Risk of Options — Impact of Volatility Parameter

  • Krzysztof Jajuga
  • Katarzyna Kuziak
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 76)


A derivative instrument is a financial instrument whose value depends on the value on the underlying index, for example on the price of another financial instrument (e.g. currency, stock). Derivative instruments gained a lot of attention of financial theoreticians and practitioners in the last decade. The main reason is the increasing risk both on the financial markets and in the whole economy. On the one hand, the derivative instruments proved to be very useful instruments in risk management. This refers to the following types of risk:
  • market risk (interest rate risk, exchange rate risk, stock price risk, commodity price risk);

  • credit risk;

  • enterprise-wide risk;

  • weather risk;

  • insurance (catastrophe) risk.


Risk Measure Option Price Market Risk Financial Instrument Geometric Brownian Motion 
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  1. Black F., Scholes M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy. 81. pp. 637–654.CrossRefGoogle Scholar
  2. Hindy A. (1995). Elements of quantitative risk management. w: Beaver W.H. Parker G.. Risk management. problems and solutions. pp. 107–138. McGraw-Hill. New York.Google Scholar
  3. Hull J.C. (2000). Options. futures and other derivatives. Prentice Hall. Upper Saddle River.Google Scholar
  4. Jorion P. (1997). Value at Risk. Irwin. Chicago.Google Scholar
  5. Merton R.C. (1973). Theory of rational option pricing. Bell Journal of Economics and Management Science. 4. pp. 141–183.CrossRefGoogle Scholar

Copyright information

© Physica-Verlag Heidelberg 2001

Authors and Affiliations

  • Krzysztof Jajuga
    • 1
  • Katarzyna Kuziak
    • 1
  1. 1.Department of Financial Investments and InsuranceWrocław University of EconomicsWrocławPoland

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