Mean-variance portfolio selection of cointegrated assets

This paper considers the continuous-time mean-variance portfolio selection problem in a financial market in which asset prices are cointegrated. The asset price dynamics are then postulated as the diffusion limit of the corresponding discrete-time error-correction model of cointegrated time series. The problem is completely solved in the sense that solutions of the continuous-time portfolio policy and the efficient frontier are obtained as explicit and closed-form formulas. The analytical results are applied to pairs trading using cointegration techniques. Numerical examples show that identifying a cointegrated pair with a high mean-reversion rate can generate significant statistical arbitrage profits once the current state of the economy sufficiently departs from the long-term equilibrium. We propose an index to simultaneously measure the departure level of a cointegrated pair from equilibrium and the mean-reversion speed based on the mean-variance paradigm. An empirical example is given to illustrate the use of the theory in practice.     

Monetary policy,asset prices and consumption in China

This paper studies the wealth channel in China. Although the wealth channel has been found to be functioning in many advanced countries, its existence is yet to be explored in most emerging economies, also in China. In order to illuminate dynamics between monetary policy, asset prices and consumption, we use the structural vector autoregression method. The findings support the view that a loosening of China's monetary policy does indeed lead to higher asset prices. Furthermore, a positive shock to residential prices increases household consumption, while the role of stock prices seems to be small from the households’ point of view. Finally, we test the existence of the wealth channel more formally to find out whether those changes in asset prices that are caused by monetary policy are significant enough to increase consumption. In summary, the wealth channel remains weak but there are some signs of it via residential prices. The results are not that different from those attained for the advanced economies, where the size of the wealth channel has been found to be limited.     

Evolution and market behavior with endogenous investment rules

In a repeated market for short-lived assets, we investigate wealth-driven selection among investment rules that depend on endogenous market variables, such as current and past prices. We study the random dynamical system describing prices and wealth dynamics and characterize local stability of the long-run equilibria in which one or a group of traders dominate. Multiplicity of stable and unstable equilibria, leading to path dependency and persistent heterogeneity, turns out to be a common phenomenon generated by two different mechanisms. Firstly, conditioning investment decisions on endogenous market variables implies that the relative performance of investment rules, in terms of average growth rates, may be different for different prevailing prices, so that the market may fail to select a global winner. Secondly, the feedback existing between past asset prices and current investment decisions can lead to a form of deterministic overshooting.     

Asset price and wealth dynamics in a financial market with heterogeneous agents

This paper considers a discrete-time model of a financial market with one risky asset and one risk-free asset, where the asset price and wealth dynamics are determined by the interaction of two groups of agents, fundamentalists and chartists. In each period each group allocates its wealth between the risky asset and the safe asset according to myopic expected utility maximization, but the two groups have heterogeneous beliefs about the price change over the next period: the chartists are trend extrapolators, while the fundamentalists expect that the price will return to the fundamental. We assume that investors’ optimal demand for the risky asset depends on wealth, as a result of CRRA utility. A market maker is assumed to adjust the market price at the end of each trading period, based on excess demand and on changes of the underlying reference price. The model results in a nonlinear discrete-time dynamical system, with growing price and wealth processes, but it is reduced to a stationary system in terms of asset returns and wealth shares of the two groups. It is shown that the long-run market dynamics are highly dependent on the parameters which characterize agents’ behaviour as well as on the initial condition. Moreover, for wide ranges of the parameters a (locally) stable fundamental steady state coexists with a stable ‘non-fundamental’ steady state, or with a stable closed orbit, where only chartists survive in the long run: such cases require the numerical and graphical investigation of the basins of attraction. Other dynamic scenarios include periodic orbits and more complex attractors, where in general both types of agents survive in the long run, with time-varying wealth fractions.     

Rational expectations equilibrium and the strategic choice of costly information

This paper studies costly information acquisition in one-good production economies when agents acquire private information and prices transmit information. Before asset markets open, agents choose the quality of their private information. After this information stage, agents trade assets in sequentially complete markets taking into account their private information and the information revealed by equilibrium prices (rational expectations equilibrium, (Radner, R., 1979. Rational expectations equilibrium: generic existence and the information revealed by prices, Econometrica 47, 655–678.)). An overall equilibrium in asset and information market is defined as a Nash equilibrium of the information game in which agents’ actions are information choices and their utility payoffs are the ex-ante expected utilities of the corresponding rationale expectations equilibrium. This paper shows that for a generic set of economies parameterized by endowments and productivity shocks, an overall equilibrium in information and asset market (a Nash equilibrium of the induced information game) with costly information acquisition and fully-revealing prices exists. In other words, informational efficiency is in general consistent with costly information acquisition.     

