Suppose that XTel currently is selling at $$50$ per share. You buy $800$ shares using $$30,000$ of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is $7\%.$

Required:

a$.$ What is the percentage increase in the net worth of your brokerage account if the price of XTel immediately changes to $($i$)$ $$56$; $($ii$)$ $$50$; $($ii$)$ $$44?($Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Negative values should be indicated by a minus sign. Round your answers to $2$ decimal places.$)$

b$.$ If the maintenance margin is $25\%,$ how low can XTel$$s price fall before you get a margin call? $($Round your answer to $2$ decimal places.$)$

c$.$ How would your answer to requirement b would change if you had financed the initial purchase with only $$20,000$ of your own money? $($Round your answer to $2$ decimal places.$)$

d$.$ What is the rate of return on your margined position $($assuming again that you invest $$30,000$ of your own money$)$ if XTel is selling after one year at $($i$)$ $$56$; $($ii$)$ $$50$; $($iii$)$ $$44?($Negative values should be indicated by a minus sign. Round your answers to $2$ decimal places.$)$

e$.$ Continue to assume that a year has passed. How low can XTel$$s price fall before you get a margin call? Note: Assume maintenance margin of $25\%($Round your answer to $2$ decimal places.$)$