Question

You’ve borrowed $23,072 on margin to buy shares in Ixnay, which is now selling at $41.2 per share. You invest 1,120 shares. Your account starts at the initial margin requirement of 50%. The maintenance margin is 35%. Two days later, the stock price changes to $41 per share.
a) Will you receive a margin call?b) How low can the price of Disney shares fall before you receive a margin call?

Answer 1

Answer:

(a) Since the percentage margin is more than maintenance margin, there would be no call

(b) A margin call would be received when the price is $15.26

Explanation:

(a) Total investment = $23,072 × $\frac{100}{50}$ = $46,144

Total shares = Total investment ÷ share price

= $46,144 ÷ $41.2 = 1,120

Value of share in market = new price × number of shares

= $41 × 1,120

= $45,920

Value of equity = Value of share in the market - borrowed cash

= $45,920 - $23,072

= $22,848

Percentage margin = Value of equity ÷ Value of shares

= ($22,848 ÷ $45,920) × 100%

= 49.76%

(b) Total number of shares = 1,120

Assumed value of shares = $1,120X

Borrowed fund = $23,072

Value of equity = $1,120X - $23,072

Margin = Value of equity ÷ Value of shares

0.35 = ($1,120X - $23,072) ÷ $1,120X

392X = $1,120X - $23,072

1512X = $23,072

X = $15.26