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A SNOWBALL CURRENCY OPTION

  • Shim, Gyoo-Cheol (GRADUATE DEPARTMENT OF FINANCIAL ENGINEERING, AJOU UNIVERSITY)
  • Received : 2011.03.10
  • Accepted : 2011.03.13
  • Published : 2011.03.25

Abstract

I introduce a derivative called "Snowball Currency Option" or "USDKRWSnowball Extendible At Expiry KO" which was traded once in the over-the-counter market in Korea. A snowball currency option consists of a series of maturities the payoffs at which are like those of a long position in a put option and two short position in an otherwise identical call. The strike price at each maturity depends on the exchange rate and the previous strike price so that the strike prices are random and path-dependent, which makes it difficult to find a closed form solution of the value of a snowball currency option. I analyze the payoff structure of a snowball currency option and derive an upper and a lower boundaries of the value of it in a simplified model. Furthermore, I derive a pricing formula using integral in the simplified model.

Acknowledgement

Supported by : National Research Foundation of Korea

References

  1. M.B. Garman and S.W. Kohlhagen, Foreign Currency Option Values, Journal of International Money and Finance, 2 (1983), 231-237. https://doi.org/10.1016/S0261-5606(83)80001-1
  2. B. Han, Introducing Consumer Contractship into KIKO Contracts, The Korean Association Of Comparative Private Law, 50 (2010), 361-403.
  3. J.C. Hull, Options, Futures, and Other Derivatives, Pearson Education, Prentice Hall, New Jersey, 2006.
  4. J. Kim, Interest Rate Models and Pricing of KIKO Options, A Master's Thesis (Feb. 2010), Department of Business Administration in Ajou University.
  5. R.L. McDonald, Derivatives Markets, Pearson Education, Addison Wesley, Boston, 2006.
  6. R.C. Merton, Theory of Rational Option Pricing, Bell Journal of Economics and Management Science, 4 (1973), 141-183. https://doi.org/10.2307/3003143