<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w0 h1" alt="" src="https://files.passeidireto.com/cd78882c-6b4e-447a-9cb5-a3f0ba51400c/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y4 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y5 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y6 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y7 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y8 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y9 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 ya ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yb ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yc ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yd ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x4 h2 ye ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yf ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y10 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y11 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y12 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y13 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x5 h2 y14 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x5 h2 y15 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y16 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y17 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y18 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y19 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x2 h2 y1a ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x2 h2 y1b ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1c ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1d ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1e ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1f ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y20 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x6 h3 y21 ff2 fs1 fc0 sc0 ls0 ws0"><span class="fc2 sc0">SOFI</span><span class="fc2 sc0">A</span></div><div class="t m0 x7 h4 y22 ff2 fs2 fc0 sc0 ls1 ws1"><span class="fc2 sc0">ALFER</span><span class="fc2 sc0">O</span></div><div class="t m0 x8 h5 y23 ff2 fs3 fc0 sc0 ls8 ws2"><span class="fc2 sc0">CA</span><span class="blank"> </span><span class="fc2 sc0">S</span><span class="blank"> </span><span class="fc2 sc0">Í</span></div><div class="t m0 x9 h6 y24 ff2 fs4 fc0 sc0 ls9 ws3"><span class="fc2 sc0">EIR</span><span class="fc2 sc0">p</span><span class="fc2 sc0">kw</span><span class="fc2 sc0">r</span><span class="blank _0"></span><span class="fc2 sc0">.</span><span class="blank _1"></span><span class="fc2 sc0">e</span><span class="fc2 sc0">lR</span><span class="fc2 sc0">Dt</span><span class="fc2 sc0">lr</span></div><div class="t m0 xa h7 y25 ff3 fs5 fc0 sc0 ls2 ws4"><span class="fc2 sc0">wi.</span><span class="blank _0"></span><span class="fc2 sc0">elr</span><span class="ls3"><span class="fc2 sc0">i</span><span class="lsa"><span class="fc2 sc0">of</span></span></span></div><div class="t m0 xb h8 y26 ff2 fs6 fc0 sc0 lsb ws5"><span class="fc2 sc0">wi.</span><span class="blank _1"></span><span class="fc2 sc0">o</span><span class="fc2 sc0">it</span><span class="fc2 sc0">c</span><span class="fc2 sc0">n</span><span class="blank"> </span><span class="fs3 lsc ws6 v1"><span class="fc2 sc0">wr</span><span class="blank"> </span><span class="fc2 sc0">t.</span><span class="blank _2"></span><span class="fc2 sc0">es</span><span class="blank _3"> </span><span class="fs7 lsd ws7 v2"><span class="fc2 sc0">t2</span><span class="blank"> </span><span class="fs4 lse ws8 v3"><span class="fc2 sc0">wr</span><span class="blank _0"></span><span class="fc2 sc0">.</span><span class="fc2 sc0">l</span><span class="fc2 sc0">r</span><span class="blank"> </span><span class="fs8 lsf ws9 v4"><span class="fc2 sc0">wN</span><span class="blank"> </span><span class="fs7 ls4 v0"><span class="fc2 sc0">0</span><span class="ls10 wsa v1"><span class="fc2 sc0">02</span><span class="blank"> </span></span><span class="fs3 ls11 v5"><span class="fc2 sc0">fr</span></span></span></span></span></span></span></div><div class="t m0 xc h9 y27 ff3 fs9 fc0 sc0 ls5"><span class="fc2 sc0">2</span><span class="ls12"><span class="fc2 sc0">ElRp</span></span></div><div class="t m0 xd ha y28 ff2 fs8 fc0 sc0 lsf wsb"><span class="fc2 sc0">wnl</span><span class="fc2 sc0">E</span><span class="fc2 sc0">l</span><span class="fc2 sc0">RD</span><span class="blank"> </span><span class="fs3 ls13 wsc v6"><span class="fc2 sc0">Rf</span><span class="blank"> </span><span class="ls14 wsd v0"><span class="fc2 sc0">tR</span><span class="fc2 sc0">f</span><span class="blank"> </span></span></span><span class="ls15 v4"><span class="fc2 sc0">El</span></span></div><div class="t m0 xe hb y29 ff2 fs8 fc0 sc0 ls16 wse"><span class="fc2 sc0">Rp</span><span class="blank"> </span><span class="fs6 ls17 wsf v7"><span class="fc2 sc0">Rf</span><span class="blank"> </span></span><span class="lsf ws10 v4"><span class="fc2 sc0">wr</span><span class="fc2 sc0">it</span><span class="fc2 sc0">er</span><span class="blank _1"></span><span class="fc2 sc0">s</span><span class="blank"> </span><span class="ls18 v6"><span class="fc2 sc0">Rf</span></span></span></div><div class="t m0 xf hc y2a ff2 fs3 fc0 sc0 ls19 ws11"><span class="fc2 sc0">Op</span><span class="blank"> </span><span class="fs7 ls1a ws12 v8"><span class="fc2 sc0">Wn</span><span class="blank"> </span></span><span class="ff4 fsa ls7 v0"><span class="fc2 sc0">Ó</span></span></div><div class="t m0 xc h5 y2b ff2 fs3 fc0 sc0 lsc ws13"><span class="fc2 sc0">sp</span><span class="blank"> </span><span class="fs7 ls1b ws14 v9"><span class="fc2 sc0">ECR</span><span class="fc2 sc0">P</span><span class="blank"> </span></span><span class="ls1c v0"><span class="fc2 sc0">Rt</span></span></div><div class="t m0 x10 hd y2c ff2 fs8 fc0 sc0 ls1d"><span class="fc2 sc0">Op</span></div><div class="t m0 x11 h6 y2d ff2 fs4 fc0 sc0 lse ws15"><span class="fc2 sc0">spino</span><span class="fc2 sc0">f</span><span class="fc2 sc0">f</span><span class="blank _0"></span><span class="fc2 sc0">.