You purchase $1,200$ shares of AMZN at $$141\mathrm{.}60$ per share on margin. You borrow $$84,960$ from your broker at an annual interest rate of $9\mathrm{.}25\%.$ The maintenance margin on the brokerage account is $35\%.$

$1.(0\mathrm{.}50$ points$)$ What is the initial margin in your brokerage account? Round to the nearest $0\mathrm{.}01\%.$

$2.(0\mathrm{.}50$ points$)$ If the share price increases to $$151\mathrm{.}00$ per share after $1$ year, what is the margin in the account after $1$ year? Round to the nearest $0\mathrm{.}01\%.$

$3.(1$ point$)$ What is the rate of return on the trader$$s margin investment if the share price increases to $$151\mathrm{.}00$ per share after $1$ year? Round to the nearest $0\mathrm{.}01\%.$

$4.(1$ point$)$ What is the rate of return $($or$,$ percent change$)$ of AMZN$$s common stock if after $1$ year the share price increases to $$151\mathrm{.}00$ from $$141\mathrm{.}60?$

$5.(1$ point$)$ What price per share does AMZN$$s common stock have to decrease to for the trader to receive a margin call? Round to the nearest $0\mathrm{.}01.$

$6.(1$ point$)$ Explain why the rate of return computed in Question $9$ is different than the rate of return computed in Question $10.$

$7.(1$ point$)$ List at least one advantage and one disadvantage of trading on margin.