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Title British put option on stocks under stochastic interest rate
Posted by Felipe Sumalpong, Jr.
Authors Felipe R. Sumalpong, Jr. & Elvira De Lara-Tuprio, PhD.
Publication date 2017/12/07
Thesis from the institution MSU-IIT & Ateneo De Manila University
Abstract The British option was first introduced by G. Peskir and F. Samee (2011). In a British option, the holder can enjoy the early exercise feature of American option whereupon his payoff is the 'best prediction' of the European payoff given all the information up to the exercise date under the hypothesis that the true drift of the stock equals a specified contract drift. Consistent with the plain vanilla option, the authors considered the constant interest rate. In this paper, we will consider the pricing of the British put option in a stochastic interest rate environment, particularly the Vasicek model. We will derive a closed form expression for the arbitrage-free price in terms of the rational exercise boundary.
Index terms / Keywords British put option, american put option, european put option, arbitrage-free price, vasicek model, rational exercise boundary, geometric Brownian motion, optimal stopping time, free boundary problem