No abstract

Derivative warrants typically have higher prices than do otherwise identical options. Using data from the Hong Kong market during 2002–2007, we show that the price difference reflects the liquidity premium of derivative warrants over options. Newly issued derivative warrants are much more liquid than options with similar terms. As a result, long-term derivative warrants are preferred by traders who trade frequently. In spite of their higher prices, short-term returns on long-term derivative warrants are, in fact, higher than the hypothetical short-term returns on options. The differences in price and liquidity measures decline as the contracts get closer to maturity.

In this paper, we investigate the methodological issue of determining the number of state variables required for options pricing. After showing the inadequacy of the principal component analysis approach, which is commonly used in the literature, we adopt a nonparametric regression technique with nonlinear principal components extracted from the implied volatilities of various moneyness and maturities as proxies for the transformed state variables. The methodology is applied to the prices of S& P 500 index options from the period 1996-2005. We find that, in addition to the index value itself, two state variables, approximated by the first two nonlinear principal components, are adequate for pricing the index options and fitting the data in both time series and cross sections.options pricing, state variables, nonparametric method, nonlinear principal component analysis