Energy Absorption of Axially Compressed Circular Cylindrical Shells with Rigid Foam Cores

Information concerning energy absorption of axially compressed circular cylindrical shells with rigid foam cores is of interest for design and application of such devices, but is not readily available from the literature. To obtain such information a series of experiments was designed and performed. A description of the experiments and an evaluation of the results is contained herein. The interaction between the shell and core is described and the effect of core properties on the length of stroke obtainable is discussed

Convex Duality with Transaction Costs

Convex duality for two different super-replication problems in a continuous time financial market with proportional transaction cost is proved. In this market, static hedging in a finite number of options, in addition to usual dynamic hedging with the underlying stock, are allowed. The first one of the problems considered is the model-independent hedging that requires the super-replication to hold for every continuous path. In the second one the market model is given through a probability measure ℙ and the inequalities are understood the probability measure almost surely. The main result, using the convex duality, proves that the two super-replication problems have the same value provided that the probability measure satisfies the conditional full support property. Hence, the transaction costs prevents one from using the structure of a specific model to reduce the super-replication cost. </jats:p

Comparison of Option Prices in Semimartingale Models

Contingent claim valuation, Semimartingale model, Price orderings, Propagation of convexity, 91B28, 60J75, G13,