</span><span class="blank _2"></span><span class="fc2 sc0">f</span><span class="fc2 sc0">i</span></div><div class="t m0 x12 he y2e ff4 fsa fc0 sc0 ls1e ws16"><span class="fc2 sc0">jiR</span><span class="blank"> </span><span class="fc2 sc0">t</span></div><div class="t m0 x13 hf y2f ff2 fs6 fc0 sc0 ls1f ws17"><span class="fc2 sc0">ElR</span><span class="fc2 sc0">i</span><span class="blank"> </span><span class="ff4 fsa ls20 ws18 va"><span class="fc2 sc0">Rf</span><span class="fc2 sc0">t</span><span class="blank _1"></span><span class="fc2 sc0">B</span><span class="fc2 sc0">i</span><span class="blank _1"></span><span class="fc2 sc0">m</span><span class="fc2 sc0">l</span><span class="blank _1"></span><span class="fc2 sc0">E</span><span class="fc2 sc0">l</span><span class="blank _1"></span><span class="fc2 sc0">R</span><span class="fc2 sc0">m</span><span class="blank"> </span><span class="ff5 fsb ls21 v3"><span class="fc2 sc0">Rf</span></span></span></div><div class="t m0 x14 h10 y30 ff6 fs0 fc0 sc0 ls22 ws19"><span class="fc2 sc0">Bim</span><span class="blank"> </span><span class="ff5 fsb ls23 ws1a vb"><span class="fc2 sc0">fi</span><span class="fc2 sc0">m.</span><span class="blank _4"></span><span class="fc2 sc0">O</span><span class="fc2 sc0">i</span><span class="blank"> </span><span class="ff2 fs3 ls19 ws1b vc"><span class="fc2 sc0">Oi</span><span class="fc2 sc0">m</span><span class="blank"> </span><span class="fs8 ls24 ws1c vd"><span class="fc2 sc0">CO</span><span class="blank _2"></span><span class="fc2 sc0">V</span><span class="blank"> </span><span class="ls16 ws1d v8"><span class="fc2 sc0">Ri</span><span class="blank"> </span><span class="fs3 ls25 va"><span class="fc2 sc0">Rm</span></span></span></span></span></span></div><div class="t m0 x15 hd y31 ff2 fs8 fc0 sc0 ls1d ws1e"><span class="fc2 sc0">Om</span><span class="blank"> </span><span class="fs7 ls26 ws1f v9"><span class="fc2 sc0">Omi</span><span class="blank"> </span></span><span class="fsc ls27 ws20 v4"><span class="fc2 sc0">Or</span><span class="fc2 sc0">a</span><span class="fc2 sc0">n</span></span></div><div class="t m0 x16 h11 y32 ff5 fsb fc0 sc0 ls28 ws21"><span class="fc2 sc0">Bp</span><span class="blank"> </span><span class="ff2 fs4 ls9 ws22 ve"><span class="fc2 sc0">Wi</span><span class="blank"> </span></span><span class="ff7 fsd ls29 ve"><span class="fc2 sc0">Bi</span></span></div><div class="t m0 x17 h12 y33 ff5 fsb fc0 sc0 ls2a ws23"><span class="fc2 sc0">OÍ</span><span class="blank"> </span><span class="ff2 fs3 ls14 ws24 ve"><span class="fc2 sc0">Bir</span><span class="fc2 sc0">na</span><span class="fc2 sc0">m</span><span class="blank"> </span><span class="fse ls7 v0"><span class="fc2 sc0">t</span></span></span></div><div class="t m0 x18 h13 y34 ff2 fse fc0 sc0 ls7"><span class="fc2 sc0">m</span></div><div class="t m0 x19 h2 y35 ff1 fs0 fc0 sc0 ls7 ws27">Media Varianza</div><div class="t m0 x1a h14 y36 ff8 fs3 fc0 sc0 ls7 ws25">2<span class="ff1 ws27"> activos riesgosos</span></div><div class="t m0 x1a h14 y37 ff8 fs3 fc0 sc0 ls7 ws27">1 <span class="ff1">activo riesgoso</span> + <span class="ff1">ALR</span></div><div class="t m0 x1b h14 y38 ff1 fs3 fc0 sc0 ls7 ws27">Premio por riesgo </div><div class="t m0 x1c h14 y39 ff1 fs3 fc0 sc0 ls7 ws27">del portafolio</div><div class="t m0 x1d h14 y3a ff1 fs3 fc0 sc0 ls7 ws27">Premio por riesgo </div><div class="t m0 x6 h14 y3b ff1 fs3 fc0 sc0 ls7 ws27">activo <span class="ff8">1</span></div><div class="t m0 x1a h14 y3c ff1 fs3 fc0 sc0 ls7 ws27">Sharpe Ratio:</div><div class="t m0 x18 h14 y3d ff1 fs3 fc0 sc0 ls7 ws27">Sharpe Ratio Incremental:</div><div class="t m0 x1e h14 y3e ff1 fs3 fc0 sc0 ls7 ws27">El portafolio óptimo se consigue </div><div class="t m0 x1e h14 y3f ff1 fs3 fc0 sc0 ls7 ws27">cuando se igualan ambos Sharpe Ratio</div><div class="t m0 x1f h15 y40 ff1 fse fc0 sc0 ls7">Implican</div><div class="t m0 x20 h14 y41 ff1 fs3 fc0 sc0 ls7 ws27">Supuestos del modelo: </div><div class="t m0 x21 h16 y42 ff1 fs3 fc0 sc0 ls7 ws27">Ausencia de Fricciones <span class="blank _5"></span><span class="ff9">\u25e6</span></div><div class="t m0 x21 h16 y43 ff1 fs3 fc0 sc0 ls7 ws27">Inversionistas Media<span class="ffa ls6">-</span>Varianza <span class="blank _6"></span><span class="ff9">\u25e6</span></div><div class="t m0 x21 h16 y44 ff1 fs3 fc0 sc0 ls7 ws27">Expectativas homogéneas <span class="blank _7"></span><span class="ff9">\u25e6</span></div><div class="t m0 x22 h17 y45 ff8 fs6 fc0 sc0 ls7 ws26">1<span class="ff1 ws27">) Teorema del Fondo Mutuo: </span></div><div class="t m0 x22 h17 y46 ff1 fs6 fc0 sc0 ls7 ws27">Portafolio que combinan el </div><div class="t m0 x22 h17 y47 ff1 fs6 fc0 sc0 ls7 ws27">portafolio tangente y el ALR </div><div class="t m0 x22 h17 y48 ff8 fs6 fc0 sc0 ls7 ws26">2<span class="ff1 ws27">) Portafolio de Mercado es el </span></div><div class="t m0 x22 h17 y49 ff1 fs6 fc0 sc0 ls7 ws27">Portafolio