$14.$ An Ito process is fitted to a stock using a regression and the estimate is:

$$dt $+$dz $=0\mathrm{.}05$ dt $+0\mathrm{.}10$ dz where the drift and standard deviation are expressed on an annual basis, that is $=5\%$ p$.$a$.$ If the stock is currently trading for $$10,$ then in $6-$months time, your best guess of the stock price if you trust this process fitting is:

A$)$ $$9\mathrm{.}51$

B$)$ $$10$

C$)$ $$10\mathrm{.}25$

D$)$ $$10\mathrm{.}50$

E$)$ $$11$