Question

In: Finance

Suppose that Intel currently is selling at $50 per share. The rate on margin loan is...

Suppose that Intel currently is selling at $50 per share. The rate on margin loan is 8%. Investor A purchased 100 shares using 60% margin. Investor B sold 100 shares using 60% margin. The maintenance margin is 40%.

1. Calculate the margin call price for Investor A

2. Calculate the margin call price for Investor B

Solutions

Expert Solution

1.
(100*P-50*100*(1-60%))/(100*P)<=40%
=>60*P<=50*100*(1-60%)
=>P<=50*100*0.40/60
=>P<=33.33333

2.
(100*50+100*50*60%-100*P)/(100*P)<=40%
=>140*P>=(100*50+100*50*60%)
=>P>=(100*50+100*50*60%)/140
=>P>=57.14286


Related Solutions

Suppose that Intel currently is selling at $50 per share. The rate on margin loan is...
Suppose that Intel currently is selling at $50 per share. The rate on margin loan is 8%. Investor A purchased 100 shares using 60% margin. Investor B sold 100 shares using 60% margin. The maintenance margin is 40%. 1. Calculate the margin call price for Investor A 2. Calculate the margin call price for Investor B
Suppose that Intel is currently selling at $40 per share. Youbuy 250 shares by using...
Suppose that Intel is currently selling at $40 per share. You buy 250 shares by using $7,500 of your own money and borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 10% per annum.What is the percentage increase in the net worth (or return on equity) of your brokerage account if the price of Intel immediately changes to (a) $46; (b) $34?If the maintenance margin is 25%, how low can Intel stock...
Suppose that you sell short 500 shares of Intel, currently selling for $70 per share, and...
Suppose that you sell short 500 shares of Intel, currently selling for $70 per share, and give your broker $25,000 to establish your margin account.    a. If you earn no interest on the funds in your margin account, what will be your rate of return after 1 year if Intel stock is selling at: (i) $74; (ii) $70; (iii) $66? Assume that Intel pays no dividends.         (i) Rate of return %   (ii) Rate of return   %   (iii)...
Suppose that you sell short 1,000 shares of Intel, currently selling for $20 per share, and...
Suppose that you sell short 1,000 shares of Intel, currently selling for $20 per share, and give your broker $15,000 to establish your margin account. a. If you earn no interest on the funds in your margin account, what will be your rate of return after 1 year if Intel stock is selling at: (i) $22; (ii) $20; (iii) $18? Assume that Intel pays no dividends. b. If the maintenance margin is 25%, how high can Intel’s price rise before...
Suppose that Intel currently is selling at $44 per share. You buy 500 shares using $18,000...
Suppose that Intel currently is selling at $44 per share. You buy 500 shares using $18,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 7%.    a. What is the percentage increase in the net worth of your brokerage account if the price of Intel immediately changes to: (i) $50.60; (ii) $44; (iii) $37.40? What is the relationship between your percentage return and the percentage change in...
Suppose that you sell short 200 shares of Xtel, currently selling for $50 per share, and...
Suppose that you sell short 200 shares of Xtel, currently selling for $50 per share, and give your broker $6,000 to establish your margin account. a. If you earn no interest on the funds in your margin account, what will be your rate of return after one year if Xtel stock is selling at: (i) $56; (ii) $50; (iii) $45? Assume that Xtel pays no dividends. b. If the maintenance margin is 25%, how high can Xtel’s price rise before...
Suppose that you sell short 200 shares of Xtel, currently selling for $50 per share, and...
Suppose that you sell short 200 shares of Xtel, currently selling for $50 per share, and give your broker $6,000 to establish your margin account. a. If you earn no interest on the funds in your margin account, what will be your rate of return after one year if Xtel stock is selling at: (i) $56; (ii) $50; (iii) $45? Assume that Xtel pays no dividends. b. If the maintenance margin is 25%, how high can Xtel’s price rise before...
Suppose that ZX Inc. is currently selling at $50 per share. You buy 200 shares, using...
Suppose that ZX Inc. is currently selling at $50 per share. You buy 200 shares, using $5,000 of your own money and borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 5%. What is the rate of return on your margined position (assuming again that you invest $5,000 of your own money) if ZX Inc. is selling after one year at (i) $54, (ii) $50, (iii) $46?
Suppose that ZX Inc. is currently selling at $50 per share. You buy 200 shares, using...
Suppose that ZX Inc. is currently selling at $50 per share. You buy 200 shares, using $5,000 of your own money and borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 5%. Suppose that you sell short 400 shares of ZX Inc., currently selling for $50 per share, what will your rate of return be after one year if ZX Inc. stock is selling at (i) $54, (ii) $50, (iii) $46? Assume...
Suppose that ZX Inc. is currently selling at $50 per share. You buy 200 shares, using...
Suppose that ZX Inc. is currently selling at $50 per share. You buy 200 shares, using $5,000 of your own money and borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 5%. Continue to assume that a year has passed. How low can ZX Inc.’s price fall before you get a margin call?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT