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Intertemporal choices, such as when choosing between rewards that are smaller but delivered sooner and those that are larger but delivered later, are influenced by the way in which time is framed. For instance, framing a reward in terms of deferring its arrival shifts preferences to the smaller-sooner option, whereas framing it in terms of speeding up its arrival shifts preferences to the larger-later option (defer-speedup effect). Similarly, framing the time of reward delivery as a calendar date shifts preferences to the larger-later option (date-delay effect). A mechanistic understanding of these framing effects is currently lacking, but could help the development of better decison-making models and more effective behavioral interventions. Here, we investigate the cognitive mechanisms underlying the defer-speedup and date-delay effecs in intertemporal choice, using computational modeling of choices and response times. For each framing effect, we test three hypotheses: (1) framing alters how outcomes are valued, (2) framing alters how times are perceived, and (3) framing alters both how outcomes are valued and how times are perceived. These hypotheses are implemented as parameterizations of the value and time functions of the computational model, respectively. In this preregistration, we report how we determined our sample size, all data exclusion criteria, all manipulations, and all measures in the study. Also, we describe the task, procedure, and modeling approach. [Data management plan: https://doi.org/10.6084/m9.figshare.4720978; Intertemporal choice task: https://github.com/bramzandbelt/itch_time_framing_task; Computational model: https://github.com/bramzandbelt/itchmodel]