This paper develops a new methods for measuring tax effects in bond markets and presents empirical results for British Government Securities. The basic idea is to construct a least cost portfolio which, for investors in a given tax bracket, dominates a given bond. A portfolio is said to dominate a bond if it provides cash flows which are at least as great in every period, and has a lower price. In effect our method calculates an upper bound on the value of a bond to investors in a given tax bracket. The results demonstrate (i) the existence of clientele effects and (ii) the absence of an ‘effective tax rate’.

Stephen M. Schaefer, Taxation and Bond Market Equilibrium in a World of Uncertain Future Interest Rates: Comment, The Journal of Financial and Quantitative Analysis, Vol. 16, No. 5 (Dec., 1981), pp. 773-777

Stephen M. Schaefer, Discussion: Analyzing Convertible Bonds, The Journal of Financial and Quantitative Analysis, Vol. 15, No. 4, Proceedings of 15th Annual Conference of the Western Finance Association, June 19-21, 1980, San Diego, California (Nov., 1980), pp. 931-932

Stephen M. Schaefer, Conditional Predictions of Bond Prices and Returns: Discussion, The Journal of Finance, Vol. 35, No. 2, Papers and Proceedings Thirty-Eighth Annual Meeting American Finance Association, Atlanta, Georgia, December 28-30, 1979 (May, 1980), pp. 417-419

Value-at-risk methods which employ a linear (“delta only”) approximation to the relation between instrument values and the underlying risk factors are unlikely to be robust when applied to portfolios containing non-linear contracts such as options. The most widely used alternative to the delta-only approach involves revaluing each contract for a large number of simulated values of the underlying factors. In this paper we explore an alternative approach which uses a quadratic approximation to the relation between asset values and the risk factors. This method (i) is likely to be better adapted than the linear method to the problem of assessing risk in portfolios containing non-linear assets, (ii) is less computationally intensive than simulation using full-revaluation and (iii) in common with the delta-only method, operates at the level of portfolio characteristics (deltas and gammas) rather than individual instruments.

This paper estimates real term structures from cross-sections of British government index-linked (‘realrd) bond prices. The Cox, Ingersoll, and Ross (1985) model is then fitted to the same data; the model closely approximates the shapes of the directly-estimated term structures. In contrast to similar studies of the nominal term structure, the long-term zero-coupon yield is quite stable, as the CIR model predicts, and in common with previous studies, the level of implied short rate volatility corresponds well with time series estimates. The other parameters, however, are often highly correlated and intertemporal parameter stability is rejected.

Are standard structural models able to explain credit spreads on corporate bonds? In contrast to much of the literature, we find that the Black-Cox model matches the level of investment-grade spreads well. Model spreads for speculative-grade debt are too low, and we find that bond illiquidity contributes to this underpricing. Our analysis makes use of a new approach for calibrating the model to historical default rates that leads to more precise estimates of investment-grade default probabilities. Received October 25, 2016; editorial decision January 12, 2018 by Editor Andrew Karolyi. Authors have furnished an Internet Appendix, which is available on the Oxford University Press Web site next to the link to the final published paper online.

Stephen M. Schaefer, Eduardo S. Schwartz, A Two-Factor Model of the Term Structure: An Approximate Analytical Solution, The Journal of Financial and Quantitative Analysis, Vol. 19, No. 4 (Dec., 1984), pp. 413-424

ABSTRACT In this paper, we develop a model for valuing debt options that takes into account the changing characteristics of the underlying bond by assuming that the standard deviation of return is proportional to the bond's duration. The resulting model uses the bond price as the single state variable and thus preserves much of the simplicity and robustness of the Black‐Scholes approach. The paper provides comparisons between option prices computed using this model and those using the Black‐Scholes and Brennan and Schwartz models.