Econometrics of Testing for Jumps in Financial Economics Using Bipower Variation

In this article we provide an asymptotic distribution theoryfor some nonparametric tests of the hypothesis that asset priceshave continuous sample paths. We study the behaviour of thetests using simulated data and see that certain versions ofthe tests have good finite sample behavior. We also apply thetests to exchange rate data and show that the null of a continuoussample path is frequently rejected. Most of the jumps the statisticsidentify are associated with governmental macroeconomic announcements.     

[Geometric Lévy Process & MEMM] Pricing Model and Related Estimation Problems

In this article the [Geometric Lévy Process & MEMM] pricingmodel is proposed. This model is an option pricing model for theincomplete markets, and this model is based on the assumptions that theprice processes are geometric Lévy processes and that the pricesof the options are determined by the minimal relative entropy methods.This model has many good points. For example, the theoretical part ofthe model is contained in the framework of the theory of Lévyprocess (additive process). In fact the price process is also aLévy process (with changed Lévy measure) under the minimalrelative entropy martingale measure (MEMM), and so the calculation ofthe prices of options are reduced to the computation of functionals ofLévy process. In previous papers, we have investigated thesemodels in the case of jump type geometric Lévy processes. In thispaper we extend the previous results for more general type of geometricLévy processes. In order to apply this model to real optionpricing problems, we have to estimate the price process of theunderlying asset. This problem is reduced to the estimation problem ofthe characteristic triplet of Lévy processes. We investigate thisproblem in the latter half of the paper.     

A Comparison of Option Prices Under Different Pricing Measures in a Stochastic Volatility Model with Correlation

This paper investigates option prices in an incomplete stochastic volatility model with correlation. In a general setting, we prove an ordering result which says that prices for European options with convex payoffs are decreasing in the market price of volatility risk.As an example, and as our main motivation, we investigate option pricing under the class of q-optimal pricing measures. The q-optimal pricing measure is related to the marginal utility indifference price of an agent with constant relative risk aversion. Using the ordering result, we prove comparison theorems between option prices under the minimal martingale, minimal entropy and variance-optimal pricing measures. If the Sharpe ratio is deterministic, the comparison collapses to the well known result that option prices computed under these three pricing measures are the same.As a concrete example, we specialize to a variant of the Hull-White or Heston model for which the Sharpe ratio is increasing in volatility. For this example we are able to deduce option prices are decreasing in the parameter q. Numerical solution of the pricing pde corroborates the theory and shows the magnitude of the differences in option price due to varying q.JEL Classification: D52, G13     

基于动态CGE模型的能源价格传导效应分析

从成本推动的视角出发,将能源放入一般均衡的框架,通过各种嵌套函数、税收和汇率转换等内在机理把价格之间的关系联系起来,对能源价格的传导机制进行理论分析;并将该分析框架纳入可计算一般均衡模型,定量分析能源价格变动的经济效应。研究结果显示,能源价格上涨对宏观经济具有紧缩作用,其中煤电价格对经济增长的紧缩作用比石油大;能源价格上涨导致第二产业内部发生较为明显的差异性变化,说明其对产业结构调整有明显作用,而这样的产业结构调整又会对各产业的耗能和污染排放的减少起到积极作用。     

On a rank-order test for the equality of probability of an event

Abstract

The following situation is considered. A fixed number (= n) or sequence of independent trials T ₁ T ₂,…, T _n is given, and in each of these an event E mayor may not occur, It is further observed that the event E occurs a total of k times amongst the n trials T _i , (i = l,…, n). It is then required to test the hypothesis H ₀ that the probability of the occurrence of E is constant from trial to trial, i.e. H ₀ is the hypothesis: p ₁ = p ₂ = ? = p _n = p, if p _n (i = 1, …, n) represents the probability that E occurs on the ith trial.     

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。     

Call Completeness Implies Completeness in the n-period Model of a Financial Market

In this paper an arbitrage-free n-period model of a financial market with a predictable, strictly positive numéraire and g risky assets is considered. Complete financial markets are of great practical relevance and of considerable theoretical interest, because in these markets one can find hedging strategies and unique arbitrage-free prices. In this paper complete financial markets are characterized by the simple condition of “call-completeness”.     

A Note on Option Pricing for the Constant Elasticity of Variance Model

We study the arbitrage free optionpricing problem for the constant elasticity of variance (CEV) model. To treatthestochastic aspect of the CEV model, we direct attention to the relationship between the CEV modeland squared Bessel processes. Then we show the existence of a unique equivalentmartingale measure and derive the Cox's arbitrage free option pricing formulathrough the properties of squared Bessel processes. Finally we show that the CEVmodel admits arbitrage opportunities when it is conditioned to be strictlypositive.     

What is the Natural Scale for a Lévy Process in Modelling Term Structure of Interest Rates?

This paper gives examples of explicit arbitrage-free term structure models with Lévy jumps via the state price density approach. By generalizing quadratic Gaussian models, it is found that the probability density function of a Lévy process is a “natural” scale for the process to be the state variable of a market.      

The Cost of Equity Capital at the Corporate and Investor Levels Allowing a Rational Expectations Model with Personal Taxations

This paper argues that the conventional definition of the cost of equity at the corporate level is likely to be fundamentally flawed under conditions of personal taxation. A 'dimensionally consistent' definition is developed utilising the pioneering contributions of Auerbach and Elton and Gruber. Consequent benefits are straight-forward expressions for the cost of equity capital at the corporate level (for both retained earnings and new equity) as well as at the investor level (post personal tax) in terms of both the dividend discount and CAPM-type models, which are applicable to classical and imputation tax systems. A fundamental framework is thereby provided which succeeds in illuminating investor pesonal tax liabilities as they might be expected to impact on a firm's investment and related dividend policies.     

Towards a general theory of bond markets

The main purpose of the paper is to provide a mathematical background for the theory of bond markets similar to that available for stock markets. We suggest two constructions of stochastic integrals with respect to processes taking values in a space of continuous functions. Such integrals are used to define the evolution of the value of a portfolio of bonds corresponding to a trading strategy which is a measure-valued predictable process. The existence of an equivalent martingale measure is discussed and HJM-type conditions are derived for a jump-diffusion model. The question of market completeness is considered as a problem of the range of a certain integral operator. We introduce a concept of approximate market completeness and show that a market is approximately complete iff an equivalent martingale measure is unique.     

Ritual legitimation, de-coupling and the budgetary process: managing organizational hypocrisies in a multinational company

The study of participation in the budgetary cycle has formed a prominent part of the research literature concerned with the budgetary process. More recently there has emerged a body of literature concerned with exploring the political and symbolic nature of the budgetary process. The paper reports upon the outcomes of an empirical study of the introduction of `budgetary participation' in a division of a European subsidiary of a large North American car manufacturer. We detail the long process of consultation and negotiation within the subsidiary, and between it and the European Headquarters. The study provides a revealing instance of the roles of formal budget participation as a ritual of control and legitimation without the substantive involvement of middle managers and suggested to us the introduction of de-coupling and organizational hypocrisy alongside the introduction of budget participation. The study pays close attention to the contingent effects of the wider political context of the division and the relationships between the division, its organizational context and organizational environment, and how this context played upon the budgetary process in the division. The outcomes that we analyse at `Delta' reflect the de-coupling strategies and organizational hypocrisies commonly found in public sector organizations. In this wider setting the corporation persists with the ritual of `tight' budget negotiation and target setting and apparent underachievement in performance. Yet we conclude that the complex technological and political context to the formation and siting of Delta continued and may continue to support its existence.$g0