An investor buys $8,000 worth of a stock priced at $40 per share using 50% initial margin. The broker charges 6% on the margin loan and requires a 30% maintenance margin. In one year the investor gets a margin call.
1. Calculate the price the stock must have had at the time of the margin call.
2. Calculate the return the stock had at the time of the margin call.
3. Calculate the return the investor had at the time of the margin call. (Be careful, the interest charge on the margin loan must be included in this calculation.)