No-arbitrage criteria for financial markets with transaction costs and incomplete information

This note deals with criteria of absence of arbitrage opportunities for an investor acting in a market with frictions and having a limited access to the information flow. We develop a mathematical scheme covering major models of financial markets with transaction costs and prove several results including a criterion for the robust no-arbitrage property and a hedging theorem.      

Option pricing for GARCH-type models with generalized hyperbolic innovations

In this paper, we provide a new dynamic asset pricing model for plain vanilla options and we discuss its ability to produce minimum mispricing errors on equity option books. Given the historical measure, the dynamics of assets being modeled by Garch-type models with generalized hyperbolic innovations and the pricing kernel is an exponential affine function of the state variables, we show that the risk-neutral distribution is unique and again implies a generalized hyperbolic dynamics with changed parameters. We provide an empirical test for our pricing methodology on two data sets of options, respectively written on the French CAC 40 and the American SP 500. Then, using our theoretical result associated with Monte Carlo simulations, we compare this approach with natural competitors in order to test its efficiency. More generally, our empirical investigations analyse the ability of specific parametric innovations to reproduce market prices in the context of an exponential affine specification of the stochastic discount factor.     

Extracting Information from Options Markets: Smiles, State–Price Densities and Risk Aversion

In this paper, recent techniques of estimating implied information from derivatives markets are presented and applied empirically to the French derivatives market. We determine nonparametric implied volatility functions, state–price densities and historical densities from a high–frequency CAC 40 stock index option dataset. Moreover, we construct an estimator of the risk aversion function implied by the joint observation of the cross–section of option prices and time–series of underlying asset value. We report a decreasing implied volatility curve with the moneyness of the option. The estimated relative risk aversion functions are positive and globally consistent with the decreasing relative risk aversion assumption.     

Yield-factor volatility models

The term structure of interest rates is often summarized using a handful of yield factors that capture shifts in the shape of the yield curve. In this paper, we develop a comprehensive model for volatility dynamics in the level, slope, and curvature of the yield curve that simultaneously includes level and GARCH effects along with regime shifts. We show that the level of the short rate is useful in modeling the volatility of the three yield factors and that there are significant GARCH effects present even after including a level effect. Further, we find that allowing for regime shifts in the factor volatilities dramatically improves the model’s fit and strengthens the level effect. We also show that a regime-switching model with level and GARCH effects provides the best out-of-sample forecasting performance of yield volatility. We argue that the auxiliary models often used to estimate term structure models with simulation-based estimation techniques should be consistent with the main features of the yield curve that are identified by our model.     

Agricultural Trade Liberalisation in the 21st Century: Has It Done the Business?

Based on a novel, detailed, time‐consistent tariff database taking account of import protection developments in the agricultural sector since 2001, we propose a statistical decomposition of the changes in the various types of tariffs. The results show that the multilateral system has played a limited role in trade liberalisation over the period. Many countries have continued to apply much lower tariffs on agricultural products than their WTO ceilings. Moreover, there has been substantial unilateral dismantling of tariffs over the period, so that much of the liberalisation took place outside WTO and regional agreements. The number of regional trade agreements has surged, but their impact on applied agricultural tariffs has been limited. Finally, we investigate the tariffs, trade and production implications for food and agricultural products of two extreme scenarios in the future development of trade negotiations: an ambitious surge of regional agreements and a trade war within the WTO context.     

On the proportionality of EU spatial ex ante coexistence regulations: Reply

Desquilbet and Bullock (2010) criticize some aspects of our analysis of the European Union’s (EU) spatial ex ante coexistence regulations (SEACERs) of genetically modified (GM) and non-GM crops presented in Demont et al. (2009). We argue that, besides misinterpreting some of our original arguments, the authors propose a policy analysis framework which is inconsistent with the main goal of the EU’s SEACERs. Their example incorrectly suggests that SEACERs play an additional role of regulating non-GM crop supply on the market. This would be inefficient from a policy economics perspective, especially in an open economy where global trade is taken into account. Therefore, we argue that analyzing flexibility of SEACERs in a market framework could lead to erroneous conclusions and in that case a simple farm level analysis such as presented in Demont et al. (2009) is preferred.     

The Fear Premium and Daily Comovements of the S&P 500 E/P ratio and Treasury Yields before and during the 2008 Financial Crisis

I develop a new risk measure called the Total Fear Premium that generalizes Faugere‐Van Erlach (2009) and accounts for both flight‐to‐safety and flight‐to‐liquidity behavior. This new measure helps to explain why the daily S&P 500 forward earnings yield (E/P ratio) is strongly negatively correlated with daily Treasury yields of all maturities during the 2008 financial crisis, which is a reversal from the relation that prevailed before the crisis. The Total Fear Premium “mimics” the VIX during the financial crisis. Once the basic GARCH formulation modeling the interaction between the earnings yield and Treasury yields is augmented with the Total Fear Premium, the relation between the earnings yield and short‐term Treasury yields becomes significantly positive, in line with Fama's (1975) view that short‐term yields are good proxies for expected inflation. Two by‐products of this analysis are: 1) a new risk premium measure associated with flight‐to‐liquidity and 2) a new way to measure the inflation risk premium on a daily basis.     

Strategic complementarity of information in financial markets with large shocks

In a simple model of a frictionless financial market with rational agents, the value of private information increases when large discrete shocks independently affect the fundamental value of the asset and the exogenous trading. The complementarity in information gathering generates multiple equilibria.