Arbeitspapier

A Class of Solvable Optimal Stopping Problems of Spectrally Negative Jump Diffusions

We consider the optimal stopping of a class of spectrally negative jump diffusions. We state a set of conditions under which the value is shown to have a representation in terms of an ordinary nonlinear programming problem. We establish a connection between the considered problem and a stopping problem of an associated continuous diffusion process and demonstrate how this connection may be applied for characterizing the stopping policy and its value. We also establish a set of typically satisfied conditions under which increased volatility as well as higher jump-intensity decelerates rational exercise by increasing the value and expanding the continuation region.

Language
Englisch

Bibliographic citation
Series: Discussion paper ; No. 9

Classification
Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Portfolio Choice; Investment Decisions
Asset Pricing; Trading Volume; Bond Interest Rates
Subject
jump diffusions
optimal stopping
nonlinear programming
perpetual American options

Event
Geistige Schöpfung
(who)
Alvarez, Luis H. R.
Rakkolainen, Teppo A.
Event
Veröffentlichung
(who)
Aboa Centre for Economics (ACE)
(where)
Turku
(when)
2006

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Alvarez, Luis H. R.
  • Rakkolainen, Teppo A.
  • Aboa Centre for Economics (ACE)

Time of origin

  • 2006

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