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01_EX11 CARTEIRA 1 CARTEIRA 2 Data ItauUnibanco Bradesco Banco do Brasil CARTEIRA 1 Braskem Vale Pão de Açucar CARTEIRA 2 2001.01 0.86% -7.43% 32.66% 8.70% 12.50% 18.14% -0.20% 10.15% 2001.02 -8.23% -8.86% -6.30% -7.80% -4.97% -3.92% -4.39% -4.43% 2001.03 -1.41% -1.40% 0.55% -0.75% -4.00% 1.02% -1.48% -1.49% 2001.04 5.40% 6.32% 18.98% 10.24% -3.33% -2.02% -6.32% -3.89% 2001.05 7.96% -1.15% -9.25% -0.81% -8.81% 6.70% -0.16% -0.76% 2001.06 5.81% -1.36% 22.29% 8.91% 9.17% 2.42% -11.58% 0.00% 2001.07 -3.48% -2.60% -8.02% -4.70% -6.10% -0.38% -11.82% -6.10% 2001.08 -9.39% -4.22% 2.60% -3.67% -15.67% -2.84% 2.06% -5.48% 2001.09 -3.11% -4.85% -17.63% -8.53% -21.23% -1.56% -32.83% -18.54% 2001.10 0.98% -5.10% 4.34% 0.07% 10.14% 4.93% 18.50% 11.19% 2001.11 1.22% 11.67% 18.31% 10.40% 12.63% 2.50% 12.94% 9.36% 2001.12 3.14% 17.20% 16.25% 12.20% 11.42% 5.05% 11.21% 9.23% 2002.01 -3.65% -4.18% -15.01% -7.62% 20.17% 0.38% 5.07% 8.54% 2002.02 18.07% 13.47% 18.44% 16.66% -4.22% 19.39% 7.48% 7.55% 2002.03 -6.09% -0.42% 11.54% 1.67% -0.76% 1.89% -7.37% -2.08% 2002.04 1.13% 4.69% 16.29% 7.37% 0.38% 1.42% 7.29% 3.03% 2002.05 -7.36% -9.19% -2.89% -6.48% -15.77% 18.00% -3.45% -0.41% 2002.06 -7.78% -14.79% -31.98% -18.19% -9.72% 2.25% -4.90% -4.12% 2002.07 -23.39% -14.09% -3.25% -13.58% -7.69% 6.82% -16.83% -5.90% 2002.08 21.13% 8.76% 31.33% 20.41% -12.50% -9.64% 11.79% -3.45% 2002.09 -19.40% -19.39% -26.54% -21.78% -25.40% 15.59% 0.11% -3.24% 2002.10 36.09% 17.82% 21.37% 25.09% -5.53% 10.74% 22.34% 9.18% 2002.11 -5.22% 6.27% 4.02% 1.69% -11.71% 7.22% 0.87% -1.21% 2002.12 12.53% 20.16% -2.97% 9.91% 12.24% 2.90% -6.03% 3.04% 2003.01 -8.33% -12.78% -1.84% -7.65% -16.36% -5.93% -8.81% -10.37% 2003.02 1.68% 2.28% 3.82% 2.59% -10.27% 7.44% -10.87% -4.56% 2003.03 18.71% 10.64% 9.69% 13.01% 29.07% -12.50% -3.61% 4.32% 2003.04 5.03% 4.58% 20.61% 10.07% 57.67% -8.19% 2.08% 17.19% 2003.05 3.70% 0.54% 20.47% 8.24% 7.14% 6.12% 3.05% 5.44% 2003.06 -4.68% -8.30% -14.44% -9.14% 3.83% -3.46% -1.10% -0.24% 2003.07 11.88% 7.98% 8.48% 9.44% 14.50% 22.50% 24.17% 20.39% 2003.08 6.24% 3.56% 11.58% 7.13% 41.36% 9.63% 7.34% 19.44% 2003.09 -7.30% -6.67% 3.90% -3.36% 17.36% 5.60% -8.55% 4.80% 2003.10 13.05% 7.98% 17.50% 12.84% 12.68% 12.36% 8.22% 11.09% 2003.11 5.55% 22.44% 30.32% 19.43% 17.63% -0.77% 13.13% 9.99% 2003.12 15.83% 14.15% -2.04% 9.31% 42.08% 31.40% 7.48% 26.99% 2004.01 -0.76% -7.71% -15.00% -7.82% 0.37% -7.96% -4.30% -3.96% 