Efficient Allocations with Hidden Income and Hidden Storage

We consider an environment in which individuals receive income shocks that are unobservable to others and can privately store resources. We provide a simple characterization of the unique efficient allocation of consumption in cases in which the rate of return on storage is sufficiently high or, alternatively, in which the worst possible outcome is sufficiently dire. We show that, unlike in environments without unobservable storage, the symmetric efficient allocation of consumption is decentralizable through a competitive asset market in which individuals trade risk-free bonds among themselves.     

IDENTIFICATION AND ESTIMATION OF EXCHANGE RATE MODELS WITH UNOBSERVABLE FUNDAMENTALS*

This article is concerned with issues of model specification, identification, and estimation in exchange rate models with unobservable fundamentals. We show that the continuous‐time model proposed by Gardeazabal, Regúlez, and Vázquez (International Economic Review 38 (1997), 389–404) is not identified and that this property is characteristic of the discrete‐time representation of the model that they used as the basis for estimation by simulated method of moments. We briefly discuss the implications of this result in the context of the asset‐market model of exchange rates with unobservable fundamentals.     

Does the early bird catch the worm? The effect of school starting age on educational attainment and labor market outcomes: Evidence from Chinese urban twins data

This paper estimates the effects of school starting age (SSA) on educational attainment and labor market outcomes by using unique urban adult twins data from China. Ordinary least squares (OLS) estimates indicate that late enrollment in primary school lowers years of education, earnings, wage rate, and probability of employment. However, when we use the within-monozygotic (MZ)-twin fixed effects method to exclude unobservable endowments and family factors, the effects of SSA on years of education become less negative. For earnings, wage rate, and the probability of employment, the within-twin fixed effects estimates become insignificant. The results indicate that a one-year delay in primary school starting age lowers schooling by 0.51 years but does not affect earnings, wage rate, or probability of employment. The difference between OLS and within-MZ-twin fixed effects estimates indicates that the negative return to SSA is due to unobservable family variables and omitted individual-specific endowments. We further find that the earlier primary school starters fail to obtain a level of education with high return. Specifically, early birds do not have a high probability of getting a vocational school degree or above.     

On the determinants of long-run inflation uncertainty: Evidence from a panel of 17 developed economies

Based on a cross section of 17 advanced economies and data for the period 1975 to 2015, we examine how the interaction between monetary policy and macroeconomic conditions affects inflation uncertainty in the long-term. We construct a proxy for the unobservable inflation uncertainty based on the slowly evolving long-term variance component of inflation from a Spline-GARCH model (Engle and Rangel, 2008). We show that long-run inflation uncertainty is high if an inflation-tolerant central bank governor is in power during a period of high inflation, if the policy rate is below the one that is prescribed by the Taylor rule and during times of heightened stock and exchange rate volatility.     

Individual protection against property crime: decomposing the effects of protection observability

Abstract.  We re-examine the efficiency of observable and unobservable crime protection decisions with new results and insights. Observable protection is unambiguously associated with a negative externality. At the individual level, it reduces the crime effort, but its unit payoff remains unchanged. Conversely, unobservable protection reduces the unit payoff and has no effect on the crime effort exerted, though it deters crime globally. A decrease in the global crime payoff is detrimental to a victim if protection is observable, while it is beneficial when unobservable. While observable protection has a positive diversion effect, it has the opposite effect when unobservable.     

Capital income taxation when inherited wealth is not observable

This paper extends the Atkinson-Stiglitz model of direct and indirect taxation to a dynamic setting with two unobservable characteristics: productive ability and inherited wealth. Bequests are motivated by the ‘joy of giving’. A child’s inheritance is a random variable with a probability distribution that depends on his parent’s investment in a ‘bequest technology’. Public borrowing is assumed and implies the modified golden rule. We study the optimal tax policy when two instruments are available: a non-linear (wage) income tax and a proportional tax on capital income. We show that the second instrument ought, in general, to be used but that the tax rate is not necessarily positive. However, a positive tax rate is more likely when there is a positive correlation between inherited wealth and innate ability.     

