
Explanation:
Because the institution matches the currency and maturity of the foreign assets and liabilities, the exchange-rate movement affects both sides similarly.
$100.0 million × 1.04 = $104.0 million$100.0 million × 1.03 = $103.0 million$1.0 millionInitial pound amount of the U.K. loan:
End-of-year value of the U.K. loan in pounds:
Convert at end-of-year spot rate $1.20/£:
Pound CD liability:
Convert at $1.20/£:
Net U.K. contribution = $3.0 million
Using beginning assets of $200.0 million:
C. +2.00%
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Q-502.2. Suppose that a U.S. financial institution has $200.0 million in assets at the start of the year. Half of its assets are invested domestically in US loans, while the other $100.0 million is invested abroad in the United Kingdom. The (default risk-free) US loans yield 4.0%, and the (default-free) loans in the United Kingdom, which denominated in pound sterlings, yield 10.0%:
| Assets (loans) | Liabilities (CDs) |
|---|---|
| Invest: | Lend: |
$100.0 US $ @ 4% | $100.0 US $ @ 3% |
$100.0 UK £ @ 10% | $100.0 UK £ @ 6% |
| (loans made in pounds) | (deposits made in pounds) |
This institution employs what Saunders calls an "on-balance sheet hedge;" it hedges by matching the maturity and currency of its foreign asset-liability book. The promised one-year U.S. CD rate is 3.0%, to be paid in dollars at the end of the year. The institution funds the British loans with $100.0 million equivalent one-year pound CDs at a rate of 6.0%. The exchange rate of dollars for pounds at the beginning of the year is $1.60/£1; i.e., GBPUSD is $1.60. At the end of the year, assume the pound sterling plummets (depreciates) against the dollar to $1.20. Which is nearest to the implied net interest margin? (Note: variation on Saunders' Question #16)
A
-3.75%
B
-0.84%
C
+2.00%
D
+3.33%