Óptimo </div><div class="t m0 x22 h17 y4a ff1 fs6 fc0 sc0 ls7 ws27"> <span class="fc1">Conclusión principal del CAPM</span> </div><div class="t m0 x19 h2 y4b ff1 fs0 fc0 sc0 ls7">CAPM</div><div class="t m0 x23 h14 y4c ff1 fs3 fc0 sc0 ls7 ws27">riesgo </div><div class="t m0 x23 h14 y4d ff1 fs3 fc0 sc0 ls7">total</div><div class="t m0 x15 h14 y4c ff1 fs3 fc0 sc0 ls7 ws27">riesgo </div><div class="t m0 x24 h14 y4d ff1 fs3 fc0 sc0 ls7">sistemático</div><div class="t m0 x25 h14 y4e ff1 fs3 fc0 sc0 ls7 ws27">riesgo no sistemático </div><div class="t m0 x26 h14 y4f ff1 fs3 fc0 sc0 ls7">(idiosincrásico)</div><div class="t m0 x27 h14 y50 ff1 fs3 fc0 sc0 ls7 ws27">Sólo el riesgo sistemático es compensado </div><div class="t m0 x27 h14 y51 ff1 fs3 fc0 sc0 ls7 ws27">ya que se puede encontrar un portafolio </div><div class="t m0 x28 h14 y52 ff1 fs3 fc0 sc0 ls7 ws27">eficiente que elimine el riesgo no </div><div class="t m0 x29 h14 y53 ff1 fs3 fc0 sc0 ls7">sistemático.</div><div class="t m0 x17 h17 y54 ff8 fs6 fc0 sc0 ls7 ws26">1<span class="ff1 ws27">) Todos los inversionistas tienen portafolios que combinan el portafolio tangente y el ALR </span></div><div class="t m0 x17 h17 y55 ff8 fs6 fc0 sc0 ls7 ws26">2<span class="ff1 ws27">) Aversión al riesgo sólo afecta cuánto se invierte en el ALR </span></div><div class="t m0 x17 h17 y56 ff8 fs6 fc0 sc0 ls7 ws26">3<span class="ff1 ws27">) Todos los inversionistas mantienen los activos riesgosos en la misma proporción </span></div><div class="t m0 x19 h2 y57 ff1 fs0 fc0 sc0 ls7 ws27">Teorema del Fondo Mutuo</div><div class="t m0 x19 h2 y58 ff1 fs0 fc0 sc0 ls7 ws27">Fórmulas Importantes</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w0 h1" alt="" src="https://files.passeidireto.com/cd78882c-6b4e-447a-9cb5-a3f0ba51400c/bg2.png"><div class="t m0 x3 h2 y1 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x2a h2 y2 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x2b h2 ya ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y13 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y14 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y15 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1a ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1b ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1c ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1d ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1e ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1f ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y20 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y59 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y5a ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x2c h18 y5b ff2 fs7 fc0 sc0 ls26"><span class="fc2 sc0">www</span></div><div class="t m0 x2d hd y5c ff2 fs8 fc0 sc0 ls2b"><span class="fc2 sc0">C</span><span class="fs6 ls31 ws28 vf"><span class="fc2 sc0">Rp</span><span class="blank"> </span></span><span class="ff6 fs0 ls32 ws29 v5"><span class="fc2 sc0">Rf</span><span class="blank"> </span></span><span class="fs7 lsd ws2a v6"><span class="fc2 sc0">tw</span><span class="blank"> </span></span><span class="ls15 v3"><span class="fc2 sc0">El</span></span></div><div class="t m0 x2e h19 y5d ff2 fs8 fc0 sc0 ls16 ws2b"><span class="fc2 sc0">Rm</span><span class="blank"> </span><span class="ls2c v0"><span class="fc2 sc0">R</span><span class="fs4 ls7 v6"><span class="fc2 sc0">f</span></span></span></div><div class="t m0 x2f h1a y5e ff2 fs6 fc0 sc0 ls33 ws2c"><span class="fc2 sc0">Op</span><span class="blank"> </span><span class="fs4 ls2d ve"><span class="fc2 sc0">W</span></span><span class="fs8 ls1d v10"><span class="fc2 sc0">Om</span></span></div><div class="t m0 xf h5 y5f ff2 fs3 fc0 sc0 ls34"><span class="fc2 sc0">El</span></div><div class="t m0 x30 h1b y60 ff2 fs6 fc0 sc0 ls31 ws2d"><span class="fc2 sc0">RD</span><span class="blank"> </span><span class="ff6 fs0 ls32 ws2e v11"><span class="fc2 sc0">Rf</span><span class="blank"> </span><span class="ls22 ws2f v0"><span class="fc2 sc0">Bim</span><span class="blank"> </span></span></span><span class="ls1f v4"><span class="fc2 sc0">El</span></span></div><div class="t m0 x11 h1c y61 ff2 fs3 fc0 sc0 ls25 ws30"><span class="fc2 sc0">Rm</span><span class="blank"> </span><span class="ff7 fsd ls35 vd"><span class="fc2 sc0">Rf</span></span></div><div class="t m0 x31 h10 y62 ff6 fs0 fc0 sc0 ls22 ws31"><span class="fc2 sc0">Bim</span><span class="blank"> </span><span class="ffb fsf ls36 ws32 v12"><span class="fc2 sc0">fin</span><span class="blank"> </span></span><span class="ff2 fs8 ls1d ws33 v4"><span class="fc2 sc0">Oi</span><span class="blank"> </span><span class="fs3 ls37 v13"><span class="fc2 sc0">0in</span></span></span></div><div class="t m0 x32 h1d y63 ff2 fs4 fc0 sc0 lse ws34"><span class="fc2 sc0">Om</span><span class="blank"> </span><span class="fse ls38 ve"><span class="fc2 sc0">Omi</span></span></div><div class="t m0 x19 h1e y64 ff2 fs7 fc0 sc0 ls39 ws35"><span class="fc2 sc0">ML</span><span class="blank"> </span><span class="ls1b v0"><span class="fc2 sc0">El</span></span></div><div class="t m0 x33 hd y65 ff2 fs8 fc0 sc0 ls16 ws36"><span class="fc2 sc0">RM</span><span class="blank"> </span><span class="fs7 ls39 ws37 v4"><span class="fc2 sc0">ir</span><span class="blank"> </span><span class="lsd ws38 v4"><span class="fc2 sc0">Br</span><span class="fc2 sc0">m</span></span></span></div><div class="t m0 x34 h1f y66 ff2 fs3 fc0 sc0 ls13 ws39"><span class="fc2 sc0">Rf</span><span