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We employ a natural method from the perspective of the optimal stopping theory to analyze entry-exit decisions with implementation delay of a project, and provide closed expressions for optimal entry decision times, optimal exit decision…

Optimization and Control · Mathematics 2015-12-01 Yong-Chao Zhang

We study the optimal timing of derivative purchases in incomplete markets. In our model, an investor attempts to maximize the spread between her model price and the offered market price through optimally timing her purchase. Both the…

Pricing of Securities · Quantitative Finance 2011-10-12 Tim Leung , Michael Ludkovski

We consider an online preemptive scheduling problem where jobs with deadlines arrive sporadically. A commitment requirement is imposed such that the scheduler has to either accept or decline a job immediately upon arrival. The scheduler's…

Data Structures and Algorithms · Computer Science 2011-10-07 Shiyao Chen , Lang Tong , Ting He

In a world of utility-driven marketing, each company acts as an adversary to other contenders, with all having competing interests. A major challenge for companies launching a new product is that, despite testing, flaws in their product can…

Applications · Statistics 2025-06-02 Pablo G. Arce , Sonali Das , David Ríos Insua

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payoff rate that is a function of a stochastic economic…

Optimization and Control · Mathematics 2018-06-05 Mihail Zervos , Carlos Oliveira , Kate Duckworth

The energy and material processing industries are traditionally characterized by very large-scale physical capital that is custom-built with long lead times and long lifetimes. However, recent technological advancement in low-cost…

Economics · Quantitative Finance 2015-03-31 Eric Dahlgren , Tim Leung

This paper studies the risk-adjusted optimal timing to liquidate an option at the prevailing market price. In addition to maximizing the expected discounted return from option sale, we incorporate a path-dependent risk penalty based on…

Mathematical Finance · Quantitative Finance 2015-03-31 Tim Leung , Yoshihiro Shirai

In this paper, we study an investor's optimal entry and exit decisions in a liquid staking protocol (LSP) and an automated market maker (AMM), primarily from the standpoint of the investor. Our analysis focuses on two key investor actions:…

Mathematical Finance · Quantitative Finance 2025-12-10 Ruofei Ma , Zhebiao Cai , Wenpin Tang , David Yao

Employee stock options (ESOs) are American-style call options that can be terminated early due to employment shock. This paper studies an ESO valuation framework that accounts for job termination risk and jumps in the company stock price.…

Pricing of Securities · Quantitative Finance 2015-05-01 Tim Leung , Haohua Wan

The optimal stopping problem for the risk process with interests rates and when claims are covered immediately is considered. An insurance company receives premiums and pays out claims which have occured according to a renewal process and…

Probability · Mathematics 2008-12-23 Bogdan K. Muciek , Krzysztof J. Szajowski

We study the valuation of an American put option with a random time horizon given by the last exit time of the underlying asset from a fixed level. Since this random time is not a stopping time, the problem falls outside the classical…

Probability · Mathematics 2026-03-31 Zhuoshu Wu , Libo Li

This paper studies the timing of trades under mean-reverting price dynamics subject to fixed transaction costs. We solve an optimal double stopping problem to determine the optimal times to enter and subsequently exit the market, when…

Trading and Market Microstructure · Quantitative Finance 2015-04-21 Tim Leung , Xin Li , Zheng Wang

In this paper we study simulation based optimization algorithms for solving discrete time optimal stopping problems. This type of algorithms became popular among practioneers working in the area of quantitative finance. Using large…

Optimization and Control · Mathematics 2009-09-22 Denis Belomestny

The aim of this paper is to provide a mathematical contribution on the semi-static hedge of timing risk associated to positions in American-style options under a multi-dimensional market model. Barrier options are considered in the paper…

Pricing of Securities · Quantitative Finance 2017-01-23 Jiro Akahori , Flavia Barsotti , Yuri Imamura

We investigate an optimal reinsurance problem for an insurance company facing a constant fixed cost when the reinsurance contract is signed. The insurer needs to optimally choose both the starting time of the reinsurance contract and the…

Mathematical Finance · Quantitative Finance 2021-01-14 Matteo Brachetta , Claudia Ceci

In this paper, we explore an optimal timing strategy for the trading of price spreads exhibiting mean-reverting characteristics. A sequential optimal stopping framework is formulated to analyze the optimal timings for both entering and…

Computational Finance · Quantitative Finance 2024-03-06 Boming Ning , Prakash Chakraborty , Kiseop Lee

We study the tradeoff between fundamental risk and time. A time-constrained agent has to solve a problem. She dynamically allocates effort between implementing a risky initial idea and exploring alternatives. Discovering an alternative…

Theoretical Economics · Economics 2023-02-21 Christoph Carnehl , Johannes Schneider

Any firm whose business strategy has an exposure constraint that limits its potential gain naturally considers expansion, as this can increase its exposure. We model business expansion as an enlargement of the opportunity set for business…

Risk Management · Quantitative Finance 2021-12-14 Ling Wang , Kexin Chen , Mei Choi Chiu , Hoi Ying Wong

Is an option to early terminate a swap at its market value worth zero? At first sight it is, but in presence of counterparty risk it depends on the criteria used to determine such market value. In case of a single uncollateralised swap…

Pricing of Securities · Quantitative Finance 2013-01-24 Lorenzo Giada , Claudio Nordio

In this paper we consider a method of solving optimal stopping problems in discrete and continuous time based on their dual representation. A novel and generic simulation-based optimization algorithm not involving nested simulations is…

Probability · Mathematics 2013-09-10 Denis Belomestny
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