Michael's broker sends Michael a margin call if the equity

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Michael's broker sends Michael a margin call if the equity balance in his account falls below $25,000 at the close of any trading day during a 30 day time period. Did the broker send Michael a margin call sometime in the last 30 days?

(1) Michael's trading account balanced declined by $250,000 during the 30 day period.
(2) At the beginning of the month, Michael's trading account balance was $125,000.

Is there any sufficient statement?

OA E
Source: — Data Sufficiency |

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by Jay@ManhattanReview » Mon Mar 12, 2018 3:36 am
lheiannie07 wrote:Michael's broker sends Michael a margin call if the equity balance in his account falls below $25,000 at the close of any trading day during a 30 day time period. Did the broker send Michael a margin call sometime in the last 30 days?

(1) Michael's trading account balanced declined by $250,000 during the 30 day period.
(2) At the beginning of the month, Michael's trading account balance was $125,000.

Is there any sufficient statement?

OA E
Given: Michael's broker sends Michael a margin call if the equity balance in his at the close of any trading day during a 30 day time period

We have to determine whether the broker gave a margin call.

Let's take each statement one by one.

(1) Michael's trading account balanced declined by $250,000 during the 30 day period.

Case 1: Say on a given day Michael's account showed $260,000 and it declined by $250,000, thus, the account balance is $10,000 (below $25,0000). The answer is Yes.
Case 2: Say on a given day Michael's account showed $300,000 and it declined by $250,000, thus, the account balance is $50,000 (not below $25,0000). The answer is No.

No unique answer. Insufficient.

(2) At the beginning of the month, Michael's trading account balance was $125,000.

We cannot conclude anything. The account may or may not fall below $25,000. Insufficient.

(1) and (2) together

Even combing the two statements will not help as Michael's account may or may not fall below $25,000. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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