class="blank"> </span><span class="fs7 lsd ws3a v10"><span class="fc2 sc0">Br</span><span class="fc2 sc0">m</span><span class="blank"> </span></span><span class="fs4 ls9 v10"><span class="fc2 sc0">El</span></span></div><div class="t m0 x35 h18 y67 ff2 fs7 fc0 sc0 ls3a"><span class="fc2 sc0">Rm</span></div><div class="t m0 x36 h5 y68 ff2 fs3 fc0 sc0 ls13 ws3b"><span class="fc2 sc0">Rf</span><span class="fc2 sc0">t</span></div><div class="t m0 x15 hd y69 ff2 fs8 fc0 sc0 ls3b"><span class="fc2 sc0">Bsnl</span></div><div class="t m0 x37 h6 y6a ff2 fs4 fc0 sc0 ls9"><span class="fc2 sc0">El</span></div><div class="t m0 x38 h20 y6b ff2 fs7 fc0 sc0 ls3a ws3c"><span class="fc2 sc0">Rm</span><span class="blank"> </span><span class="fs8 ls3c v6"><span class="fc2 sc0">Rt</span></span></div><div class="t m0 x39 h21 y6c ff2 fs8 fc0 sc0 ls1d ws3d"><span class="fc2 sc0">Op</span><span class="blank"> </span><span class="fsc ls2e ws3e v14"><span class="fc2 sc0">Ba</span><span class="fc2 sc0">m</span></span></div><div class="t m0 xd h22 y6d ff2 fs7 fc0 sc0 ls26 ws3f"><span class="fc2 sc0">Om</span><span class="blank"> </span><span class="fse ls7 ws40 ve"><span class="fc2 sc0">c</span><span class="fc2 sc0">o</span><span class="blank _1"></span><span class="fc2 sc0">vl</span><span class="fc2 sc0">R</span><span class="fc2 sc0">MR</span><span class="fc2 sc0">D</span><span class="blank _2"></span><span class="fc2 sc0">.</span><span class="fc2 sc0">a</span><span class="fc2 sc0">m</span></span></div><div class="t m0 x3a h18 y6e ff2 fs7 fc0 sc0 ls10"><span class="fc2 sc0">0am</span></div><div class="t m0 x32 h6 y6f ff2 fs4 fc0 sc0 ls3d"><span class="fc2 sc0">cari</span></div><div class="t m0 x3b h6 y70 ff2 fs4 fc0 sc0 ls3e"><span class="fc2 sc0">Rm</span></div><div class="t m0 x3c h5 y71 ff2 fs3 fc0 sc0 ls25"><span class="fc2 sc0">RD</span></div><div class="t m0 x3d h18 y72 ff2 fs7 fc0 sc0 ls26"><span class="fc2 sc0">Om</span></div><div class="t m0 x14 h2 y73 ff1 fs0 fc0 sc0 ls7 ws27">Capital Market Line (CML)</div><div class="t m0 x23 h14 y74 ff1 fs3 fc0 sc0 ls7 ws27">La Capital Market Line nos muestra que, al igual que </div><div class="t m0 x23 h14 y75 ff1 fs3 fc0 sc0 ls7 ws27">en el análisis de Media Varianza, los portafolios </div><div class="t m0 x23 h14 y76 ff1 fs3 fc0 sc0 ls7 ws27">eficientes son todos una combinación del portafolio </div><div class="t m0 x23 h14 y77 ff1 fs3 fc0 sc0 ls7 ws27">tangente (o portafolio de Mercado en el CAPM) y el </div><div class="t m0 x23 h14 y78 ff1 fs3 fc0 sc0 ls7 ws27">Activo Libre de Riesgo. </div><div class="t m0 x23 h14 y79 ff1 fs3 fc0 sc0 ls7 ws27">El retorno del portafolio está determinado por la </div><div class="t m0 x23 h14 y7a ff1 fs3 fc0 sc0 ls7 ws27">fracción <span class="ffa ls2f">\u201c</span><span class="ws25">w<span class="ffa ls30">\u201d</span></span> que se invierte en el portafolio de </div><div class="t m0 x23 h14 y7b ff1 fs3 fc0 sc0 ls7">mercado</div><div class="t m0 x23 h14 y7c ff1 fs3 fc0 sc0 ls7 ws27">La Security Market Line nos muestra que el retorno </div><div class="t m0 x23 h14 y7d ff1 fs3 fc0 sc0 ls7 ws27">esperado de una acción depende directamente del </div><div class="t m0 x23 h14 y7e ff1 fs3 fc0 sc0 ls7 ws27">Beta de mercado que posee esa acción. Ahora bien, <span class="ff8 ws25">2</span> </div><div class="t m0 x23 h14 y7f ff1 fs3 fc0 sc0 ls7 ws27">acciones con el mismo Beta no necesariamente </div><div class="t m0 x23 h14 y80 ff1 fs3 fc0 sc0 ls7 ws27">tienen la misma volatilidad (porque existe el riesgo </div><div class="t m0 x23 h14 y81 ff1 fs3 fc0 sc0 ls7 ws25">idiosincrático<span class="ffa">\u2019</span></div><div class="t m0 x13 h14 y82 ff1 fs3 fc0 sc0 ls7 ws27">Al analizar la CML en conjunto con la SML llegamos a la típica ecuación del CAPM, en donde el </div><div class="t m0 x13 h14 y83 ff1 fs3 fc0 sc0 ls7 ws27">retorno esperado del portafolio eficiente es la tasa libre de riesgo más el Betancourt del </div><div class="t m0 x13 h14 y84 ff1 fs3 fc0 sc0 ls7 ws27">portafolio por el exceso del retorno de mercado.</div><div class="t m0 x14 h2 y85 ff1 fs0 fc0 sc0 ls7 ws27">Security Market Line (SML)</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w0 h1" alt="" src="https://files.passeidireto.com/cd78882c-6b4e-447a-9cb5-a3f0ba51400c/bg3.png"><div class="t m0 x3 h2 y1 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y6 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y7 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y8 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3e h2 y9 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3f h2 ya ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yb ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yc ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yd ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 ye ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x40 h2 y10 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y11 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y12 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y13 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y14 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y15 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y16 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y17 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y18 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y19 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y20 