With nominal interest rates currently at or near their zero lower bound (ZLB) in many major economies, it has become untenable to apply Gaussian affine term structure models (GATSMs) while ignoring their inherent non-zero probabilities of negative interest rates. In this article I modify GATSMs...

I propose a simple framework that quantifies the stance of monetary policy as a 'shadow short rate' when the term structure is near the zero lower bound. I demonstrate my framework with a one-factor model applied to Japanese data, including an intuitive economic interpretation of the results,...

The Black framework offers a theoretically appealing way to model the term structure and gauge the stance of monetary policy when the zero lower bound of interest rates becomes constraining, but it is time consuming to apply using standard numerical methods. I outline a faster Monte Carlo...

When nominal interest rates are near their zero lower bound (ZLB), as in many developed economies at the time of writing, it is theoretically untenable to apply the popular class of Gaussian affine term structure models (GATSMs) given their inherent material probabilities of negative interest...

Background: We investigated the determination of the pledged loan-to-value ratio in an optionpricing environment and mainly articulated the theoretical framework and analytical method. Methods: The basic idea is that the present value of the pledged loan payoff is equal to a put option’s...

The yield on the 10-year U.S. Treasury Note is among the most cited interest rates by investors, policymakers, and fnancial institutions. We show that the 10-year Treasury yield's forward-looking volatility, a VIX-style measure that is a proxy for uncertainty about future interest rates, is a...