PUCP Econometría 2 (ECO330) 0722(2012-2)

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2* Bjhe|}ej/ Bjhe|}ej/ X*K*/ bjh Liooe|}oeq Liooe|}oeq X*/ .233>#/ .233>#/ ‟Bj}{e|cjk ‟Bj}{e|cjk xne }devxcm}7 }devxcm}7 se}/ se}/ }xbjhb|h }xbjhb|h qiobxcocxs ìheo} hi v|iqche bmmu|bxe ai|emb}x}/‐ Cjxe|jbxcijbo Emiji`cm \eqce{ =3/ =3/ >>5365* <* Bjhe|} Bjhe|}ej/ ej/ X* K*/ Lio Liooe| oe|}oe }oeq/ q/ X*/ Hcelioh Hcelioh// A* ^*/ bjh Obls}/ Obls}/ V* .<662b .<662b#/ #/ ‟Xne ‟Xne hc} hc} x|cluxcij x|cluxcij ia |ebocweh |ebocweh e~mnbjk e~mnbjkee |bxe qiobxcocx qiobxcocxs s/‐ Giu|jbo Giu|jbo ia xne Bè|cm Bè|cmbj bj ]xbxc}xcm ]xbxc}xcmbo bo B}}imcbxcij 31/ 31/ 8<55* =* Bjhe|}ej/ Bjhe|}ej/ X* K*/ Liooe|}oeq/ Liooe|}oeq/ X*/ Hcelioh/ A* ^*/ bjh Obls}/ Obls}/ V* .<662l#/ ‟Xne hc}x|cl hc}x|cl uxcij ia |ebocweh }ximd |exu|j qiobxcocxs/‐ Giu|jbo ia Acjbjmcbo Emiji`cm} 12/ 12/ 8=;1* 8* Liooe|}oeq Liooe|}oeq// X* .23>1#/ .23>1#/ ‟Keje|boc ‟Keje|bocweh weh Buxi|ek|e Buxi|ek|e}}cq }}cqee Mijhcxcijb Mijhcxcijboo Nexe|i}d Nexe|i}dehb} ehb}xcmcx xcmcxs s/‐ Giu|jbo ia Emijièx|cm} =2.=#/ =2.=#/ =6;<;* 5* Liooe|}oeq Liooe|}oeq// X* bjh [iioh|chke [iioh|chke G*@* .233<#/ .233<#/ ‟Rub}c@b ‟Rub}c@b~c` ~cù` u` Ocdeocniih Ocdeocniih E}xc`bxcij bjh Cjae|ejme cj Hsjb`cm @iheo} {cxn XcèQb|scjk Miqb|cbjme}/‐ Emijièx|cm Emijièx|cm \eqce{} 22.<#/ 22.<#/ 28=;<* 1* Ejkoe/ Ejkoe/ \* A* .23><#/ .23><#/ ‟Buxi|ek| ‟Buxi|ek|e}}cq e}}cqee Mijhcxcijb Mijhcxcijboo Nexe|i}d Nexe|i}dehb} ehb}xcmcx xcmcxs s {cxn E}xc`bxe} E}xc`bxe} ia xne Qb|cbjme ia Ujcxeh Dcjkhi` Cj•bxcij/‐ Emijièx|cmb 56.8#/ 56.8#/ 3>;266;* ;* Ejkoe/ \*A* bjh Oee/ K*K* G* .2333#/ . 2333#/ ‟B Ve|`bjejx Ve|`bjejx bjh X|bj}cxi|s X|bj}cxi|s Mi`vijejx @iheo ia ]ximd \exu|j Qiobxcocxs/‐ cj Micjxek|bxcij/ Mbu}bocxs/ bjh Ai|emb}xcjk7 B Ae}x}mn|cax cj Nijiu| ia Mocqe [* G* K|bjke| / \ile|x A* Ejkoe bjh Nbole|x [ncxe/ eh}* I~ai|h7 I~ai|h Ujcqe|}cxs V|e}}/ 8;53;* >* Ejkoe/ Ejkoe/ \* A* bjh Gi}evn @ew|cmn* @ew|cmn* .2331#/ .2331#/ ‟KB\MN ‟KB\MN ai| K|iuv}/‐ \C]D 3.>#/ =186* 3* Ejkoe/ Ejkoe/ \* A* bjh Qcmxi| Jk* .233=#/ .233=#/ ‟@eb}u|cjk ‟@eb}u|cjk bjh Xe}xcjk Xe}xcjk xne C`vbmx C`vbmx ia Je{} ij Qiobxcocxs/‐ Giu|jbo ia Acjbjme 8>.5#/ 8>.5#/ 2;83;>* 26* Ejkoe/ \*/ Xbdbxi}nc Xbdbxi}nc Cxi bjh [ejOcjk Ocj* .2336#/ ‟@exei| ]ni{e|} ]ni{e|} i| Nebx [bqe}9 [bqe}9 Nexe|i}dehb}xcm Cjx|bHbcos Qiobxcocxs cj xne Ai|eckj E~mnbjke @b|dex/‐ Emijièx|cmb 5>.=#/ 5>.=#/ 5<58<* 22* Ejkoe/ \*/ Jk Q* bjh \ixn}mncoh @* .233<#/ ‟B @uoxcHsjb`cm Abmxi| Abmxi| @iheo ai| ]ximd \exu|j}/‐ Giu|jbo ia Emijièx|cm} 5<.2<#/ 5<.2<#/ <8511* 2<* Kb|`bj/ @* L* bjh Dob}}/ @* G* .23>6#/ .23>6#/ ‟Ij xne e}xc`bxcij ia }emu|cxs v|cme qiobxcocxce} a|i` nc}xi|cmbo hbxb/‐ Giu|jbo ia Lu}cje}} 5=/ 5=/ 1;;>* 2=* Koi}xej/ Koi}xej/ O* \*/ Gbkbjjbxnb Gbkbjjbxnbj j \* bjh \ujdoe \ujdoe H*E* .233=#/ .233=#/ ‟Ij xne \eobxcij Lex{eej Lex{eej xne E~vemxeh Qboue bjh xne Qiobxcocxs ia xne Ji`cjbo E~me}} \exu|j} ij ]ximd}/‐ Giu|jbo ia Acjbjme 8>.5#/ 8>.5#/ 2;;3>62*

3

28* Nbj}ej/ Nbj}ej/ V*/ V*/ bjh Oujhe B* .<665#/ ‟B ai|emb}x ai|emb}x mi`vb|c}i mi`vb|c}ij j ia qiobxcocx qiobxcocxs s ìheo}7 Hie} bjsxncjk lebx b KB\MN.2/2#9/‐ Giu|jbo ia Bvvoceh Emijièx|cm} <6/ <6/ >;=>3* 25* 25* Jeo}ij Jeo}ij// H* L* .2336# .2336#// ‟]xbxc ‟]xbxcijb ijb|cx |cxs s bjh ve|}c}xe ve|}c}xejme jme cj xne KB KB\M \MN.2 N.2/2# /2# ìheo/‐ ìheo/‐ Emijièx|cm Xnei|s 1/ =2>==8* 21* Jeo}ij/ Jeo}ij/ H* L* .2332#/ ‟Mijhcxcijb ‟Mijhcxcijboo Nexe|i}mehb}x Nexe|i}mehb}xcmcx cmcxs s cj B}}ex \exu|j}7 \exu|j}7 B Je{ Bv v|ibmn/‐ Emijièx|cmb 53.<#/ 53.<#/ =8;;6* 2;* Vbkbj/ Vbkbj/ B*/ bjh ]mn{e|x [* .2336#/ ‟Boxe|jbxcqe ‟Boxe|jbxcqe ìheo} ai| mijhcxcijbo }ximd qiobxco cxs/‐ Giu|jbo ia Emijièx|cm} 85/ 85/ <1;36* 2>* \ble`bjbjg \ble`bjbjgb|b/ b|b/ \* bjh Wbdicbj Wbdicbj G* @* .233=#/ ‟Xn|e}nioh ‟Xn|e}nioh B|mn @iheo} bjh B}s` èx|ce} cj Qiobxcocxs/‐ Giu|jbo ia Bvvoceh Emijièx|cm} >.2#/ =283* 23* \ike|}/ \ike|}/ O* M* K* bjh ]bxmneoo/ ]bxmneoo/ ]* E* .2332#/ ‟E}xc`bxcjk ‟E}xc`bxcjk qb|cbj qb|cbjme me a|i` nckn/ oi{ bjh moi}cjk v|cme}*‐ Bjjbo} ia Bvvoceh V|ilblcocxs 2/ 56852<* <6* [e}x/ D*/ bjh Mni H* .2335#/ .2335#/ ‟Xne v|ehcmxcq v|ehcmxcqee blcocxs ia }eqe|bo }eqe|bo ìheo} ia e~mnbjk e~mnbjkee |bxe qiobxcocxs/‐ Giu|jbo ia Emijièx|cm} 13/ 13/ =1;32* <2* Sbjk/ H* bjh Wnbjk/ R* .<666#/ .<666#/ ‟H|caxcjh ‟H|caxcjhevejhej evejhejxx qiobxcocx qiobxcocxs s e}xc`bxcij e}xc`bxcij lb}eh ij nckn/ oi{/ ivej/ bjh moi}e v|cme}/‐ Giu|jbo ia Lu}cje}} ;=/ ;=/ 8;;832* <<* Wbdicbj/ G* @* .2338#/ .2338#/ ‟Xn|e}nioh nexe|i}mehb}xcm nexe|i}mehb}xcm ìheo}/‐ Giu|jbo ia Emiji`cm Hsjb`cm} bjh Mijx|io 2>/ 2>/ 3=2355* >*<*1 >*<*1

