47
..
1#1#6 , 6 , ==6 6 L1L1.1.1/2/26 6 , =, =660 0 F 1F 1.?.?6.6.
4?4?
..
AnAn&er /A0 i $o&er /A0 i $orrerre$t. Be$t. Beta 3eata 3eaurure t'e vole t'e volatiatilitlit% of t'e retu% of t'e return of a rn of a e$e$uriurit% relt% relatiative to t'e retve to t'e returnurn on t'e 3ar4 on t'e 3ar4etet
ortfolio. In ea$' $ae< t'e to$4 ri$e in$reae or *e$reae &a a -reater er$enta-e t'an t'e 3ar4et $'an-e. T'u<
ortfolio. In ea$' $ae< t'e to$4 ri$e in$reae or *e$reae &a a -reater er$enta-e t'an t'e 3ar4et $'an-e. T'u<
t'e (eta /to$4 $'an-e over 3ar4et $'an-e0 i -reater t'an 1.#.
t'e (eta /to$4 $'an-e over 3ar4et $'an-e0 i -reater t'an 1.#.
An&er /B0 i in$orre$t (e$aue t'e (eta i -reater t'an one &'en t'e to$4 ri$e $'an-e at a -reater rate t'an t'e
An&er /B0 i in$orre$t (e$aue t'e (eta i -reater t'an one &'en t'e to$4 ri$e $'an-e at a -reater rate t'an t'e
3ar4et $'an-e. An&er /C0 i in$orre$t (e$aue t'e to$4 $'an-e i not t'e a3e a t'e 3ar4et $'an-e. An&er /D0 i
3ar4et $'an-e. An&er /C0 i in$orre$t (e$aue t'e to$4 $'an-e i not t'e a3e a t'e 3ar4et $'an-e. An&er /D0 i
in$orre$t (e$aue t'ere i a $onitent attern of t'e to$4 $'an-e (ein- -reater t'an t'e 3ar4et $'an-e.
in$orre$t (e$aue t'ere i a $onitent attern of t'e to$4 $'an-e (ein- -reater t'an t'e 3ar4et $'an-e.
4>4>
..
An&An&er /A0 i $er /A0 i $orre$orre$t. it. in- t'e CAn- t'e CAPM relPM relationation'i'i< t'e re;u< t'e re;uire* ratire* rate of rete of return on urn on Ar&i$ Ar&i$ Co3aCo3an% n% to$4 ito$4 i i3 i3l%l%
#.#= L #.2/#.#?0< or 1#."6.
#.#= L #.2/#.#?0< or 1#."6.
An&er /B0 i in$orre$t (e$aue 11.#6 fail to a*ut t'e ri4 re3iu3 for (eta. An&er /C0 i in$orre$t (e$aue 1).#6
An&er /B0 i in$orre$t (e$aue 11.#6 fail to a*ut t'e ri4 re3iu3 for (eta. An&er /C0 i in$orre$t (e$aue 1).#6
i-nore (eta alto-et'er. An&e
i-nore (eta alto-et'er. An&er /D0 r /D0 i in$orre$t (e$aue 1).26 a**< not i in$orre$t (e$aue 1).26 a**< not 3ultilie< t'e (eta an* 3ultilie< t'e (eta an* t'e ri4 re3iu3.t'e ri4 re3iu3.
5050
..
An&An&er /D0 i $er /D0 i $orre$orre$t. T'e $t. T'e $aitaaital ael aet ri$t ri$in- 3o*ein- 3o*el a** t'l a** t'e ri4e ri4,free ra,free rate to t'te to t'e ro*u$e ro*u$t of t'e (et of t'e (eta $oeta $oeffi$ffi$ient /aient /a
3eaure of ri40 an* t'e *ifferen$
3eaure of ri40 an* t'e *ifferen$e (et&een t'e 3ar4et return an* t'e ri4,free rate. e (et&een t'e 3ar4et return an* t'e ri4,free rate. T'u< R F "6 L 1.) /+60 F 1#.26.T'u< R F "6 L 1.) /+60 F 1#.26.
