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Fixed-income instrument pricing.

ilya, gikhman (2006): Fixed-income instrument pricing. Unpublished.

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Abstract

In this article we discuss the fundamentals of pricing of the popular financial instruments. The basic point of our approach is to extend the present value benchmark concept. The present value valuation approach plays the similar role as The Newton Laws in the Classic Mechanics. Thus our primary goal is to present a new outlook on valuation of the debt securities and its derivatives. We also, demonstrate why the present value is not a complete method of pricing either securities or derivatives. Then, as illustration we present a valuation of the floating rate, callable and convertible bonds. Next we discuss major drawbacks of the risk neutral interpretation of the derivatives pricing. At the end of the article we discuss interest rate swap and derivative valuation of some classes of the fixed income securities.

Item Type:MPRA Paper
Language:English
Keywords:Bond; coupon bond; present value; floating rate bond; convertible; callable bond; interest rate swap; options valuation; risk neutral probabilities; interest rate derivatives
Subjects:G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing; Trading volume; Bond Interest Rates
ID Code:1449
Deposited By:Ilya Gikhman
Deposited On:14. Jan 2007
Last Modified:28. Jul 2011 15:56
References:

1. Brownlee , K.A. (1960). Statistical Theory and Methodology in Science and Engineering. John Wiley & Sons, Inc. 2. Gikhman , Il.I.(2004). On Black-Scholes Equation. ICFAI J.of Applied Finance v.10, No.4, p.47-74. 3. Gikhman, Il.I.(2005). 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 4. Gikhman, Il.I.(2006). http://papers.ssrn.com/sol3/papers.cfm?abstract_id=895679. 5. Gikhman, Il.I.(2006). http://papers.ssrn.com/sol3/papers.cfm?abstract_id=900111. 6. Gikhman, Il.I.(2006). http://papers.ssrn.com/sol3/papers.cfm?abstract_id=918873. 7. Hull, J. (2003). Options, Futures, and other Derivatives, Prentice Hall, Englewood Cliffs, NJ. 8. Hull, J. , White, A. (2005). The Perfect Copula. 9. Jarrow, R. , Turnbull, S. (2000). Derivatives Securities, 2nd ed, South-Western College Publishing. 10. Merton, R.C. (1974). On the pricing of corporate debt: The risk structure of interest rates. Journal of Finance 29, 449-470. 11. Vasicek, O.A. (1987). Probability of loss on loan portfolio, KMV Corporation. 12. Vasicek, O.A. (1991). Limiting Loan Loss Distribution, KMV Corporation. 13. Vasicek, O.A. (2002). The distribution of loan portfolio value. Risk. 14. Basel Committee on Banking Supervision, International Convergence of Capital Measurements and Capital Standard: A Revised Framework, (2004).

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