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The following is an FI's balance sheet ($millions). Assets Amount Duration Liabilities Amount Duration Cash $1 0 years Dem. Deposits $100 0 years FF&RP 20

The following is an FI's balance sheet ($millions).

Assets

Amount

Duration

Liabilities

Amount

Duration

Cash

$1

0 years

Dem. Deposits

$100

0 years

FF&RP

20

0.01 years

FF&RP

50

0.01 years

Munis

50

x

CDs

90

1.0 years

Loans

200

y

Net Worth

31

Notes to Balance Sheet. Munis are 2-year 6 percent annual coupon municipal notes selling at par. Loans are floating rates, repriced quarterly. Spot discount yields for 91-day Treasury bills are 3.75 percent. CDs are 1-year pure discount certificates of deposit paying 4.75 percent.

a. What is the duration of the municipal notes (the value of x)?

b. What is this bank's interest rate risk exposure, if any?

c. What will be the impact, if any, on the market value of the bank's equity if all interest rates increase by 75 basis points? (i.e., DR/(1 + R) = 0.0075) .

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