This paper examines an optimal strategy problem on consumption and portfolio.In this problem,we assume there are two assets to invest in for investors.One is risk-free asset(e.g.,bond),the other is risky asset((e.g.,stock).) Investor can choose the investing proportion of assets to maximize his expected lifetime utility.In most situations,the price of risky assets will jump when some important information come,so it is significant to study this problem.This paper discusses this case in which the jump range ...