Suppose a U$.$S$.$ investor wishes to invest in a British firm currently selling for $30$ per share. The investor has $$6,000$ to

invest, and the current exchange rate is $$2$ per $.$ Consider three possible prices per share at $26,31,$ and $36$ after $1$

year. Also, consider three possible exchange rates at $$1\mathrm{.}60$ per $,$$$2$ per $,$ and $$2\mathrm{.}40$ per $$ after $1$ year. Calculate the

standard deviation of both the pound$-$ and dollar$-$denominated rates of return if each of the nine outcomes $($three possible

prices per share in pounds times three possible exchange rates$)$ is equally likely.

Note: Do not round intermediate calculations. Round your answers to $2$ decimal places.Suppose a U$.$S$.$ investor wishes to invest in a British firm currently selling for $30$ per share. The investor has $$6,000$ to invest, and the current exchange rate is $$2$ per $.$ Consider three possible prices per share at $26,31,$ and $36$ after $1$ year. Also, consider three possible exchange rates at $$1\mathrm{.}60$ per $,$ $$2$ per $,$ and $$2\mathrm{.}40$ per $$ after $1$ year. Calculate the standard deviation of both the pound$-$ and dollar$-$denominated rates of return if each of the nine outcomes $($three possible prices per share in pounds times three possible exchange rates$)$ is equally likely.