
Explanation:
Step 1: Calculate the total investment value
$100/share$100 × 10,000 = $1,000,000Step 2: Calculate the investor's equity contribution
$1,000,000 ÷ 2.5 = $400,000$1,000,000 - $400,000 = $600,000Step 3: Calculate interest expense
$600,000 × 5% = $30,000Step 4: Calculate total proceeds from sale
$110/share$110 × 10,000 = $1,100,000Step 5: Calculate dividend income
$5/share$5 × 10,000 = $50,000Step 6: Calculate net profit
$1,100,000 - $1,000,000 = $100,000$100,000 + $50,000 = $150,000$150,000 - $30,000 = $120,000Step 7: Calculate return on investment
$400,000$120,000 ÷ $400,000 = 0.30 = 30%Verification:
$1,000,000$400,000 (40%)$600,000 (60%)$110 - $100 + $5) ÷ $100) = 15%Therefore, the correct answer is C. 30%.
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The following information relates to a leveraged investment:
| Purchase price | $100/share |
|---|---|
| Sales price | $110/share |
| Shares purchased and subsequently sold | 10,000 |
| Leverage ratio | 2.5 |
| Call money rate, per annum | 5% |
| Dividends received | $5/share |
| Holding period | 1 year |
The return on investment is closest to:
A
18%.
B
25%.
C
30%.