@iheoi} @iheoi} mij Qb|cbl Qb|cbloe} oe} Hevejhce Hevejhcejx jxe} e} Oc`cxbhb Oc`cxbhb}}

2* Bxboobn/ Bxboobn/ K*/ bjh K* \ih|àkuew \ih|àkuew .<661#/ ‟Cjhc|emx ‟Cjhc|emx Vbxejx Vbxejx Mcxbxcij}/‐ Mcxbxcij}/‐ ]mcejxièx|cm} 1;.=# 8=;815* <* Mbè|ij/ Mbè|ij/ B* M*/ X|cqehc/ |cqehc/ V* D* .23>1#/ .23>1#/ ‟Emijiè ‟Emijièx|cm x|cm ìheo} lb}eh lb}eh ij miujx hbxb7 Mi`vb| Mi`vb|c}i c}ij} j} bjh bvvocm bvvocmbxc bxcij} ij} ia }iè }iè e}xc`b e}xc`bxi| xi|}} bjh xe}x}/ xe}x}/‐‐ Giu|jbo Giu|jbo ia Bvvoceh Bvvoceh Emijièx|cm} 2.2#/ <35=* =* Mnbs Mnbs/ D* S*/ ! Vi{eoo Vi{eoo// G* O* .<662#/ ‟]e`cvb|bèx|cm ‟]e`cvb|bèx|cm mej}i|eh mej}i|eh |ek|e}}ci |ek|e}}cij j ìheo}/‐ ìheo}/‐ Xne Giu|jbo ia Emiji`cm Ve|}vemxcqe} 25.8#/ 25.8#/ <38<* 8* Hn|sè}/ V* V* G* .23>1#/ ‟Oc`cxeh hevejhejx qb|cbloe}/‐ cj W* K|cocmne} ! @* H* Cjx|coc kbxi| .eh}*#/ Nbjhliid ia Emijièx|cm} / qiouè =/ mnbvxe| <;/ 251;21=2 Eo}eqce|* 5* Ke|‡j/ @* .2331#/ ‟Vb|bèx|cm ‟Vb|bèx|cm bjh }e`cvb|bèx|cm e}xc`bxcij ia ia xne lcjb|s |e}vij}e ìheo ia obliu| `b|dex vb|xcmcvbxcij/‐ Giu|jbo ia Bvvoceh Emijièx|cm} 22.=#/ 22.=#/ =<2 ==3* 1* K|eeje/ K|eeje/ [* .<661#/ .<661#/ ‟Mej}i|eh ‟Mej}i|eh hbxb bjh x|ujmbxeh x|ujmbxeh hc}x|cluxcij} hc}x|cluxcij}/‐ /‐ cj X* M* @coo} ! De||s Vbxxe|}ij .eh}*#/ Vbok|bqe Nbjhliid ia Emijièx|cm} / Qiouè 2/ Mnbvxe| <6/ 135;=1/ Vbok|bqe/ Oijhij*

26

;* Nemd`bj Nemd`bj// G* G* .23;3#/ .23;3#/ ‟]b`voe }eoemxcij }eoemxcij lcb} b} b }vemc‡mbxcij }vemc‡mbxcij e||i|/‐ Emijièx|cmb 8;.2#/ 8;.2#/ 25=212* >* Ni|i Ni|i{cx {cxw/ w/ G* O*/ ! ]bqcj ]bqcj// J* .<662 .<662#/ #/ ‟Lc ‟Lcjb| jb|s s |e}vij} |e}vij}ee ìheo}7 ìheo}7 Oik Oikcx} cx}// v|ilcx v|ilcx}} bjh }e`cvb|bèx|cm}/‐ Xne Giu|jbo ia Emiji`cm Ve|}vemxcqe} / 25.8#/ 25.8#/ 8=51* 3* Dceae|/ Dceae|/ J* @* .23>>#/ .23>>#/ ‟Emiji`cm ‟Emiji`cm hu|bxcij hu|bxcij hbxb bjh nbwb|h nbwb|h aujmxcij}/‐ aujmxcij}/‐ Giu|jbo ia Emiji`cm Ocxe|bxu|e <1.<#/ <1.<#/ 1811;3* 26* Objmb}xe|/ Objmb}xe|/ X* .23;3#/ .23;3#/ ‟Emijièx ‟Emijièx|cm |cm èxnih} èxnih} ai| xne hu|bxcij hu|bxcij ia uje`vois uje`voisèj èjx/‐ x/‐ Emijièx|cmb 8;.8# 8;.8# / 3=3351* 22* @mAbhhe @mAbhhej/ j/ H* .23>8#/ .23>8#/ ‟Emijièx ‟Emijièx|cm |cm bjbos}c} ia rubocxbxcq rubocxbxcqee |e}vij}e |e}vij}e ìheo}/‐ ìheo}/‐ cj W* K|cocmne} ! @* H* Cjx|cockbxi| .eh}*#/ Nbjhliid ia Emijièx|cm} / Qiouè 5#/ ‟Ij xne Hexe|`cjbxcij Hexe|`cjbxcij ia Immuvbxci Immuvbxcijbo jbo Bxxbcj èjx bjh @ilcocxs/‐ Giu|jbo ia Nu`bj \e}iu|me} <6/ <6/ 23;<2=* 28* Xilcj/ G* .235>#/ ‟E}xc`bxcij ia |eobxcij}ncv} ai| oc`cxeh hevejhejx qb|cbloe}/‐ qb|cbloe}/‐ Emiji<1.2#/ <8=1* èx|cmb <1.2#/ 25* 25* Qeoob/ eoob/ A* .233> .233>#/ #/ ‟E}xc`b ‟E}xc`bxcj xcjk k ìheo} ìheo} {cxn }b`voe }b`voe }eoemx }eoemxcij cij lcb}7 lcb}7 B }u|qe }u|qes s/‐ Xne Giu|jbo ia Nu`bj \e}iu|me} ==.2#/ ==.2#/ 2<;213* >*<*; >*<*;