Heterogeneous Response to Marine Reserve Formation: A Sorting Model approach

The bioeconomic impacts of spatial fisheries management hinge on how fishing vessels reallocate their effort over space. However, empirical studies face two challenges: heterogeneous behavioral responses and unobservable resource abundance. This paper addresses these two problems simultaneously by using an unusual data set and an estimation technique developed in the industrial organization literature. We apply the methods to location and species choices in the Gulf of Mexico reef-fish fishery. The models are used to explore spatial effort substitution in response to two marine reserves. Individual attributes from a survey of vessel captains are linked to each fisherman’s observed daily trip information to control for observable heterogeneity. Some unobservable abundance information is captured by location- and species-specific constants and estimated by contraction mapping. The empirical results confirm that there is significant heterogeneity in fishermen’s response to the formation of marine reserves. They also show that ignoring unobservable abundance information will lead to significant bias in predicting spatial fishing effort.     

Buyer Liability and Voluntary Inspections in International Greenhouse Gas Emissions Trading: A Laboratory Study

This paper reports a preliminary laboratoryexperiment in which traders make investments toincrease the reliability of tradableinstruments that represent greenhouse gasemissions allowances. In one half of thesessions these investments are unobservable,while in the other half traders can invitecostless and accurate inspections that makereliability investments public. We implement abuyer liability rule, so that if emissionsreductions are unreliable (i.e., sellersdefault), the buyer of the allowances cannotredeem them to cover emissions. We find thatallowing inspections significantly increasesthe reliability investment rate and overallefficiency. Prices of uninspected allowancesusually trade at a substantial discount due tothe buyer liability rule, which provides astrong market incentive for sellers to investin reliability.     

Modifying Taylor reaction functions in the presence of the zero‐lower‐bound — Evidence for the ECB and the Fed

We propose an alternative way of estimating Taylor reaction functions if the zero‐lower bound on nominal interest rates is binding. This approach relies on tackling the real rather than the nominal interest rate. So if the nominal rate is (close to) zero central banks can influence the inflation expectations via quantitative easing. The unobservable inflation expectations are estimated with a state‐space model that additionally generates a time varying series for the equilibrium real interest rate and the potential output — both needed for estimations of Taylor reaction functions. We test our approach for the ECB and the Fed within the recent crisis. We add other explanatory variables to this modified Taylor reaction function and show that there are substantial differences between the estimated reaction coefficients in the pre‐ and crisis era for both central banks. While the central banks on both sides of the Atlantic act less inertially, put a smaller weight on the inflation gap, money growth and the risk spread, the response to asset price inflation becomes more pronounced during the crisis. However, the central banks diverge in their response to the output gap and credit growth.     

What drives the Bitcoin price? A factor augmented error correction mechanism investigation

This article aims to determine what drives the price of Bitcoin. To achieve this aim, a large set of data is analysed using VEC models augmented by factors representing unobservable economic forces. They have been obtained by means of principal component analysis. This method enables us to contribute to the existing literature on Bitcoin in two ways. First, we employ the dimension reduction technique to combine variables from several papers. Second, we estimate several unobservable economic concepts instead of utilizing proxy variables as is usually done. We find that the main factor driving the Bitcoin price is its popularity. Hence, our result not only confirms some previous findings but reinforces them by providing a better definition of popularity. Finally, we conclude that the Bitcoin price is not affected by supply and demand factors in the way that is natural for conventional currencies.     

Strategic Trading and Welfare in a Dynamic Market

This paper studies a dynamic model of a financial market with N strategic agents. Agents receive random stock endowments at each period and trade to share dividend risk. Endowments are the only private information in the model. We find that agents trade slowly even when the time between trades goes to 0. In fact, welfare loss due to strategic behaviour increases as the time between trades decreases. In the limit when the time between trades goes to 0, welfare loss is of order 1/ N , and not 1/ N ² as in the static models of the double auctions literature. The model is very tractable and closed-form solutions are obtained in a special case.     

A Base Model for Multifactor Specifications of the Term Structure

In this article, we aim to show that most of the recent multifactor specifications of the term structure can be traced back to a common general equilibrium model, based on an economy of the Cox, Ingersoll and Ross type. This base model of the term structure has a very general form and includes both square root and Gaussian dynamics of the underlying state variables. We establish a direct link among the state variables used in the different specifications of many multifactor models and analyse the structure of the resultant implied relationships. This technique has relevant implications from a practical point of view, as it can allow one to recover from the estimated coefficients of one model the implied value of the coefficients of other models. Moreover, it provides a way of recovering from the term structure the values of such unobservable variables as the real short rate and the expected inflation rate.
(J.E.L.: E43, G12).     

