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hello my previous two videos in this playlist Illustrated consecutively three different durations which are different in definition but not so different in substance thatamp;#39;s the effective duration the Macaulay duration and the modified duration but Iamp;#39;m following Bruce Tuckman chapter four so I used his examples with the sort of messing numbers so this video as quickly as possible I just wanted to compare each of the three durations so weamp;#39;re clear on the difference using my simple example with round inputs of a three-year bond so my simple example is a three year bond thatamp;#39;s a bond with three years to maturity you can see the term is three years here face value 100 my coupon rate selected as an input here in yellow is four percent per annum but payable semi-annually so every six months thereamp;#39;s a two dollar coupon because thatamp;#39;s half of 4% times 100 then also selected here as an input is the yield thatamp;#39;s yield to maturity of 5% per a