Security $\backslash ($ P $\backslash )$ is a perpetuity, and Security $\backslash ($ Z $\backslash )$ is a zero coupon bond that has $15$ years remaining until maturity. Both securities have a yield of $\backslash (5\backslash \%\backslash ).$ The duration of Security F

is shorter than the duration of Security $\backslash ($ Z $\backslash )$

is longer than the duration of Security $\backslash ($ Z $\backslash )$

is the same as the duration of Security $\backslash ($ Z $\backslash )$

cannot be defined as perpetuities have no maturity