For a (T)-year zero-coupon bond with continuously compounded yield (y), compute (a) Its modified duration, (1 /

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For a \(T\)-year zero-coupon bond with continuously compounded yield \(y\), compute

(a) Its modified duration, \(1 / P \times d P / d y\)

(b) Its convexity, \(d^{2} P / d y^{2}\)

(c) The price, modified duration, and convexity of a 5 -year zero-coupon bond with continuously compounded yield of \(5 \%\).

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