Convexity correction sign

Using duration alone to estimate a bond's price after a large yield move - does it overestimate or underestimate the true price, and why?

Show hints (2)+
  1. Duration is a linear (tangent-line) approximation.
  2. A convex curve lies above its tangent.

Answer

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Underestimates; the price-yield curve is convex, so convexity adds a positive correction

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