2004.02 0.72% 1.16% 8.86% 3.58% 14.75% 8.01% -0.62% 7.38% 2004.03 -3.38% -7.20% 7.53% -1.02% -2.60% -5.34% -9.34% -5.76% 2004.04 -13.79% -13.80% -17.96% -15.18% -22.67% -17.18% -16.80% -18.88% 2004.05 12.51% 8.16% 8.90% 9.86% -20.00% 20.57% -5.98% -1.81% 2004.06 10.00% 6.75% 8.17% 8.31% 21.77% -7.39% 11.79% 8.72% 2004.07 -2.03% 1.62% 2.37% 0.65% 8.32% 12.65% 10.18% 10.38% 2004.08 6.15% 0.12% 8.25% 4.84% 38.56% 2.50% 5.20% 15.42% 2004.09 6.96% 2.71% 3.92% 4.53% 12.26% 14.64% -4.96% 7.32% 2004.10 9.03% 19.72% 12.34% 13.70% 10.29% -2.90% 17.48% 8.29% 2004.11 2.36% 4.81% 12.50% 6.56% 12.76% 9.18% -1.91% 6.68% 2004.12 14.10% 20.11% 3.15% 12.45% 13.18% 13.36% 3.00% 9.85% 2005.01 -2.54% -5.18% -4.92% -4.22% -11.38% 4.95% -15.28% -7.24% 2005.02 15.82% 30.67% 1.14% 15.88% 12.21% 14.21% 5.84% 10.75% 2005.03 -2.60% -4.89% -4.52% -4.00% -17.34% -6.08% -8.28% -10.56% 2005.04 1.65% -4.10% -1.18% -1.21% -9.26% -18.15% -10.27% -12.56% 2005.05 -4.04% 9.13% 4.96% 3.35% -6.53% 2.12% 2.26% -0.72% 2005.06 1.94% 14.51% 3.09% 6.51% -14.85% -0.93% -8.14% -7.97% 2005.07 4.45% -3.83% -1.11% -0.16% 16.62% 13.26% 11.85% 13.91% 2005.08 10.02% 16.08% 14.02% 13.37% 2.76% 3.33% 7.63% 4.57% 2005.09 8.06% 16.30% 24.39% 16.25% -1.88% 22.07% 13.48% 11.22% 2005.10 1.28% 2.95% -4.61% -0.13% -15.62% -4.22% -4.67% -8.17% 2005.11 3.92% 18.28% -5.31% 5.63% 2.58% 2.72% 16.54% 7.28% 2005.12 1.21% 4.57% 7.65% 4.48% -4.52% -0.21% 8.16% 1.14% 2006.01 19.41% 26.82% 26.90% 24.37% -6.76% 18.52% 8.43% 6.73% 2006.02 2.26% -1.51% 4.70% 1.82% 7.17% -7.72% 7.94% 2.46% 2006.03 -5.69% -12.64% 0.93% -5.80% -11.62% 1.10% 0.47% -3.35% 2006.04 2.85% 2.32% 11.15% 5.44% -7.89% 2.49% -10.12% -5.18% 2006.05 -8.02% -2.19% -7.34% -5.85% -3.95% -1.51% -6.44% -3.97% 2006.06 4.34% -8.55% -11.07% -5.09% -5.88% -0.80% -11.28% -5.99% 2006.07 5.51% 6.73% -0.16% 4.02% -14.97% -3.31% -2.96% -7.08% 2006.08 -2.56% -2.16% 0.07% -1.55% 23.45% -9.00% -10.77% 1.23% 2006.09 0.95% 3.51% -1.04% 1.14% -3.01% 1.85% -2.95% -1.37% 2006.10 8.33% 5.99% 9.35% 7.89% 11.97% 16.87% 13.70% 14.18% 2006.11 2.45% 6.99% 13.88% 7.77% 4.16% 10.29% 5.44% 6.63% 2006.12 7.24% 9.19% 9.63% 8.69% -4.94% 6.66% 11.10% 4.27% 2007.01 1.45% 1.91% 8.59% 3.98% 3.53% 11.62% -7.30% 2.62% 2007.02 -7.25% -8.48% -0.97% -5.57% -11.27% 1.98% -9.57% -6.28% 2007.03 0.61% 7.35% -2.23% 1.91% 11.53% 5.23% -4.53% 4.07% 2007.04 8.80% 4.53% 4.36% 5.90% 14.07% 10.98% 6.67% 10.57% 2007.05 7.90% 12.72% 14.21% 11.61% -5.48% 3.60% 2.56% 0.23% 2007.06 