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Sargent Bank has $1,153 in assets and $807 in liabilities (i.e., deposits). The duration of the...

Sargent Bank has $1,153 in assets and $807 in liabilities (i.e., deposits). The duration of the bank's assets is 4.9 years and the duration of the bank's liabilities is 5.2 years. What is the duration of the equity of Canes bank? Give the answer in years, with two decimals.

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Answer #1

Duration of Equity = [(Duration of Assets * Assets) - (Duration of Liability * Liability)] / Equity

= [(4.9 * $1,153) - (5.2 * $807)] / [$1,153 - $807]

= [$5,649.70 - $4,196.40] / $346

= $1,453.30 / $346 = 4.20 years

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