Intertemporal coordination in two-period markets

This paper studies the stability of the intertemporal coordination dynamics when the common knowledge of individual expectations of future prices is perturbed in a neighborhood of a perfect foresight equilibrium. The main forces that affect stability are: (i) the effect of a change in asset demand on second period spot market prices, and (ii) the effect on asset demand of a small change in second period prices. In an intertemporal market game whose interior Markov perfect equilibria correspond to perfect foresight equilibria, it is shown that though M-rationalizability implies the stability of the intertemporal dynamics, the converse is not always true.     

Intertemporal coordination in two-period markets

This paper studies the stability of the intertemporal coordination dynamics when the common knowledge of individual expectations of future prices is perturbed in a neighborhood of a perfect foresight equilibrium. The main forces that affect stability are: (i) the effect of a change in asset demand on second period spot market prices, and (ii) the effect on asset demand of a small change in second period prices. In an intertemporal market game whose interior Markov perfect equilibria correspond to perfect foresight equilibria, it is shown that though M-rationalizability implies the stability of the intertemporal dynamics, the converse is not always true.     

The saving,human wealth and asset pricing nexus: Evidence from around the world

The present study examines the dynamics of the saving, human wealth and asset pricing nexus across developed and emerging economies. We introduce two equilibrium asset pricing models in an intertemporal capital asset pricing framework, including the priced factors human wealth and market portfolio in the first framework and the saving and market portfolio in the second framework. Both asset pricing frameworks consist of two-factor, four-factor and five-factor asset pricing models. We control for size and value factors in the four-factor model and size, value and momentum factors in the five-factor model. The IV-GMM estimation and GRS test results indicate that human wealth and market portfolio for the first framework and saving and market portfolio in the second framework are primary priced factors in explaining the average returns for developed economies and the aggregate level. On the contrary, both frameworks fail to yield significant results explaining the average returns for emerging economies.     

Determining hedges and safe havens for stocks using interval analysis

We examine whether hedging and safe haven assets exist against stocks when market high and low prices evaluate asset prices. Using interval-based estimations, this paper finds that 10-year government bonds, the U.S. dollar, and gold served as weak hedging and/or safe haven assets for the stock market losses over the 2002–2019 period. We also provide evidence of the USD’s and gold’s hedging ability against the stock market volatility and of volatility transmission between assets, and highlight the importance of considering volatility.     

The Risk Structure of Land Markets

Real property as an asset class represents over half of the wealth in the United States. Nevertheless, the structure of risk in real property markets is poorly understood. This paper develops a model of urban and agricultural land prices that integrates spatial and asset pricing theories and characterizes the spatial and temporal risk structure of the land market. Urban land is priced by a CAPM and agricultural land is priced by a real option to convert into urban land. We show that the price of land awaiting conversion increases with the growth rate of urban rents and unsystematic risk but decreases with risk aversion. However, it may be increasing or decreasing in systematic risk. The free boundary for exercise determines city size, which increases with the growth rate of urban rents but decreases with systematic and unsystematic risk.     

Jumps in equilibrium prices and market microstructure noise

Asset prices observed in financial markets combine equilibrium prices and market microstructure noise. In this paper, we study how to tell apart large shifts in equilibrium prices from noise using high frequency data. We propose a new nonparametric test which allows us to asymptotically remove the noise from observable price data and to discover jumps in fundamental asset values. We provide its asymptotic distribution to decide when such jumps occur. In finite samples, our test offers reasonable power for distinguishing between noise and jumps. Empirical evidence indicates that it is necessary to incorporate the presence of jumps in equilibrium prices.     

The nonlinear price dynamics of U.S. equity ETFs

We investigate the price dynamics of large market-capitalization U.S. equity exchange-traded funds (ETFs) in order to uncover trader motivations and strategy. We show that prices of highly liquid ETFs can deviate significantly from their daily net asset values. By adjusting for changes in valuations, we report the impact of non-classical variables including price trend and volatility using data from 2008 to 2011. We find a cubic nonlinearity in the trend suggesting that traders are not only aware of the underreaction of others, but also self-optimize by anticipating others’ reactions, and sell when the uptrend is stronger than usual.     

Multifrequency jump-diffusions: An equilibrium approach

This paper proposes that equilibrium valuation is a powerful method to generate endogenous jumps in asset prices. We specify an economy with continuous consumption and dividend paths, in which endogenous price jumps originate from the market impact of regime-switches in the drifts and volatilities of fundamentals. We parsimoniously incorporate regimes of heterogeneous durations and verify that the persistence of a shock endogenously increases the magnitude of the induced price jump. As the number of frequencies driving fundamentals goes to infinity, the price process converges to a novel stochastic process, which we call a multifractal jump-diffusion.     

