ω‐Homothetic Preferences: Theory and Applications

This paper develops a new class of homothetic preferences which generate Marshallian demand curves for individual goods which can be concave, convex or linear in own price under the assumption that agents treat aggregate price indices as given (as in Dixit‐Stiglitz, 1977). The preferences are represented by a cost function which has two parameters: one determining the curvature of the Marshallian demand; the other determining the elasticity of demand when all prices are equal. The elasticity of demand varies with relative prices. Illustrative examples are given of Cournot duopoly and exchange rate pass‐through.     

From post-Keynesian to historical price theory,part I: facts,theory and empirically grounded pricing model ∗

The paper develops an empirically grounded pricing model by first examining the business enterprise pricing equation and its empirical features, and then secondly examining the empirical properties of the prices set by the pricing equations. The third part of the paper is devoted to laying out the empirically grounded pricing model and then delineating its empirical and theoretical properties. The paper concludes that, since the pricing model is embedded in an empirical, historical context, it provides the basis for developing a historical theory of prices.     

Pricing and Informational Efficiency of the MIB30 Index Options Market. An Analysis with High‐frequency Data

We analyse the pricing and informational efficiency of the Italian market for options written on the most important stock index, the MIB30. We report that a striking percentage of the data consists of option prices violating basic no‐arbitrage conditions. This percentage declines when we relax the no‐arbitrage restrictions to accommodate the presence of bid/ask spreads and other frictions but never becomes negligible. We also investigate the informational efficiency of the MIBO and conclude that option prices are poor predictors of the volatility of MIB30 returns. This conclusion is robust to a number of statistical and sampling methods.
(J.E.L.: G13, G14).     

Foreign equity option pricing under stochastic volatility model with double jumps

This paper considers the challenging problem advocated by Huang and Hung (2005), that is to incorporate the stochastic volatility into the foreign equity option pricing. Foreign equity options (quanto options) are contingent claims where the payoff is determined by an equity in one currency but the actual payoff is done in another currency. Huang and Hung (2005) priced foreign equity options under the Lévy processes. In Huang and Hung's paper, they considered jumps in the foreign asset prices and exchange rates and assumed the volatility as constant. However, many studies showed that constant volatility and jumps in returns are incapable of fully capturing the empirical features of equity returns or option prices. In this paper, the stochastic volatility with simultaneous jumps in prices and volatility is proposed to model foreign asset prices and exchange rates. The foreign equity option pricing formula is given by using the Fourier inverse transformation. The numerical results show that the use of stochastic volatility with simultaneous jumps in prices and volatility proposed to model foreign asset prices and exchange rates is necessary and this approach can help us to capture more accurately the foreign equity option prices.     

Accounting for the impact of higher order moments in foreign equity option pricing model

This paper investigates the pricing of foreign equity option whose value depends on foreign equity prices and exchange rate. We assume that the underlying asset returns of foreign equity option is not a Brownian motion, and use the Gram-Charlier series expansion to augment a normal density with two additional terms to capture the effects of skewness and kurtosis. The empirical study shows that the higher order moments (skewness and kurtosis) clearly affect the estimated prices of foreign equity options. This approach enables us to capture more accurately the foreign equity option prices.     

Product differentiation, cost‐reducing mergers, and consumer welfare

Abstract.  Cost synergies are an explicitly recognized justification for a two‐firm merger, and empirical techniques are now widely used to assess the impact of cost‐reducing mergers on prices and welfare in the post‐merger market. We show that if the merger occurs in a vertically product differentiated market, then the merger will lead to a reduction in product offerings that limits the usefulness of pre‐merger empirical estimates. Indeed, we further show that in such markets, two‐firm mergers will typically lead to higher prices regardless of the merger's cost savings. JEL classification: L10, L41     

基于Poisson跳跃的信用价差期权定价

信用价差是用以向投资者补偿参照资产违约风险的、高于无风险利率的利差。信用价差期权作为风险控制的重要手段之一,其定价也日益得到人们的关注。现有文献几乎是单纯地利用几何布朗运动来刻画资产的价格变化过程从而对信用价差期权进行定价。而在实际中会出现某些不寻常的事件导致资产价格出现不间断的跳跃现象,普通的定价方法对这种现象的解释力度不够。因此本文引入Poisson跳跃来描述信用价差变化过程中的异常情况,更好地解释当遇到金融危机等情况时资产价值的跳跃现象。由于Longstaff和Schwartz的模型引入了随机利率,可以给出定价公式的封闭解析解的优点,本文在此模型上进行进行研究,将刻画信用价差动态过程的O-U过程与Poisson跳跃结合,利用伊藤公式进行推导并引入了利率的平方根过程,得到了欧式信用价差期权的定价公式,更好地考虑了资产价格的跳跃情况。     

