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An 6% annual coupon bond with (face value = 6,000) currently trades at par. Its Macaulay duration is 3.67 in years and its convexity is

An 6% annual coupon bond with (face value = 6,000) currently trades at par. Its Macaulay duration is 3.67 in years and its convexity is 66.21 in years.

Suppose yield goes from 4.14% to 2.25% one day. Calculate the approximate dollar change in price using both duration and convexity.

Assume annual compounding. Round your answer to 2 decimal places. If your answer is a price decline, then include the negative sign in your answer.

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