar $3,500 anuales a partir del próximo año para siempre
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The image part with relationship ID rId13 was not found in the file. 5 Graficamente ..... 1 2 3 4 5 6 7 $3,500
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The image part with relationship ID rId13 was not found in the file. 6 Equivalencia Si tuvieran que liquidar ese contrato el dia de hoy y la tasa de interés es 7%, ¿cuánto pagarían? Ya lo sabemos: suma de los valores presentes de cada uno de los flujos futuros De no ser por la pequeña inconveniencia de que el último pago ocurre en el “período” infinito la respuesta sería fácil
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The image part with relationship ID rId13 was not found in the file. 7 Equivalencia De todas maneras probemos P* = 3500/(1.07) + 3500/(1.07) 2 + 3500/(1.07) 3 + 3500/(1.07) 4 + ... Resulta que la solucion final despues de toda la carpinteria es extremadamente simple: P*= c/i c = cuota, i=tasa de interes
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The image part with relationship ID rId13 was not found in the file. 8 P* = 3500/0.07
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The image part with relationship ID rId13 was not found in the file. 9 Graficamente ..... 1 2 3 4 5 6 7 ¥ $3,500 $50,000 0
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The image part with relationship ID rId13 was not found in the file. 10 Atención Noten lo que hace la fórmula c/i. Toma una serie infinita de pagos y la transforma en un solo flujo Este flujo esta ubicado un periodo antes de que comiencen los pagos infinitos
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The image part with relationship ID rId13 was not found in the file. 11 Generalizando Si tenemos un instrumento financiero que paga c por período (comenzando el próximo período) para siempre cuando la tasa de interés por período es i, el valor presente de todos esos pagos es P= c/i
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