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Harper has an income of 100 units in period 1 and 200 units in period 2. Lily has an income of 200 units in period 1 and 100 units in period 2. Both can borrow or save at the interest rate r>0, and both have discount factor
\beta= \frac{1}{1+r}.
This is the same two-period consumption problem studied in class; no change in the setup is intended.
Which of the following statements is correct?