The distinction between modified convexity and effective convexity is that:
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Effective convexity is the appropriate measure to use for bonds with embedded options because it takes into account the effect of the embedded options on the bond’s cash flows.
One major difference between standard convexity and effective convexity is:
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The calculation of effective convexity requires an adjustment in the estimated bond values to reflect any change in estimated cash flows due to the presence of embedded options. Note that this is the same process used to calculate effective duration.
Which of the following statements is most accurate concerning the differences between modified convexity and effective convexity?
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Effective convexity is most appropriate for bonds with embedded options because it takes into account changes in cash flows due to changes in yield, while modified convexity does not. For an option-free bond, modified convexity and effective convexity should be very nearly equal.
William Morgan, CFA, manages a fixed-income portfolio that contains several bonds with embedded options. Morgan would like to evaluate the sensitivity of his portfolio to large interest rate changes and will therefore use a convexity measure in addition to duration. The convexity measure that will best estimate the price sensitivity of Morgan’s portfolio is:
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Effective convexity is the appropriate measure because it takes into account changes in cash flows due to embedded options, while modified convexity does not.
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