Asked by Hannah Jones on Mar 10, 2024

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All other things equal (YTM = 10%) , which of the following has the longest duration?

A) a 30-year bond with a 10% coupon
B) a 20-year bond with a 9% coupon
C) a 20-year bond with a 7% coupon
D) a 10-year zero-coupon bond

Zero-Coupon Bond

A debt security that does not pay interest but is traded at a deep discount, providing profit at maturity when it is redeemed for its face value.

Duration

A measure of the sensitivity of the price of a bond or other debt instrument to changes in interest rates, representing the weighted average time to receive the bond's cash flows.

Coupon

A voucher entitling the holder to a discount for a particular product or service.

  • Measure and appreciate the duration of several types of bonds and their groupings.
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DL
dajuan littleMar 10, 2024
Final Answer :
A
Explanation :
Duration is a measure of a bond's sensitivity to changes in interest rates. Longer-term bonds have a greater duration than shorter-term bonds. Among the given choices, the longest-term bond is the 30-year bond, which implies that it will have the longest duration.