Optimal Stop** Methods for Investment Decisions: A Literature Review
Z Liu, Y Mu - International Journal of Financial Studies, 2022 - mdpi.com
Investors decide the best time to take a given action by maximizing their utility function while
taking into account current information and the underlying process in the optimal stop** …
taking into account current information and the underlying process in the optimal stop** …
Optimal stop** problems for maxima and minima in models with asymmetric information
PV Gapeev, L Li - Stochastics, 2022 - Taylor & Francis
We derive closed-form solutions to optimal stop** problems related to the pricing of
perpetual American withdrawable standard and lookback put and call options in an …
perpetual American withdrawable standard and lookback put and call options in an …
Optimal double stop** problems for maxima and minima of geometric Brownian motions
We present closed-form solutions to some double optimal stop** problems with payoffs
representing linear functions of the running maxima and minima of a geometric Brownian …
representing linear functions of the running maxima and minima of a geometric Brownian …
Perpetual American standard and lookback options with event risk and asymmetric information
PV Gapeev, L Li - SIAM Journal on Financial Mathematics, 2022 - SIAM
We derive closed-form solutions to the perpetual American standard and floating-strike
lookback put and call options in an extension of the Black--Merton--Scholes model with …
lookback put and call options in an extension of the Black--Merton--Scholes model with …
Discounted optimal stop** problems for maxima of geometric Brownian motions with switching payoffs
We present closed-form solutions to some discounted optimal stop** problems for the
running maximum of a geometric Brownian motion with payoffs switching according to the …
running maximum of a geometric Brownian motion with payoffs switching according to the …
[HTML][HTML] Perpetual American options in diffusion-type models with running maxima and drawdowns
PV Gapeev, N Rodosthenous - Stochastic Processes and their Applications, 2016 - Elsevier
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 depend …
Scholes model in which the dividend and volatility rates of the underlying risky asset depend …
[HTML][HTML] On the drawdowns and drawups in diffusion-type models with running maxima and minima
PV Gapeev, N Rodosthenous - Journal of Mathematical Analysis and …, 2016 - Elsevier
We obtain closed-form expressions for the values of joint Laplace transforms of the running
maximum and minimum of a diffusion-type process stopped at the first time at which the …
maximum and minimum of a diffusion-type process stopped at the first time at which the …
Last-passage American cancelable option in Lévy models
Z Palmowski, P Stȩpniak - Journal of Risk and Financial Management, 2023 - mdpi.com
We derive the explicit price of the perpetual American put option canceled at the last-
passage time of the underlying above some fixed level. We assume that the asset process is …
passage time of the underlying above some fixed level. We assume that the asset process is …
Discounted optimal stop** problems in first-passage time models with random thresholds
We derive closed-form solutions to some discounted optimal stop** problems related to
the perpetual American cancellable dividend-paying put and call option pricing problems in …
the perpetual American cancellable dividend-paying put and call option pricing problems in …
On the Singular Control of a Diffusion and Its Running Infimum or Supremum
G Ferrari, N Rodosthenous - arxiv preprint arxiv:2501.17577, 2025 - arxiv.org
We study a class of singular stochastic control problems for a one-dimensional diffusion $ X
$ in which the performance criterion to be optimised depends explicitly on the running …
$ in which the performance criterion to be optimised depends explicitly on the running …