This paper extends the closed-form solution for options with stochastic volatility to the multi-asset framework,And introduces a risk premium into the return equation and considers Wishart dynamics for the process of the stochastic volatility matrix,which is the multi-asset analogue of the model of Cox and Ross.Moreover,it extends Merton's model for corporate default to a framework with stochastic liability.At last,we analyze the applicability and stability of the solutions by numerical simulati...