This paper expands and tests the approach of Madan and Milne (1994) for pricing contingent claims as elements of a separable Hilbert space. We specialize the Hilbert space basis to the family of Hermite polynomials and use the model to price options on Eurodollar futures. Restrictions on the...

Asset allocation has primarily focused its attention on attaining mean variance efficiency by employing diversification strategies following the portfolio selection methodologies of Markowitz[1952]. These are important principles that have given rise to a large variety of diversified investment...

The payoffs of exotic options (e.g., up‐and‐out call options) are dependent on the time‐path of asset prices rather than the price of the asset at a fixed point in time. The authors of this article compare various models for calibrating volatility surfaces in order to price up‐and‐out...