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題名 考慮信用風險之可轉債評價:股價遵循CEV過程
Pricing convertible bonds with credit risk under CEV process
作者 羅紹玫
貢獻者 陳威光
羅紹玫
關鍵詞 可轉債
CEV過程
信用風險
日期 2009
上傳時間 8-Dec-2010 01:56:51 (UTC+8)
摘要 In order to construct a model to price convertible bonds, a hybrid security with complicated provisions, this study concentrates on the way of depicting the equity and the default process. The Constant Elasticity of Variance model (CEV model) which modifies the assumption of constant volatility to capture the negative relationship between the stock price and the variance is applied. The default process integrates the information from both equity and debt market by setting the default intensity model to endogenize the default process into the pricing model.
     The tree structure is built by a manner of variable transformation. After considering all information and deciding whether the provisions to be executed on each node, then the value of convertible bond could be calculated in a backward-induction fashion. Two trading convertible bonds are chosen to examine the practicality of this model and the empirical result shows that this model fit the market value well. The sensitivity analysis suggests that the coefficient of leverage effect does affect the value of convertible bond in an inverse direction and other parameters are not significantly sensitive to the value of convertible bond.
參考文獻 1. Ayache, E., P.A. Forsyth, and K.R. Vetzal (2003). “Valuation of Convertible Bonds with Credit Risk”, Journal of Derivatives, 11, 1, 9–29.
2. Beckers, S. (1980). “The constant elasticity of variance model and its implications for option pricing”, Journal of Finance, 35, 661–673.
3. Brennan, M. J. and E.S. Schwartz (1977). "Convertible Bonds: Valuation and Optimal Strategies for Call and Conversion", Journal of Finance, 32, 1699–1715.
4. Brennan, M. J. and E.S. Schwartz (1980). "Analyzing Convertible Securities", Journal of Financial and Quantitative Analysis, XV, 4, 907–929.
5. Brigham, E. F. (1966). “An Analysis of Convertible Debentures: Theory and Some Empirical Evidence”, Journal of Finance, 21, 35–54.
6. Carayannopoulos, P. and M. Kalimipalli (2003). “Convertible Bonds and Pricing Biases", Journal of Fixed Income, 13, 3, 64–73.
7. Chamber, D. and Q. Lu (2007). “A Tree Model for Pricing Convertible Bond with Equity, Interest Rate, and Default Risk”, Journal of Derivatives, 14, 4, 25–46.
8. Cox, J. (1975) “Notes on option pricing I: constant elasticity of variance diffusions”, Working Paper, Stanford University.
9. Das S.R., and R.K. Sundaram (2007). “An Integrated Model for Hybrid Securities”, Management Science, 53, 1439–1451.
10. Derman, E. (1994). “Valuing Convertible Bonds as Derivatives”, Technical report, Goldman Sachs.
11. Hung, M.W. and J.Y. Wang (2002). “Pricing Convertible Bond Subject to Default Risk”, Journal of Derivatives, 10, 2, 75–87.
12. Ingersoll, J. (1977). “An Examination of Corporate Call Policies on Convertible Securities”, Journal of Finance, 32, 463– 478.
13. Kang, JK., and Yul W. Lee (1996). “The Pricing of Convertible Debt Offerings”, Journal of Financial Economics, 41, 2, 231–248.
14. Liu, C.H. (2009). “Valuation of Convertible Bonds with Credit Risk”, National Cheng Chi University, Dep. of Money and Banking, Master Thesis.
15. McConnell J. J. and E. S. Schwartz (1986). “LYON Taming”, Journal of Finance, 41, 561–576.
16. Nelson, D. and K. Ramaswamy (1990). “Simple Binomial Processes as Diffusion Approximations in Financial Models,” The Review of Financial Studies, 3, 3, 393-430.
17. Nyborg, K. G. (1996). “The Use and Pricing of Convertible Bonds”, Applied Mathematical Finance, 3, 167–190.
18. Schmalensee R. and R. R. Trippi (1978). “Common stock volatility expectations implied by option premia.” Journal of Finance, 33, 129–147.
19. Tsiveriotis, K. and C. Fernandes (1998). “Valuing Convertible Bonds with Credit Risk”, Journal of Fixed Income, 8, 3, 95–102.
描述 碩士
國立政治大學
金融研究所
97352006
98
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0097352006
資料類型 thesis
dc.contributor.advisor 陳威光zh_TW
dc.contributor.author (Authors) 羅紹玫zh_TW
dc.creator (作者) 羅紹玫zh_TW
dc.date (日期) 2009en_US
dc.date.accessioned 8-Dec-2010 01:56:51 (UTC+8)-
dc.date.available 8-Dec-2010 01:56:51 (UTC+8)-
dc.date.issued (上傳時間) 8-Dec-2010 01:56:51 (UTC+8)-
dc.identifier (Other Identifiers) G0097352006en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/49005-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 金融研究所zh_TW
dc.description (描述) 97352006zh_TW
dc.description (描述) 98zh_TW
dc.description.abstract (摘要) In order to construct a model to price convertible bonds, a hybrid security with complicated provisions, this study concentrates on the way of depicting the equity and the default process. The Constant Elasticity of Variance model (CEV model) which modifies the assumption of constant volatility to capture the negative relationship between the stock price and the variance is applied. The default process integrates the information from both equity and debt market by setting the default intensity model to endogenize the default process into the pricing model.
