Suppose Ann, an American investor, takes a long position in the following futures contract on wheat on day $0$:

Size: $500$ bushels.

Maturity: $90$ days.

Delivery price: $$600\mathrm{.}00$ per bushel.

Initial margin: $$18,000.$

Maintenance margin: $$12,000.$

Then suppose that the futures price is currently $($i$.$e$.$ on day $0)$ $$600,00$ per bushel. In the following $6$ days it takes the subsequent values:

day $1,$ $$592\mathrm{.}60$

day $2,$ $$590\mathrm{.}20$

day $3,$ $$584\mathrm{.}30$

day $4,$ $$570\mathrm{.}25$

day $5,$ $$550\mathrm{.}25$

day $6,$ $$575\mathrm{.}40$

Suppose Ann closes her position at the end of day $6.$

What is the number of margin calls she receives between day $1$ and day $6?$

Multiple choice $1$ Question $11$

$0$

$1$

$2$

none of the other options

What is the total value of the margin calls she receives?

Multiple choice $2$ Question $11$

$$0\mathrm{.}00$

$$14,875\mathrm{.}00$

$$24,875\mathrm{.}00$

none of the other options

What is the value of her total loss after she closes her margin account?

Multiple choice $3$ Question $11$

$$12,300\mathrm{.}00$

$$24,875\mathrm{.}00$

$$14,875\mathrm{.}00$

$$0\mathrm{.}00$

What is the final balance in her margin account at the end of day $6,$ just before she closes her position?

Multiple choice $4$ Question $11$

$$30,575\mathrm{.}00$

$$18,000\mathrm{.}00$

$$12,000\mathrm{.}00$

none of the other options