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We introduce a new approach to incorporate uncertainty into the decision to invest in a commodity reserve. The investment is an irreversible one-off capital expenditure, after which the investor receives a stream of cashflow from extracting…

数理金融 · 定量金融 2018-07-31 Ali Al-Aradi , Alvaro Cartea , Sebastian Jaimungal

In setting up a stochastic description of the time evolution of a financial index, the challenge consists in devising a model compatible with all stylized facts emerging from the analysis of financial time series and providing a reliable…

统计金融 · 定量金融 2009-11-13 Fulvio Baldovin , Attilio L. Stella

Mathematically, the execution of an American-style financial derivative is commonly reduced to solving an optimal stopping problem. Breaking the general assumption that the knowledge of the holder is restricted to the price history of the…

计算金融 · 定量金融 2020-08-25 Bernardo D'Auria , Eduardo García-Portugués , Abel Guada

We explore the implications of a preference ordering for an investor-consumer with a strong preference for keeping consumption above an exogenous social norm, but who is willing to tolerate occasional dips below it. We do this by splicing…

We study an optimal liquidation problem with multiplicative price impact in which the trend of the asset's price is an unobservable Bernoulli random variable. The investor aims at selling over an infinite time-horizon a fixed amount of…

数理金融 · 定量金融 2022-11-28 Felix Dammann , Giorgio Ferrari

In this paper, we investigate various inflation models in the context of the no-boundary proposal. We propose that a good inflation model should satisfy three conditions: observational constraints, plausible initial conditions, and…

广义相对论与量子宇宙学 · 物理学 2014-06-09 Dong-il Hwang , Dong-han Yeom

In this paper the utility optimization problem for a general insurance model is studied. The reserve process of the insurance company is described by a stochastic differential equation driven by a Brownian motion and a Poisson random…

概率论 · 数学 2009-09-01 Yuping Liu , Jin Ma

Leveraging recent developments in black-box risk-aware verification, we provide three algorithms that generate probabilistic guarantees on (1) optimality of solutions, (2) recursive feasibility, and (3) maximum controller runtimes for…

最优化与控制 · 数学 2023-03-14 Prithvi Akella , Wyatt Ubellacker , Aaron D. Ames

We consider an investor who wants to select her/his optimal consumption, investment and insurance policies. Motivated by new insurance products, we allow not only the financial marke but also the insurable loss to depend on the regime of…

风险管理 · 定量金融 2014-06-25 Bin Zou , Abel Cadenillas

We study discrete-time predictable forward processes when trading times do not coincide with performance evaluation times in a binomial tree model for the financial market. The key step in the construction of these processes is to solve a…

数理金融 · 定量金融 2023-12-05 Gechun Liang , Moris S. Strub , Yuwei Wang

History-dependent constitutive models serve as macroscopic closures for the aggregated effects of micromechanics. Their parameters are typically learned from experimental data. With a limited experimental budget, eliciting the full range of…

材料科学 · 物理学 2026-04-28 Kaushik Bhattacharya , Lianghao Cao , Andrew Stuart

A problem of optimally purchasing electricity at a real-valued spot price (that is, with potentially negative cost) has been recently addressed in De Angelis, Ferrari and Moriarty (2015) [SIAM J. Control Optim. 53(3)]. This problem can be…

最优化与控制 · 数学 2016-02-10 Tiziano De Angelis , Giorgio Ferrari , Randall Martyr , John Moriarty

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

最优化与控制 · 数学 2011-02-25 Traian A Pirvu , Huayue Zhang

I introduce novel preference formulations which capture aversion to ambiguity about unknown and potentially time-varying volatility. I compare these preferences with Gilboa and Schmeidler's maxmin expected utility as well as variational…

理论经济学 · 经济学 2021-09-21 Peter G. Hansen

We propose an axiomatic approach which economically underpins the representation of dynamic preferences in terms of a stochastic utility function, sensitive to the information available to the decision maker. Our construction is iterative…

概率论 · 数学 2020-02-24 Marco Maggis , Andrea Maran

This paper tackles challenges in pricing and revenue projections due to consumer uncertainty. We propose a novel data-based approach for firms facing unknown consumer type distributions. Unlike existing methods, we assume firms only observe…

理论经济学 · 经济学 2024-05-28 Duarte Gonçalves , Bruno A. Furtado

This paper employs an intra-personal game-theoretic framework to investigate how decreasing impatience influences irreversible investment behaviors in a continuous-time setting. We consider a capacity expansion problem under weighted…

数理金融 · 定量金融 2024-09-04 Pengyu Wei , Wei Wei

We study the continuous time portfolio optimization model on the market where the mean returns of individual securities or asset categories are linearly dependent on underlying economic factors. We introduce the functional $Q_\gamma$…

投资组合管理 · 定量金融 2015-01-29 O. S. Rozanova , G. S. Kambarbaeva

We introduce a new stochastic duration model for transaction times in asset markets. We argue that widely accepted rules for aggregating seemingly related trades mislead inference pertaining to durations between unrelated trades: while any…

计量经济学 · 经济学 2020-05-20 Samuel Gingras , William J. McCausland

We consider a risk-sensitive continuous-time Markov decision process over a finite time duration. Under the conditions that can be satisfied by unbounded transition and cost rates, we show the existence of an optimal policy, and the…

最优化与控制 · 数学 2018-11-29 Xin Guo , Qiuli Liu , Yi Zhang
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