Modified Duration = Macaulay Duration / (1 + YTM) = 4.49 / (1 + 0.0281) = 4.37
Dollar Change in Price = [-Duration * Change in Yield * Current Bond Price] + [Convexity * (Change in Yield)2 * Current Bond Price]
= [-4.37 * (0.0207 - 0.0281) * $6,000] + [56.88 * (0.0207 - 0.0281)2 * $6,000]
= $193.91 + $18.69 = $212.60
Question 1 3 pts A bond with face value = 6,000 currently trades at par. Its...
Question 1 3 pts A bond with face value = 9,000 currently trades at par. Its Macaulay duration is 5.21 years and its convexity is 55.05. Suppose yield currently is 3.88%, and is expected to change to 2.12%. Calculate the approximate dollar change in price using both duration and convexity. Assume annual compounding. Round your answer to 2 decimal places.
A bond with face value = 9,000 currently trades at par. Its Macaulay duration is 5.32 years and its convexity is 56.02. Suppose yield currently is 2.74%, and is expected to change to 2.01%. Calculate the approximate dollar change in price using both duration and convexity. Assume annual compounding. Round your answer to 2 decimal places.
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