D. W. Mcbeth, On the Existence of equivalent local Martingale Measures, Thesis at Cornell University (1991), 70 p.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....Q with distance kQ Gamma Q 1 k in total variation norm less than 0, we may remedy both possible defects of Q 1 : under Q the expectation of S 1 is well defined and it equals zero. The idea for the proof of this lemma goes back in the special case d = 1 and Adm = f0g to the work of D. McBeth [M91]. 3.2 Lemma. Let Q 1 be a probability measure as in lemma 3.1 and 0. Denote by B the set of barycenters B = fE Q [S 1 ] Q probability on F ; Q P; kQ Gamma Q 1 k ; and S 1 is Q integrableg Then B is a convex subset of R containing 0 in its relative interior. In particular, there is ....

....we could replace the probability measures F j by finite nonnegative measures on R . In this case we may obtain the G j in such a way that the total mass G j (R ) equals F j (R ) almost surely. To illustrate the meaning of the Crucial lemma we note a little observation in the spirit of [M91] which shows in particular the limitations of the no arbitrage theory when applied e.g. to Gaussian models for the stock returns in finite discrete time. 3.4 Proposition. Let (S t ) t=0 be an adapted R valued process based on ; F ; F t ) t=0 ; P) such that for every predictable process (h ....

D. W. Mcbeth, On the Existence of equivalent local Martingale Measures, Thesis at Cornell University (1991), 70 p.

....P ) We use the standard notation L 0 (resp. L 1 , L 1 ) for the space of all (resp. P integrable, P essentially bounded) real valued random variables on( Omega ; F ; P ) If C is a subset in a linear space, then conv C will denote the minimal convex set containing C. The work of McBeth [16], Schachermayer [19] and Delbaen and Schachermayer [5] has shown the usefulness of the following concept. Definition 5.1 The sequence (f n ) n1 is Fatou convergent to f if (f n ) n1 is uniformly bounded from below and f n f almost surely. A subset C in L 0 which is closed with respect ....

D.W. McBeth. On the Existence of Equivalent Local Martingale Measures. Master's thesis, Cornell University, 1991.

....Q with distance kQ Gamma Q 1 k in total variation norm less than 0, we may remedy both possible defects of Q 1 : under Q the expectation of S 1 is well defined and it equals zero. The idea for the proof of this lemma goes back in the special case d = 1 and Adm = f0g to the work of D. McBeth [M91]. 3.2 Lemma. Let Q 1 be a probability measure as in lemma 3.1 and 0. Denote by B the set of barycenters B = fE Q [S 1 ] Q probability on F ; Q P; kQ Gamma Q 1 k ; and S 1 is Q integrableg Then B is a convex subset of R d containing 0 in its relative interior. In particular, there ....

....could replace the probability measures F j by finite nonnegative measures on R d . In this case we may obtain the G j in such a way that the total mass G j (R d ) equals F j (R d ) almost surely. To illustrate the meaning of the Crucial lemma we note a little observation in the spirit of [M91] which shows in particular the limitations of the no arbitrage theory when applied e.g. to Gaussian models for the stock returns in finite discrete time. 3.4 Proposition. Let (S t ) T t=0 be an adapted R d valued process based on ( Omega ; F ; F t ) T t=0 ; P) such that for every ....

D. W. Mcbeth, On the Existence of equivalent local Martingale Measures, Thesis at Cornell University (1991), 70 p.

No context found.

D. W. Mcbeth (1992), On the Existence of equivalent local Martingale Measures, Thesis at Cornell University, 70 p.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC