The opportunities facing the investment decision maker in a farm finn operating under risk can be summarized in some cases in terms of "efficiency frontiers," the dimensions of which are the expected present value and the variance of the farm's future net returns. This article attempts to trace and define these frontiers in terms of deductible algebraic equations in simplified single-and multiperiod cases where the farm output level is determined by a single systematic input variable-capital-and a single random factor and where the functional relationship is Cobb-Douglas. It also attempts to outline, through simulation procedures, the frontiers pertaining to a "real world" case of a growing fann cum household unit. and A = a constant.The firm's net income denoted as N is where R is a given rate of remuneration.For the sake of simplicity, it is assumed that the input x is a stock of real assets paid for at the beginning of the production period. The entire stock perishes as the output value materializes at the end of that period. The rate of interest per period, denoted r, is given; thus, where y~O=output level measured in value terms at a given output price; x~O=input level measured in value terms at given input price; s = a nonnegative random variable (reflecting, for example, weather conditions) with an expected value E(z) = 1 and known variance q2; a = production elasticity of x where 0