Jump Diffusion Processes And The Bond Markets
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| Author | : Sanjiv Ranjan Das |
| Publisher | : |
| Total Pages | : |
| Release | : 2009 |
| Genre | : |
| ISBN | : |
This paper develops models of the term structure when the short rate follows a jump-diffusion process. An empirical implementation demonstrates that jump-diffusions better explain interest rate behavior than pure diffusion models. The fit is shown to be improved by an augmented jump-diffusion time varying volatility model proposed here. The effect of skewness and kurtosis on the term structure of interest rates is analyzed. The economic implications of jump activity are explored with the analysis of changes in Federal Reserve target rates and their relationship to the term structure.
| Author | : Sanjiv R. Das |
| Publisher | : |
| Total Pages | : 40 |
| Release | : 1994 |
| Genre | : |
| ISBN | : |
This paper develops models of the term structure when the short rate follows a jump-diffusion process. An empirical implementation demonstrates that jump-diffusions better explain interest rate behavior than pure diffusion models. The fit is shown to be improved by an augmented jump-diffusion time varying volatility model proposed here. The effect of skewness and kurtosis on the jump activity are explored with an analysis of changes in Federal Reserve target rates and their relationship to the term structure.
| Author | : Mandeep S. Chahal |
| Publisher | : |
| Total Pages | : 29 |
| Release | : 2016 |
| Genre | : |
| ISBN | : |
The underlying stochastic processes that drive returns in several emerging bond and stock markets are investigated using the pure diffusion, the jump diffusion, the ARCH pure diffusion, and the ARCH jump diffusion models. The results indicate that jump diffusion models fit the data better than pure diffusion models. Possible sources and linkages of information surprises in emerging stock and bond markets are also investigated. Bond and stock returns of the same country exhibit simultaneous jumps, indicating a possible linkage of the two markets. U.S. equity returns respond to jumps in emerging bond markets but not to jumps in emerging stock markets.
| Author | : J. Benson Durham |
| Publisher | : |
| Total Pages | : 84 |
| Release | : 2005 |
| Genre | : Econometric models |
| ISBN | : |
Affine term structure models in which the short rate follows a jump-diffusion process are difficult to solve, and the parameters of such models are hard to estimate. Without analytical answers to the partial difference differential equation (PDDE) for bond prices implied by jump-diffusion processes, one must find a numerical solution to the PDDE or exactly solve an approximate PDDE. Although the literature focuses on a single linearization technique to estimate the PDDE, this paper outlines alternative methods that seem to improve accuracy. Also, closed-form solutions, numerical estimates, and closed-form approximations of the PDDE each ultimately depend on the presumed distribution of jump sizes, and this paper explores a broader set of possible densities that may be more consistent with intuition, including a bi-modal Gaussian mixture. GMM and MLE of one- and two-factor jump-diffusion models produce some evidence for jumps, but sensitivity analyses suggest sizeable confidence intervals around the parameters.
| Author | : Cheng-Few Lee |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 861 |
| Release | : 2006-07-27 |
| Genre | : Business & Economics |
| ISBN | : 0387262849 |
This is a major new reference work covering all aspects of finance. Coverage includes finance (financial management, security analysis, portfolio management, financial markets and instruments, insurance, real estate, options and futures, international finance) and statistical applications in finance (applications in portfolio analysis, option pricing models and financial research). The project is designed to attract both an academic and professional market. It also has an international approach to ensure its maximum appeal. The Editors' wish is that the readers will find the encyclopedia to be an invaluable resource.
| Author | : Peter Tankov |
| Publisher | : CRC Press |
| Total Pages | : 552 |
| Release | : 2003-12-30 |
| Genre | : Business & Economics |
| ISBN | : 1135437947 |
WINNER of a Riskbook.com Best of 2004 Book Award! During the last decade, financial models based on jump processes have acquired increasing popularity in risk management and option pricing. Much has been published on the subject, but the technical nature of most papers makes them difficult for nonspecialists to understand, and the mathematic
| Author | : Sanjiv Ranjan Das |
| Publisher | : |
| Total Pages | : 34 |
| Release | : 2010 |
| Genre | : |
| ISBN | : |
That interest rates move in a discontinuous manner is no surprise to participants in the bond markets. This paper proposes and estimates a class of Poisson-Gaussian processes that allow for jumps in interest rates. Estimation is undertaken using exact continuous-time and discrete-time estimators. Analytical derivations of the characteristic functions, moments and density functions of jump-diffusion stochastic process are developed and employed in empirical estimation. These derivations are general enough to accommodate any jump distribution. We find that jump processes capture empirical features of the data which would not be captured by diffusion models. The models in the paper enable an assessment of the impact of Fed activity and day-of-week effects on the stochastic process for interest rates. There is strong evidence that existing diffusion models would be well-enhanced by jump processes.
| Author | : Allanus Hak-Man Tsoi |
| Publisher | : World Scientific |
| Total Pages | : 274 |
| Release | : 2011 |
| Genre | : Business & Economics |
| ISBN | : 9814355712 |
Pt. I. Stochastic analysis and systems. 1. Multidimensional Wick-Ito formula for Gaussian processes / D. Nualart and S. Ortiz-Latorre. 2. Fractional white noise multiplication / A.H. Tsoi. 3. Invariance principle of regime-switching diffusions / C. Zhu and G. Yin -- pt. II. Finance and stochastics. 4. Real options and competition / A. Bensoussan, J.D. Diltz and S.R. Hoe. 5. Finding expectations of monotone functions of binary random variables by simulation, with applications to reliability, finance, and round robin tournaments / M. Brown, E.A. Pekoz and S.M. Ross. 6. Filtering with counting process observations and other factors : applications to bond price tick data / X. Hu, D.R. Kuipers and Y. Zeng. 7. Jump bond markets some steps towards general models in applications to hedging and utility problems / M. Kohlmann and D. Xiong. 8. Recombining tree for regime-switching model : algorithm and weak convergence / R.H. Liu. 9. Optimal reinsurance under a jump diffusion model / S. Luo. 10. Applications of counting processes and martingales in survival analysis / J. Sun. 11. Stochastic algorithms and numerics for mean-reverting asset trading / Q. Zhang, C. Zhuang and G. Yin
| Author | : Koji Kusuda |
| Publisher | : |
| Total Pages | : 328 |
| Release | : 2003 |
| Genre | : |
| ISBN | : |
| Author | : Chunsheng Zhou |
| Publisher | : |
| Total Pages | : 64 |
| Release | : 1997 |
| Genre | : Credit |
| ISBN | : |
