Results 61 to 70 of about 36,708 (189)
Mathematical Finance, EarlyView.ABSTRACT We introduce a dynamic and stochastic interbank model with an endogenous notion of distress contagion, arising from rational worries about future defaults and ensuing losses. This entails a mark‐to‐market valuation adjustment for interbank claims, leading to a forward‐backward approach to the equilibrium dynamics whereby future default ...
Zachary Feinstein, Andreas Søjmark
wiley +1 more source
Optimal Portfolio Choice With Cross‐Impact Propagators
Mathematical Finance, EarlyView.ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber +2 more
wiley +1 more source
Stochastic integrals of point processes and the decomposition of two-parameter martingales
Journal of Multivariate Analysis, 1989 Let M be a two-parameter square-integrable martingale with trajectories that have limits in all quadrants and are continuous from the right. The paper gives the decomposition of M into four orthogonal components: \(M=\sum^{4}_{i=1}M_ i,\) where \(M_ 1\) is continuous, \(M_ 2\) is purely discontinuous, \(M_ 3\) and \(M_ 4\) are continuous in one ...
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Reinforcement Learning for Jump‐Diffusions, With Financial Applications
Mathematical Finance, EarlyView.ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley +1 more source
r-variations for two-parameter continuous martingales and itô's formula
Stochastic Processes and their Applications, 1989 Let \(M=\{M_ z;z\in [0,1]^ 2\}\) be a two-parameter continuous martingale bounded in \(L^ 4\), and suppose that f is a real-valued function of class \(C^ 4\) such that \(f(0)=0\). The aim of this paper is to establish an Itô's formula of the type \[ f(M_ z)=\sum^{4}_{r=1}(r!)^{-1}\int_{[0,z]}f^{(r)}(M_ u)d\mu^ r_ M(u), \] where the processes \(\mu^ r_ ...
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Never, Ever Getting Started: On Prospect Theory Without Commitment
Mathematical Finance, EarlyView.ABSTRACT Prospect theory is arguably the most prominent alternative to expected utility theory. We study the investment or gambling behavior of a prospect theory decision maker who is aware of his time‐inconsistency but lacks commitment. For the empirically relevant prospect theory specifications, we obtain the extreme prediction that such a decision ...
Sebastian Ebert, Philipp Strack
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Orthogonal projections on martingale $H^{1}$ spaces of two parameters
Illinois Journal of Mathematics, 1994 Given natural numbers \(n\) and \(i\) so that \(1\leq i\leq 2^ n\), let \((n, i)\) denote the ``dyadic interval'' \(\left[{i- 1\over 2^ n}, {i\over 2^ n}\right]\), \(h_{(n, i)}\) the \(L^ \infty\)-normalized Haar function supported on \((n, i)\), and \(h_{(n, i)\times (m, j)}(s, t)= h_{(n, i)}(s) h_{(m, j)}(t)\) (for \(s,t\in [0, 1]\)). If \(F= \sum c_{
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Equilibrium Reward for Liquidity Providers in Automated Market Makers
Mathematical Finance, EarlyView.ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha +2 more
wiley +1 more source
Asymptotic results for random coefficient bifurcating autoregressive processes
, 2012 The purpose of this paper is to study the asymptotic behavior of the weighted least square estimators of the unknown parameters of random coefficient bifurcating autoregressive processes. Under suitable assumptions on the immigration and the inheritance,
Blandin, Vassili
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Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
Mathematical Finance, EarlyView.ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri +2 more
wiley +1 more source