Self-financing optimal investment problem is considered in an incomplete market. The general existence of optimal portfolios is discussed via variational method of stochastic optimal control and the theory of (forward-) backward stochastic differential equations.

Agriculture is of inestimable value to South Africa because it is a major source of job creation and plays a key role in earning foreign exchange. The most significant contribution of agriculture, and in particular maize, is its ability to provide food for the nation. For a number of decades...

This paper outlines the issues relevant to the operation of lottery games. We consider how such games should be designed, what a portfolio of games might look like, how the operator should be regulated, how spending on lottery games should be taxed, and what considerations are relevant to the...