CHAPTER 1: INTRODUCTION
MULTI MULTIPLE PLE CHOICE TEST QUESTIONS 1. The marke markett val value ue of the deri deriva vativ tives es o!tr o!tra ats ts "orl "orld" d"id idee tota totals ls a#ou a#outt a. $% trillio! #. 1&.$ trillio! tri llio! . ' t ri l l i o ! d. (.) trillio! e. !o!e of the a#ove (. Cash markets are also k!o"! as a. s*eulative markets #. s*ot markets . derivative markets d. dollar markets e. !o!e of the a#ove +. , all o* o*tio! -ives the holder a. the ri-ht to #u somethi! #. the ri-ht ri-h t to sell somethi!. the o#li-atio! to to #u somethi!d. t he he o#li-atio! to sell somethi!e. !o!e of the a#ove /. 0hi 0hih h of the the foll follo" o"i! i!- i!st i!stru rume me!t !tss are are o!t o!tra rat tss #ut #ut are are !ot !ot seu seuri riti ties es a. stoks #. o*tio!s . s"a*s d. a a! d # e. # a!d &. The The *os *osit itiv ivee rela relati tio! o!sh shi* i* #et" #et"ee ee! ! ris risk k a!d a!d retu retur! r! is all alled ed a. e*eted retur! #. market effiie! . the la" of o!e *rie d. ar#itra-e e. !o!e of the a#ove ). , tra! tra!sa satio tio! ! i! "hih "hih a! a! i!ves i!vesto torr hold holdss a *osi *ositio tio! ! i! the s*o s*ott marke markett a!d sel sells ls a fut futur ures es o! o!tra trat t or "rit "rites es a all is a. a -am#le #. a s*eulative *ositio! . a hed-e d. a risk2free tra!satio! e. !o!e of the a#ove 3. 0hi 0hih h of of the the foll follo" o"i! i!- are are adva adva!t !taa-es es of deri deriva vati tive ves4 s4 a. lo"e lo"err tra! tra!sa sat tio io! ! ost ostss tha! tha! seu seuri riti ties es a!d a!d om ommo modi diti ties es #. reveal i!formatio! a#out e*eted *ries a!d volatilit volatilit . hel* o!trol risk d. make make s*ot *ot *r *rie ies sta sta los loser to to the their true true valu values es e. all of the a#ove $. , for for"ard "ard o!t o!tra rat t has has "hi "hih h of of the the follo ollo"i "i!!- ha hara rat ter eris isti tis s44 a. has a #uer a!d a seller #. trades o! a! or-a!i5ed eha!-e . has a dail settleme!t d. -ives the the riri-ht ht #ut !o !ot th the o# o#li-a i-atio! tio! to #u e. all of the a#ove '. O*tio!s o o! ! futures ar are al also k!o"! as as a. s*ot o*tio!s #. ommodit o*tio!s . eha!-e o*tio!s d. seurit o*tio!s e. !o!e of the a#ove 1%. 1%.
, mar marke kett i! "hi "hih h the the *ri *rie e e6ua e6uals ls the the tru truee eo eo!o !omi mi val value ue 1-3
Co*ri-ht 7 (%%1 # Harourt8 I!
11.
1(. 1(.
1+. 1+.
1/. 1/.
1&.
a. is risk2free #. has hi-h hi- h e*eted retur!s . is or-a!i5ed d. is effiie!t e. all of the a#ove 0hi 0hih h of the the fol follo lo"i "i!!- tra trade de o! o! or-a or-a!i !i5e 5ed d eh eha! a!-e -es4 s4 a. a*s #. for"ards . o*tio!s d. s"a*s e. !o!e of the a#ove 0hih 0hih of of the the follo follo"i "i!!- mark market etss is9ar is9aree said said to *ro *rovi vide de *ri *rie e dis diso ove ver r44 a. futures #. for"ards . o*tio!s d. a a! d # e. # a!d I!ve I!vest stor orss "ho "ho do do !ot !ot o! o!sid sider er risk risk i! their their de deis isio io!s !s are are said said to #e a. s*eulati! #. short selli!selli! . risk !eutral d. traders e. !o!e of the a#ove 0hih 0hih of of the the fol follo lo"i "i!!- stat statem eme! e!ts ts is !ot !ot true true a#ou a#outt the the la" la" of o!e o!e *rie *rie a. i !v !vestors *r *refer mo more "e "ealth to to le less #. i!vestme!ts that t hat offer the same retur! i! all states must *a the risk2free rate . if t"o t"o i!ves i!vestme tme!t !t o**o o**ort rtu!i u!itie tiess off offer e6ui e6uiva vale le!t !t out outom omes es88 the the must must have have the the sam samee *ri *riee d. i!vestors are risk !eutral e. !o!e of the a#ove 0hih 0hih of the foll follo" o"i!i!- o!tr o!trat atss o#li-a o#li-ates tes a #ue #uerr to #u #u or sell sell som someth ethi!i!- at a later later date4 date4 a. all #. futures . a* d. *ut e. s"a*tio! CHAPTER 2: THE STRUCTURE OF OPTIONS MARKETS
1.
(.
+.
/.
O*ti O*tio! o!ss are are tra trade ded d o! "hi "hih h of of the the follo ollo"i "i!!- eh eha! a!-e -es4 s4 a. ,meria! Stok Eha!-e #. Paifi Stok Eha!-e . Chia-o :o :oard O* O*tio!s E E ha!-e d. Philadel*hia Stok Eha!-e e. all of the a#ove , al alll o*tio o*tio! ! *rie *ried d at ;( "ith "ith a sto stok k *ri *riee of ;+% ;+% a!d a! a! eer eeris isee *ri *riee of ;+& ;+& allo" allo"ss the the hold holder er to #u #u the stok at a. ;( #. ;+( . ;++ d. ; +& e. !o!e of the a#ove , *ut *ut o*tio o*tio! ! i! "hi "hih h the the sto stok k *rie *rie is ;)% ;)% a!d a!d the the ee eer rise ise *rie *rie is ;)& ;)& is is sai said d to #e a. i!2the2mo!e #. out2of2the2mo!e . at2the2mo!e d. eerisa#le e. !o!e of the a#ove Or-a Or-a!i5 !i5ed ed o*tio o*tio!s !s marke markets ts are are diff differe! ere!tt from from over over2t 2the he2 2ou ou!t !ter er o*tio o*tio!s !s mark markets ets for for all all of the the follo follo"i "i!!reaso!s ee*t a. eerise terms 1-4
Co*ri-ht 7 (%%1 # Harourt8 I!
11.
1(. 1(.
1+. 1+.
1/. 1/.
1&.
a. is risk2free #. has hi-h hi- h e*eted retur!s . is or-a!i5ed d. is effiie!t e. all of the a#ove 0hi 0hih h of the the fol follo lo"i "i!!- tra trade de o! o! or-a or-a!i !i5e 5ed d eh eha! a!-e -es4 s4 a. a*s #. for"ards . o*tio!s d. s"a*s e. !o!e of the a#ove 0hih 0hih of of the the follo follo"i "i!!- mark market etss is9ar is9aree said said to *ro *rovi vide de *ri *rie e dis diso ove ver r44 a. futures #. for"ards . o*tio!s d. a a! d # e. # a!d I!ve I!vest stor orss "ho "ho do do !ot !ot o! o!sid sider er risk risk i! their their de deis isio io!s !s are are said said to #e a. s*eulati! #. short selli!selli! . risk !eutral d. traders e. !o!e of the a#ove 0hih 0hih of of the the fol follo lo"i "i!!- stat statem eme! e!ts ts is !ot !ot true true a#ou a#outt the the la" la" of o!e o!e *rie *rie a. i !v !vestors *r *refer mo more "e "ealth to to le less #. i!vestme!ts that t hat offer the same retur! i! all states must *a the risk2free rate . if t"o t"o i!ves i!vestme tme!t !t o**o o**ort rtu!i u!itie tiess off offer e6ui e6uiva vale le!t !t out outom omes es88 the the must must have have the the sam samee *ri *riee d. i!vestors are risk !eutral e. !o!e of the a#ove 0hih 0hih of the foll follo" o"i!i!- o!tr o!trat atss o#li-a o#li-ates tes a #ue #uerr to #u #u or sell sell som someth ethi!i!- at a later later date4 date4 a. all #. futures . a* d. *ut e. s"a*tio! CHAPTER 2: THE STRUCTURE OF OPTIONS MARKETS
1.
(.
+.
/.
O*ti O*tio! o!ss are are tra trade ded d o! "hi "hih h of of the the follo ollo"i "i!!- eh eha! a!-e -es4 s4 a. ,meria! Stok Eha!-e #. Paifi Stok Eha!-e . Chia-o :o :oard O* O*tio!s E E ha!-e d. Philadel*hia Stok Eha!-e e. all of the a#ove , al alll o*tio o*tio! ! *rie *ried d at ;( "ith "ith a sto stok k *ri *riee of ;+% ;+% a!d a! a! eer eeris isee *ri *riee of ;+& ;+& allo" allo"ss the the hold holder er to #u #u the stok at a. ;( #. ;+( . ;++ d. ; +& e. !o!e of the a#ove , *ut *ut o*tio o*tio! ! i! "hi "hih h the the sto stok k *rie *rie is ;)% ;)% a!d a!d the the ee eer rise ise *rie *rie is ;)& ;)& is is sai said d to #e a. i!2the2mo!e #. out2of2the2mo!e . at2the2mo!e d. eerisa#le e. !o!e of the a#ove Or-a Or-a!i5 !i5ed ed o*tio o*tio!s !s marke markets ts are are diff differe! ere!tt from from over over2t 2the he2 2ou ou!t !ter er o*tio o*tio!s !s mark markets ets for for all all of the the follo follo"i "i!!reaso!s ee*t a. eerise terms 1-4
Co*ri-ht 7 (%%1 # Harourt8 I!
&.
).
3.
$.
'.
1%.
11. 11.
#. *hsial tradi! - floor . re-ulatio! d. sta!dardi5ed o o!trats e. redit risk The !um !um#e #err of of o*tio o*tio!s !s a6u a6uire ired d "he! "he! o!e o!e o! o!tra trat t is is * *ur urha hase sed d o! a! e eha ha!-e !-e is a. 1 #. & . 1%% d. & %% e. $ 8% % % The adv adva!t a!taa-es es of of the the ove over2 r2the the2 2ou ou!te !terr o*tio o*tio!s !s mark market et i!lu i!lude de all all of the fol follo lo"i "i!!- e ee* e*tt a. ustomi5ed o o!trats #. *rivatel eeuted . freedom fr from -o -over!me!t re re-ulatio! d. lo"er *ries e. !o!e of the a#ove 0hih 0hih o!e o!e of the foll follo" o"i! i!- is !ot !ot a t* t*ee of of tra!sa tra!sati tio! o! os ostt i! o*ti o*tio!s o!s tradi! tradi!-4 -4 a. the #id2ask s*read #. the ommissio! . leari!- fees d. the ost of o#tai!i!- a 6uote e. all of the a#ove If the the mar marke kett make makerr "ill "ill #u #u at / a!d a!d sell sell at at / 19( 19(88 the the #id #id2a 2ask sk s*re s*read ad is is a. $ 19( #. / 19/ . 19( d. / e. !o!e of the a#ove 0hih 0hih of of the follo follo"i "i!!- is a lele-iti itimat matee t*e t*e of o*tio o*tio! ! ord order er o! o! the the e eha ha!!-e4 e4 a. *urhase order #. limit order . eeutio! order d. floor order e. all of the a#ove The eer eeris isee *rie *rie a! a! #e set at a! desire desired d level level o! o! eah eah of the foll follo"i o"i!!- t*e t*ess of o*tio!s o*tio!s except a.
1(. 1(.
1+. 1+.
a. eerise #. offset offset . e*iri!- ou out2of2the2mo!e d. #ui!- a *ut e. !o!e of the a#ove 0hi 0hih h t*e t*e of of trad trader er lele-it itim imat atel el *ra *rati tie ess du dual al trad tradi!i!-44 a. floor #rokers #. off>floor off>floor o*tio! traders . #oard #rokers d. desi-!ated *rimar market makers e. !o!e of the a#ove The The o* o*tio! tio! *ri *riee is is als also o re referr ferred ed to as the the a. strike #. s*read . *remium d. fee 1-5
Co*ri-ht 7 (%%1 # Harourt8 I!
1/.
1&. 1&.
1). 1).
13. 13.
1$. 1$.
1'. 1'.
