Triple-leveraged ETFs

Underlying unlevered ETF demonstrated the following path over a four day period:

Day 0 1 2 3 4

Price 100 110 100 90 100

Assuming risk-free rate of interest of zero for both lending and borrowing.

b.You are managing a 3X leverage ETF that targets 3 times the daily return of the underlying index. If the starting with a price of 100, what is the daily position in the un-levered ETF and cash?

Day. 0 1 2 3 4

Position

in unlevered 300 __ __ __ __

ETF.

Position in cash -200 __ __ __ __

Day. 0 1 2 3 4

Rebal Trade in ETF ___ ____ ___ ___ ___

Change in Cash ___ ___ ___ ___ ___

fill in blanks and please explai how you get the answers