To study intertemporal choices, researchers typically instruct subjects to choose between smaller and sooner (SS) and larger and later (LL) rewards (e.g., gaining CNY 210 in a week vs. gaining CNY 250 in five weeks). People generally tend to discount steeply and prefer SS to LL rewards in such situations. Jiang, Hu and Zhu (2014) recently showed that adding upfront losses or gains to both SS and LL rewards can reduce people’s discounting, and they provided several possible accounts for this effect, including the salience account and the time scale hypothesis. In the current paper, based on the upfront money effect found in Jiang et al. (2014), we further showed that the effect of discounting decreasing could be extended to adding dated-money between SS and LL rewards and after LL rewards. The results helped us exclude both the time scale hypothesis and another possible explanation: preference for improvement. We hypothesized that all the current findings (recorded in this paper and in Jiang et al.) could be accommodated well using the salience account.