Compute price (P), sensitivity (d P / d y), convexity (d^{2} P / d y^{2}) of (2

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Compute price \(P\), sensitivity \(d P / d y\), convexity \(d^{2} P / d y^{2}\) of \(2 \mathrm{y}, 5 \mathrm{y}\), \(10 \mathrm{y}, 30 \mathrm{y}, 100 \mathrm{y}\) bonds, all with a semiannual coupon rate of \(4 \%\) per annum when

(a) \(\mathrm{y}=4 \%\)

(b) \(y=1 \%\)

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