This paper extends real options theory to consider the situation where the mean appreciation rate of cash flows generated by an irreversible investment project is not observable and governed by an Ornstein-Uhlenbeck process. Our main purpose is to analyze the impact of the uncertainty of the...

This paper provides two modified pricing PDEs for a general European option under liquidity risk, by which two modified hedges are derived. It is shown that the hedge errors of the two modified hedges approach zero as the trading time interval converges to zero inclusive of liquidity costs. An...

This paper extends real options theory to consider the situation where the mean appreciation rate of the value of an irreversible investment project is not observable and governed by an Ornstein-Uhlenbeck process. Our main purpose is to analyze the impact of the uncertainty of the mean...

We study the impact of stochastic interest rates and capital illiquidity on investment and firm value by incorporating a widely used arbitrage-free term structure model of interest rates into a standard q theoretic framework. Our generalized q model informs us to use corporate credit-risk...

This paper develops a general continuous-time evolutionary finance model with time-dependent strategies. It is shown that the continuous model, which is a limit of a general discrete model, is well-defined and if there exists one completely diversified strategy in the market, then there is no...