Futures Options and the Volatility of Futures Prices
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- Author(s): CLIFFORD A. BALL, WALTER N. TOROUS
- Published: Apr 30, 2012
- Pages: 857-870
- DOI: 10.1111/j.1540-6261.1986.tb04553.x
Assuming nonstochastic interest rates, European futures options are shown to be European options written on a particular asset referred to as a futures bond. Consequently, standard option pricing results may be invoked and standard option pricing techniques may be employed in the case of European futures options. Additional arbitrage restrictions on American futures options are derived. The efficiency of a number of futures option markets is examined. Assuming that at‐the‐money American futures options are priced accurately by Black's European futures option pricing model, the relationship between market participants' ex ante assessment of futures price volatility and the term to maturity of the underlying futures contract is also investigated empirically.