Chapter 03

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1. Award: 10.00 points Problems? Adjust credit for all students. Are the following statements true or false? Required: a. An investor who wishes to sell shares immediately should ask his or her broker to enter a limit order. False b. The ask price is less than the bid price. False c. An issue of additional shares of stock to the public by Microsoft would be called an IPO. False d. An ECN (Electronic Communications Network) is a computer link used by security dealers primarily to advertise prices at which they are willing to buy or sell shares. True Explanation: a. False: An investor who wishes to sell shares immediately should ask the broker to enter a market order. b. False: The ask price is greater than the bid price. (note: the opposite is true for yields) c. False: An issue of additional shares of stock to the public by Microsoft would be called seasoned offering. d. True Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
2. Award: 10.00 points Problems? Adjust credit for all students. Are the following statements true or false? Required: a. Market orders entail greater price uncertainty than limit orders. True b. Market orders entail greater time-of-execution uncertainty than limit orders. False Explanation: a. True b. False: Market orders entail less time-of-execution uncertainty than limit orders. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
3. Award: 10.00 points Problems? Adjust credit for all students. Dée Trader opens a brokerage account and purchases 300 shares of Internet Dreams at $40 per share. She borrows $4,000 from her broker to help pay for the purchase. The interest rate on the loan is 8%. Required: a. What is the margin in Dée’s account when she first purchases the stock? b. If the share price falls to $30 per share by the end of the year, what is the remaining margin in her account? c. If the maintenance margin requirement is 30%, will she receive a margin call? d. What is the rate of return on her investment? Required A Required B Complete this question by entering your answers in the tabs below. What is the margin in Dée’s account when she first purchases the stock? Note: Round your answer to the nearest whole dollar. Required A Required B Required C Required D $ Margin 8,000 Explanation: a. The stock is purchased for: 300 × $40 = $12,000 The amount borrowed is $4,000. Therefore, the investor put up equity, or margin, of $8,000. b. If the share price falls to $30, then the value of the stock falls to $9,000. By the end of the year, the amount of the loan owed to the broker grows to: $4,000 × 1.08 = $4,320 Therefore, the remaining margin in the investor's account is: $9,000 − $4,320 = $4,680 c. The percentage margin is now: $4,680 ÷ $9,000 = 0.52, or 52% > 30%. Therefore, the investor will not receive a margin call. d. Using an end price of $30, the rate of return on the investment is: (Ending equity in the account − Initial equity) ÷ Initial equity = ($4,680 − $8,000) ÷ $8,000 = −41.5% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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3. Award: 10.00 points Problems? Adjust credit for all students. Dée Trader opens a brokerage account and purchases 300 shares of Internet Dreams at $40 per share. She borrows $4,000 from her broker to help pay for the purchase. The interest rate on the loan is 8%. Required: a. What is the margin in Dée’s account when she first purchases the stock? b. If the share price falls to $30 per share by the end of the year, what is the remaining margin in her account? c. If the maintenance margin requirement is 30%, will she receive a margin call? d. What is the rate of return on her investment? Required A Required C Complete this question by entering your answers in the tabs below. If the share price falls to $30 per share by the end of the year, what is the remaining margin in her account? Note: Round your answer to the nearest whole dollar. Required A Required B Required C Required D $ Remaining margin 4,680 Explanation: a. The stock is purchased for: 300 × $40 = $12,000 The amount borrowed is $4,000. Therefore, the investor put up equity, or margin, of $8,000. b. If the share price falls to $30, then the value of the stock falls to $9,000. By the end of the year, the amount of the loan owed to the broker grows to: $4,000 × 1.08 = $4,320 Therefore, the remaining margin in the investor's account is: $9,000 − $4,320 = $4,680 c. The percentage margin is now: $4,680 ÷ $9,000 = 0.52, or 52% > 30%. Therefore, the investor will not receive a margin call. d. Using an end price of $30, the rate of return on the investment is: (Ending equity in the account − Initial equity) ÷ Initial equity = ($4,680 − $8,000) ÷ $8,000 = −41.5% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
3. Award: 10.00 points Problems? Adjust credit for all students. Dée Trader opens a brokerage account and purchases 300 shares of Internet Dreams at $40 per share. She borrows $4,000 from her broker to help pay for the purchase. The interest rate on the loan is 8%. Required: a. What is the margin in Dée’s account when she first purchases the stock? b. If the share price falls to $30 per share by the end of the year, what is the remaining margin in her account? c. If the maintenance margin requirement is 30%, will she receive a margin call? d. What is the rate of return on her investment? Required B Required D Complete this question by entering your answers in the tabs below. If the maintenance margin requirement is 30%, will she receive a margin call? Required A Required B Required C Required D If the maintenance margin requirement is 30%, will she receive a margin call? No Explanation: a. The stock is purchased for: 300 × $40 = $12,000 The amount borrowed is $4,000. Therefore, the investor put up equity, or margin, of $8,000. b. If the share price falls to $30, then the value of the stock falls to $9,000. By the end of the year, the amount of the loan owed to the broker grows to: $4,000 × 1.08 = $4,320 Therefore, the remaining margin in the investor's account is: $9,000 − $4,320 = $4,680 c. The percentage margin is now: $4,680 ÷ $9,000 = 0.52, or 52% > 30%. Therefore, the investor will not receive a margin call. d. Using an end price of $30, the rate of return on the investment is: (Ending equity in the account − Initial equity) ÷ Initial equity = ($4,680 − $8,000) ÷ $8,000 = −41.5% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
3. Award: 10.00 points Problems? Adjust credit for all students. Dée Trader opens a brokerage account and purchases 300 shares of Internet Dreams at $40 per share. She borrows $4,000 from her broker to help pay for the purchase. The interest rate on the loan is 8%. Required: a. What is the margin in Dée’s account when she first purchases the stock? b. If the share price falls to $30 per share by the end of the year, what is the remaining margin in her account? c. If the maintenance margin requirement is 30%, will she receive a margin call? d. What is the rate of return on her investment? Required C Required D Complete this question by entering your answers in the tabs below. What is the rate of return on her investment? Note: Negative value should be indicated by a minus sign. Round your answer to 1 decimal place. Required A Required B Required C Required D Rate of return (41.5) % Explanation: a. The stock is purchased for: 300 × $40 = $12,000 The amount borrowed is $4,000. Therefore, the investor put up equity, or margin, of $8,000. b. If the share price falls to $30, then the value of the stock falls to $9,000. By the end of the year, the amount of the loan owed to the broker grows to: $4,000 × 1.08 = $4,320 Therefore, the remaining margin in the investor's account is: $9,000 − $4,320 = $4,680 c. The percentage margin is now: $4,680 ÷ $9,000 = 0.52, or 52% > 30%. Therefore, the investor will not receive a margin call. d. Using an end price of $30, the rate of return on the investment is: (Ending equity in the account − Initial equity) ÷ Initial equity = ($4,680 − $8,000) ÷ $8,000 = −41.5% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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4. Award: 10.00 points Problems? Adjust credit for all students. Old Economy Traders opened an account to short-sell 1,000 shares of Internet Dreams at $40 per share. The initial margin requirement was 50%. (The margin account pays no interest.) A year later, the price of Internet Dreams has risen from $40 to $50, and the stock has paid a dividend of $2 per share. Required: a. What is the remaining margin in the account? b. If the maintenance margin requirement is 30%, will Old Economy receive a margin call? c. What is the rate of return on the short position (treating the initial margin as the amount invested)? Required A Required B Complete this question by entering your answers in the tabs below. What is the remaining margin in the account? Required A Required B Required C $ Remaining margin 8,000 Explanation: a. The initial margin was: 0.50 × 1,000 × $40 = $20,000 As a result of the increase in the stock price Old Economy Traders loses: $10 × 1,000 = $10,000 Margin decreases by $10,000. Old Economy Traders must pay the dividend of $2 per share to the lender of the shares; the margin in the account decreases by an additional $2,000. Therefore, the remaining margin is: $20,000 − $10,000 − $2,000 = $8,000 b. The percentage margin is: $8,000 ÷ $50,000 = 0.16, or 16% < 30% There will be a margin call. c. The equity in the account decreased from $20,000 to $8,000 in one year, for a rate of return of: ($40,000 − $50,000 − $2 × 1,000) ÷ $20,000 = − 0.60, or − 60% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
