You expect the stock market to increase, but instead of acquiring stock, you decide to acquire a stock index futures contract. That index is currently $58\mathrm{.}0,$ and the contract has a value that is $$600$ times the amount of the index. The margin requirement is $$3,000.$

When you make the contract, how much must you put up$?$ Round your answer to the nearest dollar.

$

What is the value of the contract based on the index? Round your answer to the nearest dollar.

$

If the value of the index rises $2$ percent to $59\mathrm{.}160,$ what is the profit on the investment? Round your answer to the nearest cent.

$

What is the percentage earned on the funds you put up$?$ Round your answer to one decimal place.

$\%$

If the value of the index declines $2$ percent to $56\mathrm{.}840,$ what percentage of your funds will you lose? Round your answer to one decimal place. Enter your answer as a positive value.

$\%$

What is the percentage you earn $($or lose$)$ if the index falls to $53\mathrm{.}0?$ Round your answer to one decimal place. Enter your answer as a positive value.

The percentage

$-$Select$-$

is

$\%.$