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...

We study optimal portfolio, consumption-leisure and retirement choice of an infinitely-lived economic agent whose instantaneous preference is characterized by a constant elasticity of substitution(CES) function of consumption and leisure. We integrate in one model the optimal...

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,...

We consider a capital at risk (CaR) minimization problem in an incomplete market Black-Scholes setting. The optimization problem is studied, given the possibility that a correlation constraint between the wealth process and a financial index is imposed. The optimal portfolio is not unique and it...

This paper studies the investment timing problem of an entrepreneur with a non- tradable real option with undiversifiable risk. We find that the time preference can have a significant impact on the risk attitude toward the idiosyncratic risk, which re- sults from the wealth effect on the implied...

We investigate a one-period portfolio optimization problem of a cumulative prospect theory (CPT) investor with multiple risky assets and one risk-free asset. The returns of the multiple risky assets follow a multivariate generalized hyperbolic (GH) skewed t distribution. We obtain a three-fund...

We consider a decision maker's problem in a real option framework with several projects that can only be sequentially undertaken within a "decision horizon" - the time until projects are expired - and characterize the optimal sequence of exercises. A limited decision horizon leads to early...

We provide an accurate approximation method for inverting an option price to the implied volatility under arithmetic Brownian motion. The maximum error in the volatility is in the order of 1e-10 of the given option price and much smaller for the near-the-money options. Thus our approximation can...

This paper studies a continuous-time optimal consumption and portfolio selection problem when an economic agent with recursive utility has stochastic income and liquidity constraints. To tackle this problem, we introduce a transform of the Hamilton-Jacobi-Bellman equation into a free boundary...