We clarify the causal structure of an inflating magnetic monopole. The
spacetime diagram shows explicitly that this model is free from ``graceful
exit'' problem, while the monopole itself undergoes ``eternal inflation''. We
also discuss general nature of inflationary spacetimes.Comment: 6 pages (text), revtex, 5 ps figures separate, to appear in Phys Rev
D, Fig 3 and discussions are modifie
