题名

與物價指數連動之擔保債權憑證的評價模型

并列篇名

A Pricing Model of Inflation-indexed Collateralized Debt Obligations

DOI

10.6160/2013.03.05

作者

陳芬英(Fen-Ying Chen);彭星與(Hsing-Yu Peng)

关键词

物價指數連動的CDO ; 縮減式模型 ; 一般化CDO模型 ; 機率水桶法 ; 蒙地卡羅法 ; Inflation-indexed CDO ; Reduced form model ; General CDO model ; Probability Bucketing method ; Monte Carlo simulation

期刊名称

中山管理評論

卷期/出版年月

21卷1期(2013 / 03 / 01)

页次

165 - 197

内容语文

繁體中文

中文摘要

本文擴展Meneguzzo & Vecchiato(2002)模型,應用縮減式信用風險模型,首次提出與物價指數連動的擔保債權憑證(Collateralized Debt Obligations, CDO)模型。該模型,除了具備傳統CDO的特色之外,在物價不斷攀升之際,亦能保障分券投資人的實質收益。此外,當模型分券之通膨效果為零時,則本模型隨即變成傳統的CDO模型,所以本模型可視為傳統CDO的一般化(general form)模型。在蒙地卡羅法和機率水桶法之應用下,實證發現,與物價指數連動的CDO模型,其分券的信用價差皆高於無通膨效果之傳統CDO評價模型;物價指數波動度與各分券之信用價差呈同向變動。

英文摘要

This article extends the work by Meneguzzo & Vecchiato (2002) under a reduced form to first present an inflation-indexed CDO model. Besides the properties of traditional CDOs, the model can preserve investors' real profits in an inflation period. Also, the model can reduce to a traditional CDO model when the proportion of the inflation effects of the tranches in the model equals to zero. Thus our model can be regarded as a general one of the traditional CDO models. In empirical studies, using Monte Carlo simulation and Probability Bucketing method, it is found that the fair spread of the inflation-indexed model is higher than that of the traditional CDO model with no inflation effect. Also, the relationship between the fair spread and inflation volatility is positive.

主题分类 社會科學 > 管理學
参考文献
  1. Laurent, J. P. and Gregory, J., 2002, “Basket Default Swaps, CDO's and Factor Copulas.” Working paper, University of Lyon
  2. Peixoto, F. M., 2004, “Valuation of a Homogeneous Collateralized Debt Obligation.” Working paper, University of Waterloo
  3. Cifuentes, A. and O'Connor, G., 1996, “The Binomial Expansion Technique Applied to CBO/CLO Analysis.” Working paper, Universidad Adolfo Ibáñez
  4. Black, F.,Cox, J. C.(1976).Valuing Corporate Securities: Some Effects of Bond Indenture Provisions.Journal of Finance,31(2),351-367.
  5. Black, F.,Scholes, M.(1973).The Pricing of Options and Corporate Liabilities.Journal of Political Economy,81(3),637-654.
  6. Cathcart, L.,El-Jahel, L.(1998).Valuation of Defaultable Bonds.Journal of Fixed Income,8(1),65-78.
  7. Cox, J. C.,Ingersoll, J. E.,Ross, S. A.(1985).A Theory of the Term Structure of Interest Rates.Econometrica,53(2),385-407.
  8. Duffie, D. J.,Singleton, K. J.(1999).Modeling term structure of defaultable bonds.Review of Financial Studies,12(4),687-720.
  9. Geske, R.(1977).The Valuing of Corporate Liabilities as Compound Options.Journal of Financial and Quantitative analysis,12(4),541-552.
  10. Hinnerich, M.(2008).Inflation-indexed Swaps and Swaptions.Journal of Banking and Finance,32(11),2293-2306.
  11. Hull, J.,White, A.(2004).Valuation of a CDO and an n-th to Default CDS without Monte Carlo Simulation.Journal of Derivatives,12(2),8-23.
  12. Jarrow, R. A.,Lando, D.,Turnbull, S.(1997).A Markov Model for the Term Structure of Credit Risk Spreads.Review of Financial Studies,10(2),481-523.
  13. Jarrow, R.,Turnbull, S.(1995).Pricing derivatives on financial securities subject to credit risk.Journal of Finance,50(1),53-86.
  14. Lando, D.(1998).On Cox processes and Credit Risky Securities.Review of Derivatives Research,2(2-3),99-120.
  15. Li, D. X.(2000).On Default Correlation: a Copula Approach.Journal of Fixed Income,9(4),43-54.
  16. Longstaff, F.,Rajan, A.(2008).An Empirical Analysis of the Pricing of Collateralized Debt Obligations.The Journal of Finance,8(2),529-563.
  17. Longstaff, F.,Schwartz, E.(1995).A Simple Approach to Valuing Risky Fixed and Floating Rate Debt.Journal of Finance,50(3),789-819.
  18. Meneguzzo, D.,Vecchiato, W.(2002).Copula Sensitivity in Collateralized Debt Obligations and Basket Default Swaps.Journal of Futures Market,24(1),37-70.
  19. Mercurio, F.,Moreni, N.(2006).Inflation with a Smile.Risk,19(3),70-75.
  20. Mercurio, M.(2005).Pricing Inflation-indexed Derivatives.Quantitative Finance,5(3),289-302.
  21. Merton, R. C.(1974).On the Pricing of Corporate Debt: The Risk Structure of Interest Rates.Journal of Finance,29(2),449-470.
  22. Merton, R. C.(1973).Theory of Rational Option Pricing.Bell Journal of Economics and Management Science,4(1),141-183.
  23. Moraux, F.(2004).A Closed Form Solution for Pricing Defaultable Bonds.Finance Research Letters,1(2),135-142.
  24. Reiner, E.,Rubinstein, M.(1991).Breaking Down the Barriers.Risk,4(8),28-35.
  25. Vasicek, O.(1977).An Equilibrum Characterization of the Term Structure.Journal of Financial Economics,5(1),177-188.