  In this paper, a quantum model for the binomial market in finance is
proposed. We show that its risk-neutral world exhibits an intriguing structure
as a disk in the unit ball of ${\bf R}^3,$ whose radius is a function of the
risk-free interest rate with two thresholds which prevent arbitrage
opportunities from this quantum market. Furthermore, from the quantum
mechanical point of view we re-deduce the Cox-Ross-Rubinstein binomial option
pricing formula by considering Maxwell-Boltzmann statistics of the system of
$N$ distinguishable particles.
