Information-time based futures pricing

This study follows Clark [P.K. Clark, A subordinated stochastic process model with finite variance for speculative prices, Econometrica 41 (1973) 135-155] and Chang, Chang and Lim [C.W. Chang, S.K. Chang, K.G. Lim, Information-time option pricing: Theory and empirical evidence, Journal of Financial Economics 48 (1998) 211-242] to subordinate an information-time based directing process into calendar-time based parent processes. A closed-form futures pricing formula is derived after taking into account the information-time setting and the stochasticity of the spot price, interest rate, and convenience yield. According to the empirical results on the TAIEX and TFETX data from 1998/7/21 to 2003/12/31, the information-time based model performs better than its calendar-time based counterpart and the cost of carry model, especially when the information arrival intensity estimates become larger.