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Accounting for Forward Rates in Markets for Foreign Currency.

Journal of Finance 1993 48(5), 1887-1908
Forward and spot exchange rates between major currencies imply large standard deviations of both predictable returns from currency speculation and of the equilibrium price measure (the intertemporal marginal rate of substitution). Representative agent theory with time-additive preferences cannot account for either of these properties. The authors show that the theory does considerably better along these dimensions when the representative agent's preferences exhibit habit persistence but that the theory fails to reproduce some of the other properties of the data–in particular, the strong autocorrelation of forward premiums.

Sources of Entropy in Representative Agent Models

Journal of Finance 2014 69(1), 51-99 open access
ABSTRACT We propose two data‐based performance measures for asset pricing models and apply them to models with recursive utility and habits. Excess returns on risky securities are reflected in the pricing kernel's dispersion and riskless bond yields are reflected in its dynamics. We measure dispersion with entropy and dynamics with horizon dependence, the difference between entropy over several periods and one. We compare their magnitudes to estimates derived from asset returns. This exercise reveals tension between a model's ability to generate one‐period entropy, which should be large, and horizon dependence, which should be small.

Affine Term Structure Models and the Forward Premium Anomaly

Journal of Finance 2001 56(1), 279-304 open access
ABSTRACT One of the most puzzling features of currency prices is the forward premium anomaly : the tendency for high interest rate currencies to appreciate. We characterize the anomaly in the context of affine models of the term structure of interest rates. In affine models, the anomaly requires either that state variables have asymmetric effects on state prices in different currencies or that nominal interest rates take on negative values with positive probability. We find the quantitative properties of either alternative to have important shortcomings.

Accounting for Forward Rates in Markets for Foreign Currency

Journal of Finance 1993 48(5), 1887
Forward and spot exchange rates between major currencies imply large standard deviations of both predictable returns from currency speculation and of the equilibrium price measure (the intertemporal marginal rate of substitution). Representative agent theory with time-additive preferences cannot account for either of these properties. We show that the theory does considerably better along these dimensions when the representative agent's preferences exhibit habit persistence, but that the theory fails to reproduce some of the other properties of the data—in particular, the strong autocorrelation of forward premiums.

Accounting for Forward Rates in Markets for Foreign Currency

Journal of Finance 1993 48(5), 1887-1908 open access
ABSTRACT Forward and spot exchange rates between major currencies imply large standard deviations of both predictable returns from currency speculation and of the equilibrium price measure (the intertemporal marginal rate of substitution). Representative agent theory with time‐additive preferences cannot account for either of these properties. We show that the theory does considerably better along these dimensions when the representative agent's preferences exhibit habit persistence, but that the theory fails to reproduce some of the other properties of the data—in particular, the strong autocorrelation of forward premiums.

Disasters Implied by Equity Index Options

Journal of Finance 2011 66(6), 1969-2012 open access
ABSTRACT We use equity index options to quantify the distribution of consumption growth disasters. The challenge lies in connecting the risk‐neutral distribution of equity returns implied by options to the true distribution of consumption growth. First, we compare pricing kernels constructed from macro‐finance and option‐pricing models. Second, we compare option prices derived from a macro‐finance model to those we observe. Third, we compare the distribution of consumption growth derived from option prices using a macro‐finance model to estimates based on macroeconomic data. All three perspectives suggest that options imply smaller probabilities of extreme outcomes than have been estimated from macroeconomic data.