(%. (%.
e. !o!e of the a#ove I!de I!de o*tio! o*tio!ss tradi!tradi!- o! or-a!i5 or-a!i5ed ed eh eha!a!-es es e*ir e*iree aor aordi!di!- to "hih "hih of the foll follo" o"i!i!- les les44 a. Marh8 ?u ?u!e8 Se Se*tem#er8 a! a!d @e @eem#er #. eah of the !et four o!seutive mo!ths . the urr urre!t e!t mo!th mo!th88 the the !et !et mo!th mo!th88 a!d a!d the the !e !ett t"o t"o mo!th mo!thss i! o!e o!e of the other other l les es d. ever er othe otherr mo! mo!th th for for eah eah of the the !e !et !i!e !i!e mo mo!t !ths hs e. !o!e of the a#ove ,! i!v i!ves esto torr "ho "ho eer eris ises es a al alll o*ti o*tio! o! o! o! a! a! i!de i!de must must a. ae ae*t *t the the ash ash dif difffere! ere!e e #et" #et"eee! the the i!d i!de e a!d a!d the the eer eeri ise se *ri *riee #. *urhase all of the stoks i! the i!de i! their a**ro*riate *ro*ortio!s from the "riter . imme immed diate iatel l #u #u a *u *ut o*t o*tio io! ! to to of offset the the all all o*t o*tio io! ! d. imme immed diate iatel l "rit "ritee a!o a!oth ther er all all o*t o*tio io! ! to to of offset e. !o!e of the a#ove 0hi 0hih h of of the the fol follo lo"i "i!!- are are lo! lo!-2 -2te term rm o*ti o*tio! o!s4 s4 a. :o!d o*tio!s #. LE,PS . urre! o*tio!s d. Nikkei *ut "arra!ts e. !o!e of the a#ove The eh eha!a!-ee "ith "ith the larlar-es estt shar sharee of the o*tio o*tio!s !s marke markett is is the the a. ,meria! Stok Eha!-e #. Ne" Aork Aork Stok Eha!-e . Chia-o :o :oard O* O*tio!s E E ha!-e d. Paifi Stok Eha!-e e. Philadel*hia St Stok E Eha!-e , "rit "riter er sel sele ete ted d to to ee eer ris isee a! a! o*ti o*tio! o! is said said to to #e #e a. mar-i!al #. assi-!ed . restrited d. desi-!ated e. !o!e of the a#ove ,ll ,ll of of the the follo ollo"i "i!!- are are fo forms rms of of o*t o*tio io!s !s except a. o!verti#le #o!ds #. alla#le #o!ds . "arra!ts d. mutual fu!ds e. !o!e of the a#ove 0hih 0hih of of the follo follo"i "i!!- i!de i!de o*ti o*tio!s o!s is the most most "ide "idel l trade traded4 d4 a. SBP &%% #. Nikkei ((& . Teh!olo- I!de d. Ne" Aork St Stok E Eha!-e I! I!de e. !o!e of the a#ove
(1. (1.
0her 0heree did did or-a or-a!i !i5e 5ed d o*t o*tio io! ! mar marke kets ts oriori-i! i!at ate4 e4 a. Ne" Aork #. Chia-o . Philadel*hia d. Sa!
((. ((.
0ho 0ho dete determi rmi!e !ess "het "hethe herr o*tio o*tio!s !s o! o! a om om*a *a! !s ssto tok k "ill "ill #e #e lis liste ted4 d4 a. the leari!- house #. Seurities Eha!-e Commissio! . the om*a! d. the eha!-e e. !o!e of the a#ove
(+. (+.
,! orde orderr that that s*e s*ei ifi fies es a ma maimu imum m *rie *rie to *a *a if #ui #ui!!- is a 1-6
Co*ri-ht 7 (%%1 # Harourt8 I!
a. #. . d. e.
sto* order market order limit order all or !o!e order !o!e of the a#ove
(/.
0hat amou!t must a all "riter *a if a ash>settled i!de all is eerised4 a. differe!e #et"ee! the i!de level a!d the eerise *rie #. eerise *rie . differe!e #et"ee! the eerise *rie a!d the i!de level d. i!de level e. !o!e of the a#ove
(&.
O*tio! a. #. . d. e.
1.
, *ortfolio that om#i!es the u!derli!- stok a!d a short *ositio! i! a! o*tio! is alled a. a risk ar#itra-e *ortfolio #. a hed-e *ortfolio . a ratio *ortfolio d. a t"o2state *ortfolio e. !o!e of the a#ove
(.
I! a #i!omial model8 if the all *rie i! the market is hi-her tha! the all *rie -ive! # the model8 ou should a. sell the al l a!d sell short the stok #. #u the all a!d sell short the stok . #u the stok a!d sell the all d. #u the all a!d #u the stok e. !o!e of the a#ove
+.
I! a t"o2*eriod #i!omial "orld8 a mis*ried all "ill lead to a! ar#itra-e *rofit if a. the *ro*er hed-e ratio is mai!tai!ed over the t"o *eriods #. the hed-e *ortfolio is termi!ated after o!e *eriod . the o*tio! -oes from over2 to u!der*ried or vie versa d. the o*tio! remai!s mis*ried over #oth *eriods e. !o!e of the a#ove
/.
The values of u a!d d are "hih of the follo"i!-4 a. the retur! o! the stok if it -oes u* a!d do"!8 res*etivel #. the i!verse of the ratio of the u* a!d do"! *ro#a#ilities8 res*etivel8 a!d the risk2free rate . the !ormal *ro#a#ilities of u* a!d do"! moveme!ts8 res*etivel d. o!e *lus the retur! o! the stok if it -oes u* a!d do"!8 res*etivel e. !o!e of the a#ove
&.
If the stok *as a s*eifi dollar divide!d a!d the stok *rie8 to i!lude the divide!d8 follo"s the #i!omial u* a!d do"! fators8 "hih of the follo"i!- "ill ha**e!4 a. the #i!omial tree "ill reom#i!e #. the #i!omial tree "ill !ot reom#i!e . the o*tio! "ill #e mis*ried d. a! ar#itra-e *rofit "ill !ot #e *ossi#le e. !o!e of the a#ove
).
0he! *uts are *ried "ith the #i!omial model8 "hih of the follo"i!- is true4 a. the *uts must #e ,meria!
traders i!ur "hih of the follo"i!- t*es of osts4 mar-i! re6uireme!ts taes stok tradi!- ommissio!s a a!d # a8 # a!d CHAPTER 4: OPTION PRICING MODELS: THE BINOMIAL MODEL
1-7
Co*ri-ht 7 (%%1 # Harourt8 I!
#. . d. e.
the *uts a!!ot #e *ro*erl hed-ed t he *uts "ill violate *ut2all *arit the hed-e ratio is o!e throu-hout the tree !o!e of the a#ove
3.
If the #i!omial model is ete!ded to multi*le *eriods for a fied o*tio! life8 "hih of the follo"i!adDustme!ts must #e made4 a. the u* a!d do"! fators must #e i!reased #. the risk2free rate must #e i!reased . the u* a!d do"! fators a!d the risk2free rate must #e dereased d. the i!itial stok *rie must #e *ro*ortio!atel redued e. !o!e of the a#ove $. 0hih of the follo"i!- are !ot *ath2de*e!de!t o*tio!s "he! the stok *as a o!sta!t divide!d ield4 a. Euro*ea! alls a!d Euro*ea! *uts #. Euro*ea! alls a!d ,meria! *uts . ,meria! *uts a!d Euro*ea! *uts d. ,meria! *uts a!d Euro*ea! alls e. !o!e of the a#ove '. I! a !o!2reom#i!i!- tree8 the !um#er of *aths that "ill our after three *eriods is a. three #. four . te! d. ei-ht e. si 1%. 0he! the !um#er of time *eriods i! a #i!omial model is lar-e8 a Euro*ea! all o*tio! value does "hat4 a. flutuates arou!d its i!t ri !si value #. o!ver-es to a s*eifi value . i!reases "ithout limit d. o!ver-es to the Euro*ea! lo"er #ou!d e. !o!e of the a#ove 11. 0he! the !um#er of time *eriods i! a #i!omial model is lar-e8 "hat ha**e!s to the #i!omial *ro#a#ilit of a! u* move4 a. it a**roahes 1.% #. it a**roahes 5ero . it flutuates "ithout *atter! d. it o!ver-es to .& e. !o!e of the a#ove Co!sider a #i!omial "orld i! "hih the urre!t stok *rie of $% a! either -o u* # 1% *ere!t or do"! # $ *ere!t. The risk2free rate is / *ere!t. ,ssume a o!e2*eriod "orld. ,!s"er 6uestio!s 1( t hrou-h 1& a#out a all "ith a! eerise *rie of $%. 1(.
0hat "ould #e the alls *rie if the stok -oes u*4 a. +.)% #. $.%% . &.31 d. /.+' f. !o!e of the a#ove
1+.
0hat "ould #e the alls *rie if the stok -oes do"!4 a. $.%% #. +.)% . %.%% d. '.%% e. !o!e of the a#ove
1/.
0hat is the hed-e ratio4 a. ./(' #. .31/ . .&31 1-8
Co*ri-ht 7 (%%1 # Harourt8 I!
d. e. 1&.
.$(+ !o!e of the a#ove
0hat is the theoretial value of the all4 a. $.%% #. /.+' . &.1& d. &.+) e. !o!e of the a#ove
No" ete!d the o!e2*eriod #i!omial model to a t"o2*eriod "orld. ,!s"er 6uestio!s 1) throu-h 1$. 1). 0hat is the value of the all if the stok -oes u*8 the! do"!4 a. %.') #. 1).$% . $.%% d. %.%% e. !o!e of the a#ove 13.
0hat is the hed-e ratio if the stok -oes do"! o!e *eriod4 a. %.%% #. %.%3(& . 1.%% d. %.3+ e. !o!e of the a#ove
1$.
0hat is the urre!t value of the all4 a. $.%% #. 3.+% . 11.1+ d. %.)1' e. !o!e of the a#ove
1'.
I! the #i!omial model8 if a! o*tio! has !o ha!e of e*iri!- out2of2the2mo!e8 the hed-e ratio "ill #e a. %.& #. i!fi!ite . 1 d. % e. !o!e of the a#ove Su**ose S F 3%8 = F )&8 r F .%&8 * F .)8 Cu F 3.138 Cd F 1.(( a!d there is o!e *eriod left i! a! ,meria! alls life. 0hat "ill the o*tio! #e "orth4 a. ).$+ #. %.%% . /.&) d. &.%% e. !o!e of the a#ove I! a o!e2*eriod #i!omial model "ith Su F /'.&8 Sd F /%.&8 * F .$8 r F .%)8 S F /& a!d = F &%8 "hat is a Euro*ea! *ut "orth4 a. (.13 #. %.&% . '.&% d. &.%% e. !o!e of the a#ove 0hih of the follo"i!- stateme!ts a#out the #i!omial model is i!orret4 a. it o!ver-es to the :lak2Sholes model #. it a! aommodate earl eerise . it allo"s o!l t"o stok *ries at e*iratio! d. it a! #e ete!ded to a lar-e !um#er of time *eriods e. !o!e of the a#ove
(%.
(1.
((.
1-9
Co*ri-ht 7 (%%1 # Harourt8 I!
(+.
, stok *ried at &% a! -o u* or do"! # 1% *ere!t over t"o *eriods. The risk2free rate is / *ere!t. 0hih of the follo"i!- is the orret *rie of a! ,meria! *ut "ith a! eerise *rie of &&4 a. 3.$$ #. +.+$ . /.%% d. &.%% e. 1.)&G (/. @etermi!e the value of u for a three *eriod #i!omial *ro#lem "he! the o*tio!s life is o!e2half a ear a!d the volatilit is ./$. Use the model for u that does !ot re6uire the risk2free rate. a. 1.(( #. 1./$ . 1./% d. 1.+( e. !o!e of the a#ove (&. 0hih of the follo"i!- stateme!ts a#out the #i!omial o*tio! *rii!- model is !ot al"as true4 a. it a! a*ture the effet of earl eerise #. it a! aommodate a lar-e !um#er of *ossi#le stok *ries at e*irati o! . it reflets the effets of the stok *rie8 eerise *rie8 risk2free rate8 volatilit a!d time to e*iratio! d. it -ives the *rie at "hih the o*tio! "ill trade i! the market. e. !o!e of the a#ove CHAPTER 5: OPTION PRICING MODELS: THE BLACK-SCHO LES MODEL
The follo"i!- i!formatio! is -ive! a#out o*tio!s o! the stok of a ertai! om*a!. S% F (+ r F .%' ( σ F .1&
= F (% T F .&
No divide!ds are e*eted. Use this i!formatio! to a!s"er 6uestio!s 1 throu-h $. 1. 0hat value does the :lak2Sholes model *redit for the all4 a. &.+& #. 1.1% . /.3+ d. ).&% e. !o!e of the a#ove (. Su**ose ou feel that the all is over*ried. 0hat strate- should ou use to e*loit the a**are!t misvaluatio!4 a. #u 3'1 shares8 sell 18%%% alls #. #u 3%& shares8 sell 18%%% alls . sell short 3'1 shares8 #u 18%%% alls d. sell short 3%& shares8 #u 18%%% alls e. !o!e of the a#ove +. The *rie of a *ut o! the stok is a. %.$& #. $.)/ . (.+& d. /.$$ e. !o!e of the a#ove /. To o!strut a riskless hed-e8 the !um#er of *uts *er 1%% shares *urhased is a. .3&$% #. .(/(% . 2.(/$% d. 2.))($ e. !o!e of the a#ove &. The alls ve-a is a. 2+.%( #. .%/) 1-10
Co*ri-ht 7 (%%1 # Harourt8 I!
