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Journal Article
Movements in the term structure of interest rates
Bond prices tend to move together. Stocks tend to go their own way. This distinction requires completely different approaches to managing risks for these securities. For equities the emphasis is on reducing idiosyncratic risk through portfolio diversification. For interest rate-sensitive securities it is on precisely balancing a portfolio to achieve the desired exposure to systematic risk factors. ; Hedging to reduce or eliminate the common factors influencing an interest rate-sensitive portfolio's value requires a model of interest rate behavior. This article reviews and extends previous ...
Journal Article
Policy essay - risk-based bank capital: issues and solutions
Market risk has become an integral consideration in bank business. Derivatives are increasingly used as a means of risk management, and bank involvement in derivatives trading represents a new, different, and very important line of business. Existing regulations for the determination of bank capital, based on the quality of assets held, are not appropriate for trading portfolio assets where exposure to market risk factors is of primary importance. ; This essay discusses three major proposals for dealing with market risk in determining banks' risk-based capital. The standard and internal model ...
Journal Article
To call or not to call?: optimal call policies for callable U.S. Treasury bonds
Until 1984, the U.S. Treasury typically issued its long-term bonds in callable form. A number of these securities, totaling $93.8 billion in face value, remain outstanding. After a call protection period, usually five years prior to maturity, the Treasury can call the bonds but must give prior notification of intent to call. This article develops a decision rule, which takes account of the prior notification requirement, when it is optimal to call such bonds. ; The decision of whether to call is based on the current level of interest rates and their volatility. For a call to be optimal for ...
Working Paper
Callable U.S. Treasury bonds: optimal calls, anomalies, and implied volatilities
Previous studies on interest rate derivatives have been limited by the relatively short history of most traded derivative securities. The prices for callable U.S. Treasury securities, available for the period 1926?95, provide the sole source of evidence concerning the implied volatility of interest rates over this extended period. Using the prices of callable, as well as non-callable, Treasury instruments, this paper estimates implied interest rate volatilities for the past seventy years. Our technique for estimating implied volatilities enables us to address two important issues concerning ...
Working Paper
Testing term structure estimation methods
This paper tests and compares five distinct methods for estimating the term structure. The Unsmoothed Fama-Bliss method is an iterative method by which the discount rate function is built up by computing the forward rate necessary to price successively longer maturity bonds. The Smoothed Fama-Bliss "smooths out" these discount rates by fitting an approximating function to the "unsmoothed" rates. The McCulloch method fits a cubic spline to the discount function using an implicit smoothness penalty, while the Fisher-Nychka-Zervos method fits a cubic spline to the forward rate function and ...
Working Paper
The stability of interest rate processes
This paper presents a careful reexamination of Chan, Karolyi, Longstaff, and Sanders (CKLS 1992). By redefining the possible regime shift period in line with evidence from known policy changes and past empirical research, we find evidence that contradicts the major results in their paper. The widely cited conclusion of their paper is that the elasticity of interest rate volatility is 1.5. CKLS also concluded that there was no structural shift in the interest rate process after October 1979. When the structural shift period is defined to be temporary and coincident with the Federal Reserve ...
Working Paper
The implied volatility of U.S. interest rates: evidence from callable U. S. Treasuries
The prices for callable U.S. Treasury securities provide the sole source of evidence concerning the implied volatility of interest rates over the extended 1926-1994 period. This paper uses the prices of callable as well as non-callable Treasury instruments to estimate implied interest rate volatilities for the past sixty years, and, for the more recent 1989-1994 period, the cross-sectional term structures of implied interest rate volatility. We utilize these estimates to perform cross-sectional richness/cheapness analysis across callable Treasuries. Inter alia, we develop the optimal call ...
Working Paper
Empirical tests of two state-variable HJM models
Models for pricing interest rate claims, developed under the Heath-Jarrow-Morton paradigm, differ according to the volatility structure imposed on forward rates. For most general HJM structures the resultant path dependence creates implementation problems. Ritchken and Sankarasubramanian have recently identified necessary and sufficient conditions on the class of volatility structures of forward rates that enable the term structure dynamics to be captured by a finite set of state variables. The class is quite rich. The instantaneous spot rate volatility may be quite general, but the model ...
Conference Paper
Empirical tests of two state-variable Heath-Jarrow models
Journal Article
Derivatives clearing and settlement: a comparison of central counterparties and alternative structures
Most exchange-traded and some over-the-counter (OTC) derivatives are cleared and settled through clearinghouses that function as central counterparties (CCPs). Most OTC derivatives are settled bilaterally. This article discusses how these alternative mechanisms affect the functioning of derivatives markets and describes some of the advantages and disadvantages of each.