The American frontier: Technology versus immigration

How important was international immigration for the US and its demography during the nineteenth century? This paper investigates, quantitatively, its effect on the westward movement of population and the regional and secular changes in fertility. Beside immigration, two alternative forces are considered: technological progress and the land policy (the Homestead Act). An optimal growth model with endogenous fertility and migration is calibrated, and counterfactual experiments reveal that the main driving forces were productivity growth and the declining cost of transportation. International immigration played a lesser role.     

A quantitative analysis of China's structural transformation

The structural transformation of China - or the reallocation of resources from the agricultural sector to the nonagricultural sector - between 1978 and 2003 was truly remarkable. We develop a two-sector neoclassical growth model to quantitatively assess the driving forces of China's recent structural transformation. In addition to the forces currently emphasized in the literature-sectoral productivity growth—we show that China's transformation was accelerated significantly by the gradual reduction in the relative size of the Chinese government. We find that the reduction in the size of the Chinese government accounted - by itself - for 15% of the reduction in the agricultural share of employment. Two mechanisms explain this: (i) in our model the lower tax rate associated with reduced intervention encouraged the accumulation of physical capital, which is produced in the nonagricultural sector; (ii) lower inefficiencies induced incomes to rise and, given our preferences, resulted in a disproportionate increase in the demand for the nonagricultural good.     

Building multivariate Sato models with linear dependence

The increased trading in multi-name financial products has required the development of state-of-the-art multivariate models. These models should be computationally tractable and, at the same time, flexible enough to explain the stylized facts of asset log-returns and of their dependence structure. The popular class of multivariate Lévy models provides a variety of tractable models, but suffers from one major shortcoming: Lévy models can replicate single-name derivative prices for a given time-to-maturity, but not for the whole range of quoted strikes and maturities, especially during periods of market turmoil. Moreover, there is a significant discrepancy between the moment term structure of Lévy models and the one observed in the market. Sato processes on the other hand exhibit a moment term structure that is more in line with empirical evidence and allow for a better replication of single-name option price surfaces. In this paper, we propose a general framework for multivariate models characterized by independent and time-inhomogeneous increments, where the asset log-return processes at unit time are modeled as linear combinations of independent self-decomposable random variables, where at least one self-decomposable random variable is shared by all the assets. As examples, we consider two general subclasses within this new framework, where we assume a normal variance-mean mixture with a one-sided tempered stable mixing density or a difference of one-sided tempered stable laws for the distribution of the risk factors. Particular attention is given to the models' ability to explain the asset dependence structure. A numerical study reveals the advantages of these new types of models.     

MEASURING LIMITS OF ARBITRAGE IN FIXED‐INCOME MARKETS

An emerging literature relies on an index of limits of arbitrage in fixed‐income markets. We analyze the benefits of an index that is model‐free, robust, and intuitive. This new index strengthens the evidence that limits of arbitrage proxy for risks priced in the cross‐section of returns. Trading simulations show that the new index improves identification of limits of arbitrage because it bypasses a noisy estimation step. Relative value indices in the United States, United Kingdom, Japan, Germany, Italy, France, Switzerland, and Canada exhibit strong commonality and high correlations with local volatility and funding conditions. The indices are updated regularly and available publicly.     

Competing through information provision

This paper studies the symmetric equilibria of a two-buyer, two-seller model of directed search in which sellers commit to information provision. More informed buyers have better differentiated private valuations and extract higher rents from trade. When sellers cannot commit to sale mechanisms, information provision is higher under competition than under monopoly. In contrast, when sellers commit to both information provision and sale mechanisms, I identify simple conditions under which sellers post auctions and provide full information in every equilibrium, ensuring that all equilibrium outcomes are constrained efficient. Sellers capture the efficiency gains from increased information and compete only over non-distortionary rents offered to buyers.     

Calibration risk: Illustrating the impact of calibration risk under the Heston model

It is already well documented that model risk is an important issue regarding the pricing of exotics (see Schoutens et al., in A perfect calibration! Now what?, Wilmott Magazine, March 2004: pp 66–78, 2004). Arguments have been made to put this into the perspective of bid-ask pricing using the theory of conic finance and pricing to acceptability (Cherny and Madan Review of Financial Studies, 22: 2571–2606, 2009). In this paper we show also the presence and importance of calibration risk. More particularly, we point out that a variety of plausible calibration methods lead again to serious price differences for exotics and different distributions of the P&L of the delta-hedging strategy. This is illustrated under the popular Heston stochastic volatility model, which is used among practitioners to price all kinds of exotic and structured products. This paper shows that it is prudent to take some additional safety margin into account for the pricing of these structured notes.     

Mean-reversion properties of implied volatilities

In this paper, we present a new stylized fact for options whose underlying asset is a stock index. Extracting implied volatility time series from call and put options on the Deutscher Aktien index (DAX) and financial times stock exchange index (FTSE), we show that the persistence of these volatilities depends on the moneyness of the options used for its computation. Using a functional autoregressive model, we show that this effect is statistically significant. Surprisingly, we show that the diffusion-based stochastic volatility models are not consistent with this stylized fact. Finally, we argue that adding jumps to a diffusion-based volatility model help recovering this volatility pattern. This suggests that the persistence of implied volatilities can be related to the tails of the underlying volatility process: this corroborates the intuition that the liquidity of the options across moneynesses introduces an additional risk factor to the one usually considered.     

Inflation and Unemployment in General Equilibrium*

When labor is indivisible, there exist efficient outcomes with some agents randomly unemployed, as in Rogerson (1988) . We integrate this idea into the modern theory of monetary exchange, where some trade occurs in centralized markets and some in decentralized markets, as in Lagos and Wright (2005) . This delivers a general equilibrium model of unemployment and money, with explicit microeconomic foundations. We show that the implied relation between inflation and unemployment can be positive or negative, depending on simple preference conditions. Our Phillips curve provides a long‐run, exploitable, trade‐off for monetary policy; it turns out, however, that the optimal policy is the Friedman rule.     

Monte Carlo Evaluation of Greeks for Multidimensional Barrier and Lookback Options

In this paper, we consider the problem of the numerical computation of Greeks for a multidimensional barrier and lookback style options: the payoff function depends in a rather general way on the minima and maxima of the coordinates of the d -dimensional underlying asset process. Using Malliavin calculus techniques, we derive additional weights that enable computation of the Greeks using Monte Carlo simulations. Numerical experiments confirm the efficiency of the method. This work is a multidimensional extension of previous results (see Gobet and Kohatsu-Higa 2001 ).     

On the financial balance of input–output constructs: revisiting an axiomatic evaluation

Financial balance is fundamental to input–output (IO) analysis, and consequently the respect of this balance is one of the dominant criteria in evaluating IO constructs. Kop Jansen, and ten Raa [(1990) The Choice of Model in the Construction of Input–Output Coefficients Matrices. International Economic Review 31, 213] proved that the byproduct-technology construct (BTC) and the industry-technology construct (ITC) do not generally conserve financial balance. In contrast, Majeau-Bettez et al. [(2016) When do Allocations and Constructs Respect Material, Energy, Financial, and Production Balances in LCA and EEIO? Journal of Industrial Ecology 20, 67–84] demonstrated that the BTC necessarily respects financial balance and that the ITC is always financially balanced when applied to data recorded in monetary units. The present article resolves this paradox.