Symmetry and duality in Lévy markets

The aim of this paper is to introduce the notion of symmetry in a Lévy market. This notion appears as a particular case of a general known relation between prices of put and call options, of both the European and the American type, which is also reviewed in the paper, and that we call put–call duality. Symmetric Lévy markets have the distinctive feature of producing symmetric smile curves, in the log of strike/futures prices.

Put–call duality is obtained as a consequence of a change of the risk neutral probability measure through Girsanov's theorem, when considering the discounted and reinvested stock price as the numeraire. Symmetry is defined when a certain law before and after the change of measure through Girsanov's theorem coincides. A parameter characterizing the departure from symmetry is introduced, and a necessary and sufficient condition for symmetry to hold is obtained, in terms of the jump measure of the Lévy process, answering a question raised by Carr and Chesney (American put call symmetry, preprint, 1996 Carr, P and Chesney, M. 1996. American put call symmetry. preprint [Google Scholar]). Some empirical evidence is shown, supporting that, in general, markets are not symmetric.     

Pricing Knowledge and Funding Research of New Technology Sectors in a Growth Model

A radical evolution in intellectual property law and practices has followed the rise in importance of new technology industries. Nowadays, many patents directly protect knowledge. To account for this evolution, we construct a simple R&D‐based growth model where pieces of knowledge are directly protected by patents. To deal with the nonconvexity property of technologies in which knowledge is an input and show how research can be funded privately, we construct a dynamic general equilibrium with Cournot competition and free entry where knowledge is exchanged on markets that can be subject to imperfect exclusion. Under the assumption of perfect exclusion, we show that research is funded optimally as the distortion caused by the knowledge spillover vanishes when markets are complete. We then argue and demonstrate that insufficient research investments leading to an insufficient level of growth can be explained by the public good nature of knowledge itself, i.e., the problem of imperfect exclusion faced by the sellers of knowledge.     

A stylized model of home buyers’ and bankers’ behaviours during the 2007-2009 US subprime mortgage crisis: a predatory perspective

We examine the behaviour of market agents during the years leading to the 2008 US subprime mortgage crisis using a stylized capital asset pricing model model. In our study, an average investor eager to make money by flipping houses meets a banker who offers him subprime mortgage deals. We refer to recent research that shows the mechanics of the psychological and behavioural components of these two market agents. In particular, much in line with the famous Stanford experiment, it is assumed that investors adopt a predator or a prey position. Our analysis shows that, given a historical tendency towards financial predatory acts on the part of market agents (including buyers), government regulations should be adapted and strengthened to face this dooming reality.     

Career Paths,Unemployment, and the Efficiency of the Labor Market: Should Youth Employment Be Subsidized?

This paper studies the implications of learning‐by‐doing on youth unemployment and market efficiency when workers benefiting from this kind of training experience search (while on the job) for a higher skill job. Firms with low‐skill jobs suffer from a poaching behavior by firms with high‐skill jobs, causing a shortage of low‐skill jobs and excessive youth unemployment. An optimal policy, consisting of taxing the output of high‐skill jobs and subsidizing the output of low‐skill jobs, restores market efficiency and reduces youth unemployment.     

Leadership in Public Good Provision: A Timing Game Perspective

We address in this paper the issue of leadership when two governments provide public goods to their constituencies with cross‐border externalities as both public goods are valued by consumers in both countries. We study a timing game between two different countries: before providing public goods, the two policymakers non‐cooperatively decide their preferred sequence of moves. We establish conditions under which a first‐ or second‐mover advantage emerges for each country, highlighting the role of spillovers and the complementarity or substitutability of public goods. As a result, we are able to prove that there is no leader when, for both countries, public goods are substitutable. When public goods are complements for both countries, each of them may emerge as the leader in the game. Hence a coordination issue arises. We use the notion of risk‐dominance to select the leading government. Finally, in the mixed case, the government for whom public goods are substitutable becomes the leader.     

Characterising Vulnerability to Poverty in Rural Haiti: A Multilevel Decomposition Approach

This article characterises vulnerability to poverty in Haiti using a unique survey conducted in 2007 in rural areas. In a first step, using two‐level linear random coefficient models of both per capita consumption and per capita income, the article assesses the impact of self‐reported shocks on households' economic well‐being. In a second step, the prediction model is used to calculate various measures of vulnerability to poverty, considering various types of shocks. Empirical findings show that self‐reported (or observable) idiosyncratic shocks, in particular health‐related shocks, have larger impact on vulnerability to poverty than observable covariate shocks. These results are in line with the fact that many households reported idiosyncratic health shocks as being the worst shocks they experienced. On the other hand, unobservable idiosyncratic shocks appear to have generally more influence on households' vulnerability to poverty than unobservable covariate ones. We also show that omitting self‐reported shocks in the analysis leads to an underestimate of households' vulnerability to poverty.     

Rolling Regression Analysis of the Pástor-Stambaugh Model: Evidence from Robust Instrumental Variables

The capital asset pricing model (CAPM), Fama-French (FF), and Pástor-Stambaugh (PS) factor models are examined using a new dynamic rolling regression version of the generalized method of moments (GMM) method. This rolling regression framework not only allows us to investigate phases of the business cycle, but also permits regression estimates to vary through time due to changes in the development and efficiency of the sectors. The principal reasons for using the dynamic GMM with robust instruments is that some of these factors are measured with errors and the disturbances may be non-spherical. The CAPM appears as the most parsimonious model to explain the FF sector returns. Furthermore, the rolling GMM approach is clearly more sensitive to dynamic financial episodes than the ordinary least squares approach. In particular, liquidity has some anticipatory power, as it is able to forecast the 2007–2009 crises with heightened volatility starting in late 2005.     

Forecasting Irregularly Spaced UHF Financial Data: Realized Volatility vs UHF-GARCH Models

A new literature has been recently devoted to the modeling of ultra-high-frequency (UHF) data. Our first aim is to develop an empirical application of UHF-GARCH models to forecast future volatilities on irregularly spaced data. We also compare the out-sample performance of these generalized autoregressive conditional heteroskedastic (GARCH) models with the realized volatility method. We propose a procedure to account for the time deformation problem and show how to use these models for computing daily Value at Risk (VaR).     

The size structure of manufacturing establishments and enterprises: An international comparison

The development of the size structure of manufacturing establishments in 18 countries is analyzed by use of employment data. The data base for investigation of changes from the beginning of this century up to World War II is not extensive, but after that a unified statistical system of data is available. The paper reviews to what extent pre-World Wor II trends survived and what new characteristics emerged after World War II in countries under different social systems. Some hypotheses concerning causes and effects of the examined phenomena are offered.     

Misspecified Recovery

Asset prices contain information about the probability distribution of future states and the stochastic discounting of those states as used by investors. To better understand the challenge in distinguishing investors' beliefs from risk‐adjusted discounting, we use Perron–Frobenius Theory to isolate a positive martingale component of the stochastic discount factor process. This component recovers a probability measure that absorbs long‐term risk adjustments. When the martingale is not degenerate, surmising that this recovered probability captures investors' beliefs distorts inference about risk‐return tradeoffs. Stochastic discount factors in many structural models of asset prices have empirically relevant martingale components.