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y59 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y5a ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x16 hd y86 ff2 fs8 fc0 sc0 ls49 ws41"><span class="fc2 sc0">CA</span><span class="blank"> </span><span class="fc2 sc0">P</span></div><div class="t m0 x31 hd y87 ff2 fs8 fc0 sc0 ls3f"><span class="fc2 sc0">M</span><span class="fs3 ls25 ws42 v7"><span class="fc2 sc0">Rie</span><span class="blank"> </span></span><span class="fs3 ls13 ws43 v11"><span class="fc2 sc0">Rf</span><span class="blank"> </span></span><span class="fs7 ls26 ws44 va"><span class="fc2 sc0">xi</span><span class="blank"> </span></span><span class="ls3b ws45 vd"><span class="fc2 sc0">Bim</span><span class="blank"> </span></span><span class="fs7 ls3a ws46 v1"><span class="fc2 sc0">Rne</span><span class="blank"> </span></span><span class="ls18 ws47 v6"><span class="fc2 sc0">Rf</span><span class="blank"> </span></span><span class="fse ls7 ws40 v4"><span class="fc2 sc0">1</span></span><span class="fs4 ls9 v7"><span class="fc2 sc0">Eia</span></span></div><div class="t m0 x39 h23 y88 ff2 fs3 fc0 sc0 ls25 ws48"><span class="fc2 sc0">Rie</span><span class="blank"> </span><span class="ff6 fs0 ls32 ws49 v15"><span class="fc2 sc0">Rf</span><span class="blank"> </span></span><span class="fs4 ls9 ws4a v4"><span class="fc2 sc0">Xi</span><span class="blank"> </span></span><span class="fse ls40 v16"><span class="fc2 sc0">t</span></span><span class="ls14 ws4b v6"><span class="fc2 sc0">Bim</span><span class="blank"> </span></span><span class="fs6 ls31 ws4c v1"><span class="fc2 sc0">Rmt</span><span class="blank"> </span></span><span class="ff6 fs0 ls32 ws4d v17"><span class="fc2 sc0">Rf</span><span class="blank"> </span></span><span class="fs6 ls4a v0"><span class="fc2 sc0">Bi</span></span></div><div class="t m0 x41 h24 y89 ff2 fs7 fc0 sc0 ls4b ws4e"><span class="fc2 sc0">SMB</span><span class="blank"> </span><span class="fse ls7 ws40 v16"><span class="fc2 sc0">S</span><span class="fc2 sc0">MB</span><span class="fc2 sc0">.</span><span class="fc2 sc0">i</span><span class="fc2 sc0">t</span></span><span class="fs8 ls3b v13"><span class="fc2 sc0">BiH</span></span></div><div class="t m0 x42 h25 y8a ff2 fse fc0 sc0 ls7 ws4f"><span class="fc2 sc0">ML</span><span class="blank"> </span><span class="fs3 ls14 v0"><span class="fc2 sc0">HM</span></span></div><div class="t m0 x43 h10 y8b ff6 fs0 fc0 sc0 ls4c ws50"><span class="fc2 sc0">Lz</span><span class="blank"> </span><span class="ff2 fs7 ls41 ve"><span class="fc2 sc0">t</span><span class="fs3 ls34 vd"><span class="fc2 sc0">Ece</span></span></span></div><div class="t m0 x24 h5 y8c ff2 fs3 fc0 sc0 lsc ws51"><span class="fc2 sc0">sina</span><span class="fc2 sc0">.</span><span class="blank _4"></span><span class="fc2 sc0">vn</span></div><div class="t m0 x32 h26 y8d ff2 fs6 fc0 sc0 ls1f ws52"><span class="fc2 sc0">El</span><span class="blank"> </span><span class="fs8 ls15 ws53 v2"><span class="fc2 sc0">Ei</span><span class="blank"> </span></span><span class="ff7 fsd ls4d ws54 v18"><span class="fc2 sc0">Ej</span><span class="blank"> </span></span><span class="fs8 ls7 v8"><span class="fc2 sc0">0</span></span></div><div class="t m0 x44 h27 y8e ff7 fsd fc0 sc0 ls4e ws55"><span class="fc2 sc0">Rp</span><span class="fc2 sc0">t</span><span class="blank"> </span><span class="ff4 fsa ls20 ws56 v1"><span class="fc2 sc0">Rf</span><span class="blank"> </span></span><span class="ff2 fs3 lsc ws57 v0"><span class="fc2 sc0">xp</span><span class="blank"> </span><span class="ls14 ws58 v4"><span class="fc2 sc0">Bp</span><span class="blank"> </span></span><span class="fs8 ls4f ws59 ve"><span class="fc2 sc0">Rc</span><span class="blank"> </span><span class="fc2 sc0">t</span><span class="blank _8"> </span><span class="ls42 v2"><span class="fc2 sc0">R</span></span></span><span class="fs4 ls43 v9"><span class="fc2 sc0">f</span><span class="ls50 ws5a v19"><span class="fc2 sc0">tu</span><span class="blank"> </span></span></span><span class="fs8 ls15 ws5b ve"><span class="fc2 sc0">El</span><span class="blank"> </span></span><span class="fs4 ls3e ws5c v1a"><span class="fc2 sc0">Rit</span><span class="blank"> </span><span class="ls44 v2"><span class="fc2 sc0">R</span><span class="ls45 vd"><span class="fc2 sc0">f</span></span></span></span><span class="ls51 ws5d ve"><span class="fc2 sc0">IB</span><span class="fc2 sc0">L</span><span class="blank"> </span></span><span class="fs8 ls15 v1a"><span class="fc2 sc0">El</span></span></span></div><div class="t m0 x45 hd y8f ff2 fs8 fc0 sc0 ls4f ws5e"><span class="fc2 sc0">Ro</span><span class="fc2 sc0">t</span><span class="blank _9"> </span><span class="fs3 ls13 v17"><span class="fc2 sc0">Rf</span></span></div><div class="t m0 x46 h14 y90 ff1 fs3 fc0 sc0 ls7 ws27">El CAPM no captura todos los riesgos <span class="ffc ws5f">\u2192</span> Teoría alternativa de retornos esperados al CAPM </div><div class="t m0 x47 h14 y91 ff1 fs3 fc0 sc0 ls7 ws27">basado en propiedades estadísticas <span class="blank _a"> </span> <span class="blank _b"> </span> <span class="blank _b"> </span> </div><div class="t m0 x46 h14 y92 ff1 fs3 fc0 sc0 ls7 ws27">APT multifactorial: Incluir <span class="ffa ws60">"</span><span class="ws25">k<span class="ffa ws60">"</span></span> factores para capturar todas las fuentes de movimiento común</div><div class="t m0 x1 h15 y93 ff1 fse fc1 sc0 ls7 ws27">Retornos de Portafolios que capturan </div><div class="t m0 x1 h15 y94 ff1 fse fc1 sc0 