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The effect of taxation on the pricing of government securities

Published online by Cambridge University Press:  20 April 2012

Extract

0.1. Since the concept of immunization was introduced in Redington (1952) many new ideas have been advanced in connexion with the pricing of government securities. It is shown in Bierwag (1977) for example, that the applicability of an immunization strategy depends on the form of movements assumed possible in the yield curve.

0.2. Much of this earlier work has been framed in deterministic terms, where prices or yields are assumed to be known in advance, and uncertainty has been introduced via arbitrary instantaneous changes in those yields. It is easily shown that portfolios of securities with a given mean term or duration are immune (in the sense of yielding the same return at the required realization date) to certain forms of instantaneous change.

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1984

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References

Arnold, L. (1974) Stochastic differential equations: Theory and applications Wiley—Interscience.Google Scholar
Bierwag, G. O. (1977) Immunization, duration, and the term structure of interest rates. J. Fin. & Quant. Anal., 725–41.CrossRefGoogle Scholar
Boyle, P. P. (1978) Immunization under stochastic models of the term structure. J.I.A., 105, 177.Google Scholar
Brennan, M. J. & Schwartz, E. S. (1977) Savings bonds, retractable bonds and callable bonds. J. Fin. Econ., 5, 6788. (1982) Bond pricing and market efficiency. Fin. Anal. J., 49–56.CrossRefGoogle Scholar
Clarkson, R. S. (1979) A mathematical model for the gilt-edged market. J.I.A., 106, 85.Google Scholar
(1983) A market equilibrium model for the management of ordinary share portfolios. J.I.A., 110, 17.Google Scholar
Courant, R. & Hilbert, D. Methods of Mathematical Physics: Vol. 2 (Interscience).Google Scholar
Fisher, L. & Weil, R. L. (1971) Coping with the risk of market rate fluctuations: Returns to bondholders from naive and optimal strategies. J. of Bus., 408–31.Google Scholar
Hessel, C. A. & Huffman, L. (1981) The effects of taxation on immunization rules and duration estimation. J. of Fin., 1127–42.Google Scholar
Merton, R. C. (1971) Optimum consumption and portfolio rules in a continuous-time model. J. Econ. Theory 3, 373413.CrossRefGoogle Scholar
Michaelsen, J. B. (1973) The Terms Structure of Interest Rates. Intext Educational.Google Scholar
McCulloch, J. H. (1975) The tax adjusted yield curve. J. of Fin., 30, 811–30.Google Scholar
Redington, F. M. (1952) Review of the principles of life office valuations. J.I.A., 78, 285.Google Scholar
Roll, R. (1977) A critique of the asset pricing theory's tests; Part 1: On past and potential testability of the theory. J. Fin. Econ., 4, 129–76.CrossRefGoogle Scholar
Schaefer, S. M. (1981) Measuring a tax-specific term structure of interest rates in the market for British Government Securities, Econ. J., 91, 415–38.Google Scholar
Shiller, R. J. & Modigliani, F. (1979) Coupon and tax effects on new and seasoned bond yields and the measurement of the cost of debt capital. J. Fin. Econ., 7, 297318.CrossRefGoogle Scholar
Vasicek, O. (1977) An equilibrium characterization of the term structure. J. of Fin. Econ., 5, 177–88.CrossRefGoogle Scholar