OneChicago has just introduced a new single stock futures contract on the stock of Brandex, a company that currently pays no dividends. Each contract calls for delivery of $1,500$ shares of stock in one year. The T$-$bill rate is $4\%$ per year.

Required:

a$.$ If Brandex stock now sells at $$200$ per share, what should the futures price be$?($Round your answer to $2$ decimal places.$)$

b$.$ Brandex stock now sells at $$200$ per share. If the Brandex stock price drops by $3\mathrm{.}0\%,$ what will be the new futures price and the change in the investor's margin account? $($Input all amounts as positive values. Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$