Term Structure of Risk in Expected Returns

Author(s):  
Irina Zviadadze

Abstract This paper develops a methodology to test structural asset pricing models based on their implications for the multiperiod risk-return trade-off. A new measure, the term structure of risk, captures the sensitivities of multiperiod expected returns to structural shocks. The level and slope of the term structure of risk can indicate misspecification in equilibrium models. I evaluate the performance of asset pricing models with long-run risk, consumption disasters, and variance shocks. I find that only a model with multiple shocks in the variance of consumption growth is consistent with the propagation of and compensation for risk in the aggregate stock market.

Author(s):  
Mathias S Kruttli

Abstract This article analyzes whether consumption-based asset pricing models improve the excess returns forecasts of a hypothetical investor with access to these models from 1947 onwards. The investor imposes economic constraints derived from asset pricing models as model-based priors on predictive regression parameters through a Bayesian framework. Three models are considered: habit formation, long-run risk, and prospect theory. The model-based priors generally perform better than priors that shrink the parameter estimates to the historical average model and priors that impose a positive equity premium. This analysis helps to assess the value of consumption-based asset pricing models to investors.


2021 ◽  
Vol 2021 (015) ◽  
pp. 1-71
Author(s):  
Chris Anderson ◽  

I analyze the implications of allowing consumers to make mistakes on the risk-return relationships predicted by consumption-based asset pricing models. I allow for consumption mistakes using a model in which a portfolio manager selects investments on a consumer's behalf. The consumer has an arbitrary consumption policy that could reflect a wide range of mistakes. For power utility, expected returns do not generally depend on exposure to single-period consumption shocks, but robustly depend on exposure to both long-run consumption and expected return shocks. I empirically show that separately accounting for both types of shocks helps explain the equity premium and cross section of stock returns.


2014 ◽  
Vol 31 (6) ◽  
pp. 1310-1330 ◽  
Author(s):  
Timothy M. Christensen

Important features of certain economic models may be revealed by studying positive eigenfunctions of appropriately chosen linear operators. Examples include long-run risk–return relationships in dynamic asset pricing models and components of marginal utility in external habit formation models. This paper provides identification conditions for positive eigenfunctions in nonparametric models. Identification is achieved if the operator satisfies two mild positivity conditions and a power compactness condition. Both existence and identification are achieved under a further nondegeneracy condition. The general results are applied to obtain new identification conditions for external habit formation models and for positive eigenfunctions of pricing operators in dynamic asset pricing models.


2013 ◽  
Vol 03 (01) ◽  
pp. 1350004 ◽  
Author(s):  
George Diacogiannis ◽  
David Feldman

Current asset pricing models require mean-variance efficient benchmarks, which are generally unavailable because of partial securitization and free float restrictions. We provide a pricing model that uses inefficient benchmarks, a two-beta model, one induced by the benchmark and one adjusting for its inefficiency. While efficient benchmarks induce zero-beta portfolios of the same expected return, any inefficient benchmark induces infinitely many zero-beta portfolios at all expected returns. These make market risk premiums empirically unidentifiable and explain empirically found dead betas and negative market risk premiums. We characterize other misspecifications that arise when using inefficient benchmarks with models that require efficient ones. We provide a space geometry description and analysis of the specifications and misspecifications. We enhance Roll (1980), Roll and Ross's (1994), and Kandel and Stambaugh's (1995) results by offering a "Two Fund Theorem," and by showing the existence of strict theoretical "zero relations" everywhere inside the portfolio frontier.


2018 ◽  
Vol 73 (3) ◽  
pp. 1061-1111 ◽  
Author(s):  
WALTER POHL ◽  
KARL SCHMEDDERS ◽  
OLE WILMS

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