ما معنى Duration, DV01, convexity؟

With flows $a_k$ at times $t_k$ (in periods) and $v = 1/(1 + y/f)$, the Macaulay duration is the present-value weighted average time of the flows, $D = \frac{1}{f P}\sum_k t_k a_k v^{t_k}$, in years. The modified duration is $D_{\mathrm{mod}} = -\frac1P \frac{dP}{dy} = D/(1 + y/f)$. The DV01 is the fall in price for a one-basis-point rise in yield, $P\,D_{\mathrm{mod}} \times 10^{-4}$ per 100, usually quoted per million of face. The convexity is $\mathcal C = \frac1P \frac{d^2P}{dy^2}$.