Modified Duration in Semi-Annual periods converted to Annual

Why is it that to convert a Semi-Annual Modified Duration to an Annual one, we divide by 2 instead of multiplying by 2? Surely it doesn’t imply that the bond price will move more in half a year than in one full year when interest rates shift?

Solved Calculate the duration and modified duration for the

Effective Annual Rate, Formula, Calculations & Examples - Lesson

FRM Fun 11. Do we really need all three durations? let's settle this now!, Forum

Modified Duration: Key to Understanding Bond Price Fluctuations

Modified Duration in Semi-Annual periods converted to Annual Periods? - Fixed Income - AnalystForum

Modified Duration vs: Macaulay Duration: Key Differences - FasterCapital

Modified Duration Formula Calculator (Example with Excel Template)

Duration - Definition, Finance, Types, Formulas

What is the nominal rate which if converted quarterly could be used instead of 8% compounded semi-annually? - Quora

Convexity Formula Examples with Excel Template

Macaulay Duration: Definition, Formula, Example, and How It Works