1.99% 0.25% 6.14% 2.79% 5.24% -0.97% 14.59% 6.29% 2007.07 0.55% 3.09% 6.13% 3.26% 0.06% 7.68% -5.01% 0.91% 2007.08 -0.07% -1.48% -4.60% -2.05% 4.81% 4.50% -11.71% -0.80% 2007.09 7.18% 6.34% 10.07% 7.86% -4.59% 27.76% -10.97% 4.07% 2007.10 7.24% 7.26% 1.33% 5.28% -5.56% 5.58% -1.21% -0.40% 2007.11 0.39% -1.74% 1.90% 0.19% -3.43% -3.54% 7.95% 0.33% 2007.12 -8.06% -7.01% -3.97% -6.35% -8.57% -5.41% 14.23% 0.08% 2008.01 -13.10% -14.79% -3.78% -10.56% -9.72% -12.61% -4.72% -9.02% 2008.02 9.87% 10.51% -3.17% 5.74% 10.31% 13.18% 12.31% 11.93% 2008.03 -6.05% -10.02% -17.77% -11.28% 8.40% 3.14% -1.37% 3.39% 2008.04 18.58% 15.59% 25.05% 19.74% -3.89% 9.28% 5.58% 3.65% 2008.05 6.42% 4.02% 13.47% 7.97% -7.54% -0.20% 3.09% -1.55% 2008.06 -19.22% -13.94% -19.21% -17.46% -3.63% -12.38% -12.40% -9.47% 2008.07 2.80% 0.04% -4.02% -0.39% 8.15% -17.53% 4.37% -1.67% 2008.08 -7.73% -8.56% -4.72% -7.00% -15.36% -8.17% -4.72% -9.42% 2008.09 3.78% 0.49% -3.68% 0.20% -12.93% -15.92% -2.71% -10.52% 2008.10 -26.93% -18.22% -35.08% -26.74% -7.47% -20.24% 1.48% -8.74% 2008.11 16.58% -3.59% -2.25% 3.58% -33.48% -3.03% 13.44% -7.69% 2008.12 -1.98% -2.90% 3.76% -0.37% -11.34% 0.58% -18.40% -9.72% 2009.01 -10.11% -8.90% -3.27% -7.43% 2.88% 17.37% -3.68% 5.53% 2009.02 -5.00% -0.48% -0.26% -1.91% -5.78% -5.02% -3.58% -4.79% 2009.03 16.75% 6.99% 23.10% 15.61% -10.59% 0.42% 7.61% -0.86% 2009.04 18.57% 17.29% 9.43% 15.10% 28.27% 18.11% 13.20% 19.86% 2009.05 4.98% 8.09% 15.11% 9.39% 16.05% 5.38% 8.56% 9.99% 2009.06 -2.47% -2.03% 0.97% -1.18% 0.28% -9.26% 0.66% -2.77% 2009.07 8.08% 3.50% 11.61% 7.73% 15.74% 7.39% 13.39% 12.17% 2009.08 5.35% 1.88% 11.49% 6.24% 25.87% -1.00% 7.33% 10.73% 2009.09 11.67% 16.20% 20.14% 16.00% 7.65% 12.30% 8.44% 9.46% 2009.10 -6.13% -3.97% -9.67% -6.59% 3.91% 9.95% 6.60% 6.82% 2009.11 13.32% 4.09% 9.97% 9.13% -1.54% 9.42% 3.88% 3.92% 2009.12 1.98% 4.78% -3.27% 1.17% 22.22% 0.98% 17.58% 13.59% 2010.01 -6.16% -5.70% -5.39% -5.75% -5.82% -1.19% -2.72% -3.25% 2010.02 2.11% -0.41% 7.62% 3.10% -3.62% 3.15% -2.92% -1.13% 2010.03 6.88% 2.52% 0.96% 3.45% 2.43% 13.28% -3.47% 4.08% 2010.04 -3.30% -1.25% 0.47% -1.36% -3.97% -6.43% 1.03% -3.12% 2010.05 -7.93% -4.79% -12.10% -8.27% -14.16% -5.84% -1.51% -7.17% 2010.06 -6.31% -4.71% -5.12% -5.38% 16.13% -12.70% 7.68% 3.70% 2010.07 21.86% 21.97% 23.89% 22.58% 5.43% 11.23% -8.57% 2.69% 2010.08 -3.82% -4.29% -6.12% -4.74% 17.18% -3.44% 7.65% 7.13% 2010.09 7.04% 9.25% 13.70% 10.00% 10.98% 11.56% -5.74% 5.60% 2010.10 