Abstract: In this paper,we use the method of competitive analysis to study a decision-making problem of online financial leasing.The previous research investigates the optimal investment strategies under the assumption that the purchasing price and the renting cost are constants.This paper studies the optimal investment strategies with the purchasing price and the renting cost that vary continuously in the bounded rangerespectively.We analyze competitive strategies without interest rate or with interest raterespectively,and obtain their upper and lower bounds.

Key words: online algorithm, online leasing, competitive analysis