Question

Consider the following balance sheet (in millions) for an FI: Assets Duration = 13 years $ 970 Liabilities Duration = 5 years

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Answer #1

Solution:

a. Duration gap is calculated using the formula:-

DGAP = DA-DL

DGAP = 13 - (900/970) (5)

DGAP = 8.36 years

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b. Since FI is exposed to increase interest rates. If the interest rates increase, the market value of equity will decrease.

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c. The FI can hedge the interest rate risk by selling future or forward contracts.

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d. Change in equity value = -DGAP X AX AR/(1+R)

Change in equity value = -8.36 x 900,0000 x 0.02

Change in equity value = -150,480

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