rationality parameter for exercising american put

Clicks: 125
ID: 235458
2015
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Abstract
In this paper, irrational exercise behavior of the buyer of an American put is characterized by a single parameter. We model irrational exercise rules as the first jump time of a point processes with stochastic intensity. By the rationality parameter, we parameterize a family of stochastic intensities that depends on the value of the put itself. We present a probabilistic proof that the value of the American put using the irrational exercise rule converges to the arbitrage-free price as the rationality parameter converges to infinity. Another application of this result is the penalty method for approximating the price of an American put.
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gad2015risksrationality Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Kamille Sofie Tågholt Gad;Jesper Lund Pedersen
Journal world neurosurgery
Year 2015
DOI
10.3390/risks3020103
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