Suppose Jane has $12000 available to invest at the end of 5/2010, which she places into her
Question:
Suppose Jane has $12000 available to invest at the end of 5/2010, which she places into her brokerage account. Her broker requires an effective interest of 1% per month on any funds borrowed from her. And any funds placed with her broker earn an effective monthly rate of 1% also. The price of KLV stock is $50 at the end of 5/2010 and $57.50 at the end of 6/2010. KLV did not pay a dividend to its stockholders during 6/2010. Ignore commissions and other trading costs.
A. What is the return on KLV stock in 6/2010? B. Suppose that, at the end of 5/2010, Jane decides to borrow $3000 from her broker and use this borrowed money plus the $12000 in her brokerage account to buy KLV stock on margin.
1. What is the value of her brokerage account at the start of 6/2010?
2. What fraction of her portfolio is invested in KLV stock at the start of 6/2010?
3. What fraction of her portfolio is invested in the riskless asset at the start of 6/2010?
4. What is the percent margin associated with Jane's KLV position at the start of 6/2010?
5. What is the return on her portfolio in 6/2010?
6. What is the value of her brokerage account at the end of 6/2010?
C. Suppose instead that, at the end of 5/2010, Jane decides to short sell $9000 worth of KLV stock, keeping the proceeds from the short sale in her brokerage account. 1. What is the value of her brokerage account at the start of 6/2010?
2. What fraction of her portfolio is invested in KLV stock at the start of 6/2010?
3. What fraction of her portfolio is invested in the riskless asset at the start of 6/2010?
4. What is the percent margin associated with Jane's KLV position at the start of 6/2010?
5. What is the return on her portfolio in 6/2010? 6. What is the value of her brokerage account at the end of 6/2010?
Fundamentals of Investing
ISBN: 978-0133075359
12th edition
Authors: Scott B. Smart, Lawrence J. Gitman, Michael D. Joehnk