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Portfolio duration of assets and liabilities.
Assets
Liabilities
A=$7,450
L= $6,550
E= $900
TA=$7,450
TL+ E= $7450
The average duration of assets is 5 years, while the average duration of liabilities is 1 year. The current interest rate is
Duration gap
DA= (600) +(500*2)+ (750*5)+ (1,000*10) / 2,850= 5.38 years
DL= (425) + (400) + (1*750) + (5*1950) /4,425- 900=3.21 years
DGAP= 5.38 - 2850/4425 *3.21 = 3.31 years
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