Corporate debt pricing I.

Ilya, Gikhman (2007): Corporate debt pricing I.

Abstract

In this article we discuss fundamentals of the debt securities pricing. We begin with a generalization of the present value concept. Though the present value is the base valuation method in the modern finance we will illustrate that this concept does not sufficiently accurate in producing instrument pricing. The incompleteness of the unique present value approach stems from variability of the interest rates. Admitting variability of the interest rates we define two present values one for buyer other for seller. Therefore future buyer and seller cash payments can be described by the correspondent present values. Usually used assumption that future interest on investment over a specified time period would be the same as before specified period is a theoretical simplification that might be admitted or not. Admitting such assumption leads to eliminating an important component of the market risk. Recall that the assumption that a future payment can be invested with the same constant interest rate equal to the one used in the past is a component of the group conditions that specify frictionless of the market. We use this new concept that splits present value within two counterparties to outline details of the new valuation method of the fixed income securities. The primary goal of this paper is a credit derivative pricing method of the risky debt instruments. First we introduce a formal definition of the default. It somewhat close but does not coincide with the reduced form of the default setting.

• Item Type: MPRA Paper
• Institution: Independent Research
• Language: English
• Keywords: default; risky bond; reduced form model; credit risk
• Subjects: G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing ; Futures Pricing; G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates

References

1. J. Hull, A. White Valuing Credit Default Swap I: No Counterparty Default Risk, The Journal of Derivatives 8, No.1, Fall, 29-40. 2. On Black-Scholes Equation. Journal of Applied Finance, ICFAI, v.10, No.4, 2004, p.47-74. 3a. I. Gikhman, Option Valuation, http://papers.ssrn.com/sol3/papers.cfm?abstract_id=900111, 2006. 3b) Drawbacks in Options Definition, http://papers.ssrn.com/sol3/papers.cfm?abstract_id=895679, 2006. 3c) On Black-Scholes Equation. ICFAI J.of Applied Finance, v.10, No.4, April 2004, p.47-74. 3d) Some basic remarks on options valuation. Actes de la 3Хme Conférence Internationale de Finance - IFC 3, Formalisation et Modélisation, Hors Série N°3, IFC3 - 3-5 March, 2005, Hammamet, Tunisia, p.121-136. 3e) On Some Remarks on Derivatives Valuations, http://papers.ssrn.com/sol3/papers.cfm?abstract_id=918873, 2006. 3f) Fixed-Income Instruments Pricing. http://papers.ssrn.com/sol3/papers.cfm?abstract_id=958838, 2007 4. R. Jarrow and S. Turnbull (1992) “Pricing Options on Financial Securities Subject to Default Risk”. Working Paper, Graduate School of Management, Cornell University. 5. R. Jarrow and S. Turnbull (1995) “Pricing Options on Financial Securities Subject to Credit Risk”. Journal of Finance 50, 53-85. 6. The Lehman Brothers Guide to Exotic Credit Derivatives (2003). 7. D. O’Kane , Saurav Sen “Credit Spreads Explained”. Lehman Brothers. Quantitative Credit Research Quarterly (15 March 2004). 8. Berd, Mashal, Wang “Defining, estimating and using Credit Term Structure 1”, 2004.