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A YIELD‐FACTOR MODEL OF INTEREST RATES
Abstract
This paper presents a consistent and arbitrage‐free multifactor model of the term structure of interest rates in which yields at selected fixed maturities follow a parametric muitivariate Markov diffusion process with “stochastic volatility.” the yield of any zero‐coupon bond is taken to be a maturity‐dependent affine combination of the selected “basis” set of yields. We provide necessary and sufficient conditions on the stochastic model for this affine representation. We include numerical techniques for solving the model, as well as numerical techniques for calculating the prices of term‐structure derivative prices. the case of jump diffusions is also considered.
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Cites
The pricing of options and corporate liabilities
Black, F., & Scholes, M. (1973) · Journal of Political Economy · doi:10.1086/260062 · Cited by 29,074
Cited by
Prospect Theory and Asset Prices
Barberis, N., Huang, M., & Santos, T. (2001) · The Quarterly Journal of Economics · doi:10.1162/003355301556310 · Cited by 1,895
Arbitrage Theory in Continuous Time
Björk, T. (2004) · doi:10.1093/0199271267.001.0001 · Cited by 940
The econometrics of financial markets
Pagan, A. (1996) · Journal of Empirical Finance · doi:10.1016/0927-5398(95)00020-8 · Cited by 873
Estimating quadratic variation using realized variance
Barndorff‐Nielsen, O. E., & Shephard, N. (2002) · Journal of Applied Econometrics · doi:10.1002/jae.691 · Cited by 616
Who Should Buy Long-Term Bonds?
Campbell, J. Y., & Viceira, L. M. (2001) · American Economic Review · doi:10.1257/aer.91.1.99 · Cited by 616
Metadata
- Authors
- Duffie, D., & Kan, R.
- Venue
- Mathematical Finance
- Publisher
- Wiley
- Published
- 1996-10
- Volume
- 6
- Issue
- 4
- Pages
- 379-406
- ISSN
- 0960-1627 (ISSN-L)
- 1467-9965
- OpenAlex
- W2068629725
- Cited by
- 2,491
- References
- 1
- FWCI
- 84.62
- Type
- journal article
- Language
- en
- Open access
- closed
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- Duffie, D., & Kan, R. (1996). A YIELD‐FACTOR MODEL OF INTEREST RATES. Mathematical Finance. https://doi.org/10.1111/j.1467-9965.1996.tb00123.x
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.