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We consider an investment problem in which an investor performs capital injections to increase the liquidity of a firm for it to maximise profit from market operations. Each time the investor performs an injection, the investor incurs a…

最优化与控制 · 数学 2019-10-04 David Mguni

The problem of stochastic deadline scheduling is considered. A constrained Markov decision process model is introduced in which jobs arrive randomly at a service center with stochastic job sizes, rewards, and completion deadlines. The…

最优化与控制 · 数学 2017-07-10 Zhe Yu , Yunjian Xu , Lang Tong

Pricing financial or real options with arbitrary payoffs in regime-switching models is an important problem in finance. Mathematically, it is to solve, under certain standard assumptions, a general form of optimal stopping problems in…

数理金融 · 定量金融 2018-09-11 Masahiko Egami , Rusudan Kevkhishvili

We introduce a model in which a regulator employs mechanism design to embed her human capital beta signal(s) in a firm's capital structure, in order to enhance the value of her post career change indexed executive stock option contract with…

风险管理 · 定量金融 2013-12-31 Godfrey Charles-Cadogan , John A. Cole

In this paper we provide a theoretical analysis of Variable Annuities with a focus on the holder's right to an early termination of the contract. We obtain a rigorous pricing formula and the optimal exercise boundary for the surrender…

数理金融 · 定量金融 2024-05-06 Tiziano De Angelis , Alessandro Milazzo , Gabriele Stabile

This paper proposes two kinds of time-inconsistent preferences (i.e. time flow inconsistency and critical time point inconsistency) to further advance the research on the exit decision of venture capital. Time-inconsistent preference,…

数理金融 · 定量金融 2021-03-23 Yanzhao Li , Ju'e Guo , Yongwu Li , Xu Zhang

We study an exit contract design problem, where one provides a universal exit contract to multiple heterogeneous agents, with which each agent chooses an optimal (exit) stopping time. The problem consists in optimizing the universal exit…

概率论 · 数学 2024-07-02 Xihao He , Xiaolu Tan , Jun Zou

The timing of strategic exit is one of the most important but difficult business decisions, especially under competition and uncertainty. Motivated by this problem, we examine a stochastic game of exit in which players are uncertain about…

最优化与控制 · 数学 2023-10-09 H. Dharma Kwon , Jan Palczewski

We introduce a simple stochastic volatility model, whose novelty consists in taking into account hitting times of the asset price, and study the optimal stopping problem corresponding to a put option whose time horizon (after the asset…

证券定价 · 定量金融 2017-03-29 Sigurd Assing , Yufan Zhao

We develop a model for pricing, lead-time quotation and delay compensation in a Markovian make-to-order production or service system with strategic customers who exhibit risk aversion. Based on a concave utility function of their net…

最优化与控制 · 数学 2019-11-07 Myron Benioudakis , Apostolos Burnetas , George Ioannou

We propose a discrete time algorithm for the valuation of employee stock options based on exponential indifference prices and taking into account both the possibility of partial exercise of a fraction of the options and the use of a…

统计理论 · 数学 2008-12-10 M. R. Grasselli

We study a continuous time contracting model in which a principal hires a risk averse agent to manage a project over a finite horizon and provides sequential payments whose timing is endogenously determined. The resulting nonzero-sum…

理论经济学 · 经济学 2025-12-01 Guillermo Alonso Alvarez , Ibrahim Ekren , Liwei Huang

We consider the problem of ESO valuation in continuous time. In particular, we consider models that assume that an appropriate random time serves as a proxy for anything that causes the ESO's holder to exercise the option early, namely,…

证券定价 · 定量金融 2017-10-04 Kamil Kladivko , Mihail Zervos

Purpose: Understanding the formation of entrepreneurial intentions is critical, given that it is the first step in the entrepreneurial process. Although entrepreneurial intention has been extensively studied, little attention has been paid…

This paper studies a discrete-time optimal switching problem on a finite horizon. The underlying model has a running reward, terminal reward and signed (positive and negative) switching costs. Using the martingale approach to optimal…

最优化与控制 · 数学 2016-10-17 Randall Martyr

We present a numerical method to compute the optimal maintenance time for a complex dynamic system applied to an example of maintenance of a metallic structure subject to corrosion. An arbitrarily early intervention may be uselessly costly,…

In many scheduling applications, minimizing delays is of high importance. One adverse effect of such delays is that the reward for completion of a job may decay over time. Indeed in healthcare settings, delays in access to care can result…

系统与控制 · 计算机科学 2016-10-24 Neal Master , Carri W. Chan , Nicholas Bambos

We study sequential interval scheduling when task start and end times are random. The set of tasks and their weights are known in advance, while each task's start and end times are drawn from known discrete distributions and revealed only…

最优化与控制 · 数学 2026-02-10 Rui Gong , Alejandro Toriello

We analyze an optimal stopping problem with random maturity under a nonlinear expectation with respect to a weakly compact set of mutually singular probabilities $\mathcal{P}$. The maturity is specified as the hitting time to level $0$ of…

概率论 · 数学 2016-07-08 Erhan Bayraktar , Song Yao

We study sequences, parametrized by the number of agents, of many agent exit time stochastic control problems with risk-sensitive cost structure. We identify a fully characterizing assumption, under which each of such control problem…

最优化与控制 · 数学 2018-08-23 Paul Dupuis , Vaios Laschos , Kavita Ramanan