ls7 ws27">movimientos comunes entre activos </div><div class="t m0 x48 h28 y95 ff1 fs4 fc0 sc0 ls7 ws27">Factor de a Mercado </div><div class="t m0 x48 h28 y96 ff1 fs4 fc0 sc0 ls7 ws27">Exceso de restorno </div><div class="t m0 x48 h28 y97 ff1 fs4 fc0 sc0 ls7 ws27">Índice de mercado</div><div class="t m0 x22 h15 y98 ff1 fse fc0 sc0 ls7 ws27">Tamaño </div><div class="t m0 x22 h15 y99 ff1 fse fc0 sc0 ls7 ws27">Diferentes </div><div class="t m0 x22 h15 y9a ff1 fse fc0 sc0 ls7 ws27">retornos de firmas </div><div class="t m0 x22 h15 y9b ff1 fse fc0 sc0 ls7 ws27">Grandes y Chicas </div><div class="t m0 x22 h15 y9c ffa fse fc0 sc0 ls46">\u201c<span class="ff1 ls7 ws27">Size Spread</span><span class="ls6">\u201d<span class="ff1 ls7 ws27"> </span></span></div><div class="t m0 x22 h15 y9d ff1 fse fc0 sc0 ls7 ws27">(Small <span class="ffa ls47">-</span> Big)</div><div class="t m0 x14 h29 y9e ff1 fs7 fc0 sc0 ls7 ws27">MODELO FAMA<span class="ffa ls6">-</span>FRENCH</div><div class="t m0 x49 h14 y9f ff1 fs3 fc0 sc0 ls7 ws27">Supuesto APT:<span class="blank _c"> </span><span class="v1">Los residuos no </span></div><div class="t m0 x4a h14 ya0 ff1 fs3 fc0 sc0 ls7 ws27">están </div><div class="t m0 x4a h14 ya1 ff1 fs3 fc0 sc0 ls7 ws27">correlacionados </div><div class="t m0 x4a h14 ya2 ff1 fs3 fc0 sc0 ls7 ws27">entre activos</div><div class="t m0 x4b h15 y98 ff1 fse fc0 sc0 ls7 ws27">Book To Market </div><div class="t m0 x4b h15 y99 ff1 fse fc0 sc0 ls7 ws27">Diferentes retornos de </div><div class="t m0 x4b h15 y9a ff1 fse fc0 sc0 ls7 ws27">firmas con alta y baja </div><div class="t m0 x4b h15 y9b ff1 fse fc0 sc0 ls7 ws27">razón Book To Market </div><div class="t m0 x4b h15 y9c ffa fse fc0 sc0 ls46">\u201c<span class="ff1 ls7 ws27">Value Spread</span><span class="ls6">\u201d<span class="ff1 ls7 ws27"> </span></span></div><div class="t m0 x4b h15 y9d ff1 fse fc0 sc0 ls7 ws61">(High<span class="ffa ls47">-</span>Low)</div><div class="t m0 x4c h14 ya3 ff1 fs3 fc0 sc0 ls7 ws27">El riesgo residual de cada acción es </div><div class="t m0 x4c h14 ya4 ff1 fs3 fc0 sc0 ls7 ws27">idiosincrático/independiente (no relacionado </div><div class="t m0 x4c h14 ya5 ff1 fs3 fc0 sc0 ls7 ws27">con el riesgo residual de otra acción)</div><div class="t m0 x4d h2 ya6 ff1 fs0 fc0 sc0 ls7 ws27">CAPM <span class="blank _0"></span> <span class="blank _b"> </span> <span class="blank _d"> </span> <span class="blank _d"> </span> <span class="blank _b"> </span> APT </div><div class="t m0 x4e h2 ya7 ff1 fs0 fc0 sc0 ls7 ws27">No requiere optimización de Media Varianza <span class="blank _e"></span><span class="ffa">\u2022</span></div><div class="t m0 x4e h2 ya8 ff1 fs0 fc0 sc0 ls7 ws27">Supuesto: Ausencia de arbitraje (muy débil) <span class="blank _f"></span><span class="ffa">\u2022</span></div><div class="t m0 x4e h2 ya9 ff1 fs0 fc0 sc0 ls7 ws27">Requiere estructura sobre los retornos <span class="blank _10"></span><span class="ffa">\u2022</span></div><div class="t m0 x1c h2 yaa ff1 fs0 fc0 sc0 ls7 ws27"> <span class="blank _d"> </span>El mercado es capaz de agotar las fuentes </div><div class="t m0 x1c h2 yab ff1 fs0 fc0 sc0 ls7 ws27">de movimientos comunes entre activos.</div><div class="t m0 x4f h2 ya7 ff1 fs0 fc0 sc0 ls7 ws27">Requiere optimizar Media Varianza y <span class="blank _11"></span><span class="ffa">\u2022</span></div><div class="t m0 x4f h2 ya8 ff1 fs0 fc0 sc0 ls7 ws27">equilibrio </div><div class="t m0 x4f h2 ya9 ff1 fs0 fc0 sc0 ls7 ws27">Da expresión para el retorno esperado <span class="blank _12"></span><span class="ffa">\u2022</span></div><div class="t m0 x4f h2 yaa ff1 fs0 fc0 sc0 ls7 ws27">de todos los activos de la economía </div><div class="t m0 x50 h14 yac ff8 fs3 fc0 sc0 ls7 ws25">1<span class="ff1 ws27">) Oportunidad de arbitraje tenderá a desaparecer, en equilibrio el alfa es cero. </span></div><div class="t m0 x50 h14 yad ff8 fs3 fc0 sc0 ls7 ws25">2<span class="ff1 ws27">) Activos individuales pueden tener alfa distinto de cero por muy poco porque si </span></div><div class="t m0 x50 h14 yae ff1 fs3 fc0 sc0 ls7 ws27">no habría una oportunidad de arbitraje</div><div class="t m0 x51 h2a yaf ff1 fsc fc0 sc0 ls7 ws27">Rwinners <span class="ffa ls47">-</span> Rloosers</div><div class="t m0 x52 h2a yb0 ffa fsc fc0 sc0 ls48">*<span class="ff1 ls7">Carhart:</span></div><div class="t m0 x53 h2 yb1 ff1 fs0 fc0 sc0 ls7">APT</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w0 h1" alt="" src="https://files.passeidireto.com/cd78882c-6b4e-447a-9cb5-a3f0ba51400c/bg4.png"><div class="t m0 x3 h2 y1 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x26 h2 y2 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y9 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 ya ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yb ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yc ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yd ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 ye ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yf ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y10 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y11 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y12 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y13 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y14 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y15 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y16 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y17 