¡¡¡¡Entry-exit decisions apply to numerous practical problems. For example£¬ when to extract oil and when to stop the extraction£¬ when to issue a new policy and when to end it£¬ and when to let a kind of product enter a market and when to let the product exit the market£¬ etc. Therefore£¬ entry-exit decision problems attract a lot of researchers. ¡¡¡¡There are three approaches to study entry-exit decisions£¬ namely£¬ real option£¬ pure probability and optimal stopping. In this monograph£¬ we appeal to optimal stopping to deal with entry-exit decisions. The main reasons are as follows. On the one hand£¬ in the real option framework£¬ the regularity of payoff functions is a priori assumed£¬ while the optimal stopping approach intends to prove it. On the other hand£¬ although the pure probability and optimal stopping approaches are both to solve a optimal stopping problem£¬ we have to calculate density functions of some stopping times if applying the pure probability approach£¬ which is not easy£¬ whereas the optimal stopping one avoids such calculations. ¡¡¡¡We aim to obtain closed-form solutions of optimal entry-exit decisions for the cases£º costs depending on underlying processes£¬ implementation with delay£¬ and underlying processes following geometric Levy processes. In addition£¬ we provide a complete theory for optimal stopping problems with regime switching£¬ and use it to solve an exit problem.
【目录】
Overview
1 Entry-exit decisions with linear costs 1£®1 Introduction 1£®2 An elementary introduction to optimal stopping problems 1£®3 The model 1£®4 An optimal exit time 1£®5 An optimal entry-exit decision 1£®6 Conclusions
2 Entry-exit decisions with implementation delay 2£®1 Introduction 2£®2 Some results concerning classical optimal stopping problems 2£®3 A useful transformation 2£®4 The model 2£®5 An optimal entry-exit decision 2£®6 Conclusions
3 Entry-exit decisions with underlying processes following geometric Levy processes 3£®1 Introduction 3£®2 Solving optimal stopping problems by Wiener-Hopf factorization 3£®3 The model 3£®4 An optimal entry-exit decision 3£®5 The effect of jumping on optimal entry-exit decisions 3£®6 Conclusions
4 Optimal stopping problems with regime switching£º a viscosity solution method 4£®1 Introduction 4£®2 Optimal stopping problems with regime switching 4£®3 An application 4£®4 Conclusions
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