).
3.
$.
'.
1%.
11.
. 2.3'( d. /.)3 e. !o!e of the a#ove If the atual all *rie is +.3'8 the im*lied sta!dard deviatio! is a. .(& #. -reater tha! .(& . less tha! .(& d. i!fi!ite e. !o!e of the a#ove If "e !o" assume that the stok *as a divide!d at a k!o"! o!sta!t rate of +.& *ere!t8 "hat stok *rie should "e use i! the model4 a. ((.)% #. 1'.)& . (+ d. (1.'' e. !o!e of the a#ove If "e !o" assume that the stok *as a si!-le divide!d of (.(& i! three mo!ths8 "hat stok *rie should "e use i! the model4 a. 13.3& #. (%.3& . (% d. (%.$% e. !o!e of the a#ove If the sim*le retur! o! a Treasur #ill is $.& *ere!t8 the risk2free rate i! the :lak2Sholes model is a. $.33 *ere!t #. $.'+ *ere!t . $.&& *ere!t d. $.(% *ere!t e. !o!e of the a#ove 0hih of the follo"i!- varia#les i! the :lak2Sholes o*tio! *rii!- model is the most diffiult to o#tai!4 a. the volatilit #. the risk2free rate . the stok *rie d. the time to e*iratio! e. the eerise *rie The #i!omial *rie "ill theoretiall e6ual the :lak2Sholes *rie u!der "hih of the follo"i!o!ditio!s4 a. "he! the !um#er of time *eriods is lar-e #. "he! the o*tio! is at2the2mo!e . "he! the o*tio! is i!2the2mo!e d. "he! the o*tio! is out2of2the2mo!e e. !o!e of the a#ove
1(.
If the stok *rie is //8 the eerise *rie is /%8 the *ut *rie is 1.&/8 a!d the :lak2Sholes *rie usi!- .($ as the volatilit is 1.118 the im*lied volatilit "ill #e a. hi-her tha! .($ #. lo"er tha! .($ . .($ d. lo"er tha! the risk2free rate e. !o!e of the a#ove 1+. 0hih of the follo"i!- stateme!ts a#out the :lak2Sholes model is !ot true4 a. dereasi!- the volatilit lo"ers the all *rie #. the e*eted stok *rie *las a role i! the model . the risk2free rate is o!ti!uousl om*ou!ded d. the model is o!siste!t "ith *ut2all *arit e. !o!e of the a#ove 1/. 0hih of the follo"i!- harateristis of the :lak2Sholes model is !ot orret4 a. it is a disrete time model 1-11
Co*ri-ht 7 (%%1 # Harourt8 I!
1&.
1).
13.
1$.
1'.
(%.
#. it is the limi t of the #i!omial model . it is a o!ti!uous time model d. it -ives the *rie of a Euro*ea! o*tio! e. !o!e of the a#ove 0hih of the follo"i!- assum*tio!s of the :lak2Sholes model is !ot orret4 a. t he stok volatilit is o!sta!t #. the stok retur! follo"s a !ormal distri#utio! . there are !o tra!satio! osts d. there are !o taes e. !o!e of the a#ove 0hih of the follo"i!- stateme!ts a#out the delta is !ot true4 a. it ra!-es from 5ero to o!e #. it o!ver-es to 5ero or o!e at e*irat io! . it is -ive! # Nd1 i! the :lak2Sholes model d. it ha!-es slo"l !ear e*iratio! if the o*tio! is at2the2mo!e e. !o!e of the a#ove 0hih of the follo"i!- JKreeks is !ot a measure of the o*tio!s se!sitivit to a ha!-e i! o!e of its i!*ut values4 a. delta #. -amma . rho d. theta e. si-ma 0hih of the follo"i!- stateme!ts is true a#out the relatio!shi* #et"ee! the o*tio! *rie a!d the risk2free rate4 a. a all *rie is !earl li!ear "ith res*et to the risk2free rate #. a all *rie is hi-hl se!sitive to the risk2free rate . the risk2free rate affets a all #ut !ot a *ut d. the risk2free rate does !ot affet a all *rie e. !o!e of the a#ove The relatio!shi* #et"ee! the volatilit a!d the time to e*iratio! is alled the a. volatilit smile #. volatilit ske" . term struture of volatilit d. theta e. !o!e of the a#ove 0hat is the reaso! for eeuti!- a -amma hed-e4 a. the volatilit a! ha!-e #. the stok *rie a! make a lar-e move . the stok *rie moves are too small for a delta hed-e to "ork d. there is !o true risk2free rate e. !o!e of the a#ove
(1. 0hih of the follo"i!- stateme!ts a#out the volatilit is !ot true4 a. the im*lied volatilit ofte! differs aross o*tio!s "ith differe!t eerise *ries #. the im*lied volatilit e6uals the historial volatilit if the o*tio! is orretl *ried . the im*lied volatilit is determi!ed # trial a!d error d. the im*lied volatilit is !earl li!earl related to the o*tio! *rie e. !o!e of the a#ove
((. The relatio!shi* #et"ee! the o*tio! *rie a!d the eerise *rie is alled a. the -amma #. the ve-a . the ome-a d. the 5eta e. !o!e of the a#ove (+. 0hat ha**e!s "he! the volatilit is 5ero i! the :lak2Sholes model4 1-12
Co*ri-ht 7 (%%1 # Harourt8 I!
a. #. . d. e.
the o*tio! *rie o!ver-es to either 5ero or the lo"er #ou!d the o*tio! *rie o!ver-es to the i!tri!si value the o*tio! automatiall e*ires out of the mo!e the -amma a!d delta o!ver-e !o!e of the a#ove
(/. 0hih of the follo"i!- is !ot orret a#out a alls -amma4 a. it is the same as a *uts -amma #. it is lar-e "he! the all is at2the2mo!e . it a! #e vie"ed as a measure of the risk of the delta d. it is a soure of risk that a! #e hed-ed o!l # usi!- a!other o*tio! e. !o!e of the a#ove (&. 0hih of the follo"i!- stateme!ts is i!orret a#out the historial volatilit4 a. if used i! the :lak2Sholes model8 it -ives the urre!t market *rie #. it is #ased o! the volatilit of the lo- retur! o! the stok . it re6uires a sam*le of ree!t retur!s d. it should #e o!verted to a! a!!uali5ed volatilit e. !o!e of the a#ove CHAPTER 6: BASIC OPTION STRATEGIES
Co!sider a stok *ried at ;+% "ith a sta!dard deviatio! of .+. The risk2free rate is .%&. There are *ut a!d all o*tio!s availa#le at eerise *ries of +% a!d a time to e*iratio! of si mo!ths. The alls are *ried at ;(.$' a!d the *uts ost ;(.1&. There are !o divide!ds o! the stok a!d the o*tio!s are Euro*ea!. ,ssume that all tra!satio!s o!sist of 1%% shares or o!e o!trat 1%% o*tio!s. Use this i!formatio! to a!s"er 6uestio!s 1 throu-h 1%. 1.
0hat is our *rofit if ou #u a all8 hold it to e*iratio! a!d the stok *rie at e*iratio! is ;+34 a. ;3%% #. 2;($' . ;(8311 d. ;/11 e. !o!e of the a#ove
(.
0hat is the #reakeve! stok *rie at e*iratio! o! the tra!satio! desri#ed i! *ro#lem 14 a. ;+(.$' #. ;+%.%% . ;(3.11 d. ;+(.1& e. there is !o #reakeve!
+.
0hat is the maimum *rofit o! the tra!satio! desri#ed i! *ro#lem 14 a. ;(8311 #. i!fi!it . 5ero d. ;+8($' e. ;+8%%%
/.
0hat is the maimum *rofit that the "riter of a all a! make4 a. ;(8311 #. ;($' . ;+8%%% d. ;+8($' e. !o!e of the a#ove
&.
Su**ose the #uer of the all i! *ro#lem 1 sold the all t"o mo!ths #efore e*iratio! "he! the stok *rie "as ;++. Ho" muh *rofit "ould the #uer make4 a. ;+(.$' 1-13
Co*ri-ht 7 (%%1 # Harourt8 I!
#. . d. f.
;+%.11 ;3$.%% ;11.%% !o!e of the a#ove
).
Su**ose the i!vestor o!struted a overed all. ,t e*iratio! the stok *rie is ;(3. 0hat is the i!vestors *rofit4 a. ;&$' #. ;($' . ;(8'$' d. ;(8311 e. !o!e of the a#ove
3.
0hat is the #reakeve! stok *rie at e*iratio! for the tra!satio! desri#ed i! *ro#lem )4 a. ;(3.11 #. ;+%.%% . ;+(.$' d ;('.$' e. !o!e of the a#ove
$.
If the tra!satio! desri#ed i! *ro#lem ) is losed out "he! the o*tio! has three mo!ths to -o a!d the stok *rie is at ;+)8 "hat is the i!vestors *rofit4 a. ;)%% #. ;+11 . ;$$' d. ;((' e. !o!e of the a#ove
'.
0hat is the maimum *rofit from the tra!satio! desri#ed i! Questio! ) if the *ositio! is held to e*iratio!4 a. ;+8($' #. ;($' . i!fi!it d. ;(8311 e. !o!e of the a#ove
1%.
0hat is the mi!imum *rofit from the tra!satio! desri#ed i! Questio! ) if the *ositio! is held to e*iratio!4 a. 2;(8311 #. 2;+8($' . 2;+8%%% d. !e-ative i!fi!it e. !o!e of the a#ove Co!sider t"o *ut o*tio!s differi!- o!l # eerise *rie. The o!e "ith the hi-her eerise *rie has a. the lo"er #reakeve! a!d lo"er *rofit *ote!tial #. the lo"er #reakeve! a!d -reater *rofit *ote!tial . the hi-her #reakeve! a!d -reater *rofit *ote!tial d. the hi-her #reakeve! a!d lo"er *rofit *ote!tial e. the -reater *remium a!d lo"er *rofit *ote!tial
11.
1(.
0hih of the follo"i!- stateme!ts is true a#out losi!- a lo!- all *ositio! *rior to e*iratio! relative to holdi!- it to e*iratio!4 a. the *rofit is -reater at all stok *ries #. the *rofit is -reater o!l at lo" stok *ries . the *rofit is -reater o!l at hi-h stok *ries d. the ra!-e of *ossi#le *rofits is -reater e. !o!e of the a#ove are true
1+.
0hih of the follo"i!- tra!satio!s does !ot *rofit i! a stro!- #ull market. 1-14
Co*ri-ht 7 (%%1 # Harourt8 I!
a. #. . d. e.
a short *ut a overed all a *rotetive *ut a s!theti all !o!e of the a#ove
1/.
0hih of the follo"i!- is e6uivale!t to a s!theti all4 a. a lo!- stok a!d a short *ut *ositio! #. a lo!- *ut a!d a lo!- stok *ositio! . a lo!- *ut a!d a short risk2free #o!d *ositio! d. a lo!- stok a!d a short risk2free #o!d *ositio! e. !o!e of the a#ove
1&.
Earl eerise im*oses a risk to all #ut o!e of the follo"i!- tra!satio!s. a. a short all #. a short *ut . a *rotetive *ut d. a! u!overed all e. !o!e of the a#ove
1).
Eah of the follo"i!- is a #ullish strate- except a. a lo!- all #. a short *ut . a short stok d. a *rotetive *ut e. !o!e of the a#ove
13.
0hih of the follo"i!- strate-ies has the -reatest *ote!tial loss4 a. a! u!overed all #. a lo!- *ut . a overed all d. a lo!- *ositio! i! the stok e. it is im*ossi#le to tell 0hih of the follo"i!- strate-ies has esse!tiall the same *rofit dia-ram as a overed all4 a. a lo!- *ut #. a short *ut . a *rotetive *ut d. a lo!- all e. !o!e of the a#ove 0hih of the follo"i!- stateme!ts is true a#out the *urhase of a *rotetive *ut at a hi-her eerise *rie relative to a lo"er eerise *rie4 a. the #reakeve! is lo"er #. the maimum loss is -reater . the i!sura!e is less ostl d. the i!sura!e is more ostl e. !o!e of the a#ove
1$.