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y18 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y19 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1a ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1b ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1c ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1d ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1e ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y1f ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y20 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y59 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y5a ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x30 h10 yb2 ff6 fs0 fc0 sc0 ls22 ws62"><span class="fc2 sc0">PP</span><span class="blank"> </span><span class="ls4f ws63 v3"><span class="fc2 sc0">Ra</span><span class="blank"> </span></span><span class="ff2 fs3 ls55 ws64 v13"><span class="fc2 sc0">Pa</span><span class="blank"> </span><span class="fc2 sc0">t</span><span class="blank"> </span><span class="fc2 sc0">r</span><span class="blank"> </span><span class="fc2 sc0">i</span><span class="blank"> </span><span class="fc2 sc0">m</span><span class="blank"> </span><span class="fc2 sc0">o</span><span class="blank"> </span><span class="fc2 sc0">n</span><span class="blank"> </span><span class="fc2 sc0">i</span><span class="blank"> </span><span class="fc2 sc0">o</span><span class="blank _13"> </span><span class="fs6 ls56 ws65 v7"><span class="fc2 sc0">Re</span><span class="blank"> </span></span><span class="ls51 ws66 v2"><span class="fc2 sc0">De</span><span class="fc2 sc0">u</span><span class="fc2 sc0">d</span><span class="fc2 sc0">a</span><span class="blank"> </span><span class="fs6 ls31 vf"><span class="fc2 sc0">RD</span></span></span></span></div><div class="t m0 x54 h2b yb3 ff2 fs3 fc0 sc0 ls55 ws64"><span class="fc2 sc0">Pa</span><span class="blank"> </span><span class="fc2 sc0">t</span><span class="blank"> </span><span class="fc2 sc0">r</span><span class="blank"> </span><span class="fc2 sc0">i</span><span class="blank"> </span><span class="fc2 sc0">m</span><span class="blank"> </span><span class="fc2 sc0">o</span><span class="blank"> </span><span class="fc2 sc0">n</span><span class="blank"> </span><span class="fc2 sc0">i</span><span class="blank"> </span><span class="fc2 sc0">o</span><span class="blank _14"> </span><span class="ls51 ws67 v0"><span class="fc2 sc0">De</span><span class="fc2 sc0">u</span><span class="fc2 sc0">d</span><span class="fc2 sc0">a</span><span class="blank"> </span></span><span class="fc2 sc0">Pa</span><span class="blank"> </span><span class="fc2 sc0">t</span><span class="blank"> </span><span class="fc2 sc0">r</span><span class="blank"> </span><span class="fc2 sc0">i</span><span class="blank"> </span><span class="fc2 sc0">m</span><span class="blank"> </span><span class="fc2 sc0">o</span><span class="blank"> </span><span class="fc2 sc0">n</span><span class="blank"> </span><span class="fc2 sc0">i</span><span class="blank"> </span><span class="fc2 sc0">o</span><span class="blank _14"> </span><span class="ls51 ws68 v0"><span class="fc2 sc0">De</span><span class="fc2 sc0">u</span><span class="fc2 sc0">d</span><span class="fc2 sc0">a</span></span></div><div class="t m0 x53 h14 yb4 ff1 fs3 fc0 sc0 ls7 ws27">CCPP <span class="ff8">= </span>WACC: Costo de Capital Promedio Ponderado </div><div class="t m0 x53 h14 yb5 ff1 fs3 fc0 sc0 ls7 ws27">Importante: Activo <span class="ff8">= </span>Pasivo <span class="ff8">+ </span>Patrimonio (Los activos deben financiar según una identidad de </div><div class="t m0 x53 h14 yb6 ff1 fs3 fc0 sc0 ls7 ws27">capital compuesta por una proporción de Deuda (Pasivo) o Patrimonio</div><div class="t m0 x18 h14 yb7 ff1 fs3 fc0 sc0 ls7 ws27">Objetivo: Buscar una estructura de Capital que maximice el valor de la empresa </div><div class="t m0 x18 h14 yb8 ff1 fs3 fc0 sc0 ls7 ws27"> </div><div class="t m0 x18 h14 yb9 ff1 fs3 fc0 sc0 ls7 ws27">Trade Off Clave: Mayor deuda <span class="ffc ws5f">\u2192</span> Mayor Leverage (apalancamiento) <span class="ffc ws5f">\u2192</span> Aumenta el riesgo de </div><div class="t m0 x18 h14 yba ff1 fs3 fc0 sc0 ls7 ws27">la firma (más volatilidad) y también aumenta el retorno exigido por los accionistas (patrimonio). </div><div class="t m0 x18 h14 ybb ff1 fs3 fc0 sc0 ls7 ws27"> </div><div class="t m0 x18 h14 ybc ff1 fs3 fc0 sc0 ls7 ws27">CAMBIAR LA ESTRUCTURA DE CAPITAL NO CAMBIA EL CCPP (Con supuestos de MM)</div><div class="t m0 x55 h2 ybd ff1 fs0 fc0 sc0 ls7 ws27">Estructura de Capital</div><div class="t m0 x56 h17 ybe ff1 fs6 fc0 sc0 ls7 ws27">Costos de quiebra: </div><div class="t m0 x57 h14 ybf ff1 fs3 fc0 sc0 ls7 ws27">Que hayan costos de quiebra implica que ya ni se puede asumir mercados <span class="blank _15"></span><span class="ffd">\u2023</span></div><div class="t m0 x57 h14 yc0 ff1 fs3 fc0 sc0 ls7 ws27">perfectos </div><div class="t m0 x57 h14 yc1 ff1 fs3 fc0 sc0 ls7 ws27">Reducen los flujos de caja disponibles para los inversionistas <span class="blank _16"></span><span class="ffd">\u2023</span></div><div class="t m0 x57 h14 yc2 ff1 fs3 fc0 sc0 ls7 ws27">Los accionistas son los que pagan los costos de quiebra al tomar la deuda <span class="blank _17"></span><span class="ffd">\u2023</span></div><div class="t m0 x56 h17 yc3 ff1 fs6 fc0 sc0 ls7 ws27">Debt Overhang </div><div class="t m0 x57 h14 yc4 ff1 fs3 fc0 sc0 ls7 ws27">No se invierte en proyectos que, si son rentables, los accionistas (quienes <span class="blank _18"></span><span class="ffd">\u2023</span></div><div class="t m0 x57 h14 yc5 ff1 fs3 fc0 sc0 ls7 ws27">deciden) no se benefician de proyecto, ya que no tienen incentivos a invertir </div><div class="t m0 x57 h14 yc6 ff1 fs3 fc0 sc0 ls7 ws27">Firma Sub<span class="ffa ls6">-</span>Invierte <span class="blank _19"></span><span class="ffd">\u2023</span></div><div class="t m0 x56 h14 yc7 ff1 fs3 fc0 sc0 ls52 ws27"> <span class="ff8 ls7 ws25">1</span><span class="ls7">. Evaluar E y D sin proyecto </span></div><div class="t m0 x56 h14 yc8 ff1 fs3 fc0 sc0 ls52 ws27"> <span class="ff8 ls7 ws25">2</span><span class="ls7">. Evaluar E<span class="ffa ls53">\u2019</span> con Inversión </span></div><div class="t m0 x56 h14 yc9 ff1 fs3 fc0 sc0 ls52 ws27"> <span class="ff8 ls7 ws25">3</span><span class="ls7">. E <span class="ff8">= </span><span class="ws25">E<span class="ffa ls53">\u2019</span></span><span class="ff8"> - </span><span class="ws25">E</span><span class="ff8"> </span></span></div><div class="t m0 x56 h14 yca ff8 fs3 fc0 sc0 ls52 ws27"> 4<span class="blank _1a"></span><span class="ff1 ls7">. Se hace proyecto si E <span class="ff8">> </span>Costo de inversión </span></div><div class="t m0 x56 h14 ycb ff1 fs3 fc0 sc0 ls7 ws27"> <span class="blank _b"> </span> <span class="blank _b"> </span> Deuda se mueva parte de los Flujos <span class="ffc ws5f">\u2192</span> Tienen derechos senior sobre ellos </div><div class="t m0 x56 h17 ycc ff1 fs6 fc0 sc0 ls7 ws27">Risk Shifting </div><div class="t m0 x58 h17 ycd ffa fs6 fc0 sc0 ls30">\u201c<span class="ff1 ls7 ws27">Apostando con dinero ajeno</span><span class="ls54">\u201d<span class="ff1 ls7 ws27"> <span class="ffc ws69">\u2192</span> Hay distintos derechos sobre los flujos. <span class="blank _1b"></span><span class="ffd">\u2023</span></span></span></div><div class="t m0 x58 h17 yce ff1 fs6 fc0 sc0 ls7 ws27">Los accionistas preferirían proyectos que valor empresa (VPN<span class="ff8 ws26"><0</span>) pero </div><div class="t m0 x58 h17 ycf ff1 fs6 fc0 sc0 ls7 ws27">que tienen retornos positivos para ellos (Acreedores absorben diferencia)</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w0 h1" alt="" src="https://files.passeidireto.com/cd78882c-6b4e-447a-9cb5-a3f0ba51400c/bg5.png"><div class="t m0 x3 h2 y1 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y2 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y4 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y5 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y6 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y7 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y8 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 y9 ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 ya ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yb ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x3 h2 yc ff1 fs0 fc0 sc0 ls7 ws27"> </div><div class="t m0 x59 h14 yd0 ff1 fs3 fc0 sc0 ls52 ws27"> <span class="ff8 ls7 ws25">1</span><span class="ls7">. Calcular el VPN del proyecto </span></div><div class="t m0 x59 h14 yd1 ff1 fs3 fc0 sc0 ls52 ws27"> <span class="ff8 ls7 ws25">2</span><span class="ls7">. Evaluar E y D sin proyecto </span></div><div class="t m0 x59 h14 yd2 ff1 fs3 fc0 sc0 ls52 ws27"> <span class="ff8 ls7 ws25">3</span><span class="ls7">. Evaluar E<span class="ffa ls53">\u2019</span> con Inversión </span></div><div class="t m0 x59 h14 yd3 ff1 fs3 fc0 sc0 ls52 ws27"> <span class="ff8 ls7 ws25">4</span><span class="ls7">. E <span class="ff8">= </span><span class="ws25">E<span class="ffa ls53">\u2019</span></span><span class="ff8"> - </span><span class="ws25">E</span><span class="ff8"> </span></span></div><div class="t m0 x59 h14 yd4 ff8 fs3 fc0 sc0 ls52 ws27"> 5<span class="blank _1a"></span><span class="ff1 ls7">. Se hace proyecto si E <span class="ff8">> </span>Costo de inversión </span></div><div class="t m0 x59 h14 yd5 ff1 fs3 fc0 sc0 ls7 ws27"> <span class="blank _b"> </span> <span class="blank _b"> </span> Deuda se mueva parte de los Flujos <span class="ffc ws5f">\u2192</span> Tienen derechos senior sobre ellos </div><div class="t m0 x59 h17 yd6 ff1 fs6 fc0 sc0 ls7 ws27">Asimetría de Información </div><div class="t m0 x5a h14 yd7 ff1 fs3 fc0 sc0 ls7 ws27">Las decisiones de reestructura de capital pueden señalizar la información <span class="blank _1c"></span><span class="ffd">\u2023</span></div><div class="t m0 x5a h14 yd8 ff1 fs3 fc0 sc0 ls7 ws27">superior de los gerentes a los inversionistas. </div><div class="t m0 x5a h14 yd9 ff1 fs3 fc0 sc0 ls7 ws27">Orden de financiamiento (Pecking Order) <span class="blank _1d"></span><span class="ffd">\u2023</span></div><div class="t m0 x59 h14 yda ff1 fs3 fc0 sc0 ls52 ws27"> <span class="ff8 ls7 ws25">1</span><span class="ls7">. Utilidades Retenidas </span></div><div class="t m0 x59 h14 ydb ff8 fs3 fc0 sc0 ls52 ws27"> 2<span class="blank _1a"></span><span class="ffa ls7 ws60">.<span class="ff8 ws27"> <span class="ff1">Deuda <span class="ffc ws5f">\u2192</span> Señaliza confianza en el futuro de la firma</span> </span></span></div><div class="t m0 x59 h14 ydc ff8 fs3 fc0 sc0 ls52 ws27"> 3<span class="blank _1a"></span><span class="ff1 ls7 ws25">.<span class="ff8 ws27"> <span class="ff1">Acciones / Capital <span class="ffc ws5f">\u2192</span></span> <span class="ff1">Señaliza debilidad (sobrevaloradas)</span></span></span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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