We look at the theory of arbitrage with taxation under certainty. The tax scale in our model is not linear. Under the premise that tax scale is convex, we analyze prices that do not exhibit arbitrage opportunities. It turns out that there are two kinds of arbitrage: unbounded as well as bounded...

Sovereign states issue fixed and floating securities to fund their public debt. The value of such portfolios strongly depends on the fluctuations of the term structure of interest rates. This is a typical example of planning under uncertainty, where decisions has to be drawn on the base of the...