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Filtering Methods for the Estimation of the Long-Run Risk Asset Pricing Model

Filtering Methods for the Estimation of the Long-Run Risk Asset Pricing Model
Author: Eva-Maria Küchlin
Publisher:
Total Pages: 49
Release: 2016
Genre:
ISBN:

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Previous attempts to estimate the long-run risk (LRR) model revealed serious methodological issues and low estimation precision of the existing econometric approaches. However, this study shows that despite the presence of latent variables asymptotically efficient maximum likelihood (ML) estimation is possible through application of filtering methods. A three-step estimation strategy is suggested that involves ML estimation relying on the Kalman filter and a particle filter, which allows to identify all LRR model parameters. A Monte Carlo study assesses the estimation precision for different sample sizes, an empirical application presents estimation results obtained from U.S. data.


Empirical Asset Pricing

Empirical Asset Pricing
Author: Wayne Ferson
Publisher: MIT Press
Total Pages: 497
Release: 2019-03-12
Genre: Business & Economics
ISBN: 0262039370

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An introduction to the theory and methods of empirical asset pricing, integrating classical foundations with recent developments. This book offers a comprehensive advanced introduction to asset pricing, the study of models for the prices and returns of various securities. The focus is empirical, emphasizing how the models relate to the data. The book offers a uniquely integrated treatment, combining classical foundations with more recent developments in the literature and relating some of the material to applications in investment management. It covers the theory of empirical asset pricing, the main empirical methods, and a range of applied topics. The book introduces the theory of empirical asset pricing through three main paradigms: mean variance analysis, stochastic discount factors, and beta pricing models. It describes empirical methods, beginning with the generalized method of moments (GMM) and viewing other methods as special cases of GMM; offers a comprehensive review of fund performance evaluation; and presents selected applied topics, including a substantial chapter on predictability in asset markets that covers predicting the level of returns, volatility and higher moments, and predicting cross-sectional differences in returns. Other chapters cover production-based asset pricing, long-run risk models, the Campbell-Shiller approximation, the debate on covariance versus characteristics, and the relation of volatility to the cross-section of stock returns. An extensive reference section captures the current state of the field. The book is intended for use by graduate students in finance and economics; it can also serve as a reference for professionals.


A Two-step Indirect Inference Approach to Estimate the Long-run Risk Asset Pricing Model

A Two-step Indirect Inference Approach to Estimate the Long-run Risk Asset Pricing Model
Author: Joachim Grammig
Publisher:
Total Pages:
Release: 2017
Genre:
ISBN:

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The long-run consumption risk model provides a theoretically appealing explanation for prominent asset pricing puzzles, but its intricate structure presents a challenge for econometric analysis. This paper proposes a two-step indirect inference approach that disentangles the estimation of the model's macroeconomic dynamics and the investor's preference parameters. A Monte Carlo study explores the feasibility and efficiency of the estimation strategy. We apply the method to recent U.S. data and provide a critical re-assessment of the long-run risk model's ability to reconcile the real economy and financial markets. This two-step indirect inference approach is potentially useful for the econometric analysis of other prominent consumption-based asset pricing models that are equally difficult to estimate.


Financial Pricing Models in Continuous Time and Kalman Filtering

Financial Pricing Models in Continuous Time and Kalman Filtering
Author: B.Philipp Kellerhals
Publisher: Springer Science & Business Media
Total Pages: 243
Release: 2013-11-11
Genre: Business & Economics
ISBN: 3662219018

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Straight after its invention in the early sixties, the Kalman filter approach became part of the astronautical guidance system of the Apollo project and therefore received immediate acceptance in the field of electrical engineer ing. This sounds similar to the well known success story of the Black-Scholes model in finance, which has been implemented by the Chicago Board of Op tions Exchange (CBOE) within a few month after its publication in 1973. Recently, the Kalman filter approach has been discovered as a comfortable estimation tool in continuous time finance, bringing together seemingly un related methods from different fields. Dr. B. Philipp Kellerhals contributes to this topic in several respects. Specialized versions of the Kalman filter are developed and implemented for three different continuous time pricing models: A pricing model for closed-end funds, taking advantage from the fact, that the net asset value is observable, a term structure model, where the market price of risk itself is a stochastic variable, and a model for electricity forwards, where the volatility of the price process is stochastic. Beside the fact that these three models can be treated independently, the book as a whole gives the interested reader a comprehensive account of the requirements and capabilities of the Kalman filter applied to finance models. While the first model uses a linear version of the filter, the second model using LIBOR and swap market data requires an extended Kalman filter. Finally, the third model leads to a non-linear transition equation of the filter algorithm.


