$24.$ Suppose that XTel currently is selling at $$40$ per share. You buy $500$ shares usir $$15,000$ of your own money, borrowing the remainder of the purchase price from yo broker. The rate on the margin loan is $8\%.($LO $3-4)$

a$.$ What is the percentage increase in the net worth of your brokerage account if the pric of XTel immediately changes to $($i$)$ $$44$; $($ii$)$ $$40$; $($iii$)$ $$36?$ What is the relationship betwee your percentage return and the percentage change in the price of XTel?

b$.$ If the maintenance margin is $25\%,$ how low can XTel's price fall before you get a margi call?

c$.$ How would your answer to $($b$)$ change if you had financed the initial purchase with only $$10,000$ of your own money?

d$.$ What is the rate of return on your margined position assuming again that you invest $$15,000$ of your own money$)$ if XTel is selling after one year at $($i$)$ $$44$; $($ii$)$ $$40$; $($iii$)$ $$36?$

What is the relationship between your percentage return and the percentage change in the price of XTel? Assume that XTel pays no dividends.

e$.$ Continue to assume that a year has passed. How low can XTel's price fall before you get a margin call?