Carbon Cub pilot reported accepting a short approach clearance while another aircraft was on final; which resulted in the need to take evasive action to avoid a NMAC.

Narrative

I was downwind to land ZZZ XXR and following a C-150. There were two other aircraft ahead so I was number four in the landing sequence. Tower asked if I could accept an early base and I accepted as I had done many times before. I was cleared to land XXR and believed I was now number one.On the base to final turn which was over the airport I became aware of a PA-28 at about 7 o'clock low and over the runway. Very soon after that tower instructed the PA-28 to go around and offset right. I still had the PA-28 in sight and believed he could climb into me so I initiated a go-around. The much faster PA-28 passed lower and to my left.After landing I reviewed the event in ADS-B replay and then called Tower to discuss. Tower Manager offered to review the tapes; discuss with the Controller; and call me back.Next day the Manager called back. His assessment agreed with mine. The Controller had misjudged the speed of the approaching PA-28 and regretted giving me the short approach long landing clearance. We agreed that short approach long landing was sometimes helpful to me and to Tower but that it was not appropriate in this case.Had I been aware of the position and speed of the PA-28 I would not have accepted the early base; short approach; long landing clearance. When cleared for a long landing on XXR I always land after Taxiway1 and exit at Taxiway 2. There is 4;000 ft between threshold and Taxiway 1 which allows Tower to land other aircraft even if I am still on the runway.