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Shadow costs of incomplete information and short sales in the valuation of the firm and its assets

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  • Bellalah, Mondher

Abstract

This paper presents a simple framework for the valuation of compound options within shadow costs of incomplete information and short sales. The shadow cost includes two components. The first component is the product of pure information cost due to imperfect knowledge and heterogeneous expectations. The second component represents the additional cost caused by the short-selling constraint. Information costs are linked to Merton's (1987. Journal of Finance 42, 510) model of capital market equilibrium with incomplete information, CAPMI. This model is extended by Wu et al. (1996. Review of Quantitative Finance and Accounting, 7, 136) who propose an incomplete-information capital market equilibrium with heterogeneous expectations and short sale restrictions, GCAPM. This model is used in our paper to provide for the first time in the literature analytic solutions for derivatives in the presence of both shadow costs of incomplete information and short sales.

Suggested Citation

  • Bellalah, Mondher, 2016. "Shadow costs of incomplete information and short sales in the valuation of the firm and its assets," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 406-419.
  • Handle: RePEc:eee:ecofin:v:37:y:2016:i:c:p:406-419
    DOI: 10.1016/j.najef.2016.02.001
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    References listed on IDEAS

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    1. Beltratti, Andrea, 2005. "Capital market equilibrium with externalities, production and heterogeneous agents," Journal of Banking & Finance, Elsevier, vol. 29(12), pages 3061-3073, December.
    2. J. Michael Harrison & Stanley R. Pliska, 1981. "Martingales and Stochastic Integrals in the Theory of Continous Trading," Discussion Papers 454, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Mondher Bellalah, 1999. "Valuation of futures and commodity options with information costs," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(6), pages 645-664, September.
    4. Merton, Robert C, 1998. "Applications of Option-Pricing Theory: Twenty-Five Years Later," American Economic Review, American Economic Association, vol. 88(3), pages 323-349, June.
    5. Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2013. "Entropy and the Value of Information for Investors," American Economic Review, American Economic Association, vol. 103(1), pages 360-377, February.
    6. Merton H. Miller, 1989. "The Modigliani‐Miller Propositions After Thirty Years," Journal of Applied Corporate Finance, Morgan Stanley, vol. 2(1), pages 6-18, March.
    7. Alessandro Beber & Marco Pagano, 2013. "Short-Selling Bans Around the World: Evidence from the 2007–09 Crisis," Journal of Finance, American Finance Association, vol. 68(1), pages 343-381, February.
    8. Mondher Bellalah & Zhen Wu, 2009. "A simple model of corporate international investment under incomplete information and taxes," Annals of Operations Research, Springer, vol. 165(1), pages 123-143, January.
    9. Bartosz Mackowiak & Mirko Wiederholt, 2012. "Information Processing and Limited Liability," American Economic Review, American Economic Association, vol. 102(3), pages 30-34, May.
    10. Stijn Van Nieuwerburgh & Laura Veldkamp, 2009. "Information Immobility and the Home Bias Puzzle," Journal of Finance, American Finance Association, vol. 64(3), pages 1187-1215, June.
    11. Stijn Van Nieuwerburgh & Laura Veldkamp, 2010. "Information Acquisition and Under-Diversification," Review of Economic Studies, Oxford University Press, vol. 77(2), pages 779-805.
    12. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    13. Wu, Chunchi & Li, Qiang & Weii, K C John, 1996. "Incomplete-Information Capital Market Equilibrium with Heterogeneous Expectations and Short Sale Restrictions," Review of Quantitative Finance and Accounting, Springer, vol. 7(2), pages 119-136, September.
    14. Arturo Bris & William N. Goetzmann & Ning Zhu, 2007. "Efficiency and the Bear: Short Sales and Markets Around the World," Journal of Finance, American Finance Association, vol. 62(3), pages 1029-1079, June.
    15. Fabio Verona, 2014. "Investment Dynamics with Information Costs," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(8), pages 1627-1656, December.
    16. Ekkehart Boehmer & Juan (Julie) Wu, 2013. "Short Selling and the Price Discovery Process," Review of Financial Studies, Society for Financial Studies, vol. 26(2), pages 287-322.
    17. Merton, Robert C, 1987. "A Simple Model of Capital Market Equilibrium with Incomplete Information," Journal of Finance, American Finance Association, vol. 42(3), pages 483-510, July.
    18. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    19. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    20. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    21. Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2013. "Entropy and the Value of Information for Investors," American Economic Review, American Economic Association, vol. 103(1), pages 360-377, February.
    22. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    23. Cao, H Henry, 1999. "The Effect of Derivative Assets on Information Acquisition and Price Behavior in a Rational Expectations Equilibrium," Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 131-163.
    24. Robert Battalio & Paul Schultz, 2011. "Regulatory Uncertainty and Market Liquidity: The 2008 Short Sale Ban's Impact on Equity Option Markets," Journal of Finance, American Finance Association, vol. 66(6), pages 2013-2053, December.
    25. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
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    More about this item

    Keywords

    Valuation of the firm; Options; Arbitrage; Pricing; Information costs; Short sales costs;

    JEL classification:

    • G3 - Financial Economics - - Corporate Finance and Governance
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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