메뉴 건너뛰기




Volumn 12, Issue 8, 2009, Pages 1213-1230

Credit risk modeling using time-changed brownian motion

Author keywords

Credit derivative; Credit risk; Default probability; First passage time; L vy process; Structural credit model; Time change

Indexed keywords


EID: 75649092635     PISSN: 02190249     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219024909005646     Document Type: Article
Times cited : (28)

References (32)
  • 2
    • 0035648379 scopus 로고    scopus 로고
    • Non-Gaussian Ornstein-Uhlenbeck-based models and some of their uses in financial economics
    • O. Barndorff-Nielsen and N. Shephard, Non-Gaussian Ornstein-Uhlenbeck- based models and some of their uses in financial economics, J. Royal Statist. Soc., Series B 63 (2001).
    • (2001) J. Royal Statist. Soc., Series B , vol.63
    • Barndorff-Nielsen, O.1    Shephard, N.2
  • 3
    • 0031524138 scopus 로고    scopus 로고
    • Normal inverse Gaussian distribution and stochastic volatility modelling
    • O. E. Barndorff-Nielsen, Normal inverse Gaussian distribution and stochastic volatility modelling, Scandinavian Journal of Statistics 24 (1997) 1-13.
    • (1997) Scandinavian Journal of Statistics , vol.24 , pp. 1-13
    • Barndorff-Nielsen, O.E.1
  • 4
    • 75649132320 scopus 로고    scopus 로고
    • Dynamic modelling of single-name credits and CDO tranches
    • at
    • M. Baxter, Dynamic modelling of single-name credits and CDO tranches, working paper (2006), at www.defaultrisk.com/pp crdrv 07.htm.
    • (2006) Working Paper
    • Baxter, M.1
  • 5
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • J. Bertoin, Ĺevy Processes (Cambridge University Press, Cambridge, 1996).
    • (1996) Ĺevy Processes
    • Bertoin, J.1
  • 6
    • 0016645863 scopus 로고
    • Fluctuation theorems in continuous time
    • N. H. Bingham, Fluctuation theorems in continuous time, Adv. Appl. Prob. 7 (1975) 705-766.
    • (1975) Adv. Appl. Prob. , vol.7 , pp. 705-766
    • Bingham, N.H.1
  • 7
    • 84944831925 scopus 로고
    • Valuing corporate securities
    • F. Black and J. C. Cox, Valuing corporate securities, J. Finance 31 (1976) 351-367.
    • (1976) J. Finance , vol.31 , pp. 351-367
    • Black, F.1    Cox, J.C.2
  • 11
    • 33747889922 scopus 로고    scopus 로고
    • Stock options and credit default swaps: A joint framework for valuation and estimation
    • P. Carr and L. Wu, Stock options and credit default swaps: A joint framework for valuation and estimation. working paper (2005).
    • (2005) Working Paper
    • Carr, P.1    Wu, L.2
  • 12
    • 75649149950 scopus 로고    scopus 로고
    • Credit spreads, optimal capital structure, and implied volatility with endogenous default and jump risk
    • available at
    • N. Chen and S. Kou, Credit spreads, optimal capital structure, and implied volatility with endogenous default and jump risk. Working paper (2005), available at http://www.defaultrisk.com/pp price 71.htm.
    • (2005) Working Paper
    • Chen, N.1    Kou, S.2
  • 13
    • 1342318409 scopus 로고    scopus 로고
    • Chapman & Hall/CRC Financial Mathematics Series (Chapman & Hall/CRC, Boca Raton, FL)
    • R. Cont and P. Tankov, Financial Modelling with Jump Processes, Chapman & Hall/CRC Financial Mathematics Series (Chapman & Hall/CRC, Boca Raton, FL, 2004).
    • (2004) Financial Modelling with Jump Processes
    • Cont, R.1    Tankov, P.2
  • 14
    • 0033416234 scopus 로고    scopus 로고
    • Modeling term structures of defaultable bonds
    • D. Duffie and K. Singleton, Modeling term structures of defaultable bonds, Review of Financial Studies 12 (1999) 687-720.
    • (1999) Review of Financial Studies , vol.12 , pp. 687-720
    • Duffie, D.1    Singleton, K.2
  • 15
    • 0035592164 scopus 로고    scopus 로고
    • Time changes for Ĺevy processes
    • H. Geman, D. B. Madan and M. Yor, Time changes for Ĺevy processes, Math. Finance 11(1) (2001) 79-96.
    • (2001) Math. Finance , vol.11 , Issue.1 , pp. 79-96
    • Geman, H.1    Madan, D.B.2    Yor, M.3
  • 16
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bond and currency options
    • S. L. Heston, A closed-form solution for options with stochastic volatility with applications to bond and currency options, Rev. Financial Studies 6(2) (1993) 327-343.
    • (1993) Rev. Financial Studies , vol.6 , Issue.2 , pp. 327-343
    • Heston, S.L.1
  • 17
    • 67249159818 scopus 로고    scopus 로고
    • Affine Markov chain models of multifirm credit migration
    • T. R. Hurd and A. Kuznetsov, Affine Markov chain models of multifirm credit migration, J. of Credit Risk 3 (2007) 3-29.
    • (2007) J. of Credit Risk , vol.3 , pp. 3-29
    • Hurd, T.R.1    Kuznetsov, A.2
  • 18
    • 64249155094 scopus 로고    scopus 로고
    • On the first passage time for Brownian motion subordinated by a Ĺevy process
