P1
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Given the following data:
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German Bond
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U.S. T- Bonds
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Maturity
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25
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30
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Coupon Rate
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4.88%
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4.50%
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YTM
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3.10%
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2.80%
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Face Value
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$ 1,000.00
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$ 1,000.00
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Coupon payment
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Annually
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Semi-Annually
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a
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Compute the price of each bond.
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b
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Compute the duration and modified duration of each bond
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c
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Suppose the yield levels increase by 1%. Calculate the relative price change for each bond.
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Estimate the relative price change for each bond using duration. Comment on the accuracy of the estimation.
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P2
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An investor buys a French government, 10-year bond, paying annual coupon of 4.5%. Face value = 1000.
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The investor is unsure of his investment horizon and considers 5 horizons: 5, 6, 7, 8, and 9 years.
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Suppose that immediately after the investor has bought the bond, the interest rate changes.
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Compute the investor's annual return for each of the 5 horizons for two scenarios: the yield increases by 1% and the yield decreases by 1%.
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Put differently, complete the following table:
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Annual Return
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Horizon (years)
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YTM = 5.5%
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YTM = 3.5%
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5
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6
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7
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8
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9
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P3
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Given the data for the following bonds
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Bond
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Coupon
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Maturity
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YTM
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Face Value
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1
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0
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1
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4%
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1000
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2
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4.50%
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2
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6%
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1000
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3
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6%
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2
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1000
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Assume all bonds pay annual coupon.
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a
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Compute the price of the 3rd bond.
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b
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Calculate the YTM of the 3rd bond.
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