This paper addresses the hedging of bond portfolios interest rate risk by drawing on the classical one period no-arbitrage approach of Financial Economics (Ingersoll (1987)). Under quite weak assumptions on the interest rate behavior several shadow riskless assets are introduced by means of...

The optimal reinsurance problem is a classic topic in Actuarial Mathematics. Recent approaches consider a coherent or expectation bounded risk measure and minimize the global risk of the ceding company under adequate constraints. However, there is no consensus about the risk measure that the...

The equivalence between the absence of arbitrage and the existence of an equivalent martingale measure fails when an infinite number of trading dates is considered. By enlarging the set of states of nature and the probability measure through a projective system of topological spaces and Radon...

This paper empirically tests the level of sequential arbitrage in the Spanish bond market. The test is implemented by drawing on default free and option free pure discount and coupon bonds issued by the Spanish government. This fact seems to be a clear distinction between this paper and the...

This paper studies a portfolio choice problem such that the pricing rule may incorporate transaction costs and the risk measure is coherent and expectation bounded. We will prove the necessity of dealing with pricing rules such that there are essentially bounded stochastic discount factors,...

This paper has considered a risk measure ? and a (maybe incomplete and/or imperfect) arbitrage-free market with pricing rule p. They are said to be compatible if there are no reachable strategies y such that p (y) remains bounded and ?(y) is close to - 8. We show that the lack of compatibility...

We develop a mathematical programing approach in order to measure the arbitrage size in bond markets. Transaction costs may be incorporated. The obtained arbitrage measures have two interesting interpretations. On the one hand they provide the highest available arbitrage profit with respect to...

This paper deals with the optimal reinsurance problem if both insurer and reinsurer are facing risk and uncertainty, though the classical uncertainty free case is also included. The insurer and reinsurer degrees of uncertainty do not have to be identical. The decision variable is not the...

Risk measures beyond the variance have shown theoretical advantages when addressing some classical problems of Financial Economics, at least if asymmetries and/or heavy tails are involved. Nevertheless, in portfolio selection they have provoked several caveats such as the existence of good deals...

A new methodology to construct synthetic volatility derivatives is presented. The underlying asset price process is very general, since equity, commodities and interest rates are included. The focus is on volatility swaps and volatility swap options, but much more derivatives may be considered....