Pairs trading

‘Pairs Trading’ is an investment strategy used by many Hedge Funds. Consider two similar stocks which trade at some spread. If the spread widens short the high stock and buy the low stock. As the spread narrows again to some equilibrium value, a profit results. This paper provides an analytical framework for such an investment strategy. We propose a mean-reverting Gaussian Markov chain model for the spread which is observed in Gaussian noise. Predictions from the calibrated model are then compared with subsequent observations of the spread to determine appropriate investment decisions. The methodology has potential applications to generating wealth from any quantities in financial markets which are observed to be out of equilibrium.     

Are RiskMetrics forecasts good enough? Evidence from 31 stock markets

Academic research has highlighted the inherent flaws within the RiskMetrics model and demonstrated the superiority of the GARCH approach in-sample. However, these results do not necessarily extend to forecasting performance. This paper seeks answer to the question of whether RiskMetrics volatility forecasts are adequate in comparison to those obtained from GARCH models. To answer the question stock index data is taken from 31 international markets and subjected to two exercises, a straightforward volatility forecasting exercise and a Value-at-Risk exceptions forecasting competition. Our results provide some simple answers to the above question. When forecasting volatility of the G7 stock markets the APARCH model, in particular, provides superior forecasts that are significantly different from the RiskMetrics models in over half the cases. This result also extends to the European markets with the APARCH model typically preferred. For the Asian markets the RiskMetrics model performs well, and is only significantly dominated by the GARCH models for one market, although there is evidence that the APARCH model provides a better forecast for the larger Asian markets. Regarding the Value-at-Risk exercise, when forecasting the 1% VaR the RiskMetrics model does a poor job and is typically the worst performing model, again the APARCH model does well. However, forecasting the 5% VaR then the RiskMetrics model does provide an adequate performance. In short, the RiskMetrics model only performs well in forecasting the volatility of small emerging markets and for broader VaR measures.     

Trading costs, liquidity, and asset holdings

In this article I develop a model that accounts for interdependencebetween trading costs in various asset markets arising fromthe optimizing behavior of liquidity traders. The model suggeststhat noise trading is an important determinant of the liquidityof asset markets and provides a positive theory for diversifiedasset holdings by risk-neutral liquidity traders.     

Durable‐goods oligopoly with secondary markets: the case of automobiles

We study the effects of durability and secondary markets on equilibrium firm behavior in the car market. We construct a dynamic oligopoly model of a differentiated product market to incorporate the equilibrium production dynamics that arise from the durability of the goods and their active trade in secondary markets. We derive an econometric model and estimate its parameters using data from the automobile industry over a 20‐year period. Our estimates are used to provide a measure of the competitive importance of the secondary market.     

Stickiness of Rental Rates and Developers’ Option Exercise Strategies

In this study we incorporate sticky rents into a real options model to rationalize the widely documented overbuilding puzzle in real estate markets. Given the assumption that developers’ objective function is to maximize total revenue by selecting an optimal occupancy level, our model provides a better explanation of the phenomena we observed in the real world than the traditional market-clearance based real options models. We also show that developers’ exercise strategies can be affected by the size and the type of property markets. In other words, developers’ exercise strategies could differ among markets and under different conditions. Submitted to Cambridge—Maastricht 2005 Symposium.     

Corporate risk management,product market competition,and disclosure

This paper studies the effects of hedge disclosure requirements on corporate risk management and product market competition. The analysis is based on a model of market entry and shows that to prevent entry incumbent firms engage in risk management when these activities remain unobserved by outsiders. In the resulting equilibrium, financial markets are well informed and entry is efficient. However, potential attempts for more transparency by additional disclosure requirements introduce a commitment device that provides incumbents with incentives to distort risk management activities thereby influencing entrant beliefs. In equilibrium, firms engage in significant risk-taking. This behavior limits entry and adversely affects the nature of competition in industries.     

