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Triple-leveraged ETFs
Underlying unlevered ETF demonstrated the following path over a four day period:
Day
0
1
2
3
4
Price
100
110
90
Assuming risk-free rate of interest of zero for both lending and borrowing.
a. 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 price?
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?
Position in unlevered ETF
300
Position in cash
-200
Rebal Trade in ETF
Change in Cash
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