2.58% 1.72% 3.02% 2.44% 1.51% 3.56% 14.14% 6.40% 2010.11 -5.39% -3.31% -0.22% -2.97% 4.30% -0.07% 6.61% 3.61% 2010.12 1.41% -0.99% -3.75% -1.11% 11.98% 3.30% -2.28% 4.34% 2011.01 -10.04% -5.01% -5.28% -6.78% 2.95% 3.72% -9.41% -0.92% 2011.02 4.00% 4.49% 1.04% 3.18% -3.29% -1.37% -1.56% -2.07% 2011.03 6.26% 9.82% 0.20% 5.43% 6.71% -5.24% 8.61% 3.36% 2011.04 -4.60% -4.91% -1.90% -3.80% 5.82% -1.76% 5.05% 3.04% 2011.05-3.36% -0.89% -2.68% -2.31% 11.93% -2.97% -9.58% -0.21% 2011.06 1.74% 2.69% 0.78% 1.73% -9.76% -1.51% 14.14% 0.96% 2011.07 -13.72% -6.68% -6.11% -8.83% -17.50% 1.39% -7.90% -8.00% 2011.08 -7.28% -5.27% 2.50% -3.35% 2.77% -8.77% -2.80% -2.93% 2011.09 0.74% -2.95% -5.99% -2.74% -22.86% -4.80% -11.89% -13.18% 2011.10 12.71% 9.05% 4.27% 8.68% 4.94% 4.93% 15.26% 8.37% 2011.11 -2.50% -0.54% -6.09% -3.04% -8.56% -4.71% 1.14% -4.05% 2011.12 7.49% 4.21% -0.89% 3.60% -8.51% -5.28% 1.28% -4.17% 2012.01 3.36% 2.63% 14.73% 6.91% 22.19% 13.31% 8.96% 14.82% 2012.02 4.82% 2.95% 2.26% 3.34% -0.38% -2.57% 9.04% 2.03% 2012.03 -3.96% 2.57% -5.13% -2.17% -7.25% -1.49% 9.30% 0.18% 2012.04 -14.08% -5.14% -9.13% -9.45% -3.13% 1.80% 2.22% 0.29% 2012.05 -2.28% -3.65% -14.94% -6.96% -16.04% -11.76% -13.67% -13.83% 2012.06 -3.40% 1.07% -0.91% -1.08% 18.93% 6.76% 4.87% 10.19% 2012.07 14.84% 4.92% 11.62% 10.46% -7.40% -7.43% 4.37% -3.48% 2012.08 -1.48% 3.47% 6.90% 2.96% 3.31% -9.07% 2.41% -1.12% 2012.09 -3.46% -1.44% 8.21% 1.10% 11.48% 8.02% 6.03% 8.51% 2012.10 -2.86% 0.22% -12.62% -5.09% -5.96% 5.93% 2.93% 0.97% 2012.11 8.27% 21.48% 1.62% 10.46% 2.68% 0.40% -2.24% 0.28% 2012.12 4.89% 6.18% 18.36% 9.81% -7.11% 12.45% -0.55% 1.60% 2013.01 2.92% 4.33% -4.69% 0.85% 17.27% -4.78% 3.76% 5.41% 2013.02 2.14% -0.24% 7.95% 3.29% -2.86% -6.11% 5.64% -1.11% 2013.03 3.79% 10.00% 6.27% 6.69% -6.38% -7.67% 7.67% -2.13% 2013.04 -6.49% -1.54% -8.45% -5.49% 27.47% 0.76% 4.39% 10.87% 2013.05 5.99% 3.12% 1.45% 3.52% -3.97% -11.09% -6.22% -7.09% 2013.06 -11.16% -13.70% -11.81% -12.23% -1.44% -4.43% -4.04% -3.30% 2013.07 1.34% 1.04% 2.44% 1.61% 6.74% 6.60% 1.60% 4.98% 2013.08 0.54% 2.33% 5.28% 2.72% -0.17% 10.96% -3.30% 2.50% 2013.09 8.54% 9.21% 13.60% 10.45% 1.14% 0.12% 3.36% 1.54% 2013.10 10.03% 4.17% 15.09% 9.76% 12.00% 6.55% 10.13% 9.56% 2013.11 -4.70% -4.38% -13.32% -7.47% 4.63% 0.34% -2.25% 0.90% 2013.12 -4.22% -5.89% -3.89% -4.67% 0.96% -0.45% -3.40% -0.96% 2014.01 -3.37% -10.12% -14.39% -9.29% -11.52% -7.45% -10.97% -9.98% 2014.02 4.95% 2.33% -0.28% 2.34% -13.08% -0.15% 