Let $(X_t)_{t\ge0}$ be a continuous-time, time-homogeneous strong Markov process with possible jumps and let $\tau$ be its first hitting time of a Borel subset of the state space. Suppose $X$ is sampled at random times and suppose also that $X$ has not hit the Borel set by time $t$. What is the...

Under the real options approach to investment under uncertainty, agents formulate optimal policies under the assumption that firms' growth prospects do not vary over time. This paper proposes and solves a model of investment decisions in which the growth rate and volatility of the decision...

This paper considers a multi-period mean–variance portfolio selection problem with uncertain time-horizon in a regime-switching market, where the conditional distribution of the time-horizon is assumed to be stochastic and depends on the market states as the returns of risky assets do....

This paper considers the multi-period optimal strategies for an investment-only problem and an investment–consumption problem. The financial market is regime-switching and consists of one risk-free asset and multiple risky assets. The state process of the financial market is modeled by a...

This paper studies the optimal dividend strategies of an insurance company when the manager has time-inconsistent preferences. We consider the problem for a naive manager and a sophisticated manager, and analytically derive the optimal dividend strategies when claim sizes follow an exponential...

Density functional theory, high-level model chemistry at G3(MP2), CBS-Q, G3//B3LYP, G3(QCI) and QCISD(T)/aug-cc-pv5z levels of theory combined with statistical thermodynamics have been employed to explore the thermodynamic properties of gaseous SiC(X 3Π) and SiC(a 1Σ). The heat capacities...

This paper considers the optimal time-consistent investment and reinsurance strategies for an insurer under Heston’s stochastic volatility (SV) model. Such an SV model applied to insurers’ portfolio problems has not yet been discussed as far as we know. The surplus process of the insurer is...