1'.
(%.
0hat is the disadva!ta-e of a strate- of rolli!- over a overed all to avoid eerise4 a. the all *remium is esse!tiall thro"! a"a #. tra!satio! osts te!d to #e hi-h . the stok "ill i!ur losses d. the all is more e*e!sive "he! rolled over e. !o!e of the a#ove
(1.
0hih of the follo"i!- is the #reakeve! for a *rotetive *ut4 a. = S% 2 P #. P S% . = 2 ST d. = > S% 2 P 1-15
Co*ri-ht 7 (%%1 # Harourt8 I!
e.
!o!e of the a#ove
((.
0hih of the follo"i!- stateme!ts a#out a overed all "riti!- strate- is true4 a. the losses are limited #. retur! a!d risk are -reater tha! that of sim*l holdi!- the stok . it is a hea*er form of i!sura!e tha! a *rotetive *ut d. it -e!erall makes a lar-e !um#er of small *rofits e. !o!e of the a#ove
(+.
The differe!e i! *rofit from a! atual *ut a!d a s!theti *ut is a. = #. ST 2 = . = 2 ST d. ST =1 r2T e. !o!e of the a#ove
(/.
, overed all "riter "ho *refers eve! less risk should a. -et rid of the all #. s"ith to a all "ith a lo"er eerise *rie . -et rid of the stok d. s"ith to a all "ith a hi-her eerise *rie e. !o!e of the a#ove
(&.
0hih a. #. . d. e.
of the follo"i!- i!vestors ma #e o#li-ated to #u stok4 overed all "riter all #uer *ut "riter *rotetive *ut #uer !o!e of the a#ove
CHAPTER 7: ADVANCED OPTION STRATEGIES
The follo"i!- *ries are availa#le for all a!d *ut o*tio!s o! a stok *ried at ;&%. The risk2free rate is ) *ere!t a!d the volatilit is .+&. The Marh o*tio!s have '% das remai!i!- a!d the ?u!e o*tio!s have 1$% das remai!i!-. The :lak2Sholes model "as used to o#tai! the *ries. Calls
Puts
Strike
Marh
?u!e
Marh
?u!e
/&
).$/
$./1
1.1$
(.%'
&%
+.$(
&.&$
+.%$
/.1+
&&
1.$'
+.&/
).%$
).'+
Use this i!formatio! to a!s"er 6uestio!s 1 throu-h (%. ,ssume that eah tra!satio! o!sists of o!e o!trat 1%% o*tio!s u!less other"ise i!diated.
Ho" muh "ill the s*read ost4 a. ;'$) 1-16
Co*ri-ht 7 (%%1 # Harourt8 I!
#. . d. e. (.
+.
/.
&.
).
;+%( ;($+ ;1'+ !o!e of the a#ove
0hat is the maimum *rofit o! the s*read4 a. ;&%% #. ;$%( . ;1'$ d. ;+%( e. !o!e of the a#ove 0hat is the maimum loss o! the s*read4 a. ;&%% #. ;)'$ . ;1'$ d. ;$%( e. !o!e of the a#ove 0hat is the *rofit if the stok *rie at e*iratio! is ;/34 a. 2;1%( #. ;+'$ . 2;+%( d. ;&%% e. !o!e of the a#ove 0hat is the #reakeve! *oi!t4 a. ;/$.%( #. ;/1.'$ . ;&&.)) d. ;&%.%% e. !o!e of the a#ove Su**ose ou losed the s*read )% das later. 0hat "ill #e the *rofit if the stok *rie is still at ;&%4 a. ;/1 #. ;1'$ . ;+%( d. ;1%( e. !o!e of the a#ove
0hat "ill #e the ost of the #utterfl s*read4 a. ;181'& #. ;)+3 . ;3' d. ;18%/& e. !o!e of the a#ove
$.
0hat "ill #e the *rofit if the stok *rie at e*iratio! is ;&(.&%4 a. ;131 #. ;18/(1 . ;1.%+3 d. ;/(1 e. !o!e of the a#ove Su**ose ou "ish to o!strut a ratio s*read usi!- the Marh a!d ?u!e &% alls. Aou "a!t to #u 1%% ?u!e &% all o!trats. Ho" ma! Marh &% alls "ould ou sell4 a. 1%& #. '& . 1%% d. &3 e. !o!e of the a#ove
'.
1-17
Co*ri-ht 7 (%%1 # Harourt8 I!
,!s"er 6uestio!s 1% a!d 11 a#out a ale!dar s*read #ased o! the assum*tio! that stok *ries are e*eted to remai! fairl o!sta!t. Use the ?u!e9Marh &% all s*read. ,ssume o!e o!trat of eah. 1%. 0hat "ill the s*read ost4 a. 2;13) #. ;13) . ;&&$ d. ;1%& e. !o!e of the a#ove 11. 0hat "ill #e the *rofit if the s*read is held '% das a!d the stok *rie is ;/&4 a. ;+) #. ;(% . ;&&$ d. 2;(% e. !o!e of the a#ove ,!s"er 6uestio!s 1( throu-h 13 a#out a lo!- straddle o!struted usi!- the ?u!e &% o*tio!s. 1(. 0hat "ill the straddle ost4 a. ;1/& #. ;)'% . ;'31 d. ;/1+ e. !o!e of the a#ove 1+. 0hat are the t"o #reakeve! stok *ries at e*iratio!4 a. ;&&.&$ a!d ;/&.$3 #. ;&/.1+ a!d ;/&.$3 . ;&&.&$ a!d ;//./( d. ;&'.31 a!d ;/%.(' e. !o!e of the a#ove 1/. 0hat is the *rofit if the stok *rie at e*iratio! is at ;)/.3&4 a. 2;'31 #. ;18/3& . 2;+8&(& d. ;&%% e. !o!e of the a#ove 1&. 0hat is the *rofit if the *ositio! is held for '% das a!d the stok *rie is ;&&4 a. 2;'31 #. 2;&$ . 2;1%' d. 2;/31 e. !o!e of the a#ove 1).
Su**ose the i!vestor adds a all to the lo!- straddle8 thus reati!- a stra*. 0hat "ill this do to the #reakeve! stok *ries4 a. lo"er #oth the u*side a!d do"!side #reakeve!s #. raise #oth the u*side a!d do"!side #reakeve!s . raise the u*side a!d lo"er the do"!side #reakeve!s d. lo"er the u*side a!d raise the do"!side #reakeve!s e. !o!e of the a#ove
13.
@etermi!e the *rofit at e*iratio! o! a stri* if the stok *rie at e*iratio! is ;+). a. 2;1(' #. ;18/1) . ;/(' d. ;18+$/ e. !o!e of the a#ove
,!s"er 6uestio!s 1$ throu-h (% a#out a lo!- #o s*read usi!- the ?u!e &% a!d && o*tio!s. 1$. 0hat is the ost of the #o s*read4 a. ;&%% #. ;(8%1$ 1-18
Co*ri-ht 7 (%%1 # Harourt8 I!
1'.
. ;3) d. ;/$/ e. !o!e of the a#ove 0hat is the *rofit if the stok *rie at e*iratio! is ;&(.&%4 a. ;1) #. ;&%% . 2;(+/ d. ;(&% e. !o!e of the a#ove
(%.
0hat is the !et *rese!t value of the #o s*read4 a. ;'.$/ #. ;&.%% . ;1).%% d. ;1.$/ e. !o!e of the a#ove
(1.
0hih a. #. . d. e.
((.
0hih of the follo"i!- tra!satio!s a! have a! u!limited loss4 a. lo!- straddle #. ale!dar s*read . #utterfl s*read d. reverse #o s*read e. !o!e of the a#ove
(+.
0hih of the follo"i!- is the #est strate- for a! e*eted fall i! the market4 a. lo!- stri* #. *ut #ull s*read . ale!dar s*read d. #utterfl s*read e. !o!e of the a#ove
(/.
Earl eerise is a disadva!ta-e i! "hih of the follo"i!- tra!satio!s4 a. short #o s*read #. *ut #ear s*read . lo!- stri* d. lo!- stra* e. !o!e of the a#ove 0hih of the follo"i!- have similar *rofit -ra*hs4 a. al l #ull s*read a!d lo!- #o s*read #. *ut #ear s*read a!d short #o s*read . #utterfl s*read a!d rat io s*read d. ale!dar s*read a!d all #ear s*read e. !o!e of the a#ove
(&.
of the follo"i!- strate-ies does !ot *rofit i! a risi!- market4 *ut #ull s*read lo!- straddle ollar all #ull s*read !o!e of the a#ove
CHAPTER 8: THE STRUCTURE OF FORWARD AND FUTURES MARKETS
1.
0hih a. #. . d. e.
of the follo"i!- is !ot a futures eha!-e4 Mi!!ea*olis Krai! Eha!-e :osto! Commodit Eha!-e Coffee8 Su-ar a!d Cooa Eha!-e a!sas Cit :oard of Trade Mid,meria Commodit Eha! -e
1-19
Co*ri-ht 7 (%%1 # Harourt8 I!
(.
0hih of the follo"i!- o!trat terms is !ot set # the futures eha!-e4 a. the dates o! "hih deliver a! our #. the e*iratio! mo!ths . the delivera#le ommodities d. the si5e of the o!trat e. the *rie
+.
0hih of the follo"i!- or-a!i5atio!s has the ultimate re-ulator authorit i! the futures i!dustr4 a. Natio!al
/.
Mar-i! a. #. . d. e.
&.
If the i!itial mar-i! is ;&8%%%8 the mai!te!a!e mar-i! is ;+8&%% a!d our #ala!e is ;/8%%%8 ho" muh must ou de*osit4 a. ;)8%%% #. ;18&%% . ;'8%%% d. !othi!e. !o!e of the a#ove If the i!itial mar-i! is ;&8%%%8 the mai!te!a!e mar-i! is ;+8&%% a!d our #ala!e is ;+81%%8 ho" muh must ou de*osit4 a. ;18&%% #. ;/%% . ;18'%% d. % e. !o!e of the a#ove The !um#er of futures o!trats outsta!di!- is alled the a. re*orta#le *ositio! #. mi!imum volume . o*e! i!terest d. s*read *ositio! e. !o!e of the a#ove Most futures o!trats are losed # a. deliver #. offset . eerise d. default e. !o!e of the a#ove Most for"ard o!trats are losed # a. deliver #. offset . eerise d. default e. !o!e of the a#ove 0hih of the follo"i!- is !ot a for"ard o!trat4 a. a lo!-2term em*lome!t o!trat at a fied salar #. a! automo#ile lease !o!2a!ela#le for three ears . a rai! hek d. a si-!ed o!trat to #u a house i! si mo!ths e. !o!e of the a#ove
).
3.
$.
'.
1%.
i! a futures tra!satio! differs from mar-i! i! a stok tra!satio! #eause stok tra!satio!s are muh smaller deliver ours immediatel i! a stok tra!satio! !o mo!e is #orro"ed i! a futures tra!satio! futures are muh more volatile !o!e of the a#ove
1-20
Co*ri-ht 7 (%%1 # Harourt8 I!
11.
1(.
1+.
1/.
0here did the U.S. futures market ori-i!ate4 a. Chia-o #. a!sas . Ne" Aork d. Mi!!ea*olis e. !o!e of the a#ove 0hih of the follo"i!- is a trader o! the floor of the futures eha!-e4 a. i!trodui!- #roker #. ommissio! #roker . ommodit tradi!- advisor d. ommodit *ool o*erator e. !o!e of the a#ove ariatio! mar-i! is "hih of the follo"i!-4 a. the differe!e i! mar-i! #et"ee! hed-er a!d s*eulator #. mar-i! differe!es aordi!- to tradi!- stle . mar-i! de*osited as a result of marki!-2to2market d. mar-i! set # the varia#ilit of a futures *rie e. !o!e of the a#ove 0hih of the follo"i!- is the most ativel traded U.S. futures o!trat4 a. SBP &%% I!de #. rude oil . Treasur #o!ds d. 0heat f. !o!e of the a#ove
1&.
0hih a. #. . d. e.
of the follo"i!- duties is !ot *erformed # the leari!-house4 holdi!- mar-i! de*osits -uara!teei!- *erforma!e of #uer a!d "riter mai!tai!i!- reords of tra!satio!s le!di!- mo!e to meet mar-i! re6uireme!ts !o!e of the a#ove
1).
