Reference no: EM13827762

Problem:

Assets	Amount	Rate	Duration
Cash	$75 million
Loans	$750 million	12 percent	1.75 years
Treasuries	$175 million	9 percent	7.00 years
Liabilities and Equity
Time Deposits	$350 million	7 percent	1.75 years
CDs	$575 million	8 percent	2.50 years
Equity	$75 million

1. Calculate the duration of the assets.

a. 2.54 years.
b. 4.375 years.
c. 1.75 years.
d. 3.08 years.
e. 2.50 years.

2. Calculate the duration of the liabilities.

a. 2.05 years.
b. 1.75 years.
c. 2.22 years.
d. 2.125 years.
e. 2.50 years.

3. Calculate the leverage-adjusted duration gap and state the FI's interest rate risk exposure.

a. +1.03 years; exposed to interest rate increases.
b. +0.32 years; exposed to interest rate increases.
c. +0.86 years; exposed to interest rate increases.
d. +0.49 years; exposed to interest rate increases.
e. -1.32 years; exposed to interest rate decreases.

4. If all interest rates decline 90 basis points (DR/(1+R) = -90 basis points), what is the change in the market value of equity?

a. -$4.430 million.
b. +$3.925 million.
c. +$4.378 million.
d. +$2.550 million.
e. +$0.022 million.

Additional Information:

These short questions is from Finance and the questions deal with computation of duration of assets and liabilities and leverage adjusted duration gap and bank's interest rate risk exposure. The computations have been given in the solution comprehensively.