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A 10-year sold-at-par German bonds yield to maturity (YTM) is near zero . According to the WSJ calculation, at a yield (i.e., YTM) of 0.09%,
A 10-year sold-at-par German bonds yield to maturity (YTM) is near zero. According to the WSJ calculation, at a yield (i.e., YTM) of 0.09%, more than 11 years worth of income would be wiped out if the 10-year bond drops in price by just one point (i.e., 1%). Yields wouldnt even have to rise that much: a move one point lower (in price) equates to only a 0.1-percentage-point rise in the yield, to 0.19%. For simplicity, assume that the German government bond is paying annual coupons.
- What is the Macaulay duration of the bond approximately (Note: No calculation needed. Please simply explain your rationale to estimate the Macaulay duration)? What about its modified duration approximately? Please explain.
- Assume that this bonds convexity is 320. If the yield increases by 50 basis points (0.5%), how much is the percentage bond price change based on linear rule with convexity adjustment?
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