0hat are iruit #reakers4 a. rules that sto* tradi!- "he! futures are a#out to e*ire #. a sstem that shuts do"! the eha!-e om*uter duri!- *eriods of a#!ormal volume . limits o! the !um#er of o!trats that a! #e traded o! hi-h volume das d. rules that limit the !um#er of o!trats a s*eulator a! hold e. !o!e of the a#ove
13.
,! after2hours om*uteri5ed tradi!- sstem at the CME is alled a. COME= #. KLO:E=( . LI<
1$.
0hih a. #. . d. e.
1'.
Tradi!- as #oth a #roker a!d a dealer is alled a. dual tradi! #. s*readi!. sal*i!-
of the follo"i!- is !ot a method of termi!ati!- a futures o!trat4 offset deliver eha!-e for *hsials sal*i!!o!e of the a#ove
1-21
Co*ri-ht 7 (%%1 # Harourt8 I!
d. e.
ar#itra-i!!o!e of the a#ove
(%.
The tradi!- *roedure o! the floor of the futures eha!-e is referred to as a. a-ai!st atuals #. o*e! i!terest . o*e! outr d. i!de *artii*atio! e. !o!e of the a#ove
(1.
, futures o!trat overs &%%% *ou!ds "ith a mi!imum *rie ha!-e of ;%.%1 is sold for ;+1.)% *er *ou!d. If t he i!itial mar-i! is ;(8&(& a!d t he mai!te!a!e mar-i! is ;18%%%8 at "hat *rie "ould there #e a mar-i! all4 a. +1.'1 #. +(.11 . +1.(' d. +1.%' e. +1.
%$((.
O!e of the adva!ta-es of for"ard markets is a. *erforma!e is -uara!teed # the K2+% #. tradi!- is o!duted i! the eve!i!- over om*uters . the o!trats are *rivate a!d ustomi5ed d. tradi!- is less ostl a!d -over!ed # more rules -. !o!e of the a#ove
(+.
0hih a. #. . d. e.
(/.
0hih eha!-e is the lar-est futures eha!-e i! the "orld4 a. Chia-o :oard of Trade #. EUE= . Chia-o Mera!tile Eha!-e d. Toko Commodit Eha!-e e. !o!e of the a#ove
(&.
0hih of the follo"i!- is !ot a t*e of futures trader4 a. sal*ers #. ar#itra-eurs . *rofit2takers d. hed-ers e. da t raders
is the most ative -rou* of futures4 e!er- a-riulture urre! fi!a!ials !o!e of the a#ove
CHAPTER : PRINCIPLES OF FORWARD AND FUTURES PRICING
1.
, market "ith o!ta!-o a!d #ak"ardatio! is said to #e a. at less tha! full arr #. i!effiie!t . offeri!- a risk *remium d. #iased e. !o!e of the a#ove
(.
0hih a. #. . d.
of the follo"i!- #est desri#es !ormal o!ta!-o4 the s*ot *rie is less tha! the futures *rie the futures *rie is less tha! the s*ot *rie the e*eted s*ot *rie is less tha! the futures *rie the ost of arr is !e-ative 1-22
Co*ri-ht 7 (%%1 # Harourt8 I!
e.
!o!e of the a#ove
+.
0hih a. #. . d. e.
/.
U!der "hih of the follo"i!- situatio!s "ill futures *ries !ot e6ual for"ard *ries a. "he! futures *ries a!d i!terest rates are u!orrelated #. "he! i!terest rates do !ot ha!-e . o!e da *rior to e*iratio! d. at e*iratio! e. !o!e of the a#ove
&.
Su**ose ou #u a o!e2ear for"ard o!trat at ;)&. ,t e*iratio!8 the s*ot *rie is ;3+. The risk2free rate is 1% *ere!t. 0hat is the value of the o!trat at e*iratio!4 a. ;$.%% #. 2;$.%% . ;%.%% d. ;3.(3 e. !o!e of the a#ove
).
Su**ose ou sell a three2mo!th for"ard o!trat at ;+&. O!e mo!th later8 !e" for"ard o!trats are selli!- for ;+%. The risk2free rate is 1% *ere!t. 0hat is the value of our o!trat4 a. ;/.') #. ;&.%% . ;/.'( d. ;/.&& e. !o!e of the a#ove Su**ose ou #u a futures o!trat at ;1&%. If the futures *rie ha!-es to ;1/38 "hat is its value a! i!sta!t #efore it is marked2to2market4 a. % #. ;+ . 2;+ d. it is im*ossi#le to tell e. !o!e of the a#ove
3.
of the follo"i!- a! e*lai! a o!ta!-o4 the i!terest rate eeeds the divide!d ield the ost of arr is !e-ative futures *ries eeed for"ard *ries t he m arket is at less tha! full arr !o!e of the a#ove
$.
0hih a. #. . d. e.
o!e of the follo"i!- o!ditio!s is suffiie!t for futures *ries to eeed for"ard *ries4 it is o!e da *rior to e*iratio! for"ard rates e6ual future s*ot rates i!terest rates are o!sta!t futures *ries are *ositivel orrelated "ith i!terest rates !o!e of the a#ove
'.
If futures *ries are #elo" s*ot *ries8 "e sa that a. s*ot *ries are e*eted to fall #. there is #ak"ardatio! . there is a risk *remium *aid # lo!- hed-ers d. the market is at full arr e. !o!e of the a#ove
1%.
, market i! "hih the futures *rie eeeds the s*ot *rie is a. a o!ta!-o #. a #ak"ardatio! . a! ar#itra-e o**ortu!it d. risk2free e. !o!e of the a#ove 1-23
Co*ri-ht 7 (%%1 # Harourt8 I!
11.
1(.
, o!ve!ie!e ield is a. a retur! ear!ed for deliveri!- a -ood o! time #. the ost of arr mi!us the risk2free rate . a retur! ear!ed for holdi!- a -ood i! short su**l d. the ield o! a! asset that is eas to a6uire e. !o!e of the a#ove
1+.
, o!ta!-o market is o!siste!t "ith a. a !e-ative #asis #. futures *ries eeedi!- s*ot *ries . a *ositive ost of arr d. all of the a#ove e. !o!e of the a#ove
1/.
0hih of the follo"i!- situatio!s "ould #e most o!siste!t "ith !o risk *remium4 a. there is !o hed-i! #. there is a !e-ative ost of arr . futures are mis*ried d. all of the a#ove e. !o!e of the a#ove
1&.
Su**ose there is a risk *remium of ;%.&%. The s*ot *rie is ;(% a!d the futures *rie is ;((. 0hat is the e*eted s*ot *rie at e*iratio!4 a. ;(1.&% #. ;((.&% . ;(%.&% d. ;(/.&% e. !o!e of the a#ove
1).
If hed-ers are *redomi!a!tl short the ommodit8 "hat a! "e sa a#out the risk *remium4 a. it "ould #e *ositive #. it "ould eeed the ost of arr . it "ould #e !e-ative d. it "ould #e 5ero e. !o!e of the a#ove
13.
0hat "ould #e the s*ot *rie if a stok i!de futures *rie "ere ;3&8 the risk2free rate "ere 1% *ere!t8 the divide!d ield + *ere!t8 a!d the futures e*ires i! three mo!ths4 a. ;3+.3% #. ;33./$ . ;3(.)% d. ;3).+( e. !o!e of the a#ove
1$.
If i!terest rates "ere o!sta!t a!d ou #ou-ht o!e t"o2da for"ard o!trat8 ho" ma! futures o!trats should ou sell to eeute a risk2free hed-e4 r is the o!e2da i!terest rate. a. % #. 1 r . 1 d. 191 r e. !o!e of the a#ove 1-24
Co*ri-ht 7 (%%1 # Harourt8 I!
1'.
(%.
(1.
((.
Su**ose it is urre!tl ?ul. The Se*tem#er futures *rie is ;)% a!d the @eem#er futures *rie is ;)$. 0hat does the s*read of ;$ re*rese!t4 a. the ost of arr from ?ul to Se*tem#er #. the e*eted risk *remium from ?ul to Se*tem#er . the ost of arr from Se*tem#er to @eem#er d. the e*eted risk *remium from Se*tem#er to @eem#er e. !o!e of the a#ove 0h is the i!itial value of a futures o!trat 5ero4 a. the futures is immediatel marked2to2market #. ou do !ot *a a!thi!- for it . the #asis "ill o!ver-e to 5ero d. the e*eted *rofit is 5ero e. !o!e of the a#ove The s*ot *rie *lus the ost of arr e6uals a. the o!ve!ie!e ield #. the e*eted future s*ot *rie . the risk *remium d. the futures *rie e. !o!e of the a#ove isk *remiums are likel to eist i! "hat ki!d of market4 a. o!e "ith !o hed-ers #. o!e "ith o!l s*eulators . o!e "ith ma! hed-ers d. o!e "ith o!ta!-o e. !o!e of the a#ove
(+.
If the three>ear s*ot rate is 1/ *ere!t a!d the o!e>ear s*ot rate is 1( *ere!t8 "hat is the for"ard rate for t"o>ear loa!s i! o!e ear4 a. +(.($ *ere!t #. 1&.%1 *ere!t . (.(' *ere!t d. 1+ *ere!t e. !o!e of the a#ove
(/.
If the 1$%>da s*ot of '.& a!d a '%>da futures e*iri!- i! 1$% das im*lies a ield of 1%.$8 "hat is the estimated rate o! a (3%>da s*ot tra!satio!4 a. &.+( *ere!t #. '.'+ *ere!t . 1%.% *ere!t d. 3.() *ere!t e. !o!e of the a#ove
(&.
The ost of arr o!sists of all the follo"i!- ee*t a. the risk>free rate #. the ost of stora-e . i!sura!e o! the asset d. the risk *remium e. !o!e of the a#ove
1.
, short a. #. . d. e.
(.
,! a!tii*ator hed-e is o!e i! "hih a. the #asis is e*eted to fall #. the hed-er e*ets to make a *rofit o! the futures
CHAPTER 1!: FUTURES HEDGING STRATEGIES
hed-e is o!e i! "hih the mar-i! re6uireme!t is "aived the hed-er is short futures t he hed-er is short i! the s*ot market the futures *rie is lo"er tha! the s*ot *rie !o!e of the a#ove
1-25
Co*ri-ht 7 (%%1 # Harourt8 I!
. d. e.
the s*ot *ositio! "ill #e take! i! the future all of the a#ove !o!e of the a#ove
+.
, stre!-the!i! - of the #asis mea!s a. the s*ot *rie rises more tha! the futures *rie #. the futures *rie falls more tha! the s*ot *rie . a short hed-er #e!efits d. all of the a#ove e. !o!e of the a#ove
/.
, hed-e i! "hih the asset u!derli!- the futures is !ot the asset #ei!- hed-ed is a. a ross hed-e #. a! o*timal hed-e . a #asis hed-e d. a mi!imum varia!e hed-e e. !o!e of the a#ove
&.
0he! the futures e*ires #efore the hed-e is termi!ated a!d the hed-er moves i!to the !et futures e*iratio!8 it is alled a. s*readi!- the hed-e #. rolli!- the hed-e for"ard . o*timall "ei-hti!- the hed-e d. all of the a#ove e. !o!e of the a#ove
).
The duratio! of the futures o!trat used i! the *rie se!sitivit hed-e ratio is a. the duratio! of the s*ot #o!d #ei!- hed-ed usi!- the futures *rie i!stead of the s*ot *rie #. the duratio! of the delivera#le #o!d usi!- the s*ot *rie . the duratio! of the delivera#le #o!d usi!- the futures *rie d. the duratio! of the overall #o!d *ortfolio f. !o!e of the a#ove
3.
0hih a. #. . d. e.
$.
0hih of the follo"i!- measures is used i! the *rie se!sitivit hed-e ratio for #o!d futures4 a. #eta #. duratio! . orrelatio! d. varia!e e. !o!e of the a#ove
'.
Su**ose ou #u a! asset at ;&% a!d sell a futures o!trat at ;&+. 0hat is our *rofit at e*iratio! if the asset *rie -oes to ;/'4 I-!ore arri!- osts a. 2;1 #. 2;/ . ;+ d. ;/ e. !o!e of the a#ove Su**ose ou #u a! asset at ;3% a!d sell a futures o!trat at ;3(. 0hat is our *rofit if8 *rior to e*iratio!8 ou sell the asset at ;3& a!d the futures *rie is ;3$4 a. 2;1 #. ;( . ;1
1%.
teh!i6ue a! #e used to om*ute the mi!imum varia!e hed-e ratio4 duratio! a!alsis *rese!t value re-ressio! all of the a#ove !o!e of the a#ove
1-26
Co*ri-ht 7 (%%1 # Harourt8 I!
11.
