
Explanation:
With an on-balance-sheet hedge, the EUR asset is matched by a EUR liability, so the FX movement does not create an additional open currency loss on that matched position.
Compute the spread in each currency:
USD position:
$100 million = $2.0 millionEUR position:
$5.04 millionTotal profit is therefore about:
Relative to the initial USD-equivalent funding base of about $240 million, the ROI is approximately:
This is closest to 2.80%, so the correct choice is C.
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Question 193.2. Assume the same bank as in the previous question: the bank invests USD $100 million in assets to yield 6.0% and EUR 100 million to yield 8.0%. However, in this case, the bank employs an on-balance-sheet hedge. Consequently, it borrows USD $100 million, paying 4.0%, and borrows EUR 100 million, also paying 4.0%. This on-balance-sheet hedge matches the EUR 100 million invested abroad by funding with EUR 100 million. At the beginning of the year, the exchange rate is EUR/USD $1.40, which moves to EUR/USD $1.26 by the end of the year. What is the bank's ROI given it has employed this on-balance-sheet hedge?
A
ROI -0.40% (losses contained)
B
ROI about zero (per the hedge)
C
ROI +2.80%
D
ROI +4.56%