The Valuation of Options on Futures Contracts

  • Author(s): KRISHNA RAMASWAMY, SURESH M. SUNDARESAN
  • Published: Apr 30, 2012
  • Pages: 1319-1340
  • DOI: 10.1111/j.1540-6261.1985.tb02385.x

ABSTRACT

Rational restrictions are derived for the values of American options on futures contracts. For these options, the optimal policy, in general, involves premature exercise. A model is developed for valuing options on futures contracts in a constant interest rate setting. Despite the fact that premature exercise may be optimal, the value of this American feature appears to be small and a European formula due to Black serves as a useful approximation. Finally, a model is developed to value these options in a world with stochastic interest rates. It is shown that the pricing errors caused by ignoring the location of the interest rate (relative to its long‐run mean) range from −5% to 7%, when the current rate is ±200 basis points from its long‐run value. The role of interest rate expectations is, therefore, crucial to the valuation. Optimal exercise policies are found from numerical methods for both models.

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