1(.
d. 2;) e. !o!e of the a#ove 0hih of the follo"i!- is !ot a reaso! for firms to hed-e4 a.
1-27
Co*ri-ht 7 (%%1 # Harourt8 I!
1+.
@etermi!e the o*timal hed-e ratio for Treasur #o!ds "orth ;18%%%8%%% "ith a duratio! of 1(./&8 ieldi!11.' *ere!t if the futures has a *rie of ;'%8%%%8 a duratio! of $.& ears a!d a! im*lied ield of '.& *ere!t. a. 1&.'+ #. 1).)+ . 3./( d. 11.11 e. !o!e of the a#ove
1/.
0hat is the *rofit o! a hed-e if #o!ds are *urhased at ;1&%8%%%8 t"o futures o!trats are sold at ;3(8&%% eah8 the! the #o!ds are sold at ;1/38&%% a!d the futures are re*urhased at ;3/8%%% eah4 a. 2;(8&%% #. 2;&8&%% . 2;&%% d. 2;+8%%% e. !o!e of the a#ove
1&.
1).
I! "hih of the follo"i!- situatio!s "ould ou use a short hed-e4 a. the *la!!ed *urhase of a stok #. the *la!!ed *urhase of ommerial *a*er . the *la!!ed issua!e of #o!ds d. the *la!!ed re*urhase of stok to over a short *ositio! e. !o!e of the a#ove O! the #asis of li6uidit8 the #est futures o!trat for hed-i!- short2term i!terest rates is a. Treasur #ills #. the *rime rate . ommerial *a*er d. Eurodollars e. !o!e of the a#ove If a firm is *la!!i!- to #orro" mo!e i! the s*ot market8 the rate it is tri!- to lok i! is a. the urre!t for"ard rate #. the urre!t s*ot rate . the differe!e #et"ee! the s*ot rate a!d the for"ard rate d. the for"ard rate at the termi!atio! of the hed-e e. !o!e of the a#ove 0hat reaso! mi-ht #e -ive! for !ot "a!ti!- to hed-e the future issua!e of a lia#ilit if i!terest rates are u!usuall hi-h4 a. t he m ar-i ! ost "ill #e e*e!sive #. ou are loki!- i! a hi-h rate . tra!satio! osts are hi-her d. futures *ries are lo"er e. !o!e of the a#ove
13.
1$.
1'.
(%.
Thou-h a ross hed-e has some"hat hi-her risk tha! a! ordi!ar hed-e8 it "ill redue risk if "hih of the follo"i!- ours4 a. futures *ries are more volatile tha! s*ot *ries #. the s*ot a!d futures o!trats are orretl *ried at the o!set . s*ot a!d futures *ries are *ositivel orrelated d. futures *ries are less volatile tha! s*ot *ries e. !o!e of the a#ove
1-28
Co*ri-ht 7 (%%1 # Harourt8 I!
(1.
0hih a. #. . d. e.
of the follo"i!- orretl e*resses the *rofit o! a hed-e4 t he #asis "he! the hed-e is losed the ha!-e i! the #asis the s*ot *rofit mi!us the futures *rofit the futures *rofit mi!us the s*ot *rofit !o!e of the a#ove
((.
0hat ha**e!s to the #asis throu-h the o!trats life4 a. it i!itiall dereases8 the! i!reases #. it i!itiall i!reases8 the! dereases . it remai!s relativel stead d. it moves to"ard 5ero e. !o!e of the a#ove
(+.
edui!- the hed-e ratio to reflet the effets of the dail settleme!t is alled a. mi!imum varia!e hed-i! #. ross hed-i!. s*read hed-i!d. taili!- the hed-e e. !o!e of the a#ove
(/.
Qua!tit risk is a. !ot k!o"i!- ho" ma! futures o!trats to use #. the u!ertai!t a#out the si5e of the s*ot *ositio! . the u!ertai!t i! estimati!- the hed-e ratio d. the diffiult i! 6ua!tifi!- hed-i!- risk e. !o!e of the a#ove
(&.
The relatio!shi* #et"ee! the s*ot ield a!d the ield im*lied # the futures *rie is alled a. the ield #eta #. the *rie se!sitivit . the tail d. the hed-e ratio e !o!e of the a#ove
1.
The tra!satio! desi-!ed to e*loit mis*rii!- i! the relatio!shi* #et"ee! futures a!d s*ot *ries is alled a. a re*urhase a-reeme!t #. a hed-e . s*eulatio! d. ash a!d arr e. !o!e of the a#ove
(.
The im*lied re*o rate is simi lar to the a. i!ter!al rate of retur! #. ost of hed-i!. ield o! the futures o!trat d. all of the a#ove e. !o!e of the a#ove
CHAPTER 11: ADVANCED FUTURES STRATEGIES
+.
/.
0hih o!e of the follo"i!- o*tio!s is !ot assoiated "ith the Treasur #o!d futures o!trat4 a. e!d2of2the2mo!th 1-29
Co*ri-ht 7 (%%1 # Harourt8 I!
#. . d. e. &.
).
3.
$.
'.
1%.
11.
1(.
s*read o*tio! "ild ard o*tio! 6ualit o*tio! !o!e of the a#ove
The tra!satio! i! "hih a Treasur #o!d futures s*read is om#i!ed "ith a Treasur #ill futures tra!satio! is alled a a. :o!d2#ill s*read #. MO: s*read . desi-!ated order tur!arou!d d. turtle trade e. !o!e of the a#ove The o**ortu!it to lok i! the i!voie *rie a!d *urhase the delivera#le Treasur #o!d later is alled a. #o!d i!sura!e #. *ro-ram tradi!. the "ild ard d. deliver ar#itra-e e !o!e of the a#ove If the futures *rie at +R%% *.m. is 1((8 the s*ot *rie is 1/(.& a!d the C< is 1.1&3&8 # ho" muh must the s*ot *rie fall # &R%% *.m. to Dustif deliver4 a. 1.($& #. 1.11%( . (%.&% d. 13.31 e. /(.'/ Ho" is the ost of a deliver o*tio! *aid4 a. the lo!- *as the short "ith a ash settleme!t #. the short *as the lo!- "ith a ash settleme!t . a hi-her losi!- futures *rie d. a lo"er losi!- futures *rie e. !o!e of the a#ove
Co*ri-ht 7 (%%1 # Harourt8 I!
#. . d. e.
over*ried # (.& over*ried # '.3) over*ried # %.)/ u!der*ried # (.&
1+.
0hih a. #. . d. e.
1/.
Aou hold a stok *ortfolio "orth ;+% millio! "ith a #eta of 1.%&. Aou "ould like to lo"er the #eta to .'% usi!- SBP &%% futures8 "hih have a *rie of /)%.(% a!d a multi*lier of &%%. 0hat tra!satio! should ou do4 ou!d off to the !earest "hole o!trat. a. sell 1+% o!trats #. sell '833$ o!trats . sell (% o!trats d. #u &%8%%% o!trats e. sell &%8%%% o!trats
1&.
If the stok i!de is at 1/$8 the three2mo!th futures *rie is 1&18 the divide!d ield is & *ere!t a!d the i!terest rate is $ *ere!t8 determi!e the *rofit from a! i!de ar#itra-e if the stok e!ds u* at 1// at e*iratio!. I-!ore tra!satio! osts. a. 1.$' #. /.%% . 3.%% d. &.11 e. 23.%%
1).
The tra!satio! i! "hih mo!e is #orro"ed # selli!- a seurit a!d *romisi!- to #u it #ak i! several "eeks is alled a a. term re*o #. over!i-ht re*o . term ar#itra-e d. MO: s*read e. !o!e of the a#ove The e!d2of2the2mo!th o*tio! is a. the ri-ht to eerise a! o*tio! o! the last da of the mo!th #. a! o*tio! e*iri!- o! the last da of the mo!th . the ri-ht to deliver duri!- the last seve! #usi!ess das of the mo!th d. a! o*tio! that trades o!l at the e!d of the mo!th e. !o!e of the a#ove
13.
of the follo"i!- is !ot a risk of *ro-ram tradi!-4 the stoks a!!ot #e simulta!eousl sold at e*iratio! fratio!al o!trats a!!ot #e *urhased or sold the divide!ds are !ot ertai! the stoks a!!ot #e *urhased simulta!eousl !o!e of the a#ove
1$.
Aou hold a #o!d *ortfolio "orth ;1% millio! "ith a ield of 1%.(& *ere!t a!d a duratio! of $.&. 0hat futures tra!satio! "ould ou do to raise the duratio! to 1% if the futures *rie is ;'+8%%%8 its duratio! is '.(& a!d its im*lied ield is 1%.%& *ere!t4 ou!d u* to the !earest "hole o!trat. a. #u 1%' o!trats #. #u 1$ o!trats . #u ))' o!trats d. sell 1%% o!trats e sell ))' o!trats
1'.
Co*ri-ht 7 (%%1 # Harourt8 I!
e.
''.&&
(%.
If ou #u #oth a +%2da Eurodollar C@ *ai!- ).3 *ere!t a!d a '%2da futures o! a '%2da Eurodollar C@ "ith a *rie im*li!- a ield of 3.( *ere!t8 "hat is our total a!!uali5ed retur!4 :oth ields are #ased o! +)%2da ears. a. 3.(& *ere!t #. 3.%3 *ere!t . 1%.1& *ere!t d. 3.3& *ere!t e. ).'& *ere!t
(1.
, delivera#le Treasur #o!d has arued i!terest of +./( *er ;1%%8 a ou*o! of '.& *ere!t8 a *rie of 1+& a!d a o!versio! fator of 1.1'&. The futures *rie is 11(.(&. 0hat is the i!voie amou!t4 a. 1+3.&) #. 1/+.)/ . 1)1.++ d. 1+/.1/ e. !o!e of the a#ove
((.
@etermi!e the o!versio! fator for deliver of the 3 19/s off Ma 1&8 (%1) o! the Marh (%%% T>#o!d futures o!trat. a. 1.((& #. %.'+( . 1.%$+ d. 1.1(3 e. 1.&%'
(+.
0hih of the follo"i!- is !ot !eeded "he! alulati!- the im*lied re*o rate for stok i!de futures4 a. futures *rie #. o!versio! fator . time>to>e*iratio! d. s*ot *rie e. !o!e of the a#ove The urre!t *rie of a stok i!de is 11&8 a!d the three>mo!th futures *rie is 113. The Euro*ea! all o! the i!de8 e*iri!- i! three mo!ths8 has a strike *rie of 1(% a!d a value of +.+%. If the risk>free rate is &8 "hat is the value of the three>mo!th 1(% Euro*ea! *ut4 a. (.') #. /.'/ . ).() d. $.(/ e. !o!e of the a#ove
(/.
(&.
0hih a. #. . d. e.
of the follo"i!- is a form of *ro-ram tradi!-4 i!de ar#itra-e "ild ard ar#itra-e tria!-ular ar#itra-e timi!- ar#itra-e !o!e of the a#ove
1.
O*tio!s a. #. . d. e.
CHAPTER 12: OPTIONS ON FUTURES
o! futures have #ee! tradi!- si!e 1'3+ 1'$( 1')) 1'+) !o!e of the a#ove
1-32
Co*ri-ht 7 (%%1 # Harourt8 I!
(.
0hat is *rie4 a. #. . d. e.
the lo"er #ou!d of a Euro*ea! all o! a futures "here f % is the futures *rie a!d = is the eerise the differe!e #et"ee! f% a!d = 5ero the *rese!t value of the differe!e #et"ee! f % a!d = the ratio of f% to = !o!e of the a#ove
+.
0hih of the follo"i!- o*tio!s o! futures "ill !ot #e eerised earl4 a. a Euro*ea! *ut o! a futures #. a! ,meria! all o! a futures . a! ,meria! *ut o! a futures d. all of the a#ove e. !o!e of the a#ove
/.
@etermi!e the a**ro*riate *rie of a Euro*ea! *ut o! a futures if the all is "orth ;).&&8 the risk2free rate is &.) *ere!t8 the futures *rie is ;$%8 the eerise *rie is ;3&8 a!d the e*iratio! is i! three mo!ths. a. ;1(.&) #. ;%.&/ . ;11./$ d. ;1.)( e. !o!e of the a#ove
&.
).
3.
$.
'.
1%.
The :lak o*tio! o! futures *rii!- model is e6uivale!t to the :lak2Sholes model u!der "hih of the follo"i!- o!ditio!s4 a. the o*tio! a!d futures e*ire simulta!eousl #. the futures is *ried # the ost of arr . the o*tio! o! futures is Euro*ea! d. all of the a#ove e. !o!e of the a#ove , dee* i!2the2mo!e all o*tio! o! futures is eerised earl #eause a. the i!tri!si value is maimi5ed 1-33
Co*ri-ht 7 (%%1 # Harourt8 I!
