Question 1

Assume you sell short 1,000 shares of common stock at $35 per share, with initial margin at 50%. What would be your rate of return if you repurchase the stock at $25 per share? The stock paid no dividends during the period, and you did not remove any money from the account before making the offsetting transaction.

Accepted Answer

The initial value of the short sale is 1,000 shares * $35/share = $35,000. With a 50% margin requirement, you would have had to deposit $17,500. If you repurchase the stock at $25 per share, the total cost is 1,000 shares * $25/share = $25,000. The profit from the transaction is the difference between the initial sale and the repurchase price, which is $35,000 - $25,000 = $10,000. The rate of return is the profit divided by the initial margin requirement: $10,000 / $17,500 = 0.5714, or 57.14%.

Question 2

You want to purchase IBM stock at $130 from your broker using as little of your own money as possible. If initial margin is 50% and you have $19,500 to invest, how many shares can you buy?

Accepted Answer

The answer of You want to purchase IBM stock at...

Question 3

You want to purchase GM stock at $40 from your broker using as little of your own money as possible. If initial margin is 50% and you have $4,000 to invest, how many shares can you buy?

Accepted Answer

With $4,000 and an initial margin requirement of 50%, you can leverage your investment to buy $8,000 worth of stock. At $40 per share, you can buy 200 shares ($8,000 / $40 = 200 shares).

Question 4

Assume you sold short 100 shares of common stock at $70 per share. The initial margin is 50%. What would be the maintenance margin if a margin call is made at a stock price of $85?

Accepted Answer

The maintenance margin is calculated as (Equity / Market Value of Shorted Stock). Initially, you have $7,000 from the short sale and need $3,500 as initial margin (50% of $7,000). If the stock price rises to $85, the market value of the shorted stock is $8,500. Your equity is $7,000 (from short sale) + $3,500 (initial margin) - $8,500 (current market value) = $2,000. Maintenance margin = $2,000 / $8,500 = 23.5%.

Question 5

You sold short 100 shares of common stock at $75 per share. The initial margin is 50%. At what stock price would you receive a margin call if the maintenance margin is 30%?

Accepted Answer

When you sell short, the initial transaction involves selling shares you do not own, with the intention of buying them back later at a lower price. The initial margin requirement of 50% means you must have half the value of the short sale in your account, which in this case is 100 shares at $75 each, totaling $7,500. Therefore, you need $3,750 in your account initially (50% of $7,500).The maintenance margin is the minimum amount of equity that must be maintained in the margin account after the stock is sold short, which in this case is 30%. To find the stock price at which you would receive a margin call, you can use the formula for the value of the equity in the account after a price change, which must be equal to or greater than the maintenance margin requirement.Let P be the price at which a margin call occurs. The total value of the short position at this new price is 100P. The equity in the account is the initial value of the short sale ($7,500) minus the increase in the value of the short position (100P - $7,500). This equity must equal 30% of the value of the short position at the new price, or 0.30 * 100P.Setting up the equation:$$7,500 - (100P - 7,500) = 0.30 \times 100P$$Solving for P gives:$$15,000 - 100P = 30P$$$$130P = 15,000$$$$P = \frac{15,000}{130} = 115.38$$However, since the question asks for the price at which you would receive a margin call, and none of the provided options match the calculated result, it seems there was a mistake in my calculation process based on the provided options. Let's correct the approach considering the correct method to calculate the price at which a margin call occurs for a short sale:For a short sale, the formula to determine the price at which a margin call occurs considering the maintenance margin (MM) is:$$ \text{Equity} = \text{Initial Value} - \text{Current Value} = \text{MM} \times \text{Current Value} $$Given the initial sale is 100 shares at $75, the initial value is $7,500, and the initial margin is 50%, leading to an initial equity of $3,750. The maintenance margin is 30%. The correct approach to find the price at which a margin call occurs is:$$ \text{Equity} = \text{Initial Sale} - \text{Number of Shares} \times \text{New Price} $$$$ \text{Equity} = 7,500 - 100P $$This equity needs to be 30% of the current value of the position:$$ 7,500 - 100P = 0.30 \times 100P $$$$ 7,500 = 130P $$$$ P = \frac{7,500}{130} $$This calculation was intended to find the correct price P at which a margin call occurs, but it seems there was a misunderstanding in the application of the formula. The correct calculation directly addresses the relationship between the price increase, the equity in the account, and the maintenance margin requirement for a short sale. Given the options and the mistake in the calculation, let's correct the approach based on the standard formula for a margin call in a short sale scenario:$$ \text{Margin Call Price} = \text{Initial Price} \times \left(1 + \frac{\text{Initial Margin Requirement}}{1 - \text{Maintenance Margin Requirement}}\right) $$Using the correct formula and values:$$ \text{Margin Call Price} = 75 \times \left(1 + \frac{0.50}{1 - 0.30}\right) $$This formula correctly calculates the price at which the equity in the account falls to the maintenance margin level, necessitating a margin call. However, the initial explanation attempted to directly solve for the price without correctly applying the formula specific to short sales and margin calls. The correct answer should be derived from understanding the relationship between the sale price, margin requirements, and how they affect the price at which a margin call is triggered. Given the mistake in the initial calculation and explanation, the focus should be on correctly applying the principles of margin requirements in short selling to find the accurate stock price for a margin call, which should align with one of the provided choices.

