Flexible multivariate GARCH modeling with an application to international stock markets

The goal of this paper is to estimate time-varying covariance matrices.Since the covariance matrix of financial returns is known to changethrough time and is an essential ingredient in risk measurement, portfolioselection, and tests of asset pricing models, this is a very importantproblem in practice. Our model of choice is the Diagonal-Vech version ofthe Multivariate GARCH(1,1) model. The problem is that the estimation ofthe general Diagonal-Vech model model is numerically infeasible indimensions higher than 5. The common approach is to estimate more restrictive models which are tractable but may not conform to the data. Our contributionis to propose an alternative estimation method that is numerically feasible,produces positive semi-definite conditional covariance matrices, and doesnot impose unrealistic a priori restrictions. We provide an empiricalapplication in the context of international stock markets, comparing thenew estimator to a number of existing ones.

Dynamic higher order expectations

In models where privately informed agents interact, agents may need to formhigher order expectations, i.e. expectations of other agents' expectations. This paper develops a tractable framework for solving and analyzing linear dynamic rational expectationsmodels in which privately informed agents form higher order expectations. The frameworkis used to demonstrate that the well-known problem of the infinite regress of expectationsidentified by Townsend (1983) can be approximated to an arbitrary accuracy with a finitedimensional representation under quite general conditions. The paper is constructive andpresents a fixed point algorithm for finding an accurate solution and provides weak conditions that ensure that a fixed point exists. To help intuition, Singleton's (1987) asset pricingmodel with disparately informed traders is used as a vehicle for the paper.

Betting on Hitler: The value of political connections in Nazi Germany

This paper examines the value of connections between German industry andthe Nazi movement in early 1933. Drawing on previously unused contemporarysources about management and supervisory board composition and stock returns,we find that one out of seven firms, and a large proportion of the biggest companies,had substantive links with the National Socialist German Workers Party. Firmssupporting the Nazi movement experienced unusually high returns, outperformingunconnected ones by 5% to 8% between January and March 1933. These resultsare not driven by sectoral composition and are robust to alternative estimatorsand definitions of affiliation.

Long run relationships and price rigidity

I study a repeated buyer-seller relationship for the exchange of a givengood. Asymmetric information over the buyer's reservation price, which issubject to random shocks, may lead the seller to use a rigid pricing policydespite the possibility of making higher profits through price discriminationacross the different satates of the buyer's reservation price. The existence of a flexible price subgame perfect equilibrium is shown for the buyerssufficiently locked-in. When the seller faces a population of buyers whose degree of involvmentin the relatioship is unknown, the flexible price equilibrium is notnecessarily optimal. Thus tipically the seller will prefer to use therigid price strategy. A learning process allowing the seller to screenthe population of buyers is derived abd the existence of a switching pointbetween the two regimes (i.e. price rigidity and price felxibility) isshown.

Bundling and competition for slots: On the portfolio effects of bundling

We consider competition among sellers when each of them sells a portfolio ofdistinct products to a buyer having limited slots. We study how bundling affectscompetition for slots. Under independent pricing, equilibrium often does not existand hence the outcome is often inefficient. When bundling is allowed, each sellerhas an incentive to bundle his products and an efficient equilibrium always exists.Furthermore, in the case of digital goods, all equilibria are efficient if slotting contracts are prohibited. We also identify portfolio effects of bundling and analyze theconsequences on horizontal mergers. Finally, we derive clear-cut policy implications.

Sequential screening

We present a model of price discrimination where a monopolistfaces a consumer who is privately informed about thedistribution of his valuation for an indivisible unit ofgood but has yet to learn privately the actual valuation.The monopolist sequentially screens the consumer with amenu of contracts:the consumer self-selects once by choosing a contract andthen self-selects again when he learns the actual valuation. A deterministic sequential mechanism is a menu of refundcontracts, each consisting of an advance payment and a refundamount in case of no consumption, but sequential mechanismsmay involve randomization.We characterize the optimal sequential mechanism when someconsumer types are more eager in the sense of first-orderstochastic dominance, and when some types face greatervaluation uncertainty in the sense of mean-preserving-spread.We show that it can be optimal to subsidize consumer typeswith smaller valuation uncertainty (through low refund, as inairplane ticket pricing) in order to reduce the rent to thosewith greater uncertainty. The size of distortion depends bothon the type distribution and on how informative the consumer'sinitial private knowledge is about his valuation, but noton how much he initially knows about the valuation per se.

A two-mean reverting-factor model of the term structure of interest rates

This paper presents a two--factor model of the term structure ofinterest rates. We assume that default free discount bond prices aredetermined by the time to maturity and two factors, the long--term interestrate and the spread (difference between the long--term rate and theshort--term (instantaneous) riskless rate). Assuming that both factorsfollow a joint Ornstein--Uhlenbeck process, a general bond pricing equationis derived. We obtain a closed--form expression for bond prices andexamine its implications for the term structure of interest rates. We alsoderive a closed--form solution for interest rate derivatives prices. Thisexpression is applied to price European options on discount bonds andmore complex types of options. Finally, empirical evidence of the model'sperformance is presented.

