$2.$Given the following two investments, use a graph to illustrate the impact of leverage on an investor$$s gains and losses $($ignoring borrowing costs for simplicity$).$

a$.$Grace invests $5,000$ of her savings in the shares of a high$-$tech company. She buys the shares when they cost $50$ per share, and so owns $100$ shares. What is the value of Grace$$s investment if the shares increase in value to $55$ per share or fall in value to $45$ per share? What is Grace$$s percentage gain or loss?

b$.$Jack has $1,000$ in savings but also wishes to buy $100$ shares in the same high$-$tech company. He borrows $4,000$ and buys $100$ shares at $50$ per share. What is Jack$$s percentage gain or loss if the share price increase to $55$ or falls to $45$ per share?