Liquidity, Trading Size, and the Co-existence of Dealership and Auction Markets

This paper analyses the co-existence of two markets for the same shares, a quote-driven market and an order-driven market, as observed for example for the trading of continental shares on the London SEAQ International. The focus is on the trade-off between the uncertain execution price faced by investors on an auction market and the implicit transaction cost represented by the spread in a dealer market. We obtain that those investors who desire to make large trades will prefer to trade with the dealer, while trades of smaller size will be carried out on the auction market. Moreover, we explicitly investigate the interrelations between the two markets showing that the pricing policy followed by a dealer depends on the conditions prevailing on the auction market.
(J.E.L: G10, D40)     

Liquid markets and competition

A market is liquid if no individual's actions have a big effect on the prices of goods traded in that market. Perfectly competitive markets are therefore perfectly liquid. It is well known that market liquidity can be achieved by increasing the number of traders so that individual trades are small compared to total trades. We show that even when there are only few traders, market liquidity can be achieved through large short sales in which net trades are small relative to gross trades. In particular, for a natural variant of the market game which permits unlimited short sales, we show that there is always a Nash equilibrium allocation arbitrarily close to a competitive equilibrium allocation. Of course, not all NE are near competitive. Only the large-short-sales NE are nearly liquid and hence close to CE.     

The heterogeneous volume-volatility relations in the exchange-traded fund market: Evidence from China

We decompose the trading volume of exchange-traded funds (ETFs) into specific components according to different triggers of trades: (i) private information, (ii) disagreement among investors due to their different opinions on public information or having different information, and (iii) investor impatience. Then we examine the particular impact of each type of ETF trade on the market volatility of the tracked index. Focusing on the three ETFs tracking the CSI 300, we show that ETF trades stemming from investor disagreement are a key determinant of CSI 300 volatility, dominating other factors considered. Liquidity ETF trades can partially explain CSI 300 volatility. However, little evidence supports a significant correlation between privately informed trades of ETFs and CSI 300 volatility.     

Commissions Matter: The Trading Behavior of Institutional and Individual Active Traders

We examine how commissions influence trading behavior by analyzing a unique data set of the equity trades of both individual and institutional active traders. Individual traders pay higher trading costs than institutional traders. As a result, they engage in more risky trading behaviors in order to cover these costs. Individual traders also trade significantly less because of their higher cost of trading. Individual traders tend to trade higher-priced stocks, hold their trades longer, and they experience much larger price swings than institutional traders. This leads individual traders to realize more dramatic gains and losses on their round-trips.     

Private protection and public policing

This paper looks at situations in which public and private protection are complementary, that is, when private protection must be coordinated with public protection to be effective. For example, home alarms deter theft by being connected to a local police station: if the police do not respond to a home alarm, the home alarm on its own is virtually useless in halting a crime in action. We make a distinction between gross and net complementarity and substitution, where the latter takes into account the effect on the crime rate. We show that when public and private protection are complements, the optimal provision of public protection trades off the manipulation effect of encouraging private protection with the compensatory effect of providing protection to households that do not privately invest. We discuss the implications of our results for policy and empirical research in this area.     

The Natural Rate of Unemployment in Australia: Estimates From a Structural Var

The concept of the natural rate of unemployment is widely used in the analysis and discussion of macroeconomic policy. It is, however, unobservable so that estimates of the natural rate are necessarily based on a particular theory of unemployment. Hence, measures of the natural rate, whether constant or time-varying, are necessarily model-dependent. Various series based on specific models have recently become available for Australia. We set out to compute a series for the natural rate based on a minimal theoretical structure captured by a two-variable structural vector-autoregressive (SVAR) model estimated using quarterly Australian data for the period 1978–1997. We assess the robustness of our estimates by varying both the theoretical restriction imposed on the model and the two variables included in the model. We find that the computed natural rate is quite sensitive to model specification, both in terms of the level and of the cyclical behaviour of the natural rate. We argue, however, that a particular variant of our model is strongly preferred to the others investigated. It produces an estimates natural rate series the behaviour of which is broadly consistent with that of series produced by others from more restrictive models.     

FIXED‐WAGES,WAGE DIFFERENTIALS AND WORKER HETEROGENEITIES

We study incentive‐compatible labour contracts in the case where individual productivity, preference for leisure and time preference rate are unobservable by the principal in a two‐period model. We first reduce this three‐dimensional problem to a standard one‐dimensional screening problem. Features of second‐best labour contracts provide a rationale for both fixed‐wages and wage differentials.