This paper considers a world in which pension funds may default, the cost of the associated risk of default is not borne fully by the sponsoring corporation, and there are differential tax effects. The focus is on ways in which the wealth of the shareholders of a corporation sponsoring a pension...

An individual is said to be potentially miscalibrated if he is not sure whether his future subjective probability assessments will agree with observed frequency. Alternately, the individual is said to be uncertain about his own calibration. It is argued that such a person will never perceive any...

We consider a two-dimensional diffusion process Z(t) = [Z1(t), Z2(t)] that lives in the half strip {0 [less-than-or-equals, slant] Z1 [less-than-or-equals, slant] 1, 0 [less-than-or-equals, slant] Z2 < [infinity]}. On the interior of this state space, Z behaves like a standard Brownian motion (independent components with zero drift and unit variance), and there is instantaneous reflection at the boundary. The reflection is in a direction normal to the boundary at Z1 = 1 and Z2 = 0, but at Z1 = 0 the reflection is at an angle [theta] below the normal (0<[theta]<[theta]). This process Z is shown to arise as the diffusion limit of a certain tandem storage or queuing system. It is shown that Z(t) has a nondefective limit distribution F as t --> [infinity], and the marginal distributions of F are computed explicitly. The marginal limit...</[infinity]}.>

Consider a storage system (such as an inventory or bank account) whose content fluctuates as a Brownian Motion X = {X(t), t [greater-or-equal, slanted] 0} in the absence of any control. Let Y = {Y(t), t [greater-or-equal, slanted] 0} and Z = {Z(t), t [greater-or-equal, slanted] 0} be...

We consider a generalization of the classical model of collective risk theory. It is assumed that the cumulative income of a firm is given by a process X with stationary independent increments, and that interest is earned continuously on the firm's assets. Then Y(t), the assets of the firm at...