a$)$ Which of the two portfolios provided the best risk$-$reward trade$-$off $($highest Share Ratio$)$ over the past $20$ years? $(2$ marks$)$

b$)$ You likely noticed that in several years where SPY does well IGE does not. Imagine that you invested $$1000$ in each of them at the beginning of $2002.$ Based on the return earned by each investment, in each year, calculate the value of your combined investments at each point in time. Did this $50/50$ investment allocation strategy offer a better trade$-$off than the best choice from part a$)?(4$ marks$)$