11.
1(.
1+.
1/.
1&.
1).
#. it #ehaves like a futures #ut ties u* fu!ds . the futures *rie is !ot likel to rise a! further d. all of the a#ove e. !o!e of the a#ove
13.
1$.
The delta of a all o*tio! o! a futures is e6ual to the delta of a all o*tio! o! the s*ot times a. the *rese!t value fator for the risk2free rate a!d time to e*iratio! 1-34
Co*ri-ht 7 (%%1 # Harourt8 I!
#. . d. e.
o!e the futures *rie the eerise *rie !o!e of the a#ove CHAPTER 14: INTEREST RATE DERIVATIVES
1.
(.
+.
/.
&.
).
3.
$.
, firm #orro"s ;(% millio! from its #a!k a!d a-rees to make *ame!ts ever '% das at the #e-i!!i!- of the *eriod at LI:O8 "hih is urre!tl 1%.& *ere!t. It arra!-es a! i!terest rate s"a*8 a-reei!- to make fied *ame!ts ever '% das at a rate of 1+ *ere!t a!d reeive floati!- *ame!ts ever '% das at a rate of LI:O mi!us 1%% #asis *oi!ts. @etermi!e the !et ash flo" o! its first *ame!t from the s"a* o!l. a. a! outflo" of ;&(&8%%% #. a! i!flo" of ;/3&8%%% . a! outflo" of ;13&8%%% d. a! outflo" of ;)&%8%%% e. !o!e of the a#ove @etermi!e the value of a! i!terest rate all o*tio! at the maturit of a loa! if the all has a strike of 1( *ere!t8 a fae value of ;&% millio!8 the loa! matures '% das after the all is eerised8 the all e*ires i! )% das8 the all *remium is ;(%%8%%%8 a!d LI:O e!ds u* at 1+ *ere!t. a. ;1(&8%%% #. ;$+8+++ . ;(%$8%%% d. 2;3&8%%% e. !o!e of the a#ove , #a!k makes a ;& millio! 1$%2da *ure disou!t loa! at LI:O of ' *ere!t. ,t the same time8 ho"ever8 it eerises a! i!terest rate *ut that has a strike of 11 *ere!t.
Co*ri-ht 7 (%%1 # Harourt8 I!
'.
1%.
11.
1(.
a. fi!di!- the !e" floati!- rate #. assumi!- that t he market value "ill -o to *ar o! the !et *ame!t date . fi!di!- its *rese!t value usi!- the fied rate as the disou!t rate d. fi!di!- its urre!t market value a!d om*ou!di!- it to the !et ou*o! date e. !o!e of the a#ove 0hih of the follo"i!- "as of termi!ati!- a! i!terest rate s"a* a! #e do!e o!l if a**roved # the ou!ter*art4 a. eerisi!- a! o*tio! "ith the ou!ter*art #. sale or assi-!me!t to a!other ou!ter*art . reversal or offset d. all of the a#ove e. !o!e of the a#ove S"a*tio!s are like for"ard s"a*s i! "hih of the follo"i!- "as a. :oth are free of redit risk #. :oth re6uire the eeutio! of a s"a* at e*iratio! . The have the same *rie d. :oth are traded o! s"a*tio! eha!-es e. !o!e of the a#ove
1+.
,! <, differs from a! i!terest rate s"a* i! "hih of the follo"i!- "as4 a. ,! <, has more redit risk #. <,s are federall re-ulated . Traditio!all the *ame!t i! a! <, is delaed d. <,s are used o!l # #a!ks a!d s"a*s are used o!l # or*oratio!s e. !o!e of the a#ove
1/.
0hih a. #. . d. e.
1&.
1).
I!terest rate s"a* *ame!ts are made
of the follo"i!- i!formatio! is !ot re6uired to determi!e a s"a*tio! *aoff at e*iratio!4 the eerise rate the term struture of 5ero ou*o! rates at the s"a*tio! e*irat io! t he m aturit of the u!derli!- s"a* the ield o! a #o!d of e6uivale!t maturit as the s"a* !o!e of the a#ove
1-36
Co*ri-ht 7 (%%1 # Harourt8 I!
a. #. . d. e. 13.
1$.
1'.
(%.
(1.
o! the last da of the 6uarter o! the first da of eah mo!th at "hatever dates are a-reed u*o! # the ou!ter*arties o! the 1&t h of the a-reed2u*o! mo!ths !o!e of the a#ove
,! i!terest rate s"a* is e6uivale!t to "hih of the follo"i!- tra!satio!s a. a series of <,s #. the *urhase of a stok a!d sale of a #o!d . #orro"i!- mo!e at o!e floati!- rate a!d le!di!- it at a!other d. all of the a#ove e. !o!e of the a#ove 0hih of the follo"i!- strate-ies is a**ro*riate if ou e*et i!terest rates to i!rease4 a. a *a2fied8 reeive2floati !- s"a* #. a short i!terest rate all . a short for"ard rate a-reeme!t d. all of the a#ove e. !o!e of the a#ove Com*a!ies use i!terest rate s"a*s for all of the follo"i!- reaso!s ee*t a. to o!vert floati!- rate loa!s to fied rate loa!s #. to alter the *atter!s of asset ash flo"s . to o!vert fied rate loa!s to floati!- rate loa!s d. to save le-al a!d *a*er"ork osts e. !o!e of the a#ove 0hih of the follo"i!- is the fied rate o! a t"o2ear s"a* if o!e2ear LI:O is ) *ere!t a!d t"o2ear LI:O is 3 *ere!t4 Use +)% das i! disou!ti!-. a. ).3& *ere!t #. ).%% *ere!t . 3.%% *ere!t d. 3.+& *ere!t e. !o!e of the a#ove , firm e!tered i!to a! i!terest rate s"a* to *a a fied rate of & *ere!t a!!uall for t"o ears. It is !o" !i!e mo!ths i!to the s"a*. The three2mo!th rate is $ *ere!t a!d the 1&2mo!th rate is $.& *ere!t. The u*omi!- floati!- *ame!t is at the rate &. ( *ere!t. 0hih of the follo"i!- is the value of the s"a* *er ;1 !otio!al *ri!i*al. ,ll rates are LI:O a!d use +)% das i! disou!ti!-. a. %.%++( #. %.%+1/ . 2%.%%1$ d. 1.%%%% e. !o!e of the a#ove
((.
0hih a. #. . d. e.
of the follo"i!- stateme!ts a#out i!terest rate o*tio!s a!d9or i!terest rate s"a*s is true4 i!terest rate s"a*s as "ell as a*s a!d floors *a off o! the date o! "hih the rate is determi!ed a om#i!atio! of i!terest rate a*s is e6uivale!t to s a s"a* i!terest rate a*s a!d floors adhere to *ut2all *arit if there is o!l a si!-le e*iratio! a lo!- all a!d short *ut "ith the same strike rate set at the s"a* rate re*liates a s"a* !o!e of the a#ove
(+.
, *aer s"a*tio! is e*iri!-. The u!derli!- s"a* has a t"o ear maturit. Th e *rese!t value fators are .'(&' o!e ear a!d .$)&1 t"o ears. The strike rate is 3 *ere!t. 0hat is the value of the s"a*tio! *er ;1 !otio!al *ri!i*al. a. %.%%%%8 si!e it is out2of2the2mo!e #. 1.%%%% . %.%3&+ d. %.%%'& e. !o!e of the a#ove
(/.
To determi!e the fied rate o! a s"a*8 ou "ould 1-37
Co*ri-ht 7 (%%1 # Harourt8 I!
(&.
a. use *ut2all *arit #. *rie it as the issua!e of a fied rate #o!d a!d *urhase of a floati!- rate #o!d or vie versa . use the same fied rate as that of a 5ero ou*o! #o!d of e6uivale!t maturit d. all of the a#ove methods are e6uivale!t e. !o!e of the a#ove ,ll of the follo"i!- are uses of s"a*tio!s ee*t a. to s*eulate o! i!terest rates #. to -ive a firm flei#ilit i! future #orro"i!-s . to #orro" mo!e d. to reate alla#le from !o!2alla#le #o!ds e. !o!e of the a#ove
CHAPTER 15: ADVANCED DERIVATIVES AND STRATEGIES
,!s"er 6uestio!s 1 throu-h ) a#out i!suri!- a *ortfolio ide!tial to the SBP &%% "orth ;1(8&%%8%%% "ith a three2 mo!th hori5o!. The risk2free rate is 3 *ere!t. Three2mo!th T2#ills are availa#le at a *rie of ;'$.)/ *er ;1%% fae value. The SBP &%% is at +$&. Puts "ith a! eerise *rie of +'% are availa#le at a *rie of 1+. Calls "ith a! eerise *rie of +'% are availa#le at a *rie of 1+.1(&. ou!d off our a!s"ers to the !earest i!te-er. 1.
0hat is the mi!imum value of the i!sured *ortfolio4 a. ;1)8)3(8+// #. ;1(8&%%8%%% . ;1(8%'183%' d. ;1(8(//8$'$ e. ;1+8+3&8%%%
(.
Ho" ma! *uts should #e used to i!sure this *ortfolio4 a. 1((8&$/ #. +18+'3 . )(8$1/ d. ')18&+$ e. +(8/)$
+.
If the SBP &%% e!ds u* at /%18 determi!e the u*side a*ture. a. ').3 *ere!t #. ') *ere!t . ''.+ *ere!t d. '/ *ere!t e. 1%% *ere!t
/.
If the i!sured *ortfolio o!sisted e!tirel of alls a!d T2#ills8 ho" ma! "ould #e used4 a. 1'81/+ alls a!d 1(/813) T2#ills #. +18+'3 alls a!d 1((8//' T2#ills . '++8(+$ alls a!d (8&/3 T2#ills d. +18/%3 alls a!d 11'8''3 T2#ills e. +(8/)$ alls a!d +(8/)$ T2#ills If the i!sured *ortfolio "ere d!amiall hed-ed "ith stok i!de futures8 ho" ma! futures "ould #e used4 The all delta is .&( a!d the o!ti!uous risk2free rate is &./$ *ere!t. Eah futures has a multi*lier of &%% a!d a *rie of +$$.)&. a. )% #. )/ . +% d. +( e. !o!e of the a#ove If the i!sured *ortfolio "ere d!amiall hed-ed "ith T2#ills8 ho" ma! T2#ills "ould #e used4 a. 1)8++( #. )+8%%( . 1()83(+ d. )18)3( e. +(8/)$
&.
).
1-38
Co*ri-ht 7 (%%1 # Harourt8 I!
3.
Su**ose a firm offers a! e6uit2li!ked seurit. The fae value is ;1 millio! a!d its *aoff is #ased o! a! a**reiatio! i! a! e6uit i!de urre!tl at $&&.&%. It has determi!ed that of the ;1 millio! raised8 it a! struture the o*tio! om*o!e!t so that its value is ;1+&8%%%. Curre!tl a! at2the2mo!e all o*tio! is "orth ;1(&. 0hat *ere!ta-e of the -ai! i! the i!de a! it offer4 a. '( #. 1%% . &% d. $.(+ e. !o!e of the a#ove
$.
Su**ose a! i!vestor a-rees to s"a* the SBP &%% retur! for the ussell (%%% small2stok retur!. The SBP &%% i!reases from /&%.'1 to /&).)% "hile the ussell (%%% i!reases from ()%.3+ to ()(.$(. 0hat "ould #e the i!vestors ash flo" o! a !otio!al *ri!i*al of ;1& millio!. a. ;)'8%/& #. ;1&81(%8(+' . 2;1&81$'8($/ d. 2;)'8%/& e. !o!e of the a#ove
'.
0hih of the follo"i!- stateme!ts a#out mort-a-e2#aked seurit stri*s is true4 a. #oth i!terest2o!l a!d *ri!i*al2o!l stri*s are su#Det to *re2*ame!t risk #. o!l *ri!i*al2o!l stri*s are su#Det to *re*ame!t risk . o!l i!terest2o!l stri*s are su#Det to *re*ame!t risk d. the *re*ame!t risk of i!terest2o!l a!d *ri!i*al2o!l stri*s is *reisel offsetti!e. !o!e of the a#ove , hooser o*tio! is similar to "hat other t*e of o*tio! strate- a. *ut2all *arit #. a overed all . a *rotetive *ut d. a om#i!atio! #ull a!d #ear s*read e. !o!e of the a#ove The !um#er of *ossi#le fi!al avera-e *ries i! a! ,sia! o*tio! for a four *eriod #i!omial model is a. $ #. / . 1) d. +( e. !o!e of the a#ove , look#ak all o*tio! *rovides the ri-ht a. to ha!-e the stok o! "hih the o*tio! is "ritte! #. to #u the stok at its lo"est *rie over the o*tio!s li fe . to i!sure a stok a-ai!st loss d. to ha!-e our mi!d a#out the eerise *rie e. !o!e of the a#ove If the stok *rie is urre!tl +)8 the eerise *rie is +& a!d the stok e!ds u* at //8 the value of a! asset2 or2!othi!- o*tio! at e*iratio! is a. +& #. $ . ' d. // e. !o!e of the a#ove 0hih of the follo"i!- is harateristi of a #asis s"a*4 a. o!e *art *as a floati!- rate a!d the other *as a fied rate #. o!e *art *as the #asis o! a futures tra!satio! . eah *art *as a floati!- rate d. at least o!e *arts *ame!ts is #ased o! a! o*tio! retur! e. !o!e of the a#ove
1%.
