Results 151 to 160 of about 726,750 (291)
Relative Arbitrage Opportunities With Interactions Among N Investors
Mathematical Finance, EarlyView.ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley +1 more source
The Optimal Mean–Variance Selling Problem With Finite Horizon
Mathematical Finance, EarlyView.ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson +2 more
wiley +1 more source
Mathematical Finance, EarlyView.ABSTRACT We study a dynamic portfolio optimization problem under the mean–variance–variance (M‐V‐V) criterion proposed by Maccheroni et al. It is an analogue of the Arrow–Pratt approximation to the well‐known smooth ambiguity model. Under the standard Black–Scholes framework, we derive fully explicit equilibrium investment strategies in which a DM's ...
David Landriault, Bin Li, Yuanyuan Zhang
wiley +1 more source
An inequality for a class of Markov processes
, 2009 Let $α\in (0,2)$ and consider the operator $\sL$ given by \[ \sL f(x)=\int[ f(x+h)-f(x)-1_{(|h|\leq 1)}h\cdot \grad f(x)]\frac{n(x,h)}{|h|^{d+α}} \d h, \] where the term $1_{(|h|\leq 1)}h\cdot \grad f(x)$ is not present when $α\in (0,1)$. Under some suitable assumptions on the kernel $n(x,h)$, we prove a Krylov-type inequality for processes associated ...
openaire +2 more sources
Parabolic Harnack inequality and estimates of Markov chains on graphs
, 1999 On a graph, we give a characterization of a parabolic Harnack inequality and Gaussian estimates for reversible Markov chains by geometric properties (volume regularity and Poincaré inequality)
Delmotte, Thierry
core
Market Making With Fads, Informed, and Uninformed Traders
Mathematical Finance, EarlyView.ABSTRACT We characterize the solution to a continuous‐time optimal liquidity provision problem in a market populated by informed and uninformed traders. In our model, the asset price exhibits fads —these are short‐term deviations from the fundamental value of the asset.
Emilio Barucci +2 more
wiley +1 more source
Risk Measure Duality Without Structure
Mathematical Finance, EarlyView.ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
wiley +1 more source
Beveridge-Nelson Decomposition with Markov Switching [PDF]
This paper considers Beveridge-Nelson decomposition in a context where the permanent and transitory components both follow a Markov switching process.
Heather Anderson +2 more
core
On Short‐Term Behavior of Implied Volatility for Index Options
Mathematical Finance, EarlyView.ABSTRACT This paper investigates short‐term behavior of implied volatility of derivatives written on a market index when the index is constructed using a ranking procedure. Even when stock prices follow geometric Brownian motion dynamics, the ranking mechanism can lead to the observed term structure of at‐the‐money (ATM) implied volatility skew for ...
Huy N. Chau, Duy Nguyen, Thai Nguyen
wiley +1 more source
Convergence Rate of Euler-Maruyama Scheme to the Invariant Probability Measure Under Total Variation Distance for the SDEs. [PDF]
Entropy (Basel)Wang Y, Ye Y.
europepmc +1 more source