Option Exercise Games: An Application to the Equilibrium Investment Strategies of Firms

Under the standard real options approach to investment underuncertainty, agents formulate optimal exercise strategies inisolation and ignore competitive interactions. However, in manyreal-world asset markets, exercise strategies cannot be determinedseparately, but must be formed as part of a strategic equilibrium.This article provides a tractable approach for deriving equilibriuminvestment strategies in a continuous-time Cournot–Nashframework. The impact of competition on exercise strategiesis dramatic. For example, while standard real options modelsemphasize that a valuable "option to wait" leads firms to investonly at large positive net present values, the impact of competitiondrastically erodes the value of the option to wait and leadsto investment at very near the zero net present value threshold.     

Forced Development and Urban Land Prices

This paper examines the distortions in property markets resulting from government actions to alleviate externalities associated with vacant lots. Using an equilibrium based real option model, the analysis indicates that announcement of a program of forced development may actually delay market-based development. By incorporating externalities associated with vacant lots into the model, the analysis indicates that owners of neighboring developed property benefit suggesting such programs will be politically popular.     

Banks,financial markets,and social welfare

This paper constructs a general equilibrium model of banking and financial markets. The model allows to compare financial systems in which banks have access to financial markets with financial systems in which banks do not have access to financial markets. Allen and Gale [A welfare comparison of intermediaries and financial markets in Germany and the US. European Economic Review 39 (1995) 179–209] find that the Anglo-Saxon model of financial intermediation in which financial markets play a dominant role does not necessarily improve social welfare in comparison with the German model in which banks dominate. Our model provides a theoretical foundation for this view.     

中国股市羊群效应的区制转移时变性研究

传统研究采用静态CCK模型检验股票市场的羊群效应,但无法描述羊群行为的动态变化以及市场可能受到的外部影响。本文基于中国股市日频交易数据,在静态CCK模型中引入参数的区制转移性质识别股市在不同状态间的转换,并分析中国股市羊群效应和交叉羊群效应的时变特征。研究表明,中国股市运行周期可被划分为两个区制,分别呈现低波动和高波动的行情特征;羊群效应的程度随区制转移而变化,具有区制依存性。其中,沪深股市在高(低)波动区制中,羊群效应更强(弱),相应区制持续时间较短(长);中国台湾股市仅在高波动区制中出现羊群效应,相应区制持续时间较短;中国香港股市无论在低波动区制或是高波动区制中,均不存在羊群效应。此外,沪深A股在低波动区制中对美国股市和中国香港股市存在交叉羊群效应。     

An empirical model of search with vertically differentiated products

This article provides a framework for studying price dispersion in markets with product differentiation and search frictions. We show under which assumptions we can obtain an equilibrium in which vertically differentiated firms mix prices over different supports. The model can explain the frequently changing prices reported in several empirical studies, but also why some firms have persistently higher prices than others. We show how to estimate the model by maximum likelihood using only prices. Estimates for grocery items in the United Kingdom reveal that most of the observed price variation is explained by supermarket heterogeneity rather than search frictions, whereas the estimated amount of search is low.     

Option pricing: A general equilibrium approach

This article examines option valuation in a general equilibrium framework. We focus on the general equilibrium implications of price dynamics for option valuation. The general equilibrium considerations allow us to derive an alternative option valuation formula that is as simple as the Black and Scholes formula, and that exhibits different behavior with respect to the exercise price and time to expiration. They also help us clarify comparative-statics properties of option valuation formulas in general and of the Black and Scholes model in particular.     

What’s wrong with Pittsburgh? Delegated investors and liquidity concentration

What makes an asset institutional quality? This paper proposes that one reason is the existing concentration of delegated investors in a market through a liquidity channel. Consistent with this intuition, it documents differences in investor composition across US cities and shows that delegated investors concentrate their investments in cities with higher turnover. It then estimates a search model showing how heterogeneity in liquidity preferences makes some markets more liquid, even when assets have identical cash flows. The paper provides evidence for clientele equilibria arising in frictional asset markets and suggests that a liquidity channel may explain divergent paths in city development.     

Noise and aggregation of information in large markets

We study the relation between noise (liquidity traders, endowment shocks) and the aggregation of information in financial markets with large number of agents. We show that as long as noise increases with the number of agents, the limiting equilibrium is well-defined and leads to non-trivial information acquisition, even when per-capita noise tends to zero. In such equilibrium risk sharing and price revelation play different roles than in the standard limiting economy in which per-capita noise is finite. We apply our model to study information sales by a monopolist, and information acquisition in multi-asset markets, showing that it leads to qualitatively different results with respect to those in the existing literature. Our conditions on noise are shown to be necessary and sufficient to have limiting economies with perfectly competitive behavior consistent with endogenous information acquisition.     

