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Discussion Paper
Alternative measures of the Federal Reserve banks' cost of equity capital
The Monetary Control Act of 1980 requires the Federal Reserve System to provide payment services to depository institutions through the twelve Federal Reserve Banks at prices that fully reflect the costs a private-sector provider would incur, including a cost of equity capital (COE). Although Fama and French (1997) conclude that COE estimates are ?woefully? and ?unavoidably? imprecise, the Reserve Banks require such an estimate every year. We examine several COE estimates based on the Capital Asset Pricing Model (CAPM) and compare them using econometric and materiality criteria. Our results ...
Journal Article
Portfolio advice of a multifactor world
How does traditional portfolio theory adapt to the new facts? The old "two-fund" theorem becomes a "many-fund" theorem; some investors can improve returns by investing in portfolio strategies that let them take on nonmarket sources of risk; and other investors can shed nonmarket risks in the same way. Investors can, if willing to take on risks, improve returns by some modest market timing. However, the average investor must always hold the market, so only investors who are different from average can benefit from holding new and unusual portfolios
Working Paper
Solving stochastic money-in-the-utility-function models
This paper analyzes the necessary and sufficient conditions for solving money-in-the-utility-function models when contemporaneous asset returns are uncertain. A unique solution to such models is shown to exist under certain measurability conditions. Stochastic Euler equations, whose existence is normally assumed in these models, are then formally derived. The regularity conditions are weak, and economically innocuous. The results apply to the broad range of discrete-time monetary and financial models that are special cases of the model used in this paper. The method is also applicable to ...
Working Paper
Breathing room for beta
This paper argues that a test of beta insignificance, commonly used in empirical studies of the CAPM, predisposes studies toward rejecting the CAPM. Under the null hypothesis of these tests, the CAPM is false. Consequently, insufficient evidence to reject the null is taken as sufficient evidence to reject the CAPM. Simulations suggest that this framework typically leads to false rejection rates of more than 1/2. An alternative test, with a null hypothesis consistent with the CAPM, is proposed. Based on statistics from published studies, the proposed test does not reject the CAPM.
Report
Option-implied probability distributions and currency excess returns
This paper describes a method of extracting the risk-neutral probability distribution of future exchange rates from option prices. In foreign exchange markets interbank option pricing conventions make possible reliable inferences about risk-neutral probability distributions with relatively little data. Moments drawn from risk-neutral exchange rate distribution are used to explore several issues related to the puzzle of excess returns in currency markets. Tests of the international capital asset pricing model using risk-neutral moments as explanatory variables indicate that option-based ...
Working Paper
Multivariate contemporaneous threshold autoregressive models
In this paper we propose a contemporaneous threshold multivariate smooth transition autoregressive (C-MSTAR) model in which the regime weights depend on the ex ante probabilities that latent regime-specific variables exceed certain threshold values. The model is a multivariate generalization of the contemporaneous threshold autoregressive model introduced by Dueker et al. (2007). A key feature of the model is that the transition function depends on all the parameters of the model as well as on the data. The stability and distributional properties of the proposed model are investigated. The ...