
Explanation:
Leverage Adjusted Duration Gap
= Dollar-weighted duration of Assets Portfolio – Dollar-weighted Duration of Liability Portfolio
×
Millennial National Bank’s duration gap is:
$2.53 - 0.65 \times \frac{219}{367} = +2.14$ years
The change in net worth:
Change in value of net worth =
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Q.4235 Suppose that Millennial National bank consists of an average asset duration of 2.53 years and an average liability duration of 0.65 years. Its assets size is a total of $367 million, and the volume of its liabilities is $219 million. Suppose that its original interest rates were 5% before rising to 8.5%. Compute Millennial National Bank’s estimated leverage adjusted the duration gap and the change in its net worth as a result of the rise in interest rates.
A
+1.34 years, -$10.34 million
B
+2.14 years, -D10$12.56 million
C
+1.34 years, -$13.10 million
D
+2.14 years, -$26.21 million