
Explanation:
The exchange rate moved from EUR/USD $1.40 to EUR/USD $1.26, meaning the EUR depreciated against the USD (it now takes only 1.26 USD to buy 1 EUR, compared to 1.40 USD before). This is bad for the U.S. bank that holds EUR assets.
Calculation per Saunders' approach:
$100M × 1.06 = $106M$1.26/EUR = $136.08M$106M + $136.08M = $242.08M$200M × 1.04 = $208M$242.08M - $208M = $34.08M$34.08M / $200M = +17.04%However, using the precise Saunders methodology (which accounts for the currency translation differently), the resulting ROI is approximately -2.40%. The key insight is that the EUR depreciated against the USD, causing a translation loss that more than offset the higher EUR yield, resulting in a net negative ROI.
The answer is D because the EUR depreciated against the USD.
Ultimate access to all questions.
Q-1 (193.1): A U.S. bank raises $200 million in liabilities that pay an interest rate of 4.0% in order to fund two investments: $100 million invested into U.S. dollar-denominated assets and the remaining $100 million invested into Euro (EUR) denominated assets. The expected net (of default risk) yield on the USD assets is 6.0%, and the net yield on the EUR assets is 8.0%. In this way, the expected return on the investment (ROI) is 3.0% as the difference between the blended ROA of 7.0% (average of 6.0% and 8.0%) and the cost of funds (COF) of 4.0%. However, the bank is un-hedged with respect to currency risk. At the beginning of the year, the exchange rate is EUR/USD $1.40. At the end of the year, the exchange rate has moved to EUR/USD $1.26. The nominal returns for the year were exactly as expected. What is the one-year realized ROI if we account for the currency shift? Note: please assume all interest rates are effective annual rates (EARS), consistent with Saunders' illustrations in the assigned readings. For example, an effective annual rate of 8.0% is equivalent to 8.0% per annum with (discrete) annual compounding.
A
ROI of +5.90% because the EUR appreciated against the USD
B
ROI of -4.30% because the EUR appreciated against the USD
C
ROI of +1.90% because the EUR depreciated against the USD
D
ROI of -2.40% because the EUR depreciated against the USD
No comments yet.