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2* B|eoobji/ @* .23>;#/ ‟Mi`vuxcjk \ilu}x \ilu}x ]xbjhb|h E||i|} ai| [cxncjK|iuv [cxncjK|iuv E}xc`b xi|}/‐ I~ai|h Luooexcj ia Emiji`cm} bjh ]xbxc}xcm} 83/ 8=28=8* <* B|eoobji/ B|eoobji/ @* .2336#/ .2336#/ ‟Xe}xcjk ‟Xe}xcjk ai| Buximi||eobxeh Buximi||eobxeh cj Hsjb`cm Hsjb`cm \bjhi` Eëmx} @ih eo}/‐ \eqce{ ia Emiji`cm ]xuhce} 5;/ 5;/ 2<;2=8* =* B|eoobji/ @* s ]* \* Lijh .2332#/ ‟]iè Xe}x} Xe}x} ia ]vemc‡mbxcij ai| Vbjeo Vbjeo Hbxb7 @ijxe Mb|oi Eqchejme bjh bj Bvvocmbxcij xi E`voisèjx Erubxcij/‐ \eqce{ ia Emiji`cm ]xuhce} 5>/ 5>/ <;;<3;* 8* Lboxbkc/ Lboxbkc/ L* s M* Dbi .<666#/ .<666#/ ‟Ji ‟Jij}xbx j}xbxcijb| cijb|s s Vbjeo/ Vbjeo/ Micjxek|bx Micjxek|bxcij cij cj Vbjeo} Vbjeo} bjh Hs jb`cm Vbjeo}7 B ]u|qes/‐ ]u|qes/‐ `bju}m|cxi* 5* Guh}ij/ Guh}ij/ \* B* s B* O* I{ej .2333#/ .2333#/ ‟E}xc`bxcjk ‟E}xc`bxcjk hsjb`cm hsjb`cm vbjeo vbjeo hbxb ìheo}7 b kuche ai| `bm|iemiji`c}x}/‐ Emiji`cm} Oexxe|} 15/ 15/ 325* 1* Vncoocv Vncoocv}/ }/ V* M* L* s N* \* @ii @iij j .2333 .2333#/ #/ ‟J ‟Jij} ij}xbx xbxcij cijb|s b|s Vbjeo Vbjeo hbxb hbxb Bjbos} Bjbos}c}7 c}7 Bj Iqe|qce{ ia ]iè \emejx Heqeoivèjx}/‐ @bju}m|cvx ia xne Mi{oe} Aiujhbxcij bx Sboe Ujcqe|}cxs* 22

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Xihi bmxi he vobkci ej eo he}b||iooi heo mu|}i .v|âmxcmb} i obli|bxi|ci} mboc‡mbhi}/ x|blbgi he }e}cýj/ e~âèje} vb|mcbo s ‡jbo# }e|â mb}xckbhi he `bje|b }eqe|b s he bmue|hi bo |ekobèjxi he ob Ujcqe|}ch Ujcqe|}chbh* bh* Ujb kucb |eobmcijbhb |eobmcijbhb mij ob} |ekob} he eobli|bmcý eobli|bmcýj j he x|blbgi} s ix|i} b}ujxi} |eobmcijbhi} vuehe }e| hc}x|cluchb bo mi`cejwi heo mu|}i* Oc`b/ Bki}xi <62<

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PUCP Econometría 2 (ECO330) 0722(2012-2)

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