An&er /A0 i in$orre$t (e$aue +.2#6 i t'e e@$e over t'e ri4,free rate< not t'e total re;uire* rate. An&er /B0 i
An&er /A0 i in$orre$t (e$aue +.2#6 i t'e e@$e over t'e ri4,free rate< not t'e total re;uire* rate. An&er /B0 i
in$orre$t (e$aue "6 i t'e ri4,free rate. An&er /C0 i in$orre$t (e$aue 1#6 i-nore t'e i3a$t of t'e (eta
in$orre$t (e$aue "6 i t'e ri4,free rate. An&er /C0 i in$orre$t (e$aue 1#6 i-nore t'e i3a$t of t'e (eta
$oeffi$ient.
$oeffi$ient.
51
51
..
T'e $T'e $ot ot of rof retaetaineine* ea* earnirnin- n- a $a $al$al$ulaulate* te* frofro3 t'3 t'e CAe CAPM iPM i
44
F 4F 4
RRL /4 L /4
MM, 4 , 4
RR0(0(
F =6 L /"601.)
F =6 L /"601.)
F 1).)6.
F 1).)6.
5252
..
An&An&er /C0 ier /C0 i $o $orre$trre$t. T'e . T'e $ait$aital aal aet riet ri$in- $in- 3o*el 3o*el $al$$al$ulateulate t'e t'e e@ee@e$te* %$te* %iel* iel* a foa follo&llo&55
R F +.#6 L 1.=/:60
R F +.#6 L 1.=/:60
R F 1?.=6
R F 1?.=6
An&er /A0 i in$orre$t (e$aue :.#6 i t'e 3ar4et ri4 re3iu3 an* fail to a** t'e ri4,free rate. An&er /B0 i
An&er /A0 i in$orre$t (e$aue :.#6 i t'e 3ar4et ri4 re3iu3 an* fail to a** t'e ri4,free rate. An&er /B0 i
in$orre$t (e$aue 1=6 i t'e reult of 3ulti
in$orre$t (e$aue 1=6 i t'e reult of 3ultil%in- t'e (eta ti3e t'e ri4,free rate intea* of t'e ri4 re3il%in- t'e (eta ti3e t'e ri4,free rate intea* of t'e ri4 re3iu3. u3. An&erAn&er
/D0 i in$orre$t (e$aue 1:.=6 i t'e reult of 3ultil%in- t'e (eta ti3e (ot' rate< rat'er t'an ut t'e ri4 re3iu3.
/D0 i in$orre$t (e$aue 1:.=6 i t'e reult of 3ultil%in- t'e (eta ti3e (ot' rate< rat'er t'an ut t'e ri4 re3iu3.
..
AnAn&er /D0 i $o&er /D0 i $orrerre$t. T'$t. T'e CAPM a*e CAPM a** t'e ri* t'e ri4,f4,free ratree rate to t'e ro*ue to t'e ro*u$t of t'e (et$t of t'e (eta $oefa $oeffi$fi$ienient an* t'e *ift an* t'e *ifferferen$en$ee
(et&een t'e 3ar4et return an* t'e ri4,free rate. T'e 3ar4et,ri4 re3iu3 i t'e a3ount a(ove t'e ri4,free rate for
(et&een t'e 3ar4et return an* t'e ri4,free rate. T'e 3ar4et,ri4 re3iu3 i t'e a3ount a(ove t'e ri4,free rate for
&'i$' invetor 3ut (e $o3enate* to in*u$e t'e3 to invet in t'e $o3an%. T'e (eta $oeffi$ient of an in*ivi*ual
&'i$' invetor 3ut (e $o3enate* to in*u$e t'e3 to invet in t'e $o3an%. T'e (eta $oeffi$ient of an in*ivi*ual
to$4 i t'e $orrelation (et&een volatilit% /ri$e variation0 of t'e to$4 3ar4et an* t'e volatilit% of t'e ri$e of t'e
to$4 i t'e $orrelation (et&een volatilit% /ri$e variation0 of t'e to$4 3ar4et an* t'e volatilit% of t'e ri$e of t'e
in*ivi*ual to$4. T'u< t'e re;uire* rate i 1"6 "6 L 1.)= /1+6 , "60.
in*ivi*ual to$4. T'u< t'e re;uire* rate i 1"6 "6 L 1.)= /1+6 , "60.
