The goal of this paper is to compare for the first time the DI future option pricing throught the HJM model with one factor and constant volatility, in the special case format of Ho-Lee, with the option reference premium released by BMandFBovespa, which uses the Black model nowadays. From October 2009 until April 2011 was studied the four main type 2 option series (which the underlying future expires six months after the option expiration date) were analysed, collecting option reference premium data, in weekly basis, for all strikes released by BMandFBovespa in a nine month period prior to the option expiration date. Even though it was verified few results statistically significant, it was possible to infer that not only the BM&FBovespa overprices the options but also there is a negative relation with moneyness between the pricing of the models.