House prices, wealth effects, and the Singapore macroeconomy

This paper examines the effect housing wealth has upon aggregate consumption in Singapore. While past research has focused only on changes in private housing wealth, the residential market in Singapore is dominated by the public housing sector. The massive public housing segment can generate potentially different wealth effects from standard private housing markets given the former’s unique institutional features. In particular, public housing owners who sell their units at market rates can repurchase a public flat at subsidized prices whereas private homeowners typically cannot. We estimate the link between consumption expenditure and both private and public housing wealth using a VARX approach for the Q1:1990–Q4:2002 period. We find that changes in private house prices have no significant effect on aggregate consumption. In contrast, public housing wealth effects are larger and more persistent.     

Jump tails,extreme dependencies,and the distribution of stock returns

We provide a new framework for estimating the systematic and idiosyncratic jump tail risks in financial asset prices. Our estimates are based on in-fill asymptotics for directly identifying the jumps, together with Extreme Value Theory (EVT) approximations and methods-of-moments for assessing the tail decay parameters and tail dependencies. On implementing the procedures with a panel of intraday prices for a large cross-section of individual stocks and the S&P 500 market portfolio, we find that the distributions of the systematic and idiosyncratic jumps are both generally heavy-tailed and close to symmetric, and show how the jump tail dependencies deduced from the high-frequency data together with the day-to-day variation in the diffusive volatility account for the “extreme” joint dependencies observed at the daily level.     

Semi-parametric estimation of American option prices

We introduce a novel semi-parametric estimator of American option prices in discrete time. The specification is based on a parameterized stochastic discount factor and is nonparametric w.r.t. the historical dynamics of the Markovian state variables. The historical transition density estimator minimizes a distance built on the Kullback–Leibler divergence from a kernel transition density, subject to the no-arbitrage restrictions for a non-defaultable bond, the underlying asset and some American option prices. We use dynamic programming to make explicit the nonlinear restrictions on the Euclidean and functional parameters coming from option data. We study asymptotic and finite sample properties of the estimators.     

THE STOCK MARKET, HOUSING AND CONSUMER SPENDING: A SURVEY OF THE EVIDENCE ON WEALTH EFFECTS

Abstract.  This paper examines the time-series and micro-econometric evidence on the relationship between stock and house prices and consumer spending. The time-series studies distinguish between short-run and long-run links between consumption, income and wealth. They allow us to identify which variables adjust to restore the long-run equilibrium in the case of a shock, and to determine the time taken by the adjustment process. The micro-econometric literature improves our understanding of the link between wealth and expenditure and distinguishes among the alternative hypotheses – of direct wealth effect, common causality and collateral channel – that have been proposed to explain this relationship. The relationship between wealth and consumer spending appears to be strong, but there is some disagreement as to its size and nature. Furthermore, there appear to be some important differences across countries, which should be allowed for by policy makers when appraising the policy implications of a change in asset prices.     

Macroeconomic news and market reaction: Surprise indexes meet nowcasting

Market operators monitor a massive flow of macroeconomic news every day and react to the unexpected component of each release. Can we replicate the market’s pricing of macroeconomic news automatically? This paper shows that a “Nowcasting Surprise Index”, constructed by aggregating forecast errors from a nowcasting model using model-based weights, resembles the surprise indexes proposed in the recent literature or constructed by practitioners, which cumulate survey-based forecast errors weighted by using the average effect of news on asset prices. This suggests that market operators and a nowcasting model filter the macroeconomic data flow similarly and confirms the link between news about macroeconomic indicators and asset prices. Moreover, the paper shows that recent cumulated news in macroeconomic data, which carry information about the underlying state of the economy, accounts for a non-negligible part of asset price behaviour.     

Convex incentives in financial markets: an agent-based analysis

We investigate whether convex incentive contracts are a source of instability of financial markets as indicated by the results of a continuous double-auction asset market experiment performed by Holmen et al. (J Econ Dyn Control 40:179–194, 2014). We develop a model to replicate the setting of the experiment and perform an agent-based simulation where agents have linear or convex incentives. Extending the simulation by varying features of actual asset markets that were not studied in the experiment, our main results show that increasing the number of convex incentive contracts increases prices and volatility and decreases market liquidity, measured both as bid–ask spreads and volumes. We also observe that the influence of risk aversion on traders’ decisions decreases when there are convex contracts and that increasing the differences in initial wealth among the traders has similar effects as increasing number of convex incentive contracts.     

The stability of money demand in China: Evidence from the ARDL model

This study examines the demand for broad money (M2) in China using the autoregressive distributed lag (ARDL) cointegration framework. The results based on the bounds testing procedure confirm that a stable, long-run relationship exists between M2 and its determinants: real income, inflation, foreign interest rates and stock prices. Importantly, our results reveal that stock prices have a significant wealth effect on long- and short-run broad money demand; its omission can lead to serious misspecifications in the money demand function (MDF). This finding is consistent with the notion that asset inflation (deflation) has systematic influence on the pattern of monetary aggregates.