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7) Marlene purchased 100 shares of Textcom stock at $89 per share using the prevailing minimum initial margin requirement of
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Answer #1

price at which margin call will happen = initial price * (1 - initial margin) / (1 - maintenance margin)

= $89 * (1 - .75)/(1 - .55)

= $89 * .25/.45

= $49.44

Since price fall below the $40 there will be margin call.

Value put by investor = 75% of 89

= $ 66.75

Value as a loan = $89 - 66.75

= $22.25

At the price of $40 value of equity to total value = 40 - 22.25/40

= 17.75/40

= 43.75%

Amount of equity required to maintain = 75% of 40

= $30

thus margin topup will be = $30 - $17.75

= $12.25

thus total margin top up will be = 100 * 12.25

= $1225

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