An&er /A0 i in$orre$t (e$aue "6 i t'e ri4,free rate (ae* on inure* -overn3ent e$uritie an* (ear no
An&er /A0 i in$orre$t (e$aue "6 i t'e ri4,free rate (ae* on inure* -overn3ent e$uritie an* (ear no relation torelation to
t'e return of t'e
t'e return of t'e to$4 3ar4et. Anto$4 3ar4et. An&er /B0 i in$orre$t (e$aue ?.=6 &er /B0 i in$orre$t (e$aue ?.=6 i $al$ulate* (% 3ultil%in- t'e (eta ti3e t'e i $al$ulate* (% 3ultil%in- t'e (eta ti3e t'e ri4,ri4,
free rateH t'e (eta 'oul* (e 3ultilie* ti3e t'e ri4 re3iu3 t'at i re;uire* (% invetor. An&er /C0 i in$orre$t
free rateH t'e (eta 'oul* (e 3ultilie* ti3e t'e ri4 re3iu3 t'at i re;uire* (% invetor. An&er /C0 i in$orre$t
(e$aue 1?.=6 i $al$ulate* (% 3ultil%in- t'e 3ar4et rate ti3e (eta. T'i i-nore t'e ri4 re3iu3. T'e (eta 'oul*
(e$aue 1?.=6 i $al$ulate* (% 3ultil%in- t'e 3ar4et rate ti3e (eta. T'i i-nore t'e ri4 re3iu3. T'e (eta 'oul*
(e 3ultilie* ti3e t'e ri4 re3iu3
(e 3ultilie* ti3e t'e ri4 re3iu3 t'at i *eire* (% t'at i *eire* (% invetor.invetor.
5454
..
E/E/R0 R0 F "F "6 L 6 L 1.1.)/)/1) 1) , ", "0 F 0 F 11.).)6.6.
5555
..
An&An&er /B0 ier /B0 i $orr $orre$t. e$t. T'e reT'e re;uire* r;uire* rate of ate of return oreturn on e;uin e;uit% $at% $aital ital in t'e $in t'e $aitaaital al aet ri$et ri$in- 3oin- 3o*el i *el i t'e rit'e ri4,fre4,freee
rate /*eter3ine* (% -overn3ent e$uritie0 lu t'e ro*u$t of t'e 3ar4et ri4 re3iu3 ti3e t'e (eta $oeffi$ient /(eta
rate /*eter3ine* (% -overn3ent e$uritie0 lu t'e ro*u$t of t'e 3ar4et ri4 re3iu3 ti3e t'e (eta $oeffi$ient /(eta
3eaure t'e fir3 ri
3eaure t'e fir3 ri40. 40. T'e 3ar4et ri4 re3iu3 i t'e a3ount a(ovT'e 3ar4et ri4 re3iu3 i t'e a3ount a(ove t'e ri4,free rate t'at &ill in*u$e invet3ent ine t'e ri4,free rate t'at &ill in*u$e invet3ent in
t'e 3ar4et.
t'e 3ar4et. T'e (eta $oeffi$ient of an in*ivi*uT'e (eta $oeffi$ient of an in*ivi*ual to$4 i t'e $orrelation (et&een t'e volatial to$4 i t'e $orrelation (et&een t'e volatilit% /ri$e variation0 of t'elit% /ri$e variation0 of t'e
to$4 3ar4et an* t'at of t'e ri$e of t'e in*ivi*ual to$
to$4 3ar4et an* t'at of t'e ri$e of t'e in*ivi*ual to$4. 4. or e@a3le< if an in*ivi*ual to$4 ri$e in$reaor e@a3le< if an in*ivi*ual to$4 ri$e in$reae (% 1=6 an*e (% 1=6 an*
t'e 3ar4et onl% 1#6< (eta i 1.=.
t'e 3ar4et onl% 1#6< (eta i 1.=. A$$or*in-l%A$$or*in-l%< t'e re;uire* rate of < t'e re;uire* rate of return i 1+.6 26 L :#6 /1=6 , 260.return i 1+.6 26 L :#6 /1=6 , 260.
