Hostname: page-component-848d4c4894-hfldf Total loading time: 0 Render date: 2024-04-30T20:47:00.716Z Has data issue: false hasContentIssue false

An Empirical Examination of Call Option Values Implicit in U.S. Corporate Bonds

Published online by Cambridge University Press:  06 April 2009

Tao-Hsien Dolly King
Affiliation:
dking@uwm.edu, School of Business Administration, University of Wisconsin-Milwaukee, PO Box 742, Milwaukee, WI 53201.

Abstract

This study examines call option values implicit in U.S. corporate bonds from 1973 to 1994. The average call option value is 2.25% of par. Over time, call values remain close to zero until one year before the first call date, reach a maximum at the beginning of the callable period, and slowly decrease thereafter. The determinants of call values are examined. The results show that bonds of firms that have called aggressively in the past have larger call values. Additionally, lower interest rates, smaller slopes of the yield curve, and higher interest rate volatility lead to larger call values. The results also show that call values increase with time to maturity in the callable period but decrease with time to maturity in the call protection period. Lower rated, higher coupon bonds have larger call values. There is no evidence that the length of the call protection period affects call values.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Allen, D. S.; Lamy, R. E.; and Thompson, G. R.. “The Shelf Registration of Debt and Self Selection Bias.” Journal of Finance, 45 (1990), 275287.CrossRefGoogle Scholar
Belsley, D. A.; Kuh, E.; and Welsch, R. E.. Regression Diagnostics. New York, NY: John Wiley and Sons (1980).CrossRefGoogle Scholar
Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, 81 (1973), 637659.CrossRefGoogle Scholar
Bliss, R. R., and Ronn, E. I.. “Callable U.S. Treasury Bonds: Optimal Calls, Anomalies, and Implied Volatilities.” Journal of Business, 71 (1998), 211252.CrossRefGoogle Scholar
Brennan, M., and Schwartz, E.. “Savings Bonds, Retractable Bonds, and Callable Bonds.” Journal of Financial Economics, 5 (1977), 6788.CrossRefGoogle Scholar
Brennan, M., and Schwartz, E.. “A Continuous Time Approach to the Pricing of Bonds.” Journal of Banking and Finance, 3 (1979), 133155.CrossRefGoogle Scholar
Brennan, M., and Schwartz, E.. “An Equilibrium Model of Bond Prices and a Test of Market Efficiency.” Journal of Financial and Quantitative Analysis, 17 (1982), 301329.CrossRefGoogle Scholar
Buser, S. A.; Hendershott, P. H.; and Sanders, A. B.. “Determinant of the Value of Call Options on Default-Free Bonds.” Journal of Business, 63 (1990), 3350.CrossRefGoogle Scholar
Constantinides, G. M., and Ingersoll, J. E. JrOptimal Bond Trading with Personal Taxes.” Journal of Financial Economics, 13 (1984), 299355.CrossRefGoogle Scholar
Cox, J. C.; Ingersoll, J. E.; and Ross, S. A.. “A Theory of the Term Structure of Interest Rates.” Econometrica, 53 (1985), 385408.CrossRefGoogle Scholar
Crabbe, L. E. “Callable Corporate Bonds: A Vanishing Breed.” FEDSWorking Paper 155, Board of Governors of the Federal Reserve System, Division of Research and Statistics (1991).Google Scholar
Crabbe, L. E., and Helwege, J.. “Alternative Tests of Agency Theories of Callable Corporate Bonds.” Financial Management, 23 (1994), 320.CrossRefGoogle Scholar
Dothan, L. U.On the Term Structure of Interest Rates.” Journal of Financial Economics, 6 (1980), 5969.CrossRefGoogle Scholar
Duffee, G. R.The Relation between Treasury Yields and Corporate Bond Yield Spreads.” Journal of Finance, 53 (1998), 22252241.CrossRefGoogle Scholar
Edleson, M. E.; Fehr, D.; and Mason, S. P.. “Are Negative Put and Call Option Prices Implicit in Callable Treasury Bonds?” Working Paper, Harvard Business School (1993).Google Scholar
