Exam 8: Managing Interest Rate Risk: Duration Gap and Economic Value of Equity

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Use the following bank information for questions . Market Value Rate Duration (Years) Liabilities and Equity Market Value Rate Duration (Years) Cash \ 150 Time Deposits \ 500 4\% 1.25 Loans \ 675 10\% 2.50 CDs \ 400 6\% 3.00 T-Bonds \1 75 5\% 5.00 Equity \1 00 Total \1 ,000 \1 ,000 -What is the weighted average duration of liabilities?

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A

A 30-year zero coupon bond with a face value of $5,000 is currently selling for $1,156.88 and has a market rate of interest of 5%. Using the bond's modified duration, what is the approximate change in the price of the bond if interest rates fall to 4.25%?

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B

A bond has a Macaulay's duration of 26.56 years. If rates rise from 6.25% to 6.50%, the bonds price will:

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B

Use the following bank information for questions . Market Value Rate Duration (Years) Liabilities and Equity Market Value Rate Duration (Years) Cash \ 150 Time Deposits \ 500 4\% 1.25 Loans \ 675 10\% 2.50 CDs \ 400 6\% 3.00 T-Bonds \1 75 5\% 5.00 Equity \1 00 Total \1 ,000 \1 ,000 -What is the weighted average duration of assets?

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To perfectly immunize a bank's economic value of equity from changes in interest rate risk, it should:

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What does a bank's duration gap measure?

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A bond has a Macaulay's duration of 10.7 years. If rates fall from 7% to 6%, the bonds price will:

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Why is it difficult to estimate the duration of demand deposits?

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Which of the following will not affect a bank's duration estimate for the year?

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What are the strengths and weaknesses of duration gap analysis?

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If the yield curve is inverted, a portfolio manager can take advantage of this by:

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Use the following bank information for questions . Market Value Rate Duration (Years) Liabilities and Equity Market Value Rate Duration (Years) Cash \ 200 Time Deposits \ 600 2.0\% 1.500 Loans \ 800 8.0\% 3.750 CDs \ 500 4.5\% 3.125 T-Bonds \2 50 4.0\% 7.250 Equity \1 50 Total \1 ,250 \1 ,250 -What is the bank's duration gap?

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Which of the following is true regarding duration gap analysis?

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Effective duration:

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A bank with a duration gap of 1 is more sensitive to changes in the economic value of equity than a bank with a duration gap of -1.5.

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Duration gap analysis:

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Macaulay's duration:

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A 20-year zero coupon bond with a face value of $1,000 is currently selling for $214.55 and has a market rate of interest of 8%. Using the bond's modified duration, what is the approximate change in the price of the bond if interest rates rise to 9%?

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An asset that is rate-sensitive is generally not price sensitive.

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An investor that matches the duration of an investment with her holding period balances price risk and reinvestment risk.

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