Dissolved organic matter (DOM) could affect the immobilization of heavy metals (HMs) in soil by interacting with HMs or clay minerals. Here, three kinds of DOM derived from fresh chicken manure (FDOM), immature compost (IDOM) and mature compost (MDOM) were used to compare their effects on the...

A kind of worst-case value-at-risk, GVaR, is defined to measure risk incorporating model uncertainty. Compared with most extant notions of worst-case VaR, GVaR can be computed by an explicit formula, and can be applied to large portfolios of several hundreds dimensions with low computational...

We aim to calibrate stochastic volatility models from option prices. We develop an optimal control approach to recover the risk neutral drift term of stochastic volatility. An efficient numerical algorithm is given. Numerical results and empirical studies are presented to demonstrate our...

We propose an equilibrium model of exhaustible resources in a comprehensive setting, including exploration, stochastic demand, and stochastic reserve, by extending the models in Pindyck (1980) and Anderson, Kellogg, and Salant (2018). The production adjustments can be quite general, e.g., sudden...

We consider a long-term portfolio choice problem with two illiquid and correlated assets and formulate it as an eigenvalue problem in the form of a variational inequality. The eigenvalue is associated with the portfolio’s optimal long-term growth rate, and the free boundaries implied by the...