Suppose the First National Bank of Austin has $500.00 million in total assets with an average...

Suppose the First National Bank of Austin has $500.00 million in total assets with an average asset duration of five years. Assume that the bank’s liabilities are comprised of $86.75 million of demand deposits and $163.75 million in bonds with a 4.00% coupon rate (which pays annually) and a five year time-to-maturity. Further assume that current market interest rates are at 9.00% per annum. Show work.

(a.) Calculate the duration of the bank’s bonds.

(b.) What is this bank’s duration gap? Is the bank asset- or liability-sensitive?

(c.) If interest rates are expected to decrease to 8.00%, approximate the bank’s change in net worth in millions.

Expert Solution

Calculate the above subparts using excel as followS:

The values will appear as follows:

jeff jeffy answered 2 years ago

(2.)Suppose the First National Bank of Duluth has $500.00 million in total assets with an average...

(2.)Suppose the First National Bank of Duluth has $500.00 million in total assets with an average asset duration offive years. Assume that the bank’s liabilities are comprisedof $86.75 million of demand deposits and $163.75 million inbonds with a 4.00% coupon rate (which pays annually) and a fiveyear time-to-maturity. Further assume that currentmarket interest rates are at 9.00% per annum. (a.)(2 point) Calculate the duration of the bank’s bonds.

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Suppose the First National Bank of Austin has $500.00 million in total assets with an average...

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