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We study a class of nonlinear pricing models which involves the feedback effect from the dynamic hedging strategies on the price of asset introduced by Sircar and Papanicolaou. We are first to study ...
In this paper, we give a numerical method for pricing long maturity,path dependent options by using the Markov property for each underlying asset. This enables us to approximate a path dependent optio...
This paper sets out to provide a risk-management tool (namely the distribution of the stock price of a warrantissuing firm) and at the same time resolves an outstanding issue between the theory and th...
We show that prices and shortfall risks of game (Israeli) barrier options in a sequence of binomial approximations of the Black–Scholes (BS) market converge to the corresponding quantities for similar...
We derive a closed-form solution for the price of an average price as well as an average strike geometric Asian option, by making use of the path integral formulation. Our results are compared to a n...
In this paper, we analyze an environmental policy that is designed to reduce the emission of pollutants when there is uncertainty over the social costs of environmental damage.We first establish a mod...
This paper considers the valuation of exotic path-dependent options in L´evy models, in particular options on the supremum and the infimum of the asset price process. Using the Wiener–Hopf facto...
The paper introduces and studies hedging for game (Israeli) style extension of swing options considered as multiple exercise derivatives. Assuming that the underlying security can be traded without re...
The distribution of the returns for a stock are not well described by a normal probability density function (pdf). Student’s t -distributions, which have fat tails, are known to fit the distributions ...
The true probability of a European call option to achieve positive return is investigated under the Black-Scholes model. It is found that the probability is determined by those market factors appearin...
Probabilistic representations of the density function of the asset price and of vanilla options in linear stochastic volatility models。
In this paper we present an algorithm for pricing barrier options in one-dimensional Markov models. The approach rests on the construction of an approximating continuous-time Markov chain that closely...
We solve the problem of pricing and optimal exercise of American call-type options in markets which do not necessarily admit an equivalent local martingale measure. This resolves an open question prop...
The purpose of this note is to describe, in terms of a power series, the distribution function of the exponential functional, taken at some independent exponential time, of a spectrally negative L&ac...
The number of multi-currency exotic options is large and growing. They naturally appeal to large international corporations who need to hedge their exposures in different currencies. Multi-currency op...

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