Question 6

Assume you sold short 100 shares of common stock at $40 per share. The initial margin is 50%. What would be the maintenance margin if a margin call is made at a stock price of $50?

Accepted Answer

The answer of Assume you sold short 100 shares of...

Question 7

Assume you sell short 100 shares of common stock at $30 per share, with initial margin at 50%. What would be your rate of return if you repurchase the stock at $35 per share? The stock paid no dividends during the period, and you did not remove any money from the account before making the offsetting transaction.

Accepted Answer

The rate of return on a short sale is calculated as (Initial Price - Final Price) / Initial Margin. Here, you sold the stock at $30 and repurchased at $35, making a loss of $5 per share on 100 shares, totaling a $500 loss. The initial margin required was 50% of $30 * 100 shares = $1500. Thus, the rate of return is ($500 loss / $1500 initial margin) = -33.33%.

Question 8

You sold short 150 shares of common stock at $27 per share. The initial margin is 45%. Your initial investment was

Accepted Answer

The initial investment for a short sale is calculated by multiplying the sale price of the stock by the number of shares sold short and then by the initial margin requirement. In this case, it's $27 per share * 150 shares * 45% = $1,822.50.

Question 9

You sold short 100 shares of common stock at $45 per share. The initial margin is 50%. Your initial investment was

Accepted Answer

When you sell short 100 shares at $45 per share, the total value of the shares sold is $4,500. With an initial margin requirement of 50%, your initial investment would be 50% of $4,500, which is $2,250.

Question 10

You buy 300 shares of Qualitycorp for $30 per share and deposit initial margin of 50%. The next day, Qualitycorp's price drops to $25 per share. What is your actual margin?

Accepted Answer

The initial investment is $9,000 (300 shares * $30/share), with an initial margin of 50%, so you borrow $4,500 and use $4,500 of your own money. After the price drops to $25 per share, the value of the shares is $7,500 (300 shares * $25/share). Your equity in the investment is the current value of the shares ($7,500) minus the amount borrowed ($4,500), which equals $3,000. The actual margin is the equity ($3,000) divided by the current value of the shares ($7,500), which equals 40%.

Question 11

In a typical underwriting arrangement, the investment-banking firm I) sells shares to the public via an underwriting syndicate.
II) purchases the securities from the issuing company.
III) assumes the full risk that the shares may not be sold at the offering price.
IV) agrees to help the firm sell the issue to the public but does not actually purchase the securities.

Accepted Answer

In a typical underwriting arrangement, the investment-banking firm sells shares to the public via an underwriting syndicate (I), purchases the securities from the issuing company (II), and assumes the full risk that the shares may not be sold at the offering price (III). This process does not include agreeing to help the firm sell the issue to the public without actually purchasing the securities (IV), which describes a best-efforts agreement rather than a firm commitment underwriting.

Question 12

You purchased 1,000 shares of PINS common stock on margin at $19 per share. Assume the initial margin is 50%, and the maintenance margin is 30%. Below what stock price level would you get a margin call? Assume the stock pays no dividend; ignore interest on margin.