11.
1(.
1+.
1/.
1&.
,! e6ui t for"ard o!t rat is a. a for"ard o!trat o! LI:O seured # a stok as ollateral 1-39
Co*ri-ht 7 (%%1 # Harourt8 I!
#. . d. e. 1).
13.
1$.
1'.
(%.
a futures o!trat o! a stok i!de t hat is !ot marked2to2market a all o*tio! o! a stok "ith -reater do"!side risk tha! a! ordi!ar all a for"ard o!trat "hose *aoff is determi!ed # a stok or i!de !o!e of the a#ove
, seurit that *as off the retur! from a om#i!atio! of mort-a-es is alled a a. homeo"!ers e6uit laim #. mort-a-e *ortfolio . mort-a-e o*tio! d. mort-a-e2#aked seurit e. !o!e of the a#ove ,sia! o*tio!s are also alled a. avera-e *rie o*tio!s #. Paifi o*tio!s . i!stallme!t o*tio!s d. !o2re-rets o*tio!s e. !o!e of the a#ove 0hih of the follo"i!- stateme!ts is orret a#out ash2or2!othi!- o*tio!s a. t he are su#Det to !o redit ri sk #. the must #e *ried # the #i!omial model . the have lo"er u*side -ai!s a!d lo"er do"!side losses tha! ordi!ar o*tio!s d. the are e6uivale!t to short *ositio!s i! asset2or2!othi!- o*tio!s e. !o!e of the a#ove , o!sta!t maturit s"a* has "hih of the follo"i!- harateristis a. the s"a* maturit is held o!sta!t at a fied !um#er of ears #. the floati!- *ame!t is usuall #ased o! the rate o! a Treasur !ote . the s"a* alls for all *ame!ts to #e made at its maturit d. the floati!- *ame!t a!d the maturit are #oth o!sta!t e. !o!e of the a#ove , ra!-e floater is a seurit "ith "hih of the follo"i!- harateristis a. the *ame!ts ra!-e from a -ive! maimum to a -ive! mi!imum #. the maturit is limited to a fied ra!-e . its *ame!ts are #ased o! "hether the rate stas "ithi! a ra!-e d. all of the a#ove e. !o!e of the a#ove
(1.
, seurit that is su#2divided i!to seurities alled tra!hes is alled a a. *ri!i*al2o!l stri* #. asia! look#ak o*tio! . ra!-e mort-a-e stri* d. ollaterali5ed m ort-a-e o#li-at io! e. !o!e of the a#ove
((.
0hih a. #. . d. f.
(+.
0hih of the follo"i!- is a reaso! for usi!- e6uit s"a*s a. to realloate a stok *ortfolio amo!- asset lasses #. to s*eulate o! the *erforma!e of a stok or i!de . to avoid the tra!satio! ost of tradi!- i! i!dividual stoks d. all of the a#ove e. !o!e of the a#ove
(/.
0hih of the follo"i!- #est desri#es the ost of *ortfolio i!sura!e4 a. the mar-i! *ut do"! o! the futures o!trat
of the follo"i!- is a *ath2i!de*e!de!t o*tio! a fied strike ,sia! all o*tio! a sta!dard Euro*ea! all o*tio! a! u*2a!d2out all o*tio! a! ,meria! *ut o*tio! !o!e of the a#ove
1-40
Co*ri-ht 7 (%%1 # Harourt8 I!
#. . d. e. (&.
0hih a. #. . d. e.
the -ai! -ive! u* "he! t he stok moves u* the differe!e #et"ee! the all a!d *ut *ries all of the a#ove !o!e of the a#ove of the follo"i!- is !ot a t*e of strutured !ote4 ra!-e floater i!verse floater diff floater reverse floater !o!e of the a#ove
CHAPTER 16: FINANCIAL RISK MANAGEMENT
1.
isk ma!a-eme!t e!om*asses all of the follo"i!- ee*t a. determi!i!- a firms atual level of risk #. determi!i!- a firms desired level of risk . setti!- *oliies a!d *roedures d. mo!itori!- our *ositio! after2the2fat e. !o!e of the a#ove
(.
Market a. #. . d. e.
risk is "hih of the follo"i!the risk assoiated "ith faili!- to *ro*erl reord market tra!satio!s the risk that a dealer "ill lose market share to a om*eti!- dealer the risk assoiated "ith moveme!ts i! suh fators as i!terest rates a!d eha!-e rates the risk of the -over!me!t delari!- a tra!satio! ille-al !o!e of the a#ove
+.
0hat is the reaso! for u!dertaki!- a -amma hed-e4 a. -over!me!t re-ulatio! #. the *ossi#ilit of ou!ter*art default . ha!-es i! volatilit d. l ar-e moveme!ts i ! the u!derli!e. !o!e of the a#ove
/.
0hih of the follo"i!- is the i!ter*retatio! of a , of ;& millio! for o!e ear at .%&. a. the *ro#a#ilit is .%& that the firm "ill lose at least ;& millio! i! o!e ear #. the *ro#a#ilit is at least .%& that the firm "ill lose ;& mil lio! i! o!e ear . the *ro#a#ilit is .%& that the firm "ill lose ;& millio! i! o!e ear d. the *ro#a#ilit is less tha! .%& that the firm "ill lose ;& millio! i! o!e ear e. !o!e of the a#ove 0hih of the follo"i!- are !ot methods of determi!i!- the ,4 a. simulatio! method #. historial method . estimatio! method d. a!altial method e. !o!e of the a#ove
&.
).
3.
0hih of the follo"i!- methods are !ot used to redue redit risk4 a. delta2-amma2ve-a hed-i! #. ollateral . marki!- to market d. limiti!- the amou!t of #usi!ess ou do "ith a *art e. !o!e of the a#ove 0hih of the follo"i!- are t*es of risks faed # a derivatives dealer4 a. ta risk #. o*eratio!al risk . aou!ti!- risk d. le-al risk e. !o!e of the a#ove
1-41
Co*ri-ht 7 (%%1 # Harourt8 I!
$.
0hat does !etti!- *ermi t a firm to do4 a. su#trat losses from *rie i!reases from losses from *rie dereases #. !et its tra!satio!s "ith a -ive! ou!ter*art a-ai!st eah other . !et all of its -ai!s a-ai!st all of its losses d. all of the a#ove e. !o!e of the a#ove
'.
Sstemi risk is a. the risk of a failure of the e!tire fi!a!ial sstem #. the risk assoiated "ith #road market moveme!ts . the risk of a failure of a firms fi!a!ial risk ma!a-eme!t sstem d. the risk of lar-e *rie moveme!ts throu-hout the fi!a!ial sstem e. !o!e of the a#ove JI!de*e!de!t risk ma!a-eme!t mea!s "hih of the follo"i!-4 a. that risk ma!a-eme!t of a firm is i!de*e!de!t of its overall or*orate *oli deisio!s #. that the risk ma!a-eme!t fu!tio! is *rovided # a! outside o!sulti !- firm . that the risk ma!a-er a!!ot #e i!flue!ed # the traders d. that the risk ma!a-er is i!de*e!de!t of the firms se!ior ma!a-ers e. !o!e of the a#ove E!d users are all of the follo"i!- t*es of or-a!i5atio!s except 4 a. i!vestme!t fu!ds #. !o!2fi!a!ial or*oratio!s . -over!me!ts d. fi!a!ial i!stitutio!s e. !o!e of the a#ove 0hat is the *rimar ativit of a firms fro!t offie4 a. risk ma!a-eme!t #. tradi!. *rii!- derivative *roduts d. auditi!e. !o!e of the a#ove
1%.
11.
1(.
1+.
, total retur! s"a* is #est desri#ed as a. , s"a* i! "hih the *ame!ts i!lude o!l a*ital -ai!s #. a s"a* i! "hih the total retur! o! a stok i!de is s"a**ed for the total retur! o! a #o!d . a s"a* i! "hih the retur! o! o!e #o!d is s"a**ed for some other *ame!t d. a s"a* desi-!ed to su#stitute for a #asis s"a* e. !o!e of the a#ove
1/.
0hih a. #. . d. e.
of the follo"i!- #est desri#es a redit default s"a*4 it is *roteted a-ai!st default it has a hi-her rate to om*e!sate for the *ossi#ilit of o!e *art defaulti!it arries a hi-her redit rati!- tha! most other s"a*s it off if a!other *art eter!al to the s"a* defaults !o!e of the a#ove
1&.
0hih a. #. . d. e.
of the follo"i!- stateme!ts is !ot true a#out a redit s*read o*tio!4 it is a! o*tio! o! the s*read of a #o!d over a refere!e #o!d its value "ould ha!-e "ith ha!-es i! i!vestors *ere*tio!s of a *arts redit 6ualit it re6uires *ame!t of a *remium u* fro!t it re6uires that the u!derli!- #o!d #e relativel li6uid !o!e of the a#ove
1).
0hih a. #. . d.
of the follo"i!- forms of hed-i!- re6uires the use of o*tio!s4 delta hed-i!ve-a hed-i!-amma hed-i!redit risk hed-i!1-42
Co*ri-ht 7 (%%1 # Harourt8 I!
e.
!o!e of the a#ove
13.
If a firm e!-a-es i! risk ma!a-eme!t to a*ture ar#itra-e *rofits8 "hat is it eas to overlook4 a. t he addit io!al redit risk it assumes #. the ost is -reater tha! the #e!efit . the market risk is hi-h d. all of the a#ove e. !o!e of the a#ove
1$.
@erivatives dealers *rimaril o!dut derivatives tra!satio!s for "hih of the follo"i!- reaso!s4 a. to e!ha!e the retur!s o! their other i!vestme!t tra!satio!s #. to *rofit off of their a#ilit to eeute trades at the ri-ht time . to *rofit off of their market maki!- servies d. to *rovide servies to e!ha!e the overall attrative!ess of their *rodut li!e f. !o!e of the a#ove
1'.
The risk that errors a! our i! i!*uts to a *rii!- model is alled a. i!*ut risk #. model risk . *rii!- risk d. valuatio! risk e. !o!e of the a#ove
(%.
Hed-e aou!ti!- is "hih of the follo"i!-4 a. desri#i!- all hed-es i! foot!otes to aou!ti!- stateme!ts #. deferri!- all reordi!- of hed-e *rofits a!d losses u!til the hed-e is over . assoiati!- the derivative *rofit or loss "ith the i!strume!t #ei!- hed-ed d. all of the a#ove e. !o!e of the a#ove
(1.
0hih a. #. . d. e.
of the follo"i!- stateme!ts is !ot true a#out fair value hed-es4 it re6uires a method of determi!i!- the fair value of the derivative it defers reo-!itio! of all *rofits a!d losses u!til the hed-e is termi!ated it "ill ause ear!i!-s to flutuate if hed-es are !ot effetive it re6uires *ro*er doume!tat io! !o!e of the a#ove
((.
0hih a. #. . d. e.
of the follo"i!- stateme!ts is !ot true a#out fair value hed-es4 it re6uires ide!tifiatio! of the effetive a!d i!effetive *arts derivatives *rofits a!d losses are tem*oraril arried i! a! e6uit aou!t it re6uires *ro*er doume!tat io! o!l dealer firms are eli-i#le to use it !o!e of the a#ove
(+.
0hih of the follo"i!- methods is !ot *ermitted to satisf the SECs re6uireme!ts for dislosure of derivatives ativit4 a. a! e*l a!at io! i! the hai rma!s letter #. a alue2at2isk fi-ure . a se!sitivit a!alsis d. a ta#le of market values a!d related terms e. !o!e of the a#ove
(/.
0hih a. #. . d. e.
of the follo"i!- i!strume!ts ould #e used to eeute a delta8 -amma a!d ve-a hed-e4 a s"a* a! o*tio! a futures a! <, !o!e of the a#ove 1-43
Co*ri-ht 7 (%%1 # Harourt8 I!