    • T. R. Hurd and A. Kuznetsov, On the first passage time for Brownian motion subordinated by a Ĺevy process, Jour. Appl. Probab. (2009) 181-198.
    • (2009) Jour. Appl. Probab. , pp. 181-198
    • Hurd, T.R.1    Kuznetsov, A.2
  • 19
    • 0031514515 scopus 로고    scopus 로고
    • A Markov model for the term structure of credit risk spreads
    • R. Jarrow, D. Lando and S. Turnbull, A Markov model for the term structure of credit risk spreads, Review of Financial Studies (1997) 481-523.
    • (1997) Review of Financial Studies , pp. 481-523
    • Jarrow, R.1    Lando, D.2    Turnbull, S.3
  • 20
    • 33847342433 scopus 로고    scopus 로고
    • Structural versus reduced form models: A new information based perspective
    • R. Jarrow and P. Protter, Structural versus reduced form models: A new information based perspective, Jour. Investment Management 2 (2004) 1-10.
    • (2004) Jour. Investment Management , vol.2 , pp. 1-10
    • Jarrow, R.1    Protter, P.2
  • 21
    • 84993907181 scopus 로고
    • Pricing derivatives on financial securities subject to credit risk
    • R. A. Jarrow and S. M. Turnbull, Pricing derivatives on financial securities subject to credit risk, Journal of Finance 50 (1995) 53-85.
    • (1995) Journal of Finance , vol.50 , pp. 53-85
    • Jarrow, R.A.1    Turnbull, S.M.2
  • 22
    • 0038383048 scopus 로고    scopus 로고
    • First passage times of a jump diffusion process
    • S. G. Kou and H. Wang, First passage times of a jump diffusion process, Adv. in Appl. Probab. 35(2) (2003) 504-531.
    • (2003) Adv. in Appl. Probab. , vol.35 , Issue.2 , pp. 504-531
    • Kou, S.G.1    Wang, H.2
  • 23
    • 54649084049 scopus 로고    scopus 로고
    • On Cox processes and risky bonds
    • D. Lando, On Cox processes and risky bonds, Review of Derivatives Research 2 (1998) 99-120.
    • (1998) Review of Derivatives Research , vol.2 , pp. 99-120
    • Lando, D.1
  • 24
    • 4944250531 scopus 로고    scopus 로고
    • Option pricing by transform methods: Extensions, unification, and error control
    • R. Lee, Option pricing by transform methods: Extensions, unification, and error control, Journal of Computational Finance 7 (2004) 51-86.
    • (2004) Journal of Computational Finance , vol.7 , pp. 51-86
    • Lee, R.1
  • 25
    • 0039021357 scopus 로고    scopus 로고
    • Optimal capital structure, endogenous bankruptcy, and the term structure of credit spreads
    • H. E. Leland and K. B. Toft, Optimal capital structure, endogenous bankruptcy, and the term structure of credit spreads, J. Finan. 51 (1996) 987-1019.
    • (1996) J. Finan. , vol.51 , pp. 987-1019
    • Leland, H.E.1    Toft, K.B.2
  • 26
    • 0000903441 scopus 로고
    • The VG model for share market returns
    • D. Madan and E. Seneta, The VG model for share market returns, Journal of Business 63 (1990) 511-524.
    • (1990) Journal of Business , vol.63 , pp. 511-524
    • Madan, D.1    Seneta, E.2
  • 27
    • 0034419354 scopus 로고    scopus 로고
    • A two-factor hazard-rate model for pricing risky debt and the term structure of credit spreads
    • D. Madan and H. Unal, A two-factor hazard-rate model for pricing risky debt and the term structure of credit spreads, Journal of Financial and Quantitative Analysis 35(1) (2000) 43-65.
    • (2000) Journal of Financial and Quantitative Analysis , vol.35 , Issue.1 , pp. 43-65
    • Madan, D.1    Unal, H.2
  • 29
    • 0000808665 scopus 로고
    • On the pricing of corporate debt: The risk structure of interest rates
    • R. C. Merton, On the pricing of corporate debt: the risk structure of interest rates, J. Finance 29 (1974) 449-470.
    • (1974) J. Finance , vol.29 , pp. 449-470
    • Merton, R.C.1
  • 30
    • 59449093442 scopus 로고    scopus 로고
    • Pricing CDOs with correlated variance gamma distributions
    • T. Moosbrucker, Pricing CDOs with correlated Variance Gamma distributions.Working paper (2006), http://www.defaultrisk.com/pp crdrv103.htm.
    • (2006) Working Paper
    • Moosbrucker, T.1
  • 31
    • 75649084270 scopus 로고    scopus 로고
    • Pricing corporate bonds in an arbitrary jump-diffusion model based on an improved Brownian-bridge algorithm
    • at
    • J. Ruf and M. Scherer, Pricing corporate bonds in an arbitrary jump-diffusion model based on an improved Brownian-bridge algorithm. working paper (2006), at www.stat.columbia.edu/̃ruf/WP Ruf Scherer 2006.pdf.
    • (2006) Working Paper
    • Ruf, J.1    Scherer, M.2
  • 32
    • 0001290494 scopus 로고    scopus 로고
    • The term structure of credit spreads with jump risk
    • C. Zhou, The term structure of credit spreads with jump risk, J. Bus. and Finan. 25 (2001) 2015-2040.
    • (2001) J. Bus. and Finan. , vol.25 , pp. 2015-2040
    • Zhou, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.