[图书][B] Mathematical finance

E Eberlein, J Kallsen - 2019 - Springer
Ernst Eberlein Jan Kallsen Page 1 Springer Finance Ernst Eberlein Jan Kallsen Mathematical
Finance Page 2 Springer Finance Editorial Board Marco Avellaneda Giovanni Barone-Adesi …

Bilateral multiple gamma returns: Their risks and rewards

DB Madan, W Schoutens, K Wang - International Journal of …, 2020 - World Scientific
The bilateral gamma model for returns is naturally derived from the lognormal model.
Maximizing entropy in a random time change delivers the symmetric variance gamma …

Asset pricing theory for two price economies

DB Madan - Annals of Finance, 2015 - Springer
We show that nonlinearly discounted nonlinear martingales are related to no arbitrage in
two price economies as linearly discounted martingales were related to no arbitrage in …

Arbitrage with fractional Gaussian processes

X Zhang, W Xiao - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
While the arbitrage opportunity in the Black–Scholes model driven by fractional Brownian
motion has a long history, the arbitrage strategy in the Black–Scholes model driven by …

Market complete option valuation using a Jarrow-Rudd pricing tree with skewness and kurtosis

Y Hu, WB Lindquist, ST Rachev, A Shirvani… - Journal of Economic …, 2022 - Elsevier
Abstract Applying the Cherny-Shiryaev-Yor invariance principle, we introduce a generalized
Jarrow-Rudd (GJR) option pricing model with uncertainty driven by a skew random walk …

Extended weak convergence and utility maximisation with proportional transaction costs

E Bayraktar, L Dolinskyi, Y Dolinsky - Finance and Stochastics, 2020 - Springer
In this paper, we study utility maximisation with proportional transaction costs. Assuming
extended weak convergence of the underlying processes, we prove the convergence of the …

Hedging, arbitrage and optimality with superlinear frictions

P Guasoni, M Rásonyi - 2015 - projecteuclid.org
In a continuous-time model with multiple assets described by càdlàg processes, this paper
characterizes superhedging prices, absence of arbitrage, and utility maximizing strategies …

Multivariate utility maximization with proportional transaction costs

L Campi, MP Owen - Finance and stochastics, 2011 - Springer
We present an optimal investment theorem for a currency exchange model with random and
possibly discontinuous proportional transaction costs. The investor's preferences are …

Consistent price systems and arbitrage opportunities of the second kind in models with transaction costs

E Denis, Y Kabanov - Finance and Stochastics, 2012 - Springer
In contrast with the classical models of frictionless financial markets, market models with
proportional transaction costs, even satisfying usual no-arbitrage properties, may admit …

[图书][B] Asymptotic theory of transaction costs

W Schachermayer - 2017 - math.columbia.edu
The present lecture notes are based on several advanced courses which I gave at the
University of Vienna between 2011 and 2013. In 2015 I gave a similar course (“Nachdiplom …