Question: Calculating and using duration gap State Banks balance sheet is listed below. Market yields and durations (in years) are in parenthesis, and amounts are in

Calculating and using duration gap

State Banks balance sheet is listed below. Market yields and durations (in years) are in parenthesis, and amounts are in millions.

Assets

Liabilities and equity

Cash

$20

Demand deposits

$250

Interbank lending (5.05%, 0.02)

150

Savings accounts (4.5%, 0.50)

360

T-notes (5.25%, 0.22)

300

CDs (4.3%, 0.48)

715

T-bonds (7.50%, 7.55)

200

CDs (6%, 4.45)

1105

Consumer loans (6%, 2.50)

900

Interbank borrowings (5%, 0.02)

515

Business loans (5.8%, 6.58)

475

Commercial paper (5.05%, 0.45)

400

Fixed-rate mortgages (7.85%, 19.50)

1200

Subordinated debt:Fixed-rate (7.25%, 6.65)

200

Variable-rate mortgages, repriced @ quarter (6.3%, 0.25)

580

Premises and equipment

120

Total liabilities

$3545

Equity

400

Total assets

$3945

Total liabilities and equity

$3945

a) What is State Banks duration gap?

b) Use these duration values to calculate the expected change in the value of the assets and liabilities of State Bank for the predicted increase of 1.5 per cent in interest rates.

c) What is the change in equity value forecasted from the duration values for the predicted increase in interest rates of 1.5 per cent?

Reference is needed for the formula. Can you please put the answer in the table where it needed? Thank you!

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