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Which of the following bonds has the highest convexity?Question 5Select one:a.A 12%, 15-year coupon bondb.A 12%, 5-year coupon bondc.A 6%, 15-year coupon bondd.A 6%, 5-year coupon bond

Question

Which of the following bonds has the highest convexity?Question 5Select one:a.A 12%, 15-year coupon bondb.A 12%, 5-year coupon bondc.A 6%, 15-year coupon bondd.A 6%, 5-year coupon bond

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Solution

Convexity is a measure of the curvature in the relationship between bond prices and bond yields. Convexity demonstrates how the duration of a bond changes as the interest rate changes.

Bonds with longer maturities and lower coupon rates will have higher convexity.

This is because bonds with longer maturities have a greater duration which increases their sensitivity to interest rate changes. Similarly, bonds with lower coupon rates also have a greater duration because a smaller proportion of the bond's total return is generated by the coupon payments.

Therefore, among the options given, the bond with the highest convexity would be:

c. A 6%, 15-year coupon bond.

This problem has been solved

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