Suppose a U$.$S$.$ investor wishes to invest in a British firm currently selling for $40$ per share. The investor has $$20,000$ to invest, and the current exchange rate is $$\frac{2}{}.$

Required:

a$.$ How many shares can the investor purchase? $($Round your answer to the nearest whole number.$)$

Number of shares

b$.$ Fill in the table below for dollar$-$denominated rates of return after one year in each of the nine scenarios $($three possible share prices denominated in pounds times three possible exchange rates$).($Round your percentage answers to $2$ decimal places. Negative amounts should be indicated by a minus sign.$)$