A nonparametric kernel regression approach for pricing options on stock market index

Previous options studies typically assume that the dynamics of the underlying asset price follow a geometric Brownian motion (GBM) when pricing options on stocks, stock indices, currencies or futures. However, there is mounting empirical evidence that the volatility of asset price or return is far from constant. This article, in contrast to studies that use parametric approach for option pricing, employs nonparametric kernel regression to deal with changing volatility and, accordingly, prices options on stock index. Specifically, we first estimate nonparametrically the volatility of asset return in the GBM based on the Nadaraya–Watson (N–W) kernel estimator. Then, based on the N–W estimates for the volatility, we use Monte Carlo simulation to compute option prices under different settings. Finally, we compare the index option prices under our nonparametric model with those under the Black–Scholes model and the Stein–Stein model.     

Asset pricing theory and the valuation of Canadian paintings

Abstract.  The valuation of Canadian paintings is analysed empirically. Using a sample of auction prices for major Canadian painters for the period 1968–2001, we run hedonic regressions to analyse the influence of various factors, including painter identity, on auction prices, as well as to construct a market price index. This index is used in a second‐stage analysis in which we analyse the properties of Canadian art viewed as an investment asset. We apply standard asset pricing theory, as incorporated in the capital asset pricing model (CAPM), to the analysis of price movements in the market for Canadian paintings.     

Asymmetric Adjustment Costs, Asymmetric Pricing and Employment: Evidence from the UK

This paper uses an asymmetric multivariate model to investigate asymmetries in employment and pricing behaviour by firms. This generalises the approach of Granger and Lee (1989) and also exploits the cross equation restrictions on the equations for prices and employment implied by a restricted cost function—the dual to a Cobb‐Douglas production function. Our results suggest that both prices and employment respond asymmetrically to shocks to costs and demand.     

When redistribution makes personalized pricing of externalities useless

We consider a standard optimal taxation framework in which consumers' preferences are separable in consumption and labor and identical over consumption, but are affected by consumption externalities. For every nonlinear, income-dependent pricing of goods there is a linear pricing scheme, combined with an adjusted income tax schedule, that leaves all consumers equally well-off and weakly increases the government's budget. The result depends on whether a linear pricing scheme exists that keeps the aggregate amount of consumption at its initial level observed under nonlinear pricing. We provide sufficient conditions for the assumption to hold. If adjusting the income tax rate is not available, personalized prices for an externality can enhance social welfare if they are redistributive, that is, favor consumers with a larger marginal social value of income.     

Incomplete Information, Trading Costs and Cross‐autocorrelations in Stock Returns

This paper provides an economic rationale for the cross‐autocorrelation patterns in stock returns in the context of a microstructure model in which investors have incomplete information. The paper shows that in a market in which investors are informed about only a sub‐set of stocks, the emergence of lead‐lag, cross‐autocorrelations is a function of the cost of trading in other stocks based on information about the sub‐set of stocks. If cross‐trading costs are high, informed investors will trade only in the sub‐set of stocks they are informed about; if cross‐trading costs are moderate, informed investors will randomize between trading and not trading in other stocks; and if cross‐trading costs are low, they will trade in all stocks. When informed investors trade only in a sub‐set of stocks, prices of stocks with more informed trading will adjust to common factor information faster than the prices of stocks with less informed trading giving rise to asymmetric lead‐lag cross‐autocorrelations. When informed investors trade in all stocks, asymmetric lead‐lag cross‐autocorrelations will disappear as a result of their cross‐market arbitrage trading. These results provide a number of testable implications for lead‐lag cross‐autocorrelation patterns. The data is consistent with the empirical predictions .
(J.E.L.G12, G14).     

Canadian and U.S. financial markets: testing the international integration hypothesis under time‐varying conditional volatility

Abstract.  This paper evaluates the international integration hypothesis, that is, that risk‐adjusted anticipated returns are identical, even when financial instruments are traded in different countries. Under time‐varying conditional volatility, this hypothesis is tested by verifying the equality between domestic and foreign risk prices associated with a multi‐factor analytic specification. The maximum‐likelihood and Kalman‐filter estimates are used to assess the national risk prices and interpret the factors. Empirically, the integration of Canadian and U.S. financial markets depends on the risk prices of two factors, which are related to certain non‐monetary events and to the conduct of monetary policies. JEL classification: G15, C32     

Pricing currency options in a fractional Brownian motion with jumps

A new framework for pricing the European currency option is developed in the case where the spot exchange rate fellows a fractional Brownian motion with jumps. An analytic formula for pricing European foreign currency options is proposed using the equivalent martingale measure and the estimation method of parameters in the pricing model is given, enabling option prices to be computed efficiently and accurately. For the purpose of understanding the pricing model, some properties of this pricing model are discussed in the latter part of this paper. Finally, the numerical simulations illustrate that our model is flexible and easy to implement.     

