The Time Decay of Bond Premium and Discount—An Analysis of the Time Passage Effect on Bond Prices

DOI: 10.4236/tel.2014.45043   PDF   HTML   XML   6,210 Downloads   7,622 Views  


In this paper, we show that the price of a premium bond and the price of a discount bond will both move toward face value at an increasing rate as the bonds approach maturity. We present a mathematical proof to show that the decline in premium and discount decline over time, to be referred to as time decay, accelerates as time passes by. We also provide numerical examples and graphical representations to illustrate the time passage effect on bond prices and discuss the implications of the findings to bond investor and asset managers in light of the quantitative easing policies taken by central banks after the 2008 financial crisis.

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Brusa, J. , Gu, J. and Liu, G. (2014) The Time Decay of Bond Premium and Discount—An Analysis of the Time Passage Effect on Bond Prices. Theoretical Economics Letters, 4, 323-330. doi: 10.4236/tel.2014.45043.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Brigham, E. and Houston, J. (2012) Fundamentals of Financial Management. 7th Edition, South-Western Cengage, Boston.
[2] Booth, L., Cleary, S. and Drake, P. (2014) Corporate Finance. John Wiley & Sons, Hoboken.
[3] Gitman, L., Joehnk, M. and Smart, S. (2011) Fundamentals of Investing. 11th Edition, Prentice Hall, Upper Saddle River.
[4] Keown, A., Martin, J. and Petty, W. (2014) Foundation of Finance. 8th Edition, Pearson, London.
[5] Fabozzi, F. (2007) Fixed Income Analysis. 2nd Edition, Wiley, Hoboken.
[6] Sharpe, W., Alexander, G. and Bailey, J. (1998) Investments. 6th Edition, Prentice Hall, Upper Saddle River.
[7] Lasher, W. (2014) Practical Financial Management. 7th Edition, Cengage Learning, Boston.
[8] Merton, R. (1973) Theory of Rational Option Pricing. The Bell Journal of Economics and Management Science, 4, 141-183.
[9] Smith, C. (1976) Option Pricing: A Review. Journal of Financial Economics, 3, 3-51.

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