The most natural way of ordering portfolios is by comparing their payoffs. If a portfolio has a payoff higher than the payoff of another portfolio, then it is greater than the other portfolio. This order is called the portfolio dominance order. An important property that a portfolio dominance...

Minimum-cost portfolio insurance is an investment strategy that enables an investor to avoid losses while still capturing gains of a payoff of a portfolio at minimum cost. If derivative markets are complete, then holding a put option in conjunction with the reference portfolio provides...

In this article we study coherent risk measures in general economic models where the set of financial positions is an ordered Banach space E and the safe asset an order unit x0 of E. First we study some properties of risk measures. We show that the set of normalized (with respect to x0) price...