Elton, E. J., and Green, T. C.. “Tax and Liquidity Effects in Pricing Government Bonds.” Journal of Finance, 53 (1998), 15331562.CrossRefGoogle Scholar
Fama, E. F., and French, K. R.. “Common Risk Factors in the Returns on Stocks and Bonds.” Journal of Financial Economics, 33 (1993), 357.CrossRefGoogle Scholar
Fung, W. K. H., and Rudd, A.. “Pricing New Corporate Bond Issues: An Analysis of Issue Cost and Seasoning Effects.” Journal of Finance, 41 (1986), 633643.CrossRefGoogle Scholar
Ho, T., and Lee, S. B.. “Term Structure Movements and Pricing of Interest Rate Claims.” Journal of Finance, 41 (1986), 10111029.CrossRefGoogle Scholar
Hull, J., and White, A.. “Pricing Interest-Rate Derivative Securities.” Review of Financial Studies, 3 (1990), 573592.CrossRefGoogle Scholar
Ingersoll, J. E.A Contingent-Claims Valuation of Convertible Securities.” Journal of Financial Economics, 4 (1977), 289321.CrossRefGoogle Scholar
Jordan, B. D., and Jordan, S. D.. “Tax Options and the Pricing of Treasury Bond Triplets: Theory and Evidence.” Journal of Financial Economics, 30 (1991), 135164.Google Scholar
Jordan, B. D.; Jordan, S. D.; and Jorgensen, R.. “A Reexamination of Option Values Implicit in Callable Treasury Bonds.” Journal of Financial Economics, 38 (1995), 141162.CrossRefGoogle Scholar
Jordan, B. D.; Jordan, S. D.; and Kuipers, D. R.. “The Mispricing of Callable U.S. Treasury Bonds: A Closer Look.” Journal of Futures Markets, 18 (1998), 3551.3.0.CO;2-9>CrossRefGoogle Scholar
Jordan, B. D.; Jorgensen, R. D.; and Kuipers, D. R.. “The Relative Pricing of U.S. Treasury STRIPS: Empirical Evidence.” Journal of Financial Economics, 56 (2000), 89123.CrossRefGoogle Scholar
Kidwell, D. S.; Marr, M. W.; and Thompson, G. R.. “SEC Rule 415: The Ultimate Competitive Bid.” Journal of Financial and Quantitative Analysis, 19 (1984), 183195.CrossRefGoogle Scholar
Kim, I. J.; Ramaswamy, K.; and Sundaresan, S.. “Does Default Risk in Coupons Affect the Valuation of Corporate Bonds? A Contingent Claims Model.” Financial Management, 22 (1993), 117132.CrossRefGoogle Scholar
King, T. D., and Mauer, D. C.. “Corporate Call Policy of Nonconvertible Bonds.” Journal of Business, 73 (2000), 403444.CrossRefGoogle Scholar
Lamy, R. E., and Thompson, G. R.. “Risk Premia and the Pricing of Primary Issue Bonds.” Journal Banking and Finance, 12 (1988), 585601.CrossRefGoogle Scholar
Langetieg, T. C.A Multivariate Model of the Term Structure.” Journal of Finance, 35 (1980), 7197.Google Scholar
Litzenberger, R. H., and Rolfo, J.. “Arbitrage Pricing, Transaction Costs and Taxation of Capital Gains: A Study of Government Bonds with the Same Maturity Date.” Journal of Financial Economics, 13 (1984), 337351.CrossRefGoogle Scholar
Longstaff, F. A.A Nonlinear Equilibrium Model of the Term Structure of Interest Rates.” Journal Financial Economics, 23 (1989), 195224.CrossRefGoogle Scholar
Longstaff, F. A.. “Are Negative Option Prices Possible? The Callable U.S Treasury Bond Puzzle.” Journal of Business, 65 (1992), 571592.CrossRefGoogle Scholar
Longstaff, F. A.. “The Valuation of Options on Coupon Bonds.” Journal of Banking and Finance, 17 (1993), 2742.CrossRefGoogle Scholar
Longstaff, F. A., and Tuckman, B. A.. “Calling Nonconvertible Debt and the Problem of Related Wealth Transfer Effects.” Financial Management, 23 (1994), 2127.CrossRefGoogle Scholar
Mauer, D. C.Optimal Bond Call Policy under Transaction Costs.” Journal of Financial Research, 16 (1993), 2337.CrossRefGoogle Scholar
Merton, R. C.Theory of Rational Option Pricing.” Bell Journal of Economics and Management Science, 4 (1973), 141183.Google Scholar
Richard, S.An Arbitrage Model of the Term Structure of Interest Rates.” Journal of Financial Economics, 6 (1979), 3357.CrossRefGoogle Scholar
Vasicek, O.An Equilibrium Characterization of the Term Structure.” Journal of Financial Economics, 5 (1977), 177188.CrossRefGoogle Scholar