An&er /A0< /C0< /D0 are in$orre$t (e$aue t'e re;uire* rate
An&er /A0< /C0< /D0 are in$orre$t (e$aue t'e re;uire* rate of return i 1+.6.of return i 1+.6.
55
..
AnAn&er /B0 i $o&er /B0 i $orrerre$t. T'$t. T'e CAPM *ete CAPM *eter3er3ineine t'e $ot of $a t'e $ot of $aitital (% a**ial (% a**in- t'e rin- t'e ri4,f4,free ratree rate to t'e ro*ue to t'e ro*u$t of t'e$t of t'e
3ar4et ri4 re3iu3 an* t'e (eta $oeffi$ient /t'e (eta $oeffi$ient i a 3eaure of t'e fir3 ri40. T'e 3ar4et ri4
3ar4et ri4 re3iu3 an* t'e (eta $oeffi$ient /t'e (eta $oeffi$ient i a 3eaure of t'e fir3 ri40. T'e 3ar4et ri4
re3iu3 i t'e a3ount in e@$e of t'e ri4,free rate t'at invetor 3ut (e ai* to in*u$e t'e3 to enter t'e 3ar4et.
re3iu3 i t'e a3ount in e@$e of t'e ri4,free rate t'at invetor 3ut (e ai* to in*u$e t'e3 to enter t'e 3ar4et.
T'e ?6 flotation $ot *o not enter into t'e $al$ulation (e$aue t'e $o3an% *oe not lan to iue $o33on to$4.
T'e ?6 flotation $ot *o not enter into t'e $al$ulation (e$aue t'e $o3an% *oe not lan to iue $o33on to$4.
en$e< t'e $ot of retaine* earnin- for Colt i 1).::6 2.=6 L 1.1=
en$e< t'e $ot of retaine* earnin- for Colt i 1).::6 2.=6 L 1.1= /1).+6 , 2.=60./1).+6 , 2.=60.
An&er /A0 i in$orre$t (e$aue 1.)16 reult fro3 uin- ?6 intea* of 2.=6. An&er /C0 i in$orre$t (e$aue t'e
An&er /A0 i in$orre$t (e$aue 1.)16 reult fro3 uin- ?6 intea* of 2.=6. An&er /C0 i in$orre$t (e$aue t'e
eti3ate* 3ar4et return i 1).+6. An&er /D0 i in$orre$t (e$aue
eti3ate* 3ar4et return i 1).+6. An&er /D0 i in$orre$t (e$aue 1+.)"6 e;ual 1.1= ti3e 1).+6.1+.)"6 e;ual 1.1= ti3e 1).+6.
5757
..
An&An&er /A0 i $oer /A0 i $orre$trre$t. T'e $a. T'e $aital aital aet ri$et ri$in- 3o*in- 3o*el /CAPel /CAPM0 $al$M0 $al$ulateulate an in*i an in*ivi*uavi*ual to$l to$4 ret4 return a fourn a follo&llo&55
R F R L B/RM , R0< or
R F R L B/RM , R0< or
1)6 F "6 L
1)6 F "6 L B/1)6 , "60B/1)6 , "60
Solvin- for (eta reult in a (eta of 1.#.
Solvin- for (eta reult in a (eta of 1.#.
An&er /B0 i in$orre$t (e$aue it *oe not fulfill t'e re;uire3ent of t'e CAPM. An&er /C0 i in$orre$t (e$aue it *oe
An&er /B0 i in$orre$t (e$aue it *oe not fulfill t'e re;uire3ent of t'e CAPM. An&er /C0 i in$orre$t (e$aue it *oe
not fulfill t'e re;uire3ent of
not fulfill t'e re;uire3ent of t'e CAPM. An&er /D0 i in$orre$t (e$aue it t'e CAPM. An&er /D0 i in$orre$t (e$aue it *oe not fulfill t'e *oe not fulfill t'e re;uire3ent of t'e CAPM.re;uire3ent of t'e CAPM.