5.88% -2.45% 2014.03 8.60% 15.38% 11.95% 11.98% 10.15% -4.79% 0.87% 2.08% 2014.04 8.60% 1.96% 2.68% 4.41% -11.19% -3.80% 6.35% -2.88% 2014.05 -5.12% -6.64% -2.40% -4.72% -3.81% -3.40% -3.38% -3.53% 2014.06 0.81% 1.48% 10.48% 4.26% -3.76% 2.96% 1.17% 0.12% 2014.07 9.84% 9.80% 11.55% 10.40% -0.43% 11.32% 6.32% 5.74% 2014.08 16.12% 13.17% 26.56% 18.62% 8.70% -10.54% 4.17% 0.78% 2014.09 -16.05% -12.50% -26.93% -18.49% 6.23% -7.80% -6.21% -2.59% 2014.10 8.55% 4.29% 9.60% 7.48% 11.91% -3.39% -2.76% 1.92% 2014.11 5.08% 4.66% 7.17% 5.63% 6.18% -6.80% 4.57% 1.31% 2014.12 -10.33% -8.48% -18.72% -12.51% -9.09% -5.97% -9.10% -8.05% 2015.01 -4.87% -2.34% -13.08% -6.76% -28.86% -15.06% -9.66% -17.86% 2015.02 13.74% 11.98% 15.24% 13.66% 2.81% 14.19% 9.03% 8.68% 2015.03 -3.22% -3.12% -1.87% -2.74% -14.06% -15.58% -1.44% -10.36% 2015.04 9.17% -0.24% 16.19% 8.37% 20.61% 30.44% 7.35% 19.47% 2015.05 -10.87% -12.73% -12.98% -12.19% 2.94% -11.48% -15.89% -8.14% 2015.06 -0.28% 7.53% 8.13% 5.13% 5.01% -8.78% -14.42% -6.06% 2015.07 -3.27% -1.08% -9.18% -4.51% -7.93% -2.30% 2.53% -2.56% 2015.08 -10.57% -8.94% -18.52% -12.68% 12.20% 0.28% -15.33% -0.95% 2015.09 -0.09% -6.09% -13.34% -6.51% 18.48% -7.48% -20.77% -3.26% 2015.10 -0.09% -0.69% 5.07% 1.43% 30.65% 4.96% 0.85% 12.16% 2015.11 5.05% 2.55% 2.95% 3.51% 20.39% -22.80% -3.14% -1.85% 2015.12 -4.52% -11.20% -8.09% -7.93% 5.34% -1.06% -14.57% -3.43% 2016.01 -5.19% -4.36% -6.04% -5.19% -13.11% -25.40% -8.67% -15.73% 2016.02 4.64% 18.89% -2.24% 7.10% 6.25% 21.50% 8.76% 12.17% 2016.03 22.95% 29.36% 47.54% 33.28% -8.20% 28.28% 19.89% 13.32% 2016.04 5.37% 2.78% 11.84% 6.66% 10.89% 29.97% 1.56% 14.14% 2016.05 -11.58% -12.69% -24.92% -16.40% -14.46% -27.78% -20.08% -20.77% 2016.06 4.36% 11.01% 5.18% 6.85% -9.33% 14.42% 15.48% 6.85% 2016.07 11.57% 8.21% 22.53% 14.10% -2.63% 13.71% 5.05% 5.38% 2016.08 7.34% -0.32% 10.95% 5.99% 30.04% -8.43% 2.63% 8.08% 2016.09 -0.88% -2.52% -1.22% -1.54% 4.15% 5.14% 5.44% 4.91% 2016.10 18.97% 14.29% 28.46% 20.58% 18.34% 23.98% 14.88% 19.06% 2016.11 -7.72% -8.11% -2.32% -6.05% -2.72% 27.08% -10.49% 4.62% 2016.12 -2.96% 1.02% -1.14% -1.03% 24.55% -7.94% 0.27% 5.63% 2017.01 10.06% 10.36% 10.75% 10.39% -4.99% 25.31% 5.83% 8.72% 2017.02 9.61% 1.58% 6.40% 5.86% -0.65% 1.68% -0.85% 0.06% 2017.03 -5.29% -1.72% 2.32% -1.56% -1.79% -8.95% 4.61% -2.05% 2017.04 3.63% 1.61% -2.72% 0.84% 7.53% -4.71% 19.38% 7.40% 2017.05 -9.42% -8.54% -13.13% -10.36% -2.96% -1.09% -3.86% -2.64% 2017.06 