Kaavassa (L2.11) on kâytetty apuna normaalijakauman tiheysfunktiota ja yhtâiossâ (L2.8)
olleen maksimointifunktion termit on kerrottu diskonttotekijâllâ exp(-rT). Yhtalon (L2,11)
viimeinen rivi voidaan vielà kehittâa Seuraavasti
(L2.12) Sexp(-rT) f —r~ exp(--~)dx -
,i 2 σ∖2πT 2cτ7^
Л. 2
Sexp(-rT) Probfx > -log(S∕K) -(r-σ2∕2)T] =
ς r TAD M x ∣og(S∕∕0 + (r-σ2∕2)7'
Sexp(-rT) Probf--7= <-----------τ=---------]=
σ√ 1 σd l
Sexp(-rT)N[- log(5∕^) + (r~σ3∕2)71 ]
σjτ
Merkinta N[.] viittaa Standardoituun normaalijakauman kertymâfunktioon. Myos toinen rivi
yhtàlôstâ (L2.11) voidaan kehittâa hiukan toisenlaiseen muotoon
1 X * ɔ
(l2∙13)s ∫ —≡=veχP(-τ-⅛--^ + x)a⅛ =
c j , σ√2τr7 2σ"/ 2
6 σ
" ɪog(- )-('ʃ-


........-,r. (x~
2σ~T
- 2xσ2 T + σ4 T2 )]√x =

1 r (x-σ2Γ)21j
—7= exp [.. Их
σ-χ∣2πT 2σ2T
More intriguing information
1. The name is absent2. Heterogeneity of Investors and Asset Pricing in a Risk-Value World
3. Chebyshev polynomial approximation to approximate partial differential equations
4. Qualification-Mismatch and Long-Term Unemployment in a Growth-Matching Model
5. Ultrametric Distance in Syntax
6. Manufacturing Earnings and Cycles: New Evidence
7. Imitation in location choice
8. The Impact of Hosting a Major Sport Event on the South African Economy
9. Stakeholder Activism, Managerial Entrenchment, and the Congruence of Interests between Shareholders and Stakeholders
10. DISCRIMINATORY APPROACH TO AUDITORY STIMULI IN GUINEA FOWL (NUMIDA MELEAGRIS) AFTER HYPERSTRIATAL∕HIPPOCAMP- AL BRAIN DAMAGE