Incentives and pharmaceutical reimbursement reforms in Spain

The aim of this paper is to assess whether cost-containment has beenaffected by recent pharmaceutical reimbursement reforms that have beenintroduced in the Spanish health care system over the period 1996-2002,under the conservative Popular Party government. Four main reimbursementpolicies can be observed in the Spanish pharmaceutical market after1996, each of them largely unintegrated with the other three. First, asecond supplementary negative list of excluded pharmaceutical productswas introduced in 1998. Second, a reference pricing system wasintroduced in December 2000, with annual updating and enlargement.Third, the pharmacies payment system has moved from the traditionalset margin on the consumer price to a margin that varies according tothe consumer price of the product, the generic status of the product,and the volume of sales by pharmacies. And fourth, general agreementsbetween the government and the industry have been reached with costcontainment objectives. In the final section of this paper we presentan overall assessment of the impact of these pharmaceuticalreimbursement policies on the behaviour of the agents in thepharmaceutical market.

Portfolio choice beyond the traditional approach

This paper surveys asset allocation methods that extend the traditional approach. An important feature of the the traditional approach is that measures the risk and return tradeoff in terms of mean and variance of final wealth. However, there are also other important features that are not always made explicit in terms of investor s wealth, information, and horizon: The investor makes a single portfolio choice based only on the mean and variance of her final financial wealth and she knows the relevant parameters in that computation. First, the paper describes traditional portfolio choice based on four basic assumptions, while the rest of the sections extend those assumptions. Each section will describe the corresponding equilibrium implications in terms of portfolio advice and asset pricing.

Pension plan funding and stock market efficiency

The paper argues that the market signifficantly overvalues firms with severely underfunded pension plans. These companies earn lower stock returns than firms with healthier pension plans for at least five years after the first emergence of the underfunding. The low returns are not explained by risk, price momentum, earnings momentum, or accruals. Further, the evidence suggests that investors do not anticipate the impact of the pension liability on future earnings, and they are surprised when the negative implications of underfunding ultimately materialize. Finally, underfunded firms have poor operating performance, and they earn low returns, although they are value companies.

Duality in mean-variance frontiers with conditioning information

Portfolio and stochastic discount factor (SDF) frontiers are usually regarded as dual objects, and researchers sometimes use one to answer questions about the other. However, the introduction of conditioning information and active portfolio strategies alters this relationship. For instance, the unconditional portfolio frontier in Hansen and Richard (1987) is not dual to the unconditional SDF frontier in Gallant, Hansen and Tauchen (1990). We characterise the dual objects to those frontiers, and relate them to the frontiers generated with managed portfolios, which are commonly used in empirical work. We also study the implications of a safe asset and other special cases.

Portable alphas from pension mispricing

We introduce a new dynamic trading strategy based on the systematic misspricing of U.S. companies sponsoring Defined Benefit pension plans. This portfolio produces an average return of 1.51% monthly between 1989 and 2004, with a Sharpe Ratio of 0.26. The returns of the strategy are not explained by those of primary assets. These returns are not related to those of benchmarks in the alternative investments industry either. Hence, we are in the presence of a "pure alpha" strategy that can be ported into a large variety of portfolios to significantly enhance their performance.

Assessing High-Speed Internet Access in the State of Iowa: Sixth Assessment, January 2008

This Assessment gauges the availability of highspeed Internet access to both rural and non-rural Iowans. The Board continues to evaluate the progress in the deployment of high-speed Internet access through this Sixth Assessment, including information related to Internet speeds available to consumers and pricing of high-speed Internet services. Comparison of this Assessment with the earlier efforts is critical if a clear perspective on the developing availability of high-speed Internet access to all residents of the State of Iowa is desired.

Vertical Syndication-Proof Competitive Prices in Multilateral Markets

[eng] A multi-sided Böhm-Bawerk assignment game (Tejada, to appear) is a model for a multilateral market with a finite number of perfectly complementary indivisible commodities owned by different sellers, and inflexible demand and support functions. We show that for each such market game there is a unique vector of competitive prices for the commodities that is vertical syndication-proof, in the sense that, at those prices, syndication of sellers each owning a different commodity is neither beneficial nor detrimental for the buyers. Since, moreover, the benefits obtained by the agents at those prices correspond to the nucleolus of the market game, we provide a syndication-based foundation for the nucleolus as an appropriate solution concept for market games. For different solution concepts a syndicate can be disadvantageous and there is no escape to Aumman’s paradox (Aumann, 1973). We further show that vertical syndicationproofness and horizontal syndication-proofness – in which sellers of the same commodity collude – are incompatible requirements under some mild assumptions. Our results build on a self-interesting link between multi-sided Böhm-Bawerk assignment games and bankruptcy games (O’Neill, 1982). We identify a particular subset of Böhm-Bawerk assignment games and we show that it is isomorphic to the whole class of bankruptcy games. This isomorphism enables us to show the uniqueness of the vector of vertical syndication-proof prices for the whole class of Böhm-Bawerk assignment market using well-known results of bankruptcy problems.

The mean-variance model from the inverse of the variance-covariance matrix

En este artículo, a partir de la inversa de la matriz de varianzas y covarianzas se obtiene el modelo Esperanza-Varianza de Markowitz siguiendo un camino más corto y matemáticamente riguroso. También se obtiene la ecuación de equilibrio del CAPM de Sharpe.