Risks For the Long Run

Risks For the Long Run
Author: Ravi Bansal
Publisher:
Total Pages:
Release: 2012
Genre: Assets (Accounting)
ISBN:

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The long-run risks (LRR) asset pricing model emphasizes the role of low-frequency movements in expected growth and economic uncertainty, along with investor preferences for early resolution of uncertainty, as an important economic-channel that determines asset prices. In this paper, we estimate the LRR model. To accomplish this we develop a method that allows us to estimate models with recursive preferences, latent state variables, and time-aggregated data. Time-aggregation makes the decision interval of the agent an important parameter to estimate. We find that time-aggregation can significantly affect parameter estimates and statistical inference. Imposing the pricing restrictions and explicitly accounting for time-aggregation, we show that the estimated LRR model can account for the joint dynamics of aggregate consumption, asset cash flows and prices, including the equity premia, risk-free rate and volatility puzzles.


Give Me Strong Moments and Time

Give Me Strong Moments and Time
Author: Joachim Grammig
Publisher:
Total Pages: 56
Release: 2014
Genre:
ISBN:

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The long-run consumption risk (LRR) model is a promising approach to resolve prominent asset pricing puzzles. The simulated method of moments (SMM) provides a natural framework to estimate its deep parameters, but caveats concern model solubility and weak identification. We propose a twostep estimation strategy that combines GMM and SMM, and for which we elicit informative macroeconomic and financial moment matches from the LRR model structure. In particular, we exploit the persistent serial correlation of consumption and dividend growth and the equilibrium conditions for market return and risk-free rate, as well as the model-implied predictability of the risk-free rate. We match analytical moments when possible and simulated moments when necessary and determine the crucial factors required for both identification and reasonable estimation precision. A simulation study|the first in the context of long-run risk modeling|delineates the pitfalls associated with SMM estimation of a non-linear dynamic asset pricing model. Our study provides a blueprint for successful estimation of the LRR model.


Give Me Strong Moments and Time: Combining GMM and SMM to Estimate Long-run Risk Asset Pricing Models

Give Me Strong Moments and Time: Combining GMM and SMM to Estimate Long-run Risk Asset Pricing Models
Author: Joachim Grammig
Publisher:
Total Pages:
Release: 2014
Genre:
ISBN:

Download Give Me Strong Moments and Time: Combining GMM and SMM to Estimate Long-run Risk Asset Pricing Models Book in PDF, ePub and Kindle

The long-run consumption risk (LRR) model is a promising approach to resolve prominent asset pricing puzzles. The simulated method of moments (SMM) provides a natural framework to estimate its deep parameters, but caveats concern model solubility and weak identification. We propose a two-step estimation strategy that combines GMM and SMM, and for which we elicit informative macroeconomic and financial moment matches from the LRR model structure. In particular, we exploit the persistent serial correlation of consumption and dividend growth and the equilibrium conditions for market return and risk-free rate, as well as the model-implied predictability of the risk-free rate. We match analytical moments when possible and simulated moments when necessary and determine the crucial factors required for both identification and reasonable estimation precision. A simulation study - the first in the context of long-run risk modeling - delineates the pitfalls associated with SMM estimation of a non-linear dynamic asset pricing model. Our study provides a blueprint for successful estimation of the LRR model.


Financial Markets and the Real Economy

Financial Markets and the Real Economy
Author: John H. Cochrane
Publisher: Now Publishers Inc
Total Pages: 117
Release: 2005
Genre: Business & Economics
ISBN: 1933019158

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Financial Markets and the Real Economy reviews the current academic literature on the macroeconomics of finance.


Asset Pricing Tests with Long Run Risks in Consumption Growth

Asset Pricing Tests with Long Run Risks in Consumption Growth
Author: George M. Constantinides
Publisher:
Total Pages: 76
Release: 2011
Genre:
ISBN:

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A novel methodology in testing the long-run risks model of Bansal and Yaron (2004) is presented based on the observation that, under the null, the potentially latent state variables, long-run risk and the conditional variance of its innovation, are known affine functions of the observable market-wide price-dividend ratio and risk free rate. In linear forecasting regressions of consumption growth and returns by the price-dividend ratio and risk free rate, the model implies much higher forecastability than what is observed in the data over 1931-2009. The co-integrated variant of the model by Bansal, Gallant, and Tauchen (2007), also implies much higher forecastability of returns than what is observed in the data. Finally, we reject the models' implications in jointly pricing the cross-section of returns and fitting the unconditional time series moments of consumption and dividend growth. The results suggest that either some important state variable is missing or that the models should be generalized in a way that the lagged price-dividend ratio and risk free enter the regressions in a non-linear fashion.