Working Papers

Momentum and Long-Run Risks (Job Market Paper)

I model the cross section of equity securities inside a long-run risks economy of Bansal and Yaron (2004). Consistent with the implications of the model, I show a new empirical stylized fact: momentum portfolios have time-varying long-run consumption betas and time-varying expected returns. The time variation is driven by interactions between security-level expected returns, long-run risk factor realizations during the formation period and the momentum selection mechanism. Adjusting portfolio realized returns for model-implied time-varying expected returns eliminates the majority of momentum profits. Simulations of a firm-level model produce a substantial momentum effect while simultaneously generating a large equity premium and matching other relevant moments of the data such as transitions of securities across momentum portfolios.

Estimation of Consumption Asset Pricing Models with External Habit: A Small Sample Study of the Efficient Method of Moments (Second Year Paper)

I estimate the Campbell and Cochrane (1999) external habit model using the efficient method of moments (EMM) in a Monte Carlo environment. A solution of the model is required to carry out the EMM procedure; a version of the parameterized expectations algorithm (PEA) of Den Hann and Marcet (1990) is used, and its properties in solving the external habit model are examined in detail. I find that the EMM procedure generally performs well (except when using a VAR as an auxiliary model), and produces close to unbiased coefficients. However, long simulated samples need to be used in solving the structural model inside the EMM procedure.

Research in Progress

Long-Run Consumption Risk in International Equity Markets (with Amir Yaron)

We study various possible measures of long-run risks for the local investors in foreign countries. These measures can be based on purely local notions of consumption, a global aggregate or a combination such that local growth processes are co-integrated with global consumption. We then show that the value premium, while found internationally, is not perfectly correlated across countries. To the extent that long-run risk exposures explain the value premium, its cross-country correlations are driven by correlations of the long-run risk state variables. We empirically investigate this possibility.

In related work, I perform an “out of sample” study of the cross-sectional long run risks model in Zurek (2007) using financial market and aggregate economic data for the eight Pacific-Basin countries (Hong Kong, Indonesia, Japan, Korea, Malaysia, Singapore, Taiwan and Thailand). As in Zurek (2007), I argue that momentum portfolios have time-varying exposures to aggregate consumption risk. One implication of such time variation is that momentum strategies should only be profitable following formation periods when aggregate consumption growth prospects are positive. It has been documented that developing economies experience smaller average momentum profits than in the U.S. One of the goals of the study is to determine whether this reduction in magnitude of profits relative to the U.S. arises as a result of losses following periods of negative aggregate growth prospects using various measures of the long-run risk component.

Estimation of Long-Run Risk Models by Filtering

Long-run risk models have recently become increasingly popular in consumption-based asset pricing. However, since the model’s debut in Bansal and Yaron (2004) and until recently, relatively little attention has been devoted to the model’s estimation. I explore maximum likelihood estimation of the model augmented with a square root process for the stochastic volatility component by decomposing the likelihood function using a Monte Carlo particle filter as described by Fernandez-Villaverde and Rubio-Ramirez (2006). I focus on differences in inference between simulated method of moments and full information maximum likelihood estimates of the model.