Across-the-Curve Credit Spread Indices

We design a novel across-the-curve credit spread index, AXI, a measure of the recent cost of wholesale unsecured debt funding for publicly listed US bank holding companies and commercial banks. AXI, a benchmark for bank lending and risk management, is the weighted average of credit spreads for unsecured debt instruments with maturities ranging from overnight to five years, with weights that reflect both transaction and issuance volumes. We provide illustrative output of the bond-based component of AXI. By widening coverage to include all corporate debt issuers, we also build a financial conditions index (FXI).     

The Lévy LIBOR model

Models driven by Lévy processes are attractive because of their greater flexibility compared to classical diffusion models. First we derive the dynamics of the LIBOR rate process in a semimartingale as well as a Lévy Heath-Jarrow-Morton setting. Then we introduce a Lévy LIBOR market model. In order to guarantee positive rates, the LIBOR rate process is constructed as an ordinary exponential. Via backward induction we get that the rates are martingales under the corresponding forward measures. An explicit formula to price caps and floors which uses bilateral Laplace transforms is derived.     

Implied Volatility of Interest Rate Options: An Empirical Investigation of the Market Model

We analyze the empirical properties of the volatilityimplied in options on the 13-week US Treasury bill rate. These options havenot been studied previously. It is shown that a European style put optionon the interest rate is equivalent to a call option on a zero-coupon bond.We apply the LIBOR market model and conduct a battery of validity tests tocompare three different volatility specifications: contact, affine, and exponentialvolatility. It appears that the additional parameter in the affine and theexponential volatility function is not justified. Overall, the LIBOR marketmodel fares well in describing these options.     

Time-changed Lévy LIBOR market model: Pricing and joint estimation of the cap surface and swaption cube

We propose a novel time-changed Lévy LIBOR (London Interbank Offered Rate) market model for jointly pricing of caps and swaptions. The time changes are split into three components. The first component allows matching the volatility term structure, the second generates stochastic volatility, and the third accommodates for stochastic skew. The parsimonious model is flexible enough to accommodate the behavior of both caps and swaptions. For the joint estimation we use a comprehensive data set spanning the financial crisis of 2007–2010. We find that, even during this period, neither market is as fragmented as suggested by the previous literature.     

Supervisor and Market Analysts: What Should Research be Seeking?

This article is primarily directed towards examining the desirability of incorporating market signals in the process of supervision of commercial banks by regulators and insurers. But the ideas developed here can also be applied to the general problem of using market information to assess the solvency and safety of any financial or non-financial institution.Market prices and yields of securities anticipate actions by regulators, central banks, and other players due to the fact that such actions may materially influence the risk and the expected return associated with investment decisions pertaining to those securities. It is well known that the yield curve of government securities such as T-bills, T-notes and T-bonds reflect the market's consensus regarding the actions that the Federal reserve may take as they pertain to the valuation of such securities. The extent to which the market has already discounted the future actions of the central bank will no doubt play a role in the way in which the central bank may think about its actions, its actual effect and how it relates to its intended effects.The extent to which market prices can provide useful guides depends on the underlying market structure and the practices in the industry.While markets may do lot of the hard work in aggregating and incorporating future actions, the task of supervision and regulation can never be put on automatic pilot. Ideally, supervisory policies should effectively combine the market signals with initiatives that serve to maintain the safety and the soundness of the underlying markets. I will begin by exploring the extent to which equity prices may be used as a signal of bank credit risk. I will then explore the advantages and disadvantages of using subordinated debt securities to derive a market signal.     

FAST MONTE CARLO GREEKS FOR FINANCIAL PRODUCTS WITH DISCONTINUOUS PAY‐OFFS

We introduce a new class of numerical schemes for discretizing processes driven by Brownian motions. These allow the rapid computation of sensitivities of discontinuous integrals using pathwise methods even when the underlying densities postdiscretization are singular. The two new methods presented in this paper allow Greeks for financial products with trigger features to be computed in the LIBOR market model with similar speed to that obtained by using the adjoint method for continuous pay‐offs. The methods are generic with the main constraint being that the discontinuities at each step must be determined by a one‐dimensional function: the proxy constraint. They are also generic with the sole interaction between the integrand and the scheme being the specification of this constraint.     

A comparison of the information in the LIBOR and CMT term structures of interest rates

We investigate the information contained in the London Interbank Offered Rate (LIBOR) and the U.S. Constant Maturity Treasury (CMT) term structure of interest rates and report three novel findings. First, we document that the information contained in term structures are significantly different from one another. Second, we provide evidence of a significant change in the nature of this difference as the financial crisis began. Third, we find that the significant changes in the information content of CMT and LIBOR are consistent with significant shocks to credit default swap rates and tenor swap rates.