Actually, NASA is planning a Saturn V-sized launch vehicle, under the name "SLS" ("Space Launch System"). SLS Block II is supposed to match the Saturn V's capacity, but it won't launch until the 2020s.
(There are also rumors of very large rockets in advanced planning at SpaceX, but the only possible component of that program that has yet been announced is a methane-fueled staged combustion rocket engine, "Raptor" --- and they only announced that when they started reserving time for component tests at NASA facilities. So, even if those rumors are true, it's likely to be a while before they're confirmed in any detail.)
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Actually, NASA is planning a Saturn V-sized launch vehicle, under the name "SLS" ("Space Launch System"). SLS Block II is supposed to match the Saturn V's capacity, but it won't launch until the 2020s.
(There are also rumors of very large rockets in advanced planning at SpaceX, but the only possible component of that program that has yet been announced is a methane-fueled staged combustion rocket engine, "Raptor" --- and they only announced that when they started reserving time for component tests at NASA facilities. So, even if those rumors are true, it's likely to be a while before they're confirmed in any detail.)