3.42% 2.10% -5.16% 0.12% 3.23% 6.74% -5.55% 1.47% 2017.07 1.59% 9.99% 7.09% 6.23% 9.09% 7.93% 11.28% 9.44% 2017.08 9.25% 7.03% 7.68% 7.99% 2.14% 12.08% -0.70% 4.51% 2017.09 7.47% 3.62% 13.94% 8.34% 11.34% -9.15% 4.18% 2.12% 2017.10 -2.97% -1.81% -1.32% -2.03% 23.40% 0.72% 1.60% 8.57% 2017.11 -1.82% -7.27% -12.51% -7.20% -13.29% 9.47% -8.14% -3.99% 2017.12 3.58% 8.17% 6.60% 6.12% -2.87% 15.79% 13.23% 8.72% Retorno médio 1.78% 1.87% 2.63% 2.09% 2.00% 2.08% 0.89% 1.66% Risco 8.86% 9.00% 12.20% 9.06% 13.51% 10.60% 9.19% 7.93% Coef. de variação 4.97 4.82 4.65 4.33 6.76 5.10 10.29 4.79 Correlação 0.80 0.68 0.71 0.18 0.31 0.30 Questão 11- a) CARTEIRA 1 CARTEIRA 2 Ativo ItauUnibanco Bradesco Banco do Brasil CARTEIRA Braskem Vale Pão de Açucar CARTEIRA Coefic. de variação 4.97 4.82 4.65 4.33 6.76 5.10 10.29 4.79 Questão 11-b) Considerando a diversificação, a cateira 2 apresentou melhores índices, se comparados com a carteira 1. Isso porque a diversificação se dá pela menor correlação entre os ativos (dentro de cada carteira), indicando menores riscos - quanto mais baixa for a correlação, menor tende ser o risco. A carteira 1 apresentou o menor coeficiente de variação (4,33), que representa também uma medida de risco (quanto menor for, melhor), em comparação com a carteira 2 (4,79), porém sua correlação entre os ativos (dentro da carteira) é maior. Para diminuir o risco, considerando a diversificação, o importante é verificar correlação entre os ativos e ainda variar o peso dos ativos, objetivando maior eficiência. Questão 11-c) As empresas atreladas a carteira 1 são todas do ramo bancário. Empiricamente, são empresas sólidas, estáveis, experientes, com capacidade de gerar receitas consistentes, além de que a recuperação em caso de crise, pode ser mais rápida do que outras indústrias, por possuir diversos mecanismos para mitigar estas situações. Os dados apontam que as ações do bancos foram mais rentáveis, porém, com baixa diversificação. Já na carteira 2, as ações escolhidas pertencem a diferentes setores (petroquímico, mineração e varejo), o que leva a uma diversificação dos ativos. Apesar de serem indústrias variadas, podendo possuir maior volatilidade, tendo exigências ambientais, maior competição, a diversificação de indústrias dentro de uma mesma carteira, pode fazer com que alcançe maior eficiência. Alunos: Érica Santos, Fernanda Lemos Kaus, Kamila Jankoski e Paulo Maidl. image1.png
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