The marginal utilities associated with the first 5 units of consumption of good Y are 15, 15, 10, 7, and 3, respectively. What i
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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 × = $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