=2 =2
..
An&An&er /A0 i $er /A0 i $orre$orre$t. T'it. T'i ro(l ro(le3 re;uie3 re;uire t'e ure t'e ue of i3ue of i3ultaneltaneou e;uatou e;uation. Sion. Set u a CAPet u a CAPM for3uM for3ula for ea$la for ea$' to$4' to$455
1=." F R L
1=." F R L 1.) /M , 1.) /M , R0R0
1).+ F
1).+ F R L R L .2 /M .2 /M , R0, R0
Re3ovin- t'e arent'ee an* $o3(inin- ter3< %ou -et
Re3ovin- t'e arent'ee an* $o3(inin- ter3< %ou -et
1=." F 1.
1=." F 1.)M , )M , .)R.)R
1).+
1).+ F F .2M .2M L L .)R.)R
T'en olve for M. A** t'e t&o e;uation a(ove< M F 1+. Su(titute 1+ for M in
T'en olve for M. A** t'e t&o e;uation a(ove< M F 1+. Su(titute 1+ for M in t'e e$on* e;uation5t'e e$on* e;uation5
1).+ F R L
1).+ F R L .2/1+ , R0.2/1+ , R0
1).+ F .) R
1).+ F .) R L 1L 11.)1.)
1.) F .) R< or R F "
1.) F .) R< or R F "
An&er /B0 i in$orre$t (e$aue (ot' rate are &ron-. An&er /C0 i in$orre$t (e$aue t'e ri4,free rate are too lo&.
An&er /B0 i in$orre$t (e$aue (ot' rate are &ron-. An&er /C0 i in$orre$t (e$aue t'e ri4,free rate are too lo&.
An&er /D0 i in$orre$t (e$aue
An&er /D0 i in$orre$t (e$aue t'e ri4,free rate are too t'e ri4,free rate are too lo&.lo&.
5>5>
..
An&An&er /B0 i $orer /B0 i $orre$tre$t. T. To eti3o eti3ate t'e re;ate t'e re;uire* rauire* rate of retute of return on e;uitrn on e;uit%%< t'e $ai< t'e $aital atal aet ri$et ri$in- 3o*ein- 3o*el /CAPMl /CAPM0 a**0 a**
t'e ri4,free rate /*eter3ine* (% -overn3ent e$uritie0 to t'e ro*u$t of t'e (eta $oeffi$ient /a 3eaure of t'e fir3
t'e ri4,free rate /*eter3ine* (% -overn3ent e$uritie0 to t'e ro*u$t of t'e (eta $oeffi$ient /a 3eaure of t'e fir3
CAPM.
CAPM.
R
R F F R R L L U U /RM /RM , , R R 00
T'u< -iven a (eta of 1.)< R i
T'u< -iven a (eta of 1.)< R i 1116 =6 L 1.) /1#6 , =60. At a (eta of 1.=< R 16 =6 L 1.) /1#6 , =60. At a (eta of 1.=< R i 1).=6 =6 L 1.= /1#6 , =60.i 1).=6 =6 L 1.= /1#6 , =60.
An&er /A0 i in$orre$t (e$aue 6 e;ual t'e 3ar4et return ti3e t'e in$reae in t'e (eta. An&er /C0 i in$orre$t
An&er /A0 i in$orre$t (e$aue 6 e;ual t'e 3ar4et return ti3e t'e in$reae in t'e (eta. An&er /C0 i in$orre$t
(e$aue t'e $o3an% re;uire* rate of return i affe$te* (% a $'an-e in t'e $o3an% (eta $oeffi$ient. An&er /D0 i
(e$aue t'e $o3an% re;uire* rate of return i affe$te* (% a $'an-e in t'e $o3an% (eta $oeffi$ient. An&er /D0 i
in$orre$t (e$aue t'e $'an-e reult in an in$reae of t'e $o3an% re;uire* rate of return< not
in$orre$t (e$aue t'e $'an-e reult in an in$reae of t'e $o3an% re;uire* rate of return< not a *e$reae.a *e$reae.
