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Digital Security Tokens and Their Derivatives

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  • Kanta Matsuura

Abstract

Applied cryptography and network security could bring a new commerce architecture for valuable but uncertain digital objects in an open network. This paper models the digital objects as security token, which is abbreviated into a word coinage setok. Each setok has its price, values, and timestamp on it as well as the main contents. Not only the price but also the values can be uncertain and may cause risks. A number of properties of the setok are defined. They include value response to compromise, price response to compromise, refundability, tradability, online divisibility, and offline divisibility. Then, in search of risk-hedging tools, a derivative written not on the price but on the value is introduced. The derivative investigated is a simple European call option. Based on the common no-arbitrage condition, several option-pricing formulae are derived in discrete-time and continuous-time models. These formulae do not require any divisibility of the underlying setok. With respect to applications, an inverse estimation of compromise probability is studied. Assuming a systematic risk of compromise, the no-arbitrage theory gives a partial differential equation (PDE) to price the call option; given a set of parameters including the compromise probability, the PDE can tell us the option price. By making an inverse use of this, we are able to estimate the risk of compromise.

Suggested Citation

  • Kanta Matsuura, 2001. "Digital Security Tokens and Their Derivatives," Computing in Economics and Finance 2001 51, Society for Computational Economics.
  • Handle: RePEc:sce:scecf1:51
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    References listed on IDEAS

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    1. Lettau, Martin, 1997. "Explaining the facts with adaptive agents: The case of mutual fund flows," Journal of Economic Dynamics and Control, Elsevier, vol. 21(7), pages 1117-1147, June.
    2. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    3. Plott, Charles R & Sunder, Shyam, 1982. "Efficiency of Experimental Security Markets with Insider Information: An Application of Rational-Expectations Models," Journal of Political Economy, University of Chicago Press, vol. 90(4), pages 663-698, August.
    4. Gode, Dhananjay K & Sunder, Shyam, 1993. "Allocative Efficiency of Markets with Zero-Intelligence Traders: Market as a Partial Substitute for Individual Rationality," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 119-137, February.
    5. Sanford Grossman, 1978. "Further results on the informational efficiency of competitive stock markets," Special Studies Papers 114, Board of Governors of the Federal Reserve System (U.S.).
    6. Luo, Guo Ying, 1998. "Market Efficiency and Natural Selection in a Commodity Futures Market," Review of Financial Studies, Society for Financial Studies, vol. 11(3), pages 647-674.
    7. Antoni Bosch-Domenech & Shyam Sunder, 2000. "Tracking the Invisible Hand: Convergence of Double Auctions to Competitive Equilibrium," Computational Economics, Springer;Society for Computational Economics, vol. 16(3), pages 257-284, December.
    8. Forsythe, Robert & Palfrey, Thomas R & Plott, Charles R, 1982. "Asset Valuation in an Experimental Market," Econometrica, Econometric Society, vol. 50(3), pages 537-567, May.
    9. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    10. Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
    11. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 675-689.
    12. Grossman, Sanford, 1978. "Further results on the informational efficiency of competitive stock markets," Journal of Economic Theory, Elsevier, vol. 18(1), pages 81-101, June.
    13. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
    14. Luo Guo Ying, 1995. "Evolution and Market Competition," Journal of Economic Theory, Elsevier, vol. 67(1), pages 223-250, October.
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    More about this item

    Keywords

    network pricing; uncertainty; option theory;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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