Chapter 03 – Securities Markets
d. By the end of the year, the amount of the loan owed to the broker grows
to:
$5,000 (1 + 0.08) = $5,400
The equity in your account is (500P – $5,400). Initial equity was $15,000.
Therefore, the rate of return after one year is as follows:
(i) (500 $44)-$5,400- $15,000
$15,000 = 0.1067 = 10.67%
For example, when the stock price rises from $40 to $44, the percentage
change in price is 10% (0.10), while the percentage gain for the investor
is:
(.10 $20,000
$15,000) – (.08 $5,000
$15,000) = .1067 or 10.67%
e. The value of the 500 shares is 500P. Equity is (500P – $5,400). I will
receive a margin call when:
25. a. Given the $15,000 invested funds and assuming the gain or loss on the
short position is (–500 P), we can calculate the rate of return using the
following formula:
Rate of return = (–500 P)/15,000
Thus, the rate of return in each of the three scenarios is:
(i) Rate of return = (–500 $)/$15,000 = –0.1333 = –13.33%