00
..
An&An&er /C0 i $oer /C0 i $orre$trre$t. T. To *etero *eter3ine t'3ine t'e re;uiree re;uire* rate< t* rate< t'e ri4 'e ri4 re3iure3iu3 i 3ul3 i 3ultilitilie* (% t'e (ee* (% t'e (eta. Tta. T'u< an i'u< an in$rean$reaee
of er$enta-e oint in t'e ri4 re3iu3 'oul* (e 3ultilie* (% t'e (eta of 1.)=< to arrive at an in$reae of .?=6.
of er$enta-e oint in t'e ri4 re3iu3 'oul* (e 3ultilie* (% t'e (eta of 1.)=< to arrive at an in$reae of .?=6.
A**in- .?=6 to t'e ori-inal 1=6 reult in a ne&
A**in- .?=6 to t'e ori-inal 1=6 reult in a ne& re;uire* rate of 12.?=6.re;uire* rate of 12.?=6.
An&er /A0 i in$orre$t (e$aue 1=6 i t'e reult of i-norin- t'e $'an-e in t'e ri4 re3iu3. An&er /B0 i in$orre$t
An&er /A0 i in$orre$t (e$aue 1=6 i t'e reult of i-norin- t'e $'an-e in t'e ri4 re3iu3. An&er /B0 i in$orre$t
(e$aue 126 i t'e reult of failin- to 3ultil% t'e $'an-e in ri4 re3iu3 (% t'e (eta. An&er /D0 i in$orre$t (e$aue
(e$aue 126 i t'e reult of failin- to 3ultil% t'e $'an-e in ri4 re3iu3 (% t'e (eta. An&er /D0 i in$orre$t (e$aue
)).=#6 i t'e reult of a**in- t'e ri4,free rate to t'e
)).=#6 i t'e reult of a**in- t'e ri4,free rate to t'e reviou re;uire* rate.reviou re;uire* rate.
11
..
An&An&er /C0 ier /C0 i $o $orre$trre$t. Ini. Initialltiall%%< t'e $< t'e $al$ual$ulatiolation un*en un*er t'e Cr t'e CAPM iAPM i5 5 R F =6 R F =6 L 1.#L 1.#/260 F /260 F 16 16 olloollo&in- t&in- t'e $'a'e $'an-e<n-e<
t'e ne& $al$ulation
t'e ne& $al$ulation i5 i5 R F +6 L ).#/260 F R F +6 L ).#/260 F )#6)#6
An&er /A0 i in$orre$t (e$aue (ot'
An&er /A0 i in$orre$t (e$aue (ot' rate are too rate are too lo&. lo&. An&er /B0 i in$orre$t (e$aue t'e An&er /B0 i in$orre$t (e$aue t'e ne& rate i ne& rate i )#6H t'i an&er)#6H t'i an&er
i-nor
i-nore t'e ri4,free orte t'e ri4,free ortion of t'e ion of t'e ne& re;uire* rate. ne& re;uire* rate. An&An&er /D0 er /D0 i in$orrei in$orre$t (e$au$t (e$aue t'e e t'e $'an-$'an-e in e in (eta 3a4e(eta 3a4e a a
i-nifi$ant $'an-e in t'e re;uire* return.
i-nifi$ant $'an-e in t'e re;uire* return.
22
..
An&An&er /D0 er /D0 i $i $orre$orre$t. Tt. T'e $'e $orre$orre$t ant an&er i&er i ,! ,!)<#1))<#1)< (a< (ae* on e* on a 1+6 a 1+6 $ot $ot of $aof $aitaital.l.
4Proe$t F =6 L /1#6 , =60/1.20 F 1+6
4Proe$t F =6 L /1#6 , =60/1.20 F 1+6
NPV F ,!1##<###
NPV F ,!1##<### L !1)<###/PVIAL !1)<###/PVIA1+6< 1#0 L 1+6< 1#0 L !)#<### /PVI1+6< 1#0!)#<### /PVI1+6< 1#0
F
F ,!1##<### ,!1##<### L L !1)<###/=.)1"10 !1)<###/=.)1"10 L L !)#<###/#.)":?0!)#<###/#.)":?0
F
F ,!)<#1).2# ,!)<#1).2# F F aro@. aro@. ,!)<#1) ,!)<#1) /roun*e*0/roun*e*0
An&er /A0 i in$orre$t (e$aue t'e% are not (ae* on a 1+6 $ot of $aital. An&er /B0 i in$orre$t (e$aue t'e% are
An&er /A0 i in$orre$t (e$aue t'e% are not (ae* on a 1+6 $ot of $aital. An&er /B0 i in$orre$t (e$aue t'e% are
not (ae* on a 1+6 $ot of $aital. An&er /C0 i in$orre$t (e$aue it reult fro3 a failure to $oni*er alva-e value.
not (ae* on a 1+6 $ot of $aital. An&er /C0 i in$orre$t (e$aue it reult fro3 a failure to $oni*er alva-e value.
33
..
AnAn&er /A&er /A0 i $orr0 i $orre$te$t. R i . R i t'e ret'e re;ui;uire* retre* return on e;uurn on e;uit% $ait% $aitital< R i t'al< R i t'e ri4e ri4,fr,free ratee rate of retue of return< ( i t'e (etrn< ( i t'e (etaa
$oeffi$ien
$oeffi$ient /a 3eaure of t'e t /a 3eaure of t'e fir3 ri40< an* RM i t'e 3ar4et return. T'e (ai$ e;uation for t'e CAPM ifir3 ri40< an* RM i t'e 3ar4et return. T'e (ai$ e;uation for t'e CAPM i
R
R F F R R L L U U /RM /RM , , R R 00
T'u< t'e re;uire* rate of return for A< B< an* C are 16 "6 L /1.+ @ =60< 1#6 "6 L /.2 @ =60< an* 1.=6 "6 L
T'u< t'e re;uire* rate of return for A< B< an* C are 16 "6 L /1.+ @ =60< 1#6 "6 L /.2 @ =60< an* 1.=6 "6 L
/1.= @ =60< ree$tivel%. A 'oul* (e ree$te* /R i -reater t'an t'e 1)6 e@e$te* return0. B 'oul* (e a$$ete* /R i
/1.= @ =60< ree$tivel%. A 'oul* (e ree$te* /R i -reater t'an t'e 1)6 e@e$te* return0. B 'oul* (e a$$ete* /R i
le t'an t'e 116 e@e$t
le t'an t'e 116 e@e$te* return0. C 'oul* (e e* return0. C 'oul* (e ree$te* /R i -reater t'an t'e 16 e@e$te* return0.ree$te* /R i -reater t'an t'e 16 e@e$te* return0.
An&er /B0 i in$orre$t (e$aue t'e re;uire* rate of return for A an* C e@$ee* t'eir e@e$te* return. An&er /C0 i
An&er /B0 i in$orre$t (e$aue t'e re;uire* rate of return for A an* C e@$ee* t'eir e@e$te* return. An&er /C0 i
in$orre$t (e$aue R for C
in$orre$t (e$aue R for C e@$ee* it e@e$te* return. An&er /D0 i in$orre$t (e$aue t'e re;uire* rate e@$ee* it e@e$te* return. An&er /D0 i in$orre$t (e$aue t'e re;uire* rate of return for Aof return for A
an* C e@$ee* t'eir e@e$te* return.
an* C e@$ee* t'eir e@e$te* return.
44
..
