S ɪs ALLYS
Sivu
Ljohdanto...........................................................................................................................ι
2. Optiokaupan peruskàsitteet, Historia ja teoreettiset rajaehdot . 6
2.1 Optioiden peruskâsitteitâ...................................................................................................6
2.2 Optiokaupan Kistoriaja Suomenjohdannaismarkkinat.....................................................8
2.3 Optioiden teoreettiset rajaehdot ja niiden toteutuminen Suomessa.................................IO
2.3.1 Yleistarajaehdoista...................................................................................................10
2.3.2 Rajaehdot eurooppalaisille indeksioptioille..............................................................11
2.3.3 Rajaehtojen toteutuminen Suomalaisilla Indeksioptiomarkkinoilla..........................15
2.3.3.3 Puttosen tutkimus vuodelta 1992........................................................................19
3. B LACK-S CHOLES-MALLI OPTIOIDEN TEOREETTISTEN ARVOJEN
MÀÀRITTÀJÀNÀ...................................................................................................................22
3.1 Optioiden hinnoittelumallien historia ennen BS-maliia..................................................22
3.2 Mallin perusmuoto, parametrit ja Ominaisuudet..............................................................23
3.2.1 BS-mallin Ominaisuudet............................................................................................27
3.2.1.1 BS-mallin Osittaisderivaatat suhteessa kohde-etuuden hintaan, Iunastushintaanja
maturiteettiin osto-option tapauksessa............................................................................27
3.2.2.2 Joitain raja-arvoja osto-option hinnalle..............................................................28
3.3 BS-mallin Oletusten realistisuus nykyisten markkinoiden kannalta - havaintoja
markkinoilta ja Iaajennuksia malliin.....................................................................................29
3.3.1 Kohde-etuudelle maksettavat osingot ja B76-malli..................................................31
4. Stokastinen Volatiliteetti optioiden hinnoπteluss a ja empπrinen
Tutkimusongelma..........................................................................................................35
4.1 Perinteiset Volatilitettiestimaattorit..................................................................................35
4.1.1 Historiallinen Volatiliteetti........................................................................................35
4.1.2 Implisiittinen Volatiliteetti.........................................................................................36
4.2. Stokastisen VolatiIiteetin maarittâminen........................................................................37
4.2.1 Wigginsin tutkimus vuodelta 1987...........................................................................38
4.2.2 Hullinja Whiten tutkimus vuodelta 1987.................................................................39
4.2.3 Coxja Ross - malli....................................................................................................40
4.2.4 ARCH-ja GARCH-mallit Stokastisen Volatiliteetin mâarittâjinâ.............................41
4.3 Ncuben tutkimus vuodelta 1996......................................................................................43
4.4 Empiirinen tutkimusongelma ja kaytettâvâ aineisto........................................................46
4.4.1 Tutkimusongelmasta.................................................................................................46
4.4.2 FOX-indeksioptiot- ja termiinit................................................................................47
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