Which would have a longer duration: (a) a five-year fully amortized installment loan with semiannual payments or (b) a five-year semiannual payment bond, ceteris paribus. Why?
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Duration: It is the time period for which the bond is alive.
It gives an estimate of the life of the bond i.e effective average maturity of the bond.
In simple terms, it's the time period to recover the price of the bond.
When compared to Semi-Annual Bond, A Fully Amortized loan with periodically repay the principal amount.
Hence it will have a lower duration.
Conclusion:
Semi-Annual Bond: Higher duration.
Fully Amortized loan, lower duration.
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