LIQUIDITY,MONEY CREATION AND DESTRUCTION,AND THE RETURNS TO BANKING*

We build on our earlier model of money in which bank liabilities circulate as a medium of exchange. We investigate optimal bank behavior and the resulting provision of liquidity under a range of central bank regulations. In our model, banks issue inside money under fractional reserves, facing the possibility of excess redemptions. Banks consider the float resulting from money creation and make reserve‐management decisions that affect aggregate liquidity conditions. Numerical examples demonstrate positive bank failure rates when returns to banking are low. Central bank interventions may improve banks' returns and welfare through a reduction in bank failure.     

Capitalization versus Expensing: Evidence on the Uncertainty of Future Earnings from Capital Expenditures versus R&D Outlays

We propose and implement a new method to estimate the relation between R&D investments and the uncertainty of future benefits from those investments. The empirical analysis compares the relative contributions of current investments in R&D and PP&E to future earnings variability using a sample of roughly 50,000 firm-year observations from 1972–1997. Evidence is strongly consistent with the hypothesis that R&D investments generate future benefits that are far more uncertain than benefits from investments in PP&E. Our results should help the current discussion on accounting for R&D and the methodology might be helpful in standard setting in other contexts as well.     

No‐arbitrage implies power‐law market impact and rough volatility

Market impact is the link between the volume of a (large) order and the price move during and after the execution of this order. We show that in a quite general framework, under no‐arbitrage assumption, the market impact function can only be of power‐law type. Furthermore, we prove this implies that the macroscopic price is diffusive with rough volatility, with a one‐to‐one correspondence between the exponent of the impact function and the Hurst parameter of the volatility. Hence, we simply explain the universal rough behavior of the volatility as a consequence of the no‐arbitrage property. From a mathematical viewpoint, our study relies, in particular, on new results about hyper‐rough stochastic Volterra equations.     

The Effect of the Hedge Horizon on Optimal Hedge Size and Effectiveness When Prices are Cointegrated

This study compares two alternative regression specifications for sizing hedge positions and measuring hedge effectiveness: a simple regression on price changes and an error correction model (ECM). We show that, when the prices of the hedged item and the hedging instrument are cointegrated, both specifications yield similar results which depend on the hedge horizon (i.e., the time frame for measuring price changes). In particular, the estimated hedge ratio and regression R² will both be small when price changes are measured over short intervals, but as the hedge horizon is lengthened both measures will converge toward one. These results imply that, when prices are cointegrated, a longer hedge horizon will yield an optimal hedge ratio closer to one, while at the same time enhancing the ability to qualify for hedge accounting. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 32:837–876, 2012     

A MODEL OF BUREAUCRACY AND CORRUPTION*

We analyze bureaucracy and corruption in a market with decentralized exchange and “lemons.” Exchange is modeled as a sequence of bilateral, random matches. Agents have private information about the quality of goods they produce and can supplement trade with socially inefficient bribes. Bureaucracy is modeled as a group of agents who enjoy centralized production and consumption. Transaction patterns between the bureaucracy and the private sector are fully endogenous. Centralized production and consumption in the bureaucracy give rise to low power incentives for the individual bureaucrats. As a result, private agents might bribe bureaucrats, whereas they do not bribe each other. An equilibrium with corruption and an equilibrium without corruption can coexist. We discuss some welfare implications of the model.     

Patent Breadth, Patent Life, and the Pace of Technological Progress

In active investment climates where firms sequentially improve each other's products, a patent can terminate either because it expires or because a non-infringing innovation displaces its product in the market. We define the length of time until one of these happens as the effective patent life, and show how it depends on patent breadth. We distinguish lagging breadth, which protects against imitation, from leading breadth, which protects against new improved products. We compare two types of patent policy with leading breadth: (1) patents are finite but very broad, so that the effective life of a patent coincides with its statutory life, and (2) patents are long but narrow, so that the effective life of a patent ends when a better product replaces it. The former policy improves the diffusion of new products, but the latter has lower R&D costs.     

The characteristic function of rough Heston models

It has been recently shown that rough volatility models, where the volatility is driven by a fractional Brownian motion with small Hurst parameter, provide very relevant dynamics in order to reproduce the behavior of both historical and implied volatilities. However, due to the non‐Markovian nature of the fractional Brownian motion, they raise new issues when it comes to derivatives pricing. Using an original link between nearly unstable Hawkes processes and fractional volatility models, we compute the characteristic function of the log‐price in rough Heston models. In the classical Heston model, the characteristic function is expressed in terms of the solution of a Riccati equation. Here, we show that rough Heston models exhibit quite a similar structure, the Riccati equation being replaced by a fractional Riccati equation.     

Attitudes toward outdoor recreation development: An application of social exchange theory

A research project was undertaken within a multi‐county region in southeastern Ohio to ascertain the attitudes of local residents toward future outdoor recreation development within the area. A systematic random sample of 1493 respondents was drawn from a five‐county region to test a theoretical perspective developed from selected components of social exchange theory. The findings demonstrated that the respondents held very favorable attitudes toward outdoor recreation development. Multivariate analysis of the data revealed that the theoretical model was basically supported. The findings are discussed from both applied and theoretical perspectives.