We develop a lattice method for pricing lookback options in a regime-switching market environment. We assume the market is governed by a two-state Markov chain and stock volatility can change whenever the market environment changes. We develop a method which resolves the bias in the binomial...

Subsistence consumption and investment problems with bankruptcy are classic constrained stochastic optimal control problem in financial economic, where the consumption rate should be greater than a positive number and the investor faces a bankruptcy payment. We derive novel asymptotic solution...

Real options are a type of investment choice that supports decision-makers in making better strategic management decisions while simultaneously reducing uncertainty in investments. In this paper, we present a new model to help investors handle uncertain investment environments flexibly. First,...