A hedge fund shorts GameStop stock on January $14,2021.$ Its prime broker requires $150\%$ initial margin and $130\%$ maintenance margin.

a$)$ Show the hedge fund account at the close of Januar $14,2021.$

b$)$ What is the threshold price that will trigger a margin call?

c$)$ On the close of which day would the hedge fund get a margin call?

d$)$ How much additional margin would the hedge fund need to deposit in order to meet the margin requirement?