Arbitrage pressures that could equalize closed-end fund share prices with fund portfolio values appear to be largely absent in an extensive data set. Observed fund behavior violates the static arbitrage bounds of Gemmill & Thomas (2002) and is inconsistent with the dynamic arbitrage bounds of Pontiff (1996). Furthermore, Fama & French (1992) regressions run on arbitrage portfolios designed to p...

This paper addresses the question of how an arbitrage-free semimartingale model is affected when stopped at a random horizon. We focus on No-Unbounded-Profit-with-Bounded-Risk (called NUPBR hereafter) concept, which is also known in the literature as the first kind of non-arbitrage. For this non-arbitrage notion, we obtain two principal results. The first result lies in describing the pairs of ...

It is well known that equilibrium asset prices will not offer arbitrage opportunities to individuals. Using an approach that dates back to Cass (1984) [4], we seek to isolate arbitrage free asset prices that are also equilibrium asset prices. However we do this when each agent’s portfolio choice is restricted to a closed, convex set containing zero (as in Siconolfi [23]). In the presence of suc...

A new general model for asset returns is studied in the framework of the Fractal Market Hypothesis (FMH). To accomodate markets with arbitrage opportunities it concerns capital market systems in which the Conditionally Exponential Dependence (CED) property can be attached to each investor on the market. Emploing the limit theorem for the CED systems, the universal characteristics for the distri...

We provide a critical analysis of the proof of the fundamental theorem of asset pricing given in the paper Arbitrage and approximate arbitrage: the fundamental theorem of asset pricing by B. Wong and C.C. Heyde (Stochastics, 2010) in the context of incomplete Itô-process models. We show that their approach can only work in the known case of a complete nancial market model and give an explicit c...

We construct a no-arbitrage model of bond prices where the long bond is used as a numeraire. We develop bond prices and their dynamics without developing any model for the spot rate or forward rates. The model is arbitrage free and all nominal interest rates remain positive in the model. We give examples where our model does not have a spot rate; other examples include both spot and forward rates.

We study the stability of several no-arbitrage conditions with respect to absolutely continuous, but not necessarily equivalent, changes of measure. We rst consider models based on continuous semimartingales and show that no-arbitrage conditions weaker than NA and NFLVR are always stable. Then, in the context of general semimartingale models, we show that an absolutely continuous change of meas...

We study the convexity property of the set QF of arbitrage-free prices of a multiperiod financial structure F . The set of arbitrage-free prices is shown to be a convex cone under conditions on the financial stucture F that hold in particular for short lived assets. Furthermore, we provide examples of equivalent financial structures F and F ′ such that QF is a convex cone, but QF ′ is neither c...

In this article, we show how to calibrate the widely-used SVI parameterization of the implied volatility smile in such a way as to guarantee the absence of static arbitrage. In particular, we exhibit a large class of arbitrage-free SVI volatility surfaces with a simple closed-form representation. We demonstrate the high quality of typical SVI fits with a numerical example using recent SPX optio...

Asset/Liability management, optimal fund design and optimal portfolio selection have been key issues of interest to the (re)insurance and investment banking communities, respectively, for some years especially in the design of advanced risktransfer solutions for clients in the Fortune 500 group of companies. Building on the new concept of limited risk arbitrage investment management in a diffus...