     The tree structure is built by a manner of variable transformation. After considering all information and deciding whether the provisions to be executed on each node, then the value of convertible bond could be calculated in a backward-induction fashion. Two trading convertible bonds are chosen to examine the practicality of this model and the empirical result shows that this model fit the market value well. The sensitivity analysis suggests that the coefficient of leverage effect does affect the value of convertible bond in an inverse direction and other parameters are not significantly sensitive to the value of convertible bond.
en_US
dc.description.tableofcontents 1. Introduction 5
     2. Literature Review 7
     3. Methodology 12
     3.1 The Equity Model 12
     3.2 The Default Process 15
     3.3 Parameter Settings 17
     3.4 Valuation 19
     4. Empirical Study 21
     4.1 Convertible Bond Issued by Evergreen Marine Corp. 21
     4.2 Convertible Bond issued by Parker Drilling Corp. 26
     5. Conclusion and Suggestion 30
     5.1 Conclusion 30
     5.2 Suggestion 31
     References 33
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0097352006en_US
dc.subject (關鍵詞) 可轉債zh_TW
dc.subject (關鍵詞) CEV過程zh_TW
dc.subject (關鍵詞) 信用風險zh_TW
dc.title (題名) 考慮信用風險之可轉債評價:股價遵循CEV過程zh_TW
dc.title (題名) Pricing convertible bonds with credit risk under CEV processen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 1. Ayache, E., P.A. Forsyth, and K.R. Vetzal (2003). “Valuation of Convertible Bonds with Credit Risk”, Journal of Derivatives, 11, 1, 9–29.zh_TW
dc.relation.reference (參考文獻) 2. Beckers, S. (1980). “The constant elasticity of variance model and its implications for option pricing”, Journal of Finance, 35, 661–673.zh_TW
dc.relation.reference (參考文獻) 3. Brennan, M. J. and E.S. Schwartz (1977). "Convertible Bonds: Valuation and Optimal Strategies for Call and Conversion", Journal of Finance, 32, 1699–1715.zh_TW
dc.relation.reference (參考文獻) 4. Brennan, M. J. and E.S. Schwartz (1980). "Analyzing Convertible Securities", Journal of Financial and Quantitative Analysis, XV, 4, 907–929.zh_TW
dc.relation.reference (參考文獻) 5. Brigham, E. F. (1966). “An Analysis of Convertible Debentures: Theory and Some Empirical Evidence”, Journal of Finance, 21, 35–54.zh_TW
dc.relation.reference (參考文獻) 6. Carayannopoulos, P. and M. Kalimipalli (2003). “Convertible Bonds and Pricing Biases", Journal of Fixed Income, 13, 3, 64–73.zh_TW
dc.relation.reference (參考文獻) 7. Chamber, D. and Q. Lu (2007). “A Tree Model for Pricing Convertible Bond with Equity, Interest Rate, and Default Risk”, Journal of Derivatives, 14, 4, 25–46.zh_TW
dc.relation.reference (參考文獻) 8. Cox, J. (1975) “Notes on option pricing I: constant elasticity of variance diffusions”, Working Paper, Stanford University.zh_TW
dc.relation.reference (參考文獻) 9. Das S.R., and R.K. Sundaram (2007). “An Integrated Model for Hybrid Securities”, Management Science, 53, 1439–1451.zh_TW
dc.relation.reference (參考文獻) 10. Derman, E. (1994). “Valuing Convertible Bonds as Derivatives”, Technical report, Goldman Sachs.zh_TW
dc.relation.reference (參考文獻) 11. Hung, M.W. and J.Y. Wang (2002). “Pricing Convertible Bond Subject to Default Risk”, Journal of Derivatives, 10, 2, 75–87.zh_TW
dc.relation.reference (參考文獻) 12. Ingersoll, J. (1977). “An Examination of Corporate Call Policies on Convertible Securities”, Journal of Finance, 32, 463– 478.zh_TW
dc.relation.reference (參考文獻) 13. Kang, JK., and Yul W. Lee (1996). “The Pricing of Convertible Debt Offerings”, Journal of Financial Economics, 41, 2, 231–248.zh_TW
dc.relation.reference (參考文獻) 14. Liu, C.H. (2009). “Valuation of Convertible Bonds with Credit Risk”, National Cheng Chi University, Dep. of Money and Banking, Master Thesis.zh_TW
dc.relation.reference (參考文獻) 15. McConnell J. J. and E. S. Schwartz (1986). “LYON Taming”, Journal of Finance, 41, 561–576.zh_TW
dc.relation.reference (參考文獻) 16. Nelson, D. and K. Ramaswamy (1990). “Simple Binomial Processes as Diffusion Approximations in Financial Models,” The Review of Financial Studies, 3, 3, 393-430.zh_TW
dc.relation.reference (參考文獻) 17. Nyborg, K. G. (1996). “The Use and Pricing of Convertible Bonds”, Applied Mathematical Finance, 3, 167–190.zh_TW
dc.relation.reference (參考文獻) 18. Schmalensee R. and R. R. Trippi (1978). “Common stock volatility expectations implied by option premia.” Journal of Finance, 33, 129–147.zh_TW
dc.relation.reference (參考文獻) 19. Tsiveriotis, K. and C. Fernandes (1998). “Valuing Convertible Bonds with Credit Risk”, Journal of Fixed Income, 8, 3, 95–102.zh_TW