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On the Use of Numeraires in Option pricing

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Author Info
Benninga, Simon () (Faculty of Management, Tel Aviv University)
Björk, Tomas () (Dept. of Finance, Stockholm School of Economics)
Wiener, Zvi () (School of Business, Hebrew University of Jerusalem)

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Abstract

In this paper we discuss the significant computational simplification that occurs when option pricing is approached through the change of numeraire technique. The original impetus was a recently published paper (Hoang, Powell, Shi 1999) on endowment options; in the present paper we extend these results to the case of stochastic interest rates. We also discuss four additional option pricing problems within the framework of a change of numeraire:

1. Pricing savings plans which incorporate a choice of linkage.

2. Pricing convertible bonds.

3. Pricing employee stock ownership plans

4. Pricing options where the strike price is in a currency different from the stock price.

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Publisher Info
Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 484.

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Length: 25 pages
Date of creation: 03 Jan 2002
Date of revision:
Publication status: Published in Journal of Derivatives, 2002, pages 43-58.
Handle: RePEc:hhs:hastef:0484

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Related research
Keywords: Numeraire; option; convertible bond;

Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Jamshidian, Farshid, 1989. " An Exact Bond Option Formula," Journal of Finance, American Finance Association, vol. 44(1), pages 205-09, March. [Downloadable!] (restricted)
  2. Brennan, M J & Schwartz, Eduardo S, 1977. "Convertible Bonds: Valuation and Optimal Strategies for Call and Conversion," Journal of Finance, American Finance Association, vol. 32(5), pages 1699-1715, December. [Downloadable!] (restricted)
  3. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-86, March. [Downloadable!] (restricted)
  4. Chip Heath & Steven Huddart & Mark Lang, 1999. "Psychological Factors And Stock Option Exercise," The Quarterly Journal of Economics, MIT Press, vol. 114(2), pages 601-627, May. [Downloadable!] (restricted)
  5. Huddart, Steven, 1994. "Employee stock options," Journal of Accounting and Economics, Elsevier, vol. 18(2), pages 207-231, September. [Downloadable!] (restricted)
  6. Brenner, Menachem & Galai, Dan, 1978. "The determinants of the return on index bonds," Journal of Banking & Finance, Elsevier, vol. 2(1), pages 47-64, June. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Peter Carr & Liuren Wu, 2002. "Time-Changed Levy Processes and Option Pricing," Finance 0207011, EconWPA. [Downloadable!]
    Other versions:
  2. Yoram Landskroner & Alon Raviv, 2004. "The Valuation of Inflation-Indexed and FX Convertible Bonds," Finance 0401005, EconWPA. [Downloadable!]
  3. Massoud Heidari & Liuren WU, 2002. "Are Interest Rate Derivatives Spanned by the Term Structure of Interest Rates?," Finance 0207013, EconWPA. [Downloadable!]
Statistics
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