The price of a share is \(\$ 40\). If \(\mu=0.1\) and \(\sigma^{2}=0.16\) per year, find a \(95 \%\) confidence interval for the price of the share after six months (i.e. an interval \(I_{0.95}=(\underline{S}, \bar{S})\) so that \(\left.p\left(S \in I_{0.95}\right)=0.95\right)\). Hint: use that if \(Z\) is a stochastic variable with standard normal distribution, then \(p(-1.96 \leq Z \leq 1.96) \simeq\) 0.95).