Please help solve question 14 ONLY. I only provided the first two questions because you need them to answer question 14. Show work.

12. Suppose initial margin rate is 50% and maintenance margin rate is 30%. The current stock price is $25. You short sell 10,000 shares. What is the initial margin dollar amount? (Ignore interests from the proceeds and loan fees.)

1) $125,000 <---- Correct Answer

2) $135,000

3) $145,000

4) $155,000

5) $165,000

13. In the question above, at what price $P will you get the first margin call?

1) $34.85

2) $32.85

3) $30.85

4) $28.85 <---- Correct answer

5) $26.85

14. In the question above, how much do you need to deposit more to satisfy the initial margin requirement at the first margin call?

1) $51,692

2) $57,692

3) $67,692

4) $87,692

5) $97,692