Let Q be the set of equivalent martingale measures for a given process S, and let X be a process which is a local supermartingale with respect to any measure in Q. The optional decomposition theorem for X states that there exists a predictable integrand ф such that the difference...

We analyze a general business tax in an uncertain economy. Our tax system allows for a time-dependent tax rate and to this end we incorporate a generalized allowance for corporate equity (ACE). The generalized allowance is given by a fraction of the product of interest rate and book value of the...

We provide an in-depth analysis of the theoretical properties of the Hansen-Jagannathan (HJ) distance that incorporates a no-arbitrage constraint. Under a multivariate elliptical distribution assumption, we present explicit expressions for the HJ-distance with a no-arbitrage constraint, the...

Under the assumption of multivariate normality of asset returns, this paper presents a geometrical interpretation and the finite-sample distributions of the sample Hansen-Jagannathan (1991) bounds on the variance of admissible stochastic discount factors, with and without the nonnegativity...

Suppose the value of a firm is endogenously determined by a manager's costly effort. We call this manager a distinguished player if he also can trade shares of the firm on a market. Arbitrage-free asset pricing theory suggests that the equilibrium market price reflects the value increasing...

This paper employs a Zero Lower Bound (ZLB) consistent shadow-rate model to decompose UK nominal yields into expectation and term premia components. Compared to a standard affine term structure model, it performs relatively better in a ZLB setting and effectively captures the countercyclical...

This paper investigates how different macroeconomic shocks affect the term-structure of interest rates in Mexico. In particular, we develop a model that combines a no-arbitrage specification of the term structure with a macroeconomic model of a small open economy. We find that shocks that are...

We develop and estimate an affine model that characterizes the dynamics of the term structure of interest rates in Mexico. Moreover, we provide empirical evidence on the relationship between the term structure factors and macroeconomic variables. First, we show that the model fits the data...

It is shown how to construct an arbitrage-free short rate model under uncertainty about the drift and the volatility. The uncertainty is represented by a set of priors, which naturally leads to a G-Brownian motion. Within this framework, it is shown how to characterize the whole term structure...

We show how to set up a forward rate model in the presence of volatility uncertainty by using the theory of G-Brownian motion. In order to formulate the model, we extend the G-framework to integration with respect to two integrators and prove a version of Fubini's theorem for stochastic...