The purpose of this stud is to explore the holding return distribution model for short-term discount bonds. Return distributions are very important in forcasting expected returns and in building valuation models. Utilizing log-normal distribution characteristics, we study the single period holding return distributions for commercial papers and bankers' acceptances. It is found that (1) the bounded distribution model (BDM) fits better than the unbounded distribution model (UDM), (2) BDM is persistent, and (3) the upper bound can be estimated by an approximation method under a modified BDM. This is useful for further analysis of return distributions with different types of bonds of with different holding periods.