AnAn&er /A0 i $or&er /A0 i $orre$re$t. T'e $at. T'e $aitaital ael aet ri$it ri$in- 3o*en- 3o*el $al$l $al$ulaulate t'te t'e re;uie re;uire* retre* return on a urn on a toto$4 a t'e u3 of t'e$4 a t'e u3 of t'e
ri4,free rate an* t'e
ri4,free rate an* t'e ro*u$t of t'e (eta $oeffi$ient an* t'e ro*u$t of t'e (eta $oeffi$ient an* t'e 3ar4et ri4 re3iu3. A$$or*in3ar4et ri4 re3iu3. A$$or*in- to t'e - to t'e CAPM< t'e e@e$te*CAPM< t'e e@e$te*
return /R0 of ea$' of t'e four to$4 i $al$ulate* a 'o&n (elo&. T'u< M an* N are un*ervalue* (e$aue t'eir
return /R0 of ea$' of t'e four to$4 i $al$ulate* a 'o&n (elo&. T'u< M an* N are un*ervalue* (e$aue t'eir
e@e$te* return e@$ee* t'eir re;uire* return< an* O an* J are overvalue* (e$aue t'eir e@e$te* return are le
e@e$te* return e@$ee* t'eir re;uire* return< an* O an* J are overvalue* (e$aue t'eir e@e$te* return are le
t'an t'eir re;uire* return. In e;uili(riu3< t'e e@e$te* an* re;uire* return are e;ual. A$$or*in-l%< invetor &ill
t'an t'eir re;uire* return. In e;uili(riu3< t'e e@e$te* an* re;uire* return are e;ual. A$$or*in-l%< invetor &ill
ur$'ae 'are of M an* N< *rivin- u t'eir ri$e an* lo&erin- t'eir e@e$te* return until e;uili(riu3 i rea$'e*.
ur$'ae 'are of M an* N< *rivin- u t'eir ri$e an* lo&erin- t'eir e@e$te* return until e;uili(riu3 i rea$'e*.
Invetor &ill ell 'are of O an* J< re*u$in- t'eir ri$e an* in$reain- t'eir e@e$te* return until e;uili(riu3 i
Invetor &ill ell 'are of O an* J< re*u$in- t'eir ri$e an* in$reain- t'eir e@e$te* return until e;uili(riu3 i
rea$'e*.
rea$'e*.
RM
RM F .1) F .1) L /.12 L /.12 , .1)0.: , .1)0.: F .1?+ F F .1?+ F 1?.+61?.+6
RN
RN F .1) L /.12 , .F .1) L /.12 , .1)01.) F .1:) F 1:.)61)01.) F .1:) F 1:.)6
RO
RO F .1) L /.12 , .1)01.F .1) L /.12 , .1)01.= F .)1# F )1.#6= F .)1# F )1.#6
RJ
RJ F .1) L /.12 , .1)01.F .1) L /.12 , .1)01.? F .))) F )).)6? F .))) F )).)6
An&er /B0 i in$orre$t (e$aue N i un*ervalue*. An&er /C0 i in$orre$t (e$aue M an* N are un*ervalue*. An&er
An&er /B0 i in$orre$t (e$aue N i un*ervalue*. An&er /C0 i in$orre$t (e$aue M an* N are un*ervalue*. An&er
/D0 i in$orre$t (e$aue O an* J are
88
44
F 1#6 L /+601.= F 1"6. F 1#6 L /+601.= F 1"6.
P
P
##F F
0.10
0.10
-
-
0.16
0.16
)
)
$3.00(1.10
$3.00(1.10
F !==.##.
F !==.##.
"" ""88
Cot of ne& $o33on e;uit%5Cot of ne& $o33on e;uit%5
44
eeF F
5)
5)
$55.00(0.9
$55.00(0.9
$3.30
$3.30
L
L #.1# #.1# F 1".)6F 1".)6..
77
..
An&An&er /A0 i $er /A0 i $orre$orre$t. At. Ar(itrr(itra-e ri$a-e ri$in- t'eoin- t'eor% /APTr% /APT0 i (a0 i (ae* on t'e ae* on t'e au3u3tion t'tion t'at an aat an aet reet return i (turn i (ae* onae* on
3ultile %te3ati$ ri4 fa$tor. In $ontrat< t'e CAPM i a 3o*el t'at ue ut
3ultile %te3ati$ ri4 fa$tor. In $ontrat< t'e CAPM i a 3o*el t'at ue ut one %te3ati$ ri4 fa$tor to e@lain t'eone %te3ati$ ri4 fa$tor to e@lain t'e
In document
P04 - Risks (Sol)
(Page 49-52)