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Report
Arbitrage pricing theory
Focusing on capital asset returns governed by a factor structure, the Arbitrage Pricing Theory (APT) is a one-period model, in which preclusion of arbitrage over static portfolios of these assets leads to a linear relation between the expected return and its covariance with the factors. The APT, however, does not preclude arbitrage over dynamic portfolios. Consequently, applying the model to evaluate managed portfolios is contradictory to the no-arbitrage spirit of the model. An empirical test of the APT entails a procedure to identify features of the underlying factor structure rather than ...
Report
Empirical evaluation of asset pricing models: arbitrage and pricing errors over contingent claims
In a 1997 paper, Hansen and Jagannathan develop two pricing error measures for asset pricing models. The first measure is the maximum pricing error on given test assets, and the second measure is the maximum pricing error over all possible contingent claims. We develop a simulation-based Bayesian inference of the pricing error measures. Although linear time-varying and multifactor models are widely reported to have small pricing errors on standard test assets, we demonstrate that these models can have large pricing errors over contingent claims because their stochastic discount factors are ...
Journal Article
Formulating the imputed cost of equity capital for priced services at Federal Reserve banks
This paper was presented at the conference "Economic Statistics: New Needs for the Twenty-First Century," cosponsored by the Federal Reserve Bank of New York, the Conference on Research in Income and Wealth, and the National Association for Business Economics, July 11, 2002. According to the 1980 Monetary Control Act, the Federal Reserve Banks must establish fees for their priced services to recover all operating costs as well as the imputed costs of capital and taxes that would be incurred by a profit-making firm. Since 2002, the Federal Reserve has made fundamental changes to the ...
Discussion Paper
Did the Fed’s Term Auction Facility Work?
The Federal Reserve introduced the Term Auction Facility (TAF) in December 2007 to provide term loans to banks during the recent financial crisis. In this post, we report on the effectiveness of the TAF during the early stages of the crisis. We find that the TAF was associated with a decrease in the “liquidity premium,” one component of a bank’s borrowing cost. In other words, the TAF worked as intended.
Working Paper
The Federal Reserve banks' imputed cost of equity capital
According to the Monetary Control Act of 1980, the Federal Reserve Banks must establish fees for their priced services to recover all operating costs as well as imputed costs of capital and taxes that would be incurred by a profit-making firm. The calculations required to establish these imputed costs are referred to collectively as the Private Sector Adjustment Factor (PSAF). In this paper, we propose a new approach for calculating the cost of equity capital used in the PSAF. The proposed approach is based on a simple average of three methods as applied to a peer group of bank holding ...
Report
Design of contingent capital with a stock price trigger for mandatory conversion
Contingent capital (CC), a regulatory debt that must convert into common equity when a bank?s equity value falls below a specified threshold (a trigger), does not in general lead to a unique equilibrium in the prices of the bank?s equity and CC. Multiplicity or absence of equilibrium arises because economic agents are not allowed to choose a conversion policy in their best interests. The lack of unique equilibrium introduces the potential for price manipulation, market uncertainty, inefficient capital allocation, and unreliability of conversion. Because CC may not convert to equity in a ...
Report
Performance maximization of actively managed funds
Ratios that indicate the statistical significance of a fund's alpha typically appraise its performance. A growing literature suggests that even in the absence of any ability to predict returns, holding options positions on the benchmark assets or trading frequently can significantly enhance performance ratios. This paper derives the performance-maximizing strategy--a variant of buy-write--and the least upper bound on such performance enhancement, thereby showing that if common equity indexes are used as benchmarks, the potential performance enhancement from trading frequently is usually ...
Report
The conditional CAPM and the cross-section of expected returns
Most empirical studies of the static CAPM assume that betas remain constant over time and that the return on the value-weighted portfolio of all stocks is a proxy for the return on aggregate wealth. The general consensus is that the static CAPM is unable to explain satisfactorily the cross-section of average returns on stocks. We assume that the CAPM holds in a conditional sense, i.e., betas and the market risk premium vary over time. We include the return on human capital when measuring the return on aggregate wealth. Our specification performs well in explaining the cross-section of average ...
Report
Valuing the Treasury's Capital Assistance Program
The Capital Assistance Program (CAP) was created by the U.S. government in February 2009 to provide backup capital to large financial institutions unable to raise sufficient capital from private investors. Under the terms of the CAP, a participating bank receives contingent capital by issuing preferred shares to the Treasury combined with embedded options for both parties: the bank gets the option to redeem the shares or convert them to common equity, with conversion mandatory after seven years; the Treasury earns dividends on the preferred shares and gets warrants on the bank's common ...