The Co‐initial Swap Market Model

In this paper, we introduce a novel approach to the pricing and the risk management of generic European style interest‐rate derivatives. This new model has great flexibility and has the advantage of avoiding complex model calibration techniques typical of standard short‐rate models. Dynamics is assigned on a set of co‐initial forward swap rates, and arbitrage‐free restrictions are determined in a normal and lognormal setup. Model implementation and calibration are discussed, and details of two example applications are also presented.
(J.E.L.: G12, G13).     

Equilibria with Increasing Returns: Sufficient Conditions on Bounded Production Allocations

This paper deals with the existence of marginal pricing equilibrium or equilibrium with general pricing rules in an economy with increasing returns to scale or more general types of nonconvexities in production. Its main contribution is to demonstrate existence of equilibrium with bounded loss and survival assumptions required only on a bounded subset of production allocations. Furthermore, we require only a weakened form of the free‐disposal assumption and we also allow nonpositive prices.     

Equilibrium asset pricing under the Lévy process with stochastic volatility and moment risk premiums

In this paper, we extend Zhang, Zhao and Chang's (2012) production-based equilibrium asset pricing model from a jump diffusion setting to a Lévy process with stochastic volatility. This paper is a further extension of Fu and Yang (2012), which is under a Lévy process with a constant volatility. Using newly developed closed-form formulas of equity premium and pricing kernel, we are able to price Schouten's (2005) moment swaps analytically. Numerical results show that our pricing formula performs very well. Our model explains Zhao, Zhang and Chang's (2013) empirical observations on moment risk premiums.     

Stock Market Fluctuations and Money Demand in Italy, 1913–2003

This paper examines the impact of stock market fluctuations on money demand in Italy from a long‐run perspective. The money demand function estimated by Muscatelli and Spinelli (2000) for a long time span is utilized as a benchmark, adding to the specification information on share prices from the Milan Stock Exchange Reform of 1913 to recent years. For a shorter time period (1938–2003), annual observations on stock market capitalization and turnover velocity are also considered. The empirical findings suggest that stock market fluctuations help to explain temporary movements in liquidity preference, rather than its secular patterns. Overall, a positive association emerges between an index of stock market prices that includes dividends and real money balances; however, the estimated long‐run relationship is unstable. In a dynamic, short‐term specification of money demand, the estimated coefficient of deflated stock prices is positive, and therefore compatible with a wealth effect, in the years 1913–1980, while in the last two decades a substitution effect has prevailed and the correlation between money and share prices has been negative. This is likely to reflect a change in financial structure and the increasing role of opportunity costs defined over a wider range of assets. These results are confirmed by data on stock market capitalization. Moreover, in the recent period, stock market turnover and money growth are positively correlated .     

Money, capital, and real liquidity effects with habit formation

Abstract.  The money in utility model is reconsidered in the presence of endogenous labour and habits. With standard assumptions about preferences and a policy rule that sets the nominal interest rate by adjusting the growth rate of money, the model exhibits superneutrality in the steady state. Nevertheless, habits give rise to real liquidity effects in the short run. After an increase in the nominal interest rate, employment falls, resulting in a fall in capital accumulation and in the short‐ and long‐term real interest rates. The adjustment of the capital stock is non‐monotonic. Employment and the short‐ and long‐term real interest rates may also adjust non‐monotonically. JEL classification: E22, E52, E58     

Informed trade,uninformed trade and stock price delay

The probability of informed trading (PIN), a measure of information-based trading risk, has been broadly applied to empirical studies on asset pricing. However, it is still controversial whether PIN measures exclusively the risk of firm-specific private information or it also captures the private interpretation of market wide public information. This article examines the relevance of PIN to the delayed response of stock prices to market-wide information. We find that PIN significantly explains individual stock price delay even controlling for size, liquidity and risk, and low-PIN stock prices adjust to market information more rapidly not only because of a notably high level of informed trading but also an even much higher level of uninformed trading. Our findings support the notion that PIN also captures the private skilled interpretation of public common factor information by sophisticated investors, and provide new empirical evidence on how information-based trading affects the speed at which stock prices adjust to information.