Find the duration of the following pure discount bonds: a. $1000 face value bond maturing in one

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Find the duration of the following pure discount bonds:

a. $1000 face value bond maturing in one year currently selling for $900.

b. $1000 face value bond maturing in two years currently selling for $800. 

c. $2000 face value bond maturing in three years currently selling for $1400 

d. Portfolio consisting of one of each of the three bonds listed in parts a, b, and c of this problem

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