Accepted Answer

To find the price at which a margin call occurs, use the formula: Price = Loan / (1 - Maintenance Margin). The loan is $9,500 (50% of $19,000), and the maintenance margin is 30%. So, Price = $9,500 / (1 - 0.30) = $13.57.

Question 13

You purchased 100 shares of common stock on margin for $50 per share. The initial margin is 50%, and the stock pays no dividend. What would your rate of return be if you sell the stock at $56 per share? Ignore interest on margin.

Accepted Answer

The answer of You purchased 100 shares of common stock...

Question 14

You purchased 1,000 shares of common stock on margin at $30 per share. Assume the initial margin is 50%, and the stock pays no dividend. What would the maintenance margin be if a margin call is made at a stock price of $24? Ignore interest on margin.

Accepted Answer

The maintenance margin is calculated when a margin call occurs. Here, you initially bought 1,000 shares at $30 each, totaling $30,000. With an initial margin of 50%, you borrowed $15,000 and used $15,000 of your own money. If a margin call is made at a stock price of $24, the total value of the stock is now $24,000 (1,000 shares * $24/share). The equity (your money) in the account is the current value of the stock minus what you owe, which is $24,000 - $15,000 = $9,000. The maintenance margin is the equity in the account divided by the total value of the stock, which is $9,000 / $24,000 = 0.375 or 37.5%.

Question 15

You sold short 100 shares of common stock at $45 per share. The initial margin is 50%. At what stock price would you receive a margin call if the maintenance margin is 35%?

Accepted Answer

When you sell short, the initial transaction involves selling shares you do not own, with the intention of buying them back later at a lower price. The initial margin requirement of 50% means you must have half the value of the short sale in your account. In this case, you sold 100 shares at $45 each, so the total value is $4,500, and the initial margin is $2,250 (50% of $4,500). The maintenance margin is the minimum amount of equity that must be maintained in the margin account, which in this case is 35%. To find the stock price at which you'd receive a margin call, you can use the formula for the value of the equity in the account after a price change, which must stay above 35% of the value of the shares at the new price. The formula for the equity in a short sale account after a price increase is: Initial Margin + (Initial Price - New Price) * Number of Shares. Set this equal to 35% of (New Price * Number of Shares), solve for the New Price, and you find that a margin call would occur if the stock price rises to $50.

Question 16

You purchased 100 shares of common stock on margin at $40 per share. Assume the initial margin is 50%, and the stock pays no dividend. What would the maintenance margin be if a margin call is made at a stock price of $25? Ignore interest on margin.

Accepted Answer

The answer of You purchased 100 shares of common stock...

Question 17

When a firm markets new securities, a preliminary registration statement must be filed with

Accepted Answer

The Securities and Exchange Commission (SEC) is the federal agency responsible for enforcing federal securities laws and regulating the securities industry. When a firm plans to issue new securities, it must file a preliminary registration statement with the SEC to provide potential investors with the necessary information to make informed investment decisions. This process is part of the SEC's mandate to protect investors and maintain fair, orderly, and efficient markets.

Question 18

You purchased 100 shares of common stock on margin for $60 per share. The initial margin is 50%, and the stock pays no dividend. What would your rate of return be if you sell the stock at $72 per share? Ignore interest on margin.

Accepted Answer

The initial investment is $3,000 (50% of $6,000). Selling at $72 gives $7,200. Profit is $1,200 ($7,200 - $6,000). Rate of return is $1,200/$3,000 = 40%.

Question 19

You purchased 100 shares of KO common stock on margin at $60 per share. Assume the initial margin is 50%, and the maintenance margin is 30%. Below what stock price level would you get a margin call? Assume the stock pays no dividend; ignore interest on margin.

Accepted Answer

The formula to calculate the price at which you'd receive a margin call is: P = (Initial Price * (1 - Initial Margin)) / (1 - Maintenance Margin). Plugging in the values: P = ($60 * (1 - 0.5)) / (1 - 0.3) = $30 / 0.7 = $42.86.

Question 20

Which of the following is true regarding private placements of primary security offerings?

Accepted Answer

Private placements of primary security offerings involve selling shares directly to a small, select group of institutional or wealthy investors, bypassing the need for extensive and costly registration with the SEC, unlike public offerings. This method is typically less liquid and not suited for very large issues compared to public offerings, and the securities do not trade in secondary markets as public offerings do.

Quiz 3: How Securities Are Traded