scholarly journals Pricing without no-arbitrage condition in discrete time

Author(s):  
Laurence Carassus ◽  
Emmanuel Lépinette
Keyword(s):  
2020 ◽  
Vol 130 (11) ◽  
pp. 6657-6688 ◽  
Author(s):  
Romain Blanchard ◽  
Laurence Carassus

2013 ◽  
Vol 25 (4) ◽  
pp. 673-701 ◽  
Author(s):  
Tomasz R. Bielecki ◽  
Igor Cialenco ◽  
Rodrigo Rodriguez

2004 ◽  
Vol 2004 (4) ◽  
pp. 293-309 ◽  
Author(s):  
József Gáll ◽  
Gyula Pap ◽  
Martien C. A. van Zuijlen

Discrete-time forward interest rate curve models are studied, where the curves are driven by a random field. Under the assumption of no-arbitrage, the maximum likelihood estimator of the volatility parameter is given and its asymptotic behaviour is studied. First, the so-called martingale models are examined, but we will also deal with the general case, where we include the market price of risk in the discount factor.


Author(s):  
Peter Christoffersen ◽  
Redouane Elkamhi ◽  
Kris Jacobs

2001 ◽  
Vol 11 (3) ◽  
pp. 315-329 ◽  
Author(s):  
Laurence Carassus ◽  
Huye^n Pham ◽  
Nizar Touzi

2019 ◽  
Vol 24 (1) ◽  
pp. 249-275
Author(s):  
Erhan Bayraktar ◽  
Matteo Burzoni

AbstractWe prove the superhedging duality for a discrete-time financial market with proportional transaction costs under model uncertainty. Frictions are modelled through solvency cones as in the original model of Kabanov (Finance Stoch. 3:237–248, 1999) adapted to the quasi-sure setup of Bouchard and Nutz (Ann. Appl. Probab. 25:823–859, 2015). Our approach allows removing the restrictive assumption of no arbitrage of the second kind considered in Bouchard et al. (Math. Finance 29:837–860, 2019) and showing the duality under the more natural condition of strict no arbitrage. In addition, we extend the results to models with portfolio constraints.


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