Short-run disequilibrium adjustment and long-run equilibrium in the international stock markets: A network-based approach

In this paper, we propose a network-based analytical framework that exploits cointegration and the error correction model to systematically investigate the directions and intensities in terms of the short-run disequilibrium adjustment towards long-run equilibrium affecting the international stock markets during the period of 5 January 2007 to 30 June 2017. Under this setting, we investigate whether and how the cross-border directional interconnectedness within the world’s 23 developed and 23 emerging stock markets altered during the entire period of 2007–2017, and two specific periods of 2007–2009 Global Financial Crisis and 2010–2012 European Sovereign Debt Crisis. The main results indicate that the magnitude of the short-run disequilibrium adjustment towards long-run equilibrium for individual stock markets is not homogeneous over different time scales. We report that the changes in directional interconnectedness within stock markets worldwide did occur under the impact of the recent financial crises. The derived networks of stock markets interconnectedness allow us to visually characterize how specific stock markets from different regions form interconnected groups when exhibiting similar behaviours, which none the less provides significant information for strategic portfolio and risk management.     

Equilibrium Exhaustible Resource Price Dynamics

We develop equilibrium models of exhaustible resource markets with endogenous extraction choices and prices. Our analysis demonstrates how adjustment costs can generate oil and gas forward price dynamics with two factors, consistent with the behavior these commodities exhibit in the Schwartz and Smith (2000) calibration. Our two‐factor model predicts that stochastic volatility will arise in these markets as a natural consequence of production adjustments, however, and we provide supporting empirical evidence. Differences between endogenous price processes from our general equilibrium model and exogenous processes in earlier papers can generate significant differences in both financial and real option values.     

Forward exchange rates in general equilibrium

This paper develops a two-country, overlapping-generations model of an economy with a forward market in foreign exchange. The equilibrium forward rate exhibits the conventional decomposition into the expected future spot rate, a convexity term and a risk premium. Unlike partial equilibrium models, however, the model expresses these terms as functions of the primitive structural parameters of the economy. It thus provides insights into the structure of the premium which may facilitate interpretation of empirical studies of the forward markets. In particular, it suggests that time-varying risk premia may arise from changes in the distribution of wealth between countries over time.     

Equilibrium traits of durable commodity money

A dynamic model of utility-maximizing agents explains why scarce, durable commodities are typically monetary. The model provides quantitative criteria for distinguishing between monetary and non-monetary durables, and is also used to analyze symmetallic equilibria.The model is then extended to analyze commodity-backed paper money. It is demonstrated that the backing generates trust in the paper money in the dynamic-consistency sense. The model predicts regular devaluations as an equilibrium phenomenon, but finds such behavior to be efficient. Finally, the results are integrated to make a technical point about dynamic models of pure fiat money.     

The multinational bank: A financial MNC?

The theory of non-financial multinational corporations is applied to the multinational commercial bank. The incentives toward multinationality that characterize the expansion of non-financial firms have their counterparts in multinational banks. The theory of the MNC provides a useful basis for the development of a theory of the multinational bank when the subsidiary offices operate in foreign financial markets. When banks' foreign subsidiaries operate in supranational markets (such as the Eurocurrency markets), there is little or no equivalence because the multinational banks compete only among themselves: there is no competition with indigenous firms. The supranational markets give rise to a distinct type of subsidiary. These banking offices and the markets in which they operate serve to integrate national capital and money markets with some possible endangerment to the stability of the international financial system.     

Exercise behavior,valuation, and the incentive effects of employee stock options

We use a large database on ESO exercises to document characteristics of exercise behavior and calibrate a utility-based model for measuring how differences in exercise behavior are manifested in option values and incentives. Option values and incentives computed from the model calibrations are compared to those computed from models used to value tradable options. Our analysis provides guidance to both academics and practitioners about how differences in exercise behavior and model choice affect measures of ESO values and incentives, and underscores the importance of gaining a thorough understanding of the underlying economic forces that affect the behavior of ESO holders.