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math.PR2019
Discretionary stopping of stochastic differential equations with generalised drift
Mihail Zervos, Neofytos Rodosthenous, Pui Chan Lon +1
We consider the problem of optimally stopping a general one-dimensional stochastic differential equation (SDE) with generalised drift over an infinite time horizon. First, we deriv…
math.PR2016
Perpetual American options in diffusion-type models with running maxima and drawdowns
Pavel V. Gapeev, Neofytos Rodosthenous
We study perpetual American option pricing problems in an extension of the Black-Merton-Scholes model in which the dividend and volatility rates of the underlying risky asset depen…