4. Award: 10.00 points Problems? Adjust credit for all students. Old Economy Traders opened an account to short-sell 1,000 shares of Internet Dreams at $40 per share. The initial margin requirement was 50%. (The margin account pays no interest.) A year later, the price of Internet Dreams has risen from $40 to $50, and the stock has paid a dividend of $2 per share. Required: a. What is the remaining margin in the account? b. If the maintenance margin requirement is 30%, will Old Economy receive a margin call? c. What is the rate of return on the short position (treating the initial margin as the amount invested)? Required A Required C Complete this question by entering your answers in the tabs below. If the maintenance margin requirement is 30%, will Old Economy receive a margin call? Required A Required B Required C If the maintenance margin requirement is 30%, will Old Economy receive a margin call? Yes Explanation: a. The initial margin was: 0.50 × 1,000 × $40 = $20,000 As a result of the increase in the stock price Old Economy Traders loses: $10 × 1,000 = $10,000 Margin decreases by $10,000. Old Economy Traders must pay the dividend of $2 per share to the lender of the shares; the margin in the account decreases by an additional $2,000. Therefore, the remaining margin is: $20,000 − $10,000 − $2,000 = $8,000 b. The percentage margin is: $8,000 ÷ $50,000 = 0.16, or 16% < 30% There will be a margin call. c. The equity in the account decreased from $20,000 to $8,000 in one year, for a rate of return of: ($40,000 − $50,000 − $2 × 1,000) ÷ $20,000 = − 0.60, or − 60% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
4. Award: 10.00 points Problems? Adjust credit for all students. Old Economy Traders opened an account to short-sell 1,000 shares of Internet Dreams at $40 per share. The initial margin requirement was 50%. (The margin account pays no interest.) A year later, the price of Internet Dreams has risen from $40 to $50, and the stock has paid a dividend of $2 per share. Required: a. What is the remaining margin in the account? b. If the maintenance margin requirement is 30%, will Old Economy receive a margin call? c. What is the rate of return on the short position (treating the initial margin as the amount invested)? Required B Required C Complete this question by entering your answers in the tabs below. What is the rate of return on the short position (treating the initial margin as the amount invested)? Note: Negative value should be indicated by a minus sign. Required A Required B Required C Rate of return (60) % Explanation: a. The initial margin was: 0.50 × 1,000 × $40 = $20,000 As a result of the increase in the stock price Old Economy Traders loses: $10 × 1,000 = $10,000 Margin decreases by $10,000. Old Economy Traders must pay the dividend of $2 per share to the lender of the shares; the margin in the account decreases by an additional $2,000. Therefore, the remaining margin is: $20,000 − $10,000 − $2,000 = $8,000 b. The percentage margin is: $8,000 ÷ $50,000 = 0.16, or 16% < 30% There will be a margin call. c. The equity in the account decreased from $20,000 to $8,000 in one year, for a rate of return of: ($40,000 − $50,000 − $2 × 1,000) ÷ $20,000 = − 0.60, or − 60% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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5. Award: 10.00 points Problems? Adjust credit for all students. Consider the following limit-order book for FinTrade stock. The last trade in the stock occurred at a price of $50. Limit Buy Orders Limit Sell Orders Price Shares Price Shares $ 49.75 500 $ 50.25 100 49.50 800 51.50 100 49.25 500 54.75 300 49.00 200 58.25 100 48.50 600 Required: a. If a market buy order for 100 shares comes in, at what price will it be filled? b. At what price would the next market buy order be filled? c. If you were a security dealer, would you want to increase or decrease your inventory of this stock? Required A Required B Complete this question by entering your answers in the tabs below. If a market buy order for 100 shares comes in, at what price will it be filled? Note: Round your answer to 2 decimal places. Required A Required B Required C $ Price 50.25 Explanation: a. The buy order for FinTrade will be filled at the best limit-sell order price: $50.25 b. The next market buy order, after the first 100 shares from part a., will be filled at the next-best limit-sell order price: $51.50 c. You would want to increase your inventory. There is considerable buying demand at prices just below $50, indicating that downside risk is limited. In contrast, limit sell orders are sparse, indicating that a moderate buy order could result in a substantial price increase. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
5. Award: 10.00 points Problems? Adjust credit for all students. Consider the following limit-order book for FinTrade stock. The last trade in the stock occurred at a price of $50. Limit Buy Orders Limit Sell Orders Price Shares Price Shares $ 49.75 500 $ 50.25 100 49.50 800 51.50 100 49.25 500 54.75 300 49.00 200 58.25 100 48.50 600 Required: a. If a market buy order for 100 shares comes in, at what price will it be filled? b. At what price would the next market buy order be filled? c. If you were a security dealer, would you want to increase or decrease your inventory of this stock? Required A Required C Complete this question by entering your answers in the tabs below. At what price would the next market buy order be filled? Note: Round your answer to 2 decimal places. Required A Required B Required C $ Price 51.50 Explanation: a. The buy order for FinTrade will be filled at the best limit-sell order price: $50.25 b. The next market buy order, after the first 100 shares from part a., will be filled at the next-best limit-sell order price: $51.50 c. You would want to increase your inventory. There is considerable buying demand at prices just below $50, indicating that downside risk is limited. In contrast, limit sell orders are sparse, indicating that a moderate buy order could result in a substantial price increase. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
5. Award: 10.00 points Problems? Adjust credit for all students. Consider the following limit-order book for FinTrade stock. The last trade in the stock occurred at a price of $50. Limit Buy Orders Limit Sell Orders Price Shares Price Shares $ 49.75 500 $ 50.25 100 49.50 800 51.50 100 49.25 500 54.75 300 49.00 200 58.25 100 48.50 600 Required: a. If a market buy order for 100 shares comes in, at what price will it be filled? b. At what price would the next market buy order be filled? c. If you were a security dealer, would you want to increase or decrease your inventory of this stock? Required B Required C Complete this question by entering your answers in the tabs below. If you were a security dealer, would you want to increase or decrease your inventory of this stock? Required A Required B Required C If you were a security dealer, would you want to increase or decrease your inventory of this stock? Increase Explanation: a. The buy order for FinTrade will be filled at the best limit-sell order price: $50.25 b. The next market buy order, after the first 100 shares from part a., will be filled at the next-best limit-sell order price: $51.50 c. You would want to increase your inventory. There is considerable buying demand at prices just below $50, indicating that downside risk is limited. In contrast, limit sell orders are sparse, indicating that a moderate buy order could result in a substantial price increase. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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6. Award: 10.00 points Problems? Adjust credit for all students. You are bullish on Telecom stock. The current market price is $50 per share, and you have $5,000 of your own to invest. You borrow an additional $5,000 from your broker at an interest rate of 8% per year and invest $10,000 in the stock. Required: a. What will be your rate of return if the price of Telecom stock goes up by 10% during the next year? The stock currently pays no dividends. b. How far does the price of Telecom stock have to fall for you to get a margin call if the maintenance margin is 30%? Assume the price fall happens immediately. Required A Required B Complete this question by entering your answers in the tabs below. What will be your rate of return if the price of Telecom stock goes up by 10% during the next year? The stock currently pays no dividends. Note: Enter your answer as a percent rounded to the nearest whole number. Required A Required B Rate of return 12 % Explanation: a. At $50 per share, you buy 200 shares of Telecom for $10,000 with $5,000 margin. Shares increase in value by 10%, or $1,000. The rate of return will be 12%: The rate of return will be: ($55 × 200 − $5,000 − ($5,000 + 0.08 × $5,000)) ÷ $5,000 = 0.12 b. The value of the 200 shares is 200 P . Equity is (200 P − $5,000). You will receive a margin call when: ((200 × P − $5,000) ÷ 200 × P ) = 0.30 when P = $35.71 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
6. Award: 10.00 points Problems? Adjust credit for all students. You are bullish on Telecom stock. The current market price is $50 per share, and you have $5,000 of your own to invest. You borrow an additional $5,000 from your broker at an interest rate of 8% per year and invest $10,000 in the stock. Required: a. What will be your rate of return if the price of Telecom stock goes up by 10% during the next year? The stock currently pays no dividends. b. How far does the price of Telecom stock have to fall for you to get a margin call if the maintenance margin is 30%? Assume the price fall happens immediately. Required A Required B Complete this question by entering your answers in the tabs below. How far does the price of Telecom stock have to fall for you to get a margin call if the maintenance margin is 30%? Assume the price fall happens immediately. Note: Round your answer to 2 decimal places. Required A Required B $ Margin call will be made at price 35.71 or lower Explanation: a. At $50 per share, you buy 200 shares of Telecom for $10,000 with $5,000 margin. Shares increase in value by 10%, or $1,000. The rate of return will be 12%: The rate of return will be: ($55 × 200 − $5,000 − ($5,000 + 0.08 × $5,000)) ÷ $5,000 = 0.12 b. The value of the 200 shares is 200 P . Equity is (200 P − $5,000). You will receive a margin call when: ((200 × P − $5,000) ÷ 200 × P ) = 0.30 when P = $35.71 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
7. Award: 10.00 points Problems? Adjust credit for all students. You are bearish on Telecom and decide to sell short 100 shares at the current market price of $50 per share. Required: a. How much in cash or securities must you put into your brokerage account if the broker's initial margin requirement is 50% of the value of the short position? b. How high can the price of the stock go before you get a margin call if the maintenance margin is 30% of the value of the short position? Required A Required B Complete this question by entering your answers in the tabs below. How much in cash or securities must you put into your brokerage account if the broker's initial margin requirement is 50% of the value of the short position? Note: Round your answer to the nearest whole dollar. Required A Required B $ Cash or securities to be put into brokerage account 2,500 Explanation: a. Initial margin is 50% of $5,000, or $2,500. b. Total assets are $7,500 ($5,000 from the sale of the stock and $2,500 put up for margin). Liabilities are 100 P . Therefore, equity is ($7,500 − 100 P ). A margin call will be issued when: ($7,500 − 100 × p ) ÷ 100 × p = 0.30 when P = $57.69 or higher Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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7. Award: 10.00 points Problems? Adjust credit for all students. You are bearish on Telecom and decide to sell short 100 shares at the current market price of $50 per share. Required: a. How much in cash or securities must you put into your brokerage account if the broker's initial margin requirement is 50% of the value of the short position? b. How high can the price of the stock go before you get a margin call if the maintenance margin is 30% of the value of the short position? Required A Required B Complete this question by entering your answers in the tabs below. How high can the price of the stock go before you get a margin call if the maintenance margin is 30% of the value of the short position? Note: Round your answer to 2 decimal places. Required A Required B $ Margin call will be made at price 57.69 or higher Explanation: a. Initial margin is 50% of $5,000, or $2,500. b. Total assets are $7,500 ($5,000 from the sale of the stock and $2,500 put up for margin). Liabilities are 100 P . Therefore, equity is ($7,500 − 100 P ). A margin call will be issued when: ($7,500 − 100 × p ) ÷ 100 × p = 0.30 when P = $57.69 or higher Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
8. Award: 10.00 points Problems? Adjust credit for all students. Suppose that Xtel currently is selling at $20 per share. You buy 1,000 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%. Required: a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call? c. How would your answer to ( b ) change if you had financed the initial purchase with only $10,000 of your own money? d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after 1 year at: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? Assume that Xtel pays no dividends. e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call? Required A Required B Complete this question by entering your answers in the tabs below. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. Required A Required B Required C Required D Required E Show less 1. Percentage gain 13.33 % 2. Percentage gain 0 % 3. Percentage gain (13.33) % Explanation: The total cost of the purchase is: $20 × 1,000 = $20,000 You borrow $5,000 from your broker and invest $15,000 of your own funds. Your margin account starts out with equity of $15,000. a. (i) Equity increases to: ($22 × 1,000) − $5,000 = $17,000 Percentage gain = $2,000 ÷ $15,000 = 0.1333, or 13.33% (ii) With price unchanged, equity is unchanged. Percentage gain = zero (iii) Equity falls to ($18 × 1,000) − $5,000 = $13,000 Percentage gain = (−$2,000 ÷ $15,000) = −0.1333, or −13.33% The relationship between the percentage return and the percentage change (%Δ) in the price of the stock is given by: % return = %Δ in price × Total investment ÷ Investor's initial equity = %Δ in price × 1.333 For example, when the stock price rises from $20 to $22, the percentage change in price is 10%, while the percentage gain for the investor is: % return = 10% × $20,000 ÷ $15,000 = 13.33% b. The value of the 1,000 shares is 1,000 P . Equity is (1,000 P − $5,000). You will receive a margin call when: (1,000 × P − $5,000) ÷ 1,000 × P = 0.25 when P = $6.67 or lower c. The value of the 1,000 shares is 1,000 P . But now you have borrowed $10,000 instead of $5,000. Therefore, equity is (1,000 P − $10,000). You will receive a margin call when: (1,000 × P − $10,000) ÷ 1,000 × P = 0.25 when P = $13.33 or lower With less equity in the account, you are far more vulnerable to a margin call. d. By the end of the year, the amount of the loan owed to the broker grows to: $5,000 × 1.08 = $5,400 The equity in your account is (1,000 P − $5,400). Initial equity was $15,000. Therefore, your rate of return after one year is as follows: (i) ((1,000 × $22) − $5,400 − $15,000) ÷ $15,000 = 0.1067, or 10.67% (ii) ((1,000 × $20) − $5,400 − $15,000) ÷ $15,000 = −0.0267, or −2.67% (iii) ((1,000 × $18) − $5,400 − $15,000) ÷ $15,000 = −0.1600, or −16.00% The relationship between the percentage return and the percentage change in the price of Xtel is given by: For example, when the stock price rises from $40 to $44, the percentage change in price is 10%, while the percentage gain for the investor is: e. The value of the 1000 shares is 1,000 P . Equity is (1,000 P − $5,400). You will receive a margin call when: (1,000 × P − $5,400) ÷ 1,000 × P = 0.25 when P = $7.20 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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8. Award: 10.00 points Problems? Adjust credit for all students. Suppose that Xtel currently is selling at $20 per share. You buy 1,000 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%. Required: a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call? c. How would your answer to ( b ) change if you had financed the initial purchase with only $10,000 of your own money? d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after 1 year at: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? Assume that Xtel pays no dividends. e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call? Required A Required C Complete this question by entering your answers in the tabs below. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call? Note: Round your answer to 2 decimal places. Required A Required B Required C Required D Required E $ Margin call will be made at price 6.67 or lower Explanation: The total cost of the purchase is: $20 × 1,000 = $20,000 You borrow $5,000 from your broker and invest $15,000 of your own funds. Your margin account starts out with equity of $15,000. a. (i) Equity increases to: ($22 × 1,000) − $5,000 = $17,000 Percentage gain = $2,000 ÷ $15,000 = 0.1333, or 13.33% (ii) With price unchanged, equity is unchanged. Percentage gain = zero (iii) Equity falls to ($18 × 1,000) − $5,000 = $13,000 Percentage gain = (−$2,000 ÷ $15,000) = −0.1333, or −13.33% The relationship between the percentage return and the percentage change (%Δ) in the price of the stock is given by: % return = %Δ in price × Total investment ÷ Investor's initial equity = %Δ in price × 1.333 For example, when the stock price rises from $20 to $22, the percentage change in price is 10%, while the percentage gain for the investor is: % return = 10% × $20,000 ÷ $15,000 = 13.33% b. The value of the 1,000 shares is 1,000 P . Equity is (1,000 P − $5,000). You will receive a margin call when: (1,000 × P − $5,000) ÷ 1,000 × P = 0.25 when P = $6.67 or lower c. The value of the 1,000 shares is 1,000 P . But now you have borrowed $10,000 instead of $5,000. Therefore, equity is (1,000 P − $10,000). You will receive a margin call when: (1,000 × P − $10,000) ÷ 1,000 × P = 0.25 when P = $13.33 or lower With less equity in the account, you are far more vulnerable to a margin call. d. By the end of the year, the amount of the loan owed to the broker grows to: $5,000 × 1.08 = $5,400 The equity in your account is (1,000 P − $5,400). Initial equity was $15,000. Therefore, your rate of return after one year is as follows: (i) ((1,000 × $22) − $5,400 − $15,000) ÷ $15,000 = 0.1067, or 10.67% (ii) ((1,000 × $20) − $5,400 − $15,000) ÷ $15,000 = −0.0267, or −2.67% (iii) ((1,000 × $18) − $5,400 − $15,000) ÷ $15,000 = −0.1600, or −16.00% The relationship between the percentage return and the percentage change in the price of Xtel is given by: For example, when the stock price rises from $40 to $44, the percentage change in price is 10%, while the percentage gain for the investor is: e. The value of the 1000 shares is 1,000 P . Equity is (1,000 P − $5,400). You will receive a margin call when: (1,000 × P − $5,400) ÷ 1,000 × P = 0.25 when P = $7.20 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
8. Award: 10.00 points Problems? Adjust credit for all students. Suppose that Xtel currently is selling at $20 per share. You buy 1,000 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%. Required: a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call? c. How would your answer to ( b ) change if you had financed the initial purchase with only $10,000 of your own money? d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after 1 year at: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? Assume that Xtel pays no dividends. e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call? Required B Required D Complete this question by entering your answers in the tabs below. How would your answer to ( b ) change if you had financed the initial purchase with only $10,000 of your own money? Note: Round your answer to 2 decimal places. Required A Required B Required C Required D Required E $ Margin call will be made at price 13.33 or lower Explanation: The total cost of the purchase is: $20 × 1,000 = $20,000 You borrow $5,000 from your broker and invest $15,000 of your own funds. Your margin account starts out with equity of $15,000. a. (i) Equity increases to: ($22 × 1,000) − $5,000 = $17,000 Percentage gain = $2,000 ÷ $15,000 = 0.1333, or 13.33% (ii) With price unchanged, equity is unchanged. Percentage gain = zero (iii) Equity falls to ($18 × 1,000) − $5,000 = $13,000 Percentage gain = (−$2,000 ÷ $15,000) = −0.1333, or −13.33% The relationship between the percentage return and the percentage change (%Δ) in the price of the stock is given by: % return = %Δ in price × Total investment ÷ Investor's initial equity = %Δ in price × 1.333 For example, when the stock price rises from $20 to $22, the percentage change in price is 10%, while the percentage gain for the investor is: % return = 10% × $20,000 ÷ $15,000 = 13.33% b. The value of the 1,000 shares is 1,000 P . Equity is (1,000 P − $5,000). You will receive a margin call when: (1,000 × P − $5,000) ÷ 1,000 × P = 0.25 when P = $6.67 or lower c. The value of the 1,000 shares is 1,000 P . But now you have borrowed $10,000 instead of $5,000. Therefore, equity is (1,000 P − $10,000). You will receive a margin call when: (1,000 × P − $10,000) ÷ 1,000 × P = 0.25 when P = $13.33 or lower With less equity in the account, you are far more vulnerable to a margin call. d. By the end of the year, the amount of the loan owed to the broker grows to: $5,000 × 1.08 = $5,400 The equity in your account is (1,000 P − $5,400). Initial equity was $15,000. Therefore, your rate of return after one year is as follows: (i) ((1,000 × $22) − $5,400 − $15,000) ÷ $15,000 = 0.1067, or 10.67% (ii) ((1,000 × $20) − $5,400 − $15,000) ÷ $15,000 = −0.0267, or −2.67% (iii) ((1,000 × $18) − $5,400 − $15,000) ÷ $15,000 = −0.1600, or −16.00% The relationship between the percentage return and the percentage change in the price of Xtel is given by: For example, when the stock price rises from $40 to $44, the percentage change in price is 10%, while the percentage gain for the investor is: e. The value of the 1000 shares is 1,000 P . Equity is (1,000 P − $5,400). You will receive a margin call when: (1,000 × P − $5,400) ÷ 1,000 × P = 0.25 when P = $7.20 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
8. Award: 10.00 points Problems? Adjust credit for all students. Suppose that Xtel currently is selling at $20 per share. You buy 1,000 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%. Required: a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call? c. How would your answer to ( b ) change if you had financed the initial purchase with only $10,000 of your own money? d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after 1 year at: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? Assume that Xtel pays no dividends. e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call? Required C Required E Complete this question by entering your answers in the tabs below. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after 1 year at: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? Assume that Xtel pays no dividends. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. Required A Required B Required C Required D Required E Show less 1. Rate of return 10.67 % 2. Rate of return (2.67) % 3. Rate of return (16.00) % Explanation: The total cost of the purchase is: $20 × 1,000 = $20,000 You borrow $5,000 from your broker and invest $15,000 of your own funds. Your margin account starts out with equity of $15,000. a. (i) Equity increases to: ($22 × 1,000) − $5,000 = $17,000 Percentage gain = $2,000 ÷ $15,000 = 0.1333, or 13.33% (ii) With price unchanged, equity is unchanged. Percentage gain = zero (iii) Equity falls to ($18 × 1,000) − $5,000 = $13,000 Percentage gain = (−$2,000 ÷ $15,000) = −0.1333, or −13.33% The relationship between the percentage return and the percentage change (%Δ) in the price of the stock is given by: % return = %Δ in price × Total investment ÷ Investor's initial equity = %Δ in price × 1.333 For example, when the stock price rises from $20 to $22, the percentage change in price is 10%, while the percentage gain for the investor is: % return = 10% × $20,000 ÷ $15,000 = 13.33% b. The value of the 1,000 shares is 1,000 P . Equity is (1,000 P − $5,000). You will receive a margin call when: (1,000 × P − $5,000) ÷ 1,000 × P = 0.25 when P = $6.67 or lower c. The value of the 1,000 shares is 1,000 P . But now you have borrowed $10,000 instead of $5,000. Therefore, equity is (1,000 P − $10,000). You will receive a margin call when: (1,000 × P − $10,000) ÷ 1,000 × P = 0.25 when P = $13.33 or lower With less equity in the account, you are far more vulnerable to a margin call. d. By the end of the year, the amount of the loan owed to the broker grows to: $5,000 × 1.08 = $5,400 The equity in your account is (1,000 P − $5,400). Initial equity was $15,000. Therefore, your rate of return after one year is as follows: (i) ((1,000 × $22) − $5,400 − $15,000) ÷ $15,000 = 0.1067, or 10.67% (ii) ((1,000 × $20) − $5,400 − $15,000) ÷ $15,000 = −0.0267, or −2.67% (iii) ((1,000 × $18) − $5,400 − $15,000) ÷ $15,000 = −0.1600, or −16.00% The relationship between the percentage return and the percentage change in the price of Xtel is given by: For example, when the stock price rises from $40 to $44, the percentage change in price is 10%, while the percentage gain for the investor is: e. The value of the 1000 shares is 1,000 P . Equity is (1,000 P − $5,400). You will receive a margin call when: (1,000 × P − $5,400) ÷ 1,000 × P = 0.25 when P = $7.20 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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8. Award: 10.00 points Problems? Adjust credit for all students. Suppose that Xtel currently is selling at $20 per share. You buy 1,000 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%. Required: a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call? c. How would your answer to ( b ) change if you had financed the initial purchase with only $10,000 of your own money? d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after 1 year at: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? Assume that Xtel pays no dividends. e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call? Required D Required E Complete this question by entering your answers in the tabs below. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call? Note: Round your answer to 2 decimal places. Required A Required B Required C Required D Required E $ Margin call will be made at price 7.20 or lower Explanation: The total cost of the purchase is: $20 × 1,000 = $20,000 You borrow $5,000 from your broker and invest $15,000 of your own funds. Your margin account starts out with equity of $15,000. a. (i) Equity increases to: ($22 × 1,000) − $5,000 = $17,000 Percentage gain = $2,000 ÷ $15,000 = 0.1333, or 13.33% (ii) With price unchanged, equity is unchanged. Percentage gain = zero (iii) Equity falls to ($18 × 1,000) − $5,000 = $13,000 Percentage gain = (−$2,000 ÷ $15,000) = −0.1333, or −13.33% The relationship between the percentage return and the percentage change (%Δ) in the price of the stock is given by: % return = %Δ in price × Total investment ÷ Investor's initial equity = %Δ in price × 1.333 For example, when the stock price rises from $20 to $22, the percentage change in price is 10%, while the percentage gain for the investor is: % return = 10% × $20,000 ÷ $15,000 = 13.33% b. The value of the 1,000 shares is 1,000 P . Equity is (1,000 P − $5,000). You will receive a margin call when: (1,000 × P − $5,000) ÷ 1,000 × P = 0.25 when P = $6.67 or lower c. The value of the 1,000 shares is 1,000 P . But now you have borrowed $10,000 instead of $5,000. Therefore, equity is (1,000 P − $10,000). You will receive a margin call when: (1,000 × P − $10,000) ÷ 1,000 × P = 0.25 when P = $13.33 or lower With less equity in the account, you are far more vulnerable to a margin call. d. By the end of the year, the amount of the loan owed to the broker grows to: $5,000 × 1.08 = $5,400 The equity in your account is (1,000 P − $5,400). Initial equity was $15,000. Therefore, your rate of return after one year is as follows: (i) ((1,000 × $22) − $5,400 − $15,000) ÷ $15,000 = 0.1067, or 10.67% (ii) ((1,000 × $20) − $5,400 − $15,000) ÷ $15,000 = −0.0267, or −2.67% (iii) ((1,000 × $18) − $5,400 − $15,000) ÷ $15,000 = −0.1600, or −16.00% The relationship between the percentage return and the percentage change in the price of Xtel is given by: For example, when the stock price rises from $40 to $44, the percentage change in price is 10%, while the percentage gain for the investor is: e. The value of the 1000 shares is 1,000 P . Equity is (1,000 P − $5,400). You will receive a margin call when: (1,000 × P − $5,400) ÷ 1,000 × P = 0.25 when P = $7.20 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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9. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you sell short 1,000 shares of Xtel, currently selling for $20 per share, and give your broker $15,000 to establish your margin account. Required: 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) $22; (ii) $20; (iii) $18? Assume that Xtel pays no dividends. b. If the maintenance margin is 25%, how high can Xtel’s price rise before you get a margin call? c. Redo parts ( a ) and ( b ), but now assume that Xtel also has paid a year-end dividend of $1 per share. The prices in part ( a ) should be interpreted as ex-dividend, that is, prices after the dividend has been paid. Required A Required B Complete this question by entering your answers in the tabs below. 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) $22; (ii) $20; (iii) $18? Assume that Xtel pays no dividends. Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. Required A Required B Required C Show less 1. Rate of return (13.33) % 2. Rate of return 0 % 3. Rate of return 13.33 % Explanation: a. The gain or loss on the short position is: (−1,000 × Δ P ) Invested funds = $15,000 Therefore: rate of return = (−1,000 × Δ P ) ÷ 15,000 The rate of return in each of the three scenarios is: (i) Rate of return = (−1,000 × $2) ÷ $15,000 = −0.1333 = −13.33% (ii) Rate of return = (−1,000 × $0) ÷ $15,000 = 0% (iii) Rate of return = [−1,000 × (−$2)] ÷ $15,000 = +0.1333 = 13.33% b. Total assets in the margin account equal: $20,000 (from the sale of the stock) + $15,000 (the initial margin) = $35,000 Liabilities are 1,000 P . You will receive a margin call when: ($35,000 − 1,000 P ) ÷ 1,000 P = 0.25 when P = $28 or higher c. With a $1 dividend, the short position must now pay on the borrowed shares: ($1 per share × 1,000 shares) = $1,000. Rate of return is now: [(−1,000 × Δ P ) − $1,000] ÷ 15,000 (i) Rate of return = [−1,000 × $2 − $1,000] ÷ $15,000 = −0.2000 = −20.00% (ii) Rate of return = [−1,000 × $0 − $1,000] ÷ $15,000 = −0.0667 = −6.67% (iii) Rate of return = [−1,000 × (−$2) − $1,000] ÷ $15,000 = +0.067 = 6.67% Total assets are $35,000, and liabilities are (1,000 P + $1,000). A margin call will be issued when: ($35,000 − 1,000 P − $1,000) ÷ 1,000 P = 0.25 when P = $27.20 or higher Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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9. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you sell short 1,000 shares of Xtel, currently selling for $20 per share, and give your broker $15,000 to establish your margin account. Required: 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) $22; (ii) $20; (iii) $18? Assume that Xtel pays no dividends. b. If the maintenance margin is 25%, how high can Xtel’s price rise before you get a margin call? c. Redo parts ( a ) and ( b ), but now assume that Xtel also has paid a year-end dividend of $1 per share. The prices in part ( a ) should be interpreted as ex-dividend, that is, prices after the dividend has been paid. Required A Required C Complete this question by entering your answers in the tabs below. If the maintenance margin is 25%, how high can Xtel’s price rise before you get a margin call? Required A Required B Required C $ Margin call will be made at price 28 or higher Explanation: a. The gain or loss on the short position is: (−1,000 × Δ P ) Invested funds = $15,000 Therefore: rate of return = (−1,000 × Δ P ) ÷ 15,000 The rate of return in each of the three scenarios is: (i) Rate of return = (−1,000 × $2) ÷ $15,000 = −0.1333 = −13.33% (ii) Rate of return = (−1,000 × $0) ÷ $15,000 = 0% (iii) Rate of return = [−1,000 × (−$2)] ÷ $15,000 = +0.1333 = 13.33% b. Total assets in the margin account equal: $20,000 (from the sale of the stock) + $15,000 (the initial margin) = $35,000 Liabilities are 1,000 P . You will receive a margin call when: ($35,000 − 1,000 P ) ÷ 1,000 P = 0.25 when P = $28 or higher c. With a $1 dividend, the short position must now pay on the borrowed shares: ($1 per share × 1,000 shares) = $1,000. Rate of return is now: [(−1,000 × Δ P ) − $1,000] ÷ 15,000 (i) Rate of return = [−1,000 × $2 − $1,000] ÷ $15,000 = −0.2000 = −20.00% (ii) Rate of return = [−1,000 × $0 − $1,000] ÷ $15,000 = −0.0667 = −6.67% (iii) Rate of return = [−1,000 × (−$2) − $1,000] ÷ $15,000 = +0.067 = 6.67% Total assets are $35,000, and liabilities are (1,000 P + $1,000). A margin call will be issued when: ($35,000 − 1,000 P − $1,000) ÷ 1,000 P = 0.25 when P = $27.20 or higher Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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9. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you sell short 1,000 shares of Xtel, currently selling for $20 per share, and give your broker $15,000 to establish your margin account. Required: 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) $22; (ii) $20; (iii) $18? Assume that Xtel pays no dividends. b. If the maintenance margin is 25%, how high can Xtel’s price rise before you get a margin call? c. Redo parts ( a ) and ( b ), but now assume that Xtel also has paid a year-end dividend of $1 per share. The prices in part ( a ) should be interpreted as ex-dividend, that is, prices after the dividend has been paid. Required B Required C Complete this question by entering your answers in the tabs below. Redo parts ( a ) and ( b ), but now assume that Xtel also has paid a year-end dividend of $1 per share. The prices in part ( a ) should be interpreted as ex-dividend, that is, prices after the dividend has been paid. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. Required A Required B Required C $ 1. Rate of return (20.00) % 2. Rate of return (6.67) % 3. Rate of return 6.67 % Margin call will be made at price 27.20 or higher Explanation: a. The gain or loss on the short position is: (−1,000 × Δ P ) Invested funds = $15,000 Therefore: rate of return = (−1,000 × Δ P ) ÷ 15,000 The rate of return in each of the three scenarios is: (i) Rate of return = (−1,000 × $2) ÷ $15,000 = −0.1333 = −13.33% (ii) Rate of return = (−1,000 × $0) ÷ $15,000 = 0% (iii) Rate of return = [−1,000 × (−$2)] ÷ $15,000 = +0.1333 = 13.33% b. Total assets in the margin account equal: $20,000 (from the sale of the stock) + $15,000 (the initial margin) = $35,000 Liabilities are 1,000 P . You will receive a margin call when: ($35,000 − 1,000 P ) ÷ 1,000 P = 0.25 when P = $28 or higher c. With a $1 dividend, the short position must now pay on the borrowed shares: ($1 per share × 1,000 shares) = $1,000. Rate of return is now: [(−1,000 × Δ P ) − $1,000] ÷ 15,000 (i) Rate of return = [−1,000 × $2 − $1,000] ÷ $15,000 = −0.2000 = −20.00% (ii) Rate of return = [−1,000 × $0 − $1,000] ÷ $15,000 = −0.0667 = −6.67% (iii) Rate of return = [−1,000 × (−$2) − $1,000] ÷ $15,000 = +0.067 = 6.67% Total assets are $35,000, and liabilities are (1,000 P + $1,000). A margin call will be issued when: ($35,000 − 1,000 P − $1,000) ÷ 1,000 P = 0.25 when P = $27.20 or higher Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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10. Award: 10.00 points Problems? Adjust credit for all students. Here is some price information on Marabel, Incorporated: Bid Ask Marabel 69.95 70.05 You have placed a stop-loss order to sell at $70. Required: What are you telling your broker? To attempt to sell the stock as soon as the stock trades at a bid price of $70 or less. Explanation: The broker is instructed to attempt to sell your Marabel, Incorporated stock as soon as the Marabel, Incorporated stock trades at a bid price of $70 or less. Here, the broker will attempt to execute but may not be able to sell at $70, since the bid price is now $69.95. The price at which you sell may be more or less than $70 because the stop-loss becomes a market order to sell at current market prices. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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11. Award: 10.00 points Problems? Adjust credit for all students. Here is some price information on Fincorp stock. Suppose that Fincorp trades in a dealer market. Bid Ask 55.25 55.50 Required: a. Suppose you have submitted an order to your broker to buy at market. At what price will your trade be executed? b. Suppose you have submitted an order to sell at market. At what price will your trade be executed? c. Suppose you have submitted a limit order to sell at $55.62. What will happen? d. Suppose you have submitted a limit order to buy at $55.37. What will happen? Required A Required B Complete this question by entering your answers in the tabs below. Suppose you have submitted an order to your broker to buy at market. At what price will your trade be executed? Note: Round your answer to 2 decimal places. Required A Required B Required C Required D $ Price 55.50 Explanation: c. The trade will not be executed because the bid price is lower than the price specified in the limit-sell order. d. The trade will not be executed because the asked price is greater than the price specified in the limit-buy order. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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11. Award: 10.00 points Problems? Adjust credit for all students. Here is some price information on Fincorp stock. Suppose that Fincorp trades in a dealer market. Bid Ask 55.25 55.50 Required: a. Suppose you have submitted an order to your broker to buy at market. At what price will your trade be executed? b. Suppose you have submitted an order to sell at market. At what price will your trade be executed? c. Suppose you have submitted a limit order to sell at $55.62. What will happen? d. Suppose you have submitted a limit order to buy at $55.37. What will happen? Required A Required C Complete this question by entering your answers in the tabs below. Suppose you have submitted an order to sell at market. At what price will your trade be executed? Note: Round your answer to 2 decimal places. Required A Required B Required C Required D $ Price 55.25 Explanation: c. The trade will not be executed because the bid price is lower than the price specified in the limit-sell order. d. The trade will not be executed because the asked price is greater than the price specified in the limit-buy order. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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11. Award: 10.00 points Problems? Adjust credit for all students. Here is some price information on Fincorp stock. Suppose that Fincorp trades in a dealer market. Bid Ask 55.25 55.50 Required: a. Suppose you have submitted an order to your broker to buy at market. At what price will your trade be executed? b. Suppose you have submitted an order to sell at market. At what price will your trade be executed? c. Suppose you have submitted a limit order to sell at $55.62. What will happen? d. Suppose you have submitted a limit order to buy at $55.37. What will happen? Required B Required D Complete this question by entering your answers in the tabs below. Suppose you have submitted a limit order to sell at $55.62. What will happen? Required A Required B Required C Required D Suppose you have submitted a limit order to sell at $55.62. What will happen? The trade will not be executed. Explanation: c. The trade will not be executed because the bid price is lower than the price specified in the limit-sell order. d. The trade will not be executed because the asked price is greater than the price specified in the limit-buy order. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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11. Award: 10.00 points Problems? Adjust credit for all students. Here is some price information on Fincorp stock. Suppose that Fincorp trades in a dealer market. Bid Ask 55.25 55.50 Required: a. Suppose you have submitted an order to your broker to buy at market. At what price will your trade be executed? b. Suppose you have submitted an order to sell at market. At what price will your trade be executed? c. Suppose you have submitted a limit order to sell at $55.62. What will happen? d. Suppose you have submitted a limit order to buy at $55.37. What will happen? Required C Required D Complete this question by entering your answers in the tabs below. Suppose you have submitted a limit order to buy at $55.37. What will happen? Required A Required B Required C Required D Suppose you have submitted a limit order to buy at $55.37. What will happen? The trade will not be executed. Explanation: c. The trade will not be executed because the bid price is lower than the price specified in the limit-sell order. d. The trade will not be executed because the asked price is greater than the price specified in the limit-buy order. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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12. Award: 10.00 points Problems? Adjust credit for all students. You’ve borrowed $20,000 on margin to buy shares in Ixnay, which is now selling at $40 per share. Your account starts at the initial margin requirement of 50%. The maintenance margin is 35%. Two days later, the stock price falls to $35 per share. Required: a. Will you receive a margin call? b. How low can the price of Ixnay shares fall before you receive a margin call? Required A Required B Complete this question by entering your answers in the tabs below. Will you receive a margin call? Required A Required B Will you receive a margin call? No Explanation: a. You will not receive a margin call. You borrowed $20,000 and with another $20,000 of your own equity you bought 1,000 shares of Ixnay at $40 per share. At $35 per share, the market value of the stock is $35,000, your equity is $15,000, and the percentage margin is: $15,000 ÷ $35,000 = 42.9%. Your percentage margin exceeds the required maintenance margin. b. You will receive a margin call when: (1000 × P − $20,000) ÷ 1000 × P = 0.35 when P = $30.77 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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12. Award: 10.00 points Problems? Adjust credit for all students. You’ve borrowed $20,000 on margin to buy shares in Ixnay, which is now selling at $40 per share. Your account starts at the initial margin requirement of 50%. The maintenance margin is 35%. Two days later, the stock price falls to $35 per share. Required: a. Will you receive a margin call? b. How low can the price of Ixnay shares fall before you receive a margin call? Required A Required B Complete this question by entering your answers in the tabs below. How low can the price of Ixnay shares fall before you receive a margin call? Note: Round your answer to 2 decimal places. Required A Required B $ Margin call will be made at price 30.77 or lower Explanation: a. You will not receive a margin call. You borrowed $20,000 and with another $20,000 of your own equity you bought 1,000 shares of Ixnay at $40 per share. At $35 per share, the market value of the stock is $35,000, your equity is $15,000, and the percentage margin is: $15,000 ÷ $35,000 = 42.9%. Your percentage margin exceeds the required maintenance margin. b. You will receive a margin call when: (1000 × P − $20,000) ÷ 1000 × P = 0.35 when P = $30.77 or lower Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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13. Award: 10.00 points Problems? Adjust credit for all students. On January 1, you sold short one round lot (i.e., 100 shares) of Four Sisters stock at $21 per share. On March 1, a dividend of $2 per share was paid. On April 1, you covered the short sale by buying the stock at a price of $15 per share. You paid 50 cents per share in commissions for each transaction. Required: What is the value of your account on April 1? $ Account value 300 Explanation: The proceeds from the short sale (net of commission) were: ($21 × 100) − $50 = $2,050 A dividend payment of $200 was withdrawn from the account. Covering the short sale at $15 per share (with commission): ($15 × 100) + $50 = $1,550 Therefore, the value of your account is equal to the net profit on the transaction: $2,050 − $200 − $1,550 = $300 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Problems - Algorithmic & Static References
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14. Award: 10.00 points Problems? Adjust credit for all students. ByLine, Incorporated just sold 800,000 shares in a public offering for an offering price of $26 per share.The underwriting fee was 8.00% of the issue’s total value based on the offering price. As soon as the shares were issued, the price jumped to $38 per share. Required: What are the explicit, implicit, and total costs of the issue? Note: Round your answer to the nearest dollar. $ $ $ a. Explicit cost 1,664,000 b. Implicit cost 9,600,000 c. Total cost 11,264,000 Explanation: a. The explicit cost is 8.00% × 800,000 shares × $26 per share = $1,664,000. b. Because the price jumped by $12 per share immediately after issue, the amount of the issue’s value “left on the table,” or its implicit cost, is $12 per share × 800,000 shares = $9,600,000. c. The total cost $9,600,000 + $1,664,000 = $11,264,000. Notably, the implicit costs are much higher than the explicit cost. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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15. Award: 10.00 points Problems? Adjust credit for all students. The Arizona Stock Exchange lists a bid price of 1.24 and an ask price of 1.45 for Kicking Bird Energy Corporation. Required: a. At what price can you buy the stock? b. What is the dealer’s bid-ask spread? Required A Required B Complete this question by entering your answers in the tabs below. At what price can you buy the stock? Note: Round your answer to 2 decimal places. Required A Required B $ Ask price 1.45 Explanation: a. You can buy the stock at the ask price of $1.45. b. The dealer’s bid-ask spread is $1.45 − 1.24 = $0.21. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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15. Award: 10.00 points Problems? Adjust credit for all students. The Arizona Stock Exchange lists a bid price of 1.24 and an ask price of 1.45 for Kicking Bird Energy Corporation. Required: a. At what price can you buy the stock? b. What is the dealer’s bid-ask spread? Required A Required B Complete this question by entering your answers in the tabs below. What is the dealer’s bid-ask spread? Note: Input the amount as a positive value. Round your answer to 2 decimal places. Required A Required B $ Bid-ask spread 0.21 Explanation: a. You can buy the stock at the ask price of $1.45. b. The dealer’s bid-ask spread is $1.45 − 1.24 = $0.21. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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16. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just purchased 250 shares of Talk&Tell stock for $70 per share. Required: a. If the initial margin requirement is 76.50%, how much money must you borrow? b. Construct the balance sheet that corresponds to the transaction. Required A Required B Complete this question by entering your answers in the tabs below. If the initial margin requirement is 76.50%, how much money must you borrow? Required A Required B $ Amount borrowed 4,113 Explanation: a. You must borrow (1 − 0.765) × $70 per share × 250 shares = $4,113 b. The balance sheet would show assets equal to $70 per share × 250 shares = $17,500. The required margin equals 76.50% of the stock’s value, or 0.765 × $17,500 = $13,388. The amount you borrow from the broker, your liability, is 23.50% of the stock’s value, or 0.235 × $17,500 = $4,112.50. Alternatively, your liability is the total value minus your equity, or $17,500 – 13,388 = $4,112.50. The balance sheet looks like the one below: Assets Liabilities and Equity Stock $ 17,500 Loan from broker $ 4,113 Equity $ 13,388 Total assets $ 17,500 Total liabilities and equity $ 17,500 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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16. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just purchased 250 shares of Talk&Tell stock for $70 per share. Required: a. If the initial margin requirement is 76.50%, how much money must you borrow? b. Construct the balance sheet that corresponds to the transaction. Required A Required B Complete this question by entering your answers in the tabs below. Construct the balance sheet that corresponds to the transaction. Required A Required B $ $ $ $ $ Assets Liabilities and Equity Stock 17,500 Loan from broker 4,113 Equity 13,388 Total assets 17,500 Total liabilities and equity 17,500 Explanation: a. You must borrow (1 − 0.765) × $70 per share × 250 shares = $4,113 b. The balance sheet would show assets equal to $70 per share × 250 shares = $17,500. The required margin equals 76.50% of the stock’s value, or 0.765 × $17,500 = $13,388. The amount you borrow from the broker, your liability, is 23.50% of the stock’s value, or 0.235 × $17,500 = $4,112.50. Alternatively, your liability is the total value minus your equity, or $17,500 – 13,388 = $4,112.50. The balance sheet looks like the one below: Assets Liabilities and Equity Stock $ 17,500 Loan from broker $ 4,113 Equity $ 13,388 Total assets $ 17,500 Total liabilities and equity $ 17,500 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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17. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just purchased 200 shares of Beta Banana’s stock for $60 per share. The initial margin requirement is 65.5%, which means the amount borrowed is $4,140. The corresponding balance sheet is below: Assets Liabilities and Equity Stock $ 12,000.00 Loan from broker $ 4,140.00 Equity $ 7,860.00 Total assets 12,000.00 Total liabilities and equity $ 12,000.00 Required: a. Now suppose the price of the stock falls to $37 per share. What is your current margin percentage? b. Construct the balance sheet to show the current situation. c. If the maintenance margin is 40%, what is the highest stock price that will trigger a margin call? Required A Required B Complete this question by entering your answers in the tabs below. Now suppose the price of the stock falls to $37 per share. What is your current margin percentage? Note: Round your answer to 2 decimal places. Required A Required B Required C Margin percentage 44.05 Explanation: a. Note that no matter what happens to the price of the stock, the amount you owe the broker won’t change.When the stock’s price changes, the asset’s value and the equity will change. If the price of the stock falls to $37 per share, the asset has a total value of $37 × 200 = $7,400. Since you still have a liability of $4,140, your equity is now $7,400 – 4,140.00 = $3,260.00. Your margin percentage equals equity divided by market value, or $3,260 ÷ $7,400 = 44.05%. b. Assets Liabilities and Equity Stock $ 7,400.00 Loan from broker $ 4,140.00 Equity $ 3,260.00 Total assets $ 7,400.00 Total liabilities and equity $ 7,400.00 c. You will get a margin call if the stock reaches or falls below the point where your margin is 40%. The margin percentage equals equity divided by market value. Expressing these in terms of the stock’s price: Market value = 100 × P Equity = Market value – Liability = 200 × P – 4,140.00 Margin = [200 × P – 4,140.00] ÷ 200 × P = 0.40 Solving for P : 200 × P – 4,140.00 = 40 × P −4,140.00 = − 66 × P P = −4,140.00 ÷ −66 = 34.50 When the price falls to $34.50 per share or below, you will get a margin call because your equity (margin) will be 40% or less. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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17. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just purchased 200 shares of Beta Banana’s stock for $60 per share. The initial margin requirement is 65.5%, which means the amount borrowed is $4,140. The corresponding balance sheet is below: Assets Liabilities and Equity Stock $ 12,000.00 Loan from broker $ 4,140.00 Equity $ 7,860.00 Total assets 12,000.00 Total liabilities and equity $ 12,000.00 Required: a. Now suppose the price of the stock falls to $37 per share. What is your current margin percentage? b. Construct the balance sheet to show the current situation. c. If the maintenance margin is 40%, what is the highest stock price that will trigger a margin call? Required A Required C Complete this question by entering your answers in the tabs below. Construct the balance sheet to show the current situation. Note: Round your answer to 2 decimal places. Required A Required B Required C $ $ $ $ $ Assets Liabilities and Equity Stock 7,400.00 Loan from broker 4,140.00 Equity 3,260.00 Total assets 7,400.00 Total liabilities and equity 7,400.00 Explanation: a. Note that no matter what happens to the price of the stock, the amount you owe the broker won’t change.When the stock’s price changes, the asset’s value and the equity will change. If the price of the stock falls to $37 per share, the asset has a total value of $37 × 200 = $7,400. Since you still have a liability of $4,140, your equity is now $7,400 – 4,140.00 = $3,260.00. Your margin percentage equals equity divided by market value, or $3,260 ÷ $7,400 = 44.05%. b. Assets Liabilities and Equity Stock $ 7,400.00 Loan from broker $ 4,140.00 Equity $ 3,260.00 Total assets $ 7,400.00 Total liabilities and equity $ 7,400.00 c. You will get a margin call if the stock reaches or falls below the point where your margin is 40%. The margin percentage equals equity divided by market value. Expressing these in terms of the stock’s price: Market value = 100 × P Equity = Market value – Liability = 200 × P – 4,140.00 Margin = [200 × P – 4,140.00] ÷ 200 × P = 0.40 Solving for P : 200 × P – 4,140.00 = 40 × P −4,140.00 = − 66 × P P = −4,140.00 ÷ −66 = 34.50 When the price falls to $34.50 per share or below, you will get a margin call because your equity (margin) will be 40% or less. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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17. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just purchased 200 shares of Beta Banana’s stock for $60 per share. The initial margin requirement is 65.5%, which means the amount borrowed is $4,140. The corresponding balance sheet is below: Assets Liabilities and Equity Stock $ 12,000.00 Loan from broker $ 4,140.00 Equity $ 7,860.00 Total assets 12,000.00 Total liabilities and equity $ 12,000.00 Required: a. Now suppose the price of the stock falls to $37 per share. What is your current margin percentage? b. Construct the balance sheet to show the current situation. c. If the maintenance margin is 40%, what is the highest stock price that will trigger a margin call? Required B Required C Complete this question by entering your answers in the tabs below. If the maintenance margin is 40%, what is the highest stock price that will trigger a margin call? Note: Round your answer to 2 decimal places. Required A Required B Required C $ Price 34.50 Explanation: a. Note that no matter what happens to the price of the stock, the amount you owe the broker won’t change.When the stock’s price changes, the asset’s value and the equity will change. If the price of the stock falls to $37 per share, the asset has a total value of $37 × 200 = $7,400. Since you still have a liability of $4,140, your equity is now $7,400 – 4,140.00 = $3,260.00. Your margin percentage equals equity divided by market value, or $3,260 ÷ $7,400 = 44.05%. b. Assets Liabilities and Equity Stock $ 7,400.00 Loan from broker $ 4,140.00 Equity $ 3,260.00 Total assets $ 7,400.00 Total liabilities and equity $ 7,400.00 c. You will get a margin call if the stock reaches or falls below the point where your margin is 40%. The margin percentage equals equity divided by market value. Expressing these in terms of the stock’s price: Market value = 100 × P Equity = Market value – Liability = 200 × P – 4,140.00 Margin = [200 × P – 4,140.00] ÷ 200 × P = 0.40 Solving for P : 200 × P – 4,140.00 = 40 × P −4,140.00 = − 66 × P P = −4,140.00 ÷ −66 = 34.50 When the price falls to $34.50 per share or below, you will get a margin call because your equity (margin) will be 40% or less. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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18. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just short sold 100 shares of Quiet Minds stock for $97.00 per share. Required: a. If the initial margin requirement is 75%, how much equity must you invest? b. Construct the balance sheet that corresponds to the transaction. c. Now suppose the price of the stock falls to $89 per share. What is your current margin percentage? d. The maintenance margin is 50%. What is the lowest price that will trigger a margin call? Required A Required B Complete this question by entering your answers in the tabs below. If the initial margin requirement is 75%, how much equity must you invest? Note: Round your answer to the nearest dollar. Required A Required B Required C Required D $ Equity 7,275 Explanation: a. The amount of equity you invest will equal $9,700 × 0.80 = $7,275. b. The balance sheet would show assets equal to the amount of cash you received from the short sale ($97 per share × 100 shares = $9,700) plus the amount of cash (or T-bills) you put up as margin ($9,700 × 0.80 = $7,275 for an initial margin percentage of 75%). Assets Liabilities and Equity Cash $ 9,700 Short position (100 shares) $ 9,700 T-bills $ 7,275 Equity $ 7,275 Total assets $ 16,975 Total liabilities and equity $ 16,975 c. Note that no matter what happens to the price of the stock, the amount you received for the short sale ($9,700) and the amount you put up as initial margin ($7,275) won’t change. When the stock’s price changes, the liability’s value (100 × P ) and the equity will change. Equity is a plug figure that equals total assets ($16,975) minus the amount of the liability. If the price of the stock falls to $89 per share, the value of total assets stays at $16,975. The value of the liability is 100 × $89 = $8,900. Equity equals total assets minus liabilities = $16,975 – 8,900 = $8,075. Your margin percentage equals equity divided by market value, or $8,075 ÷ $8,900 = 90.73%. d. You will get a margin call if the stock reaches or falls below the point where your margin is 50%. The margin percentage equals equity divided by market value. Expressing these in terms of the stock’s price: Market value = 100 × P Equity = 16,975 – Liability = 16,975 – 100 × P Margin = [11,315 – 100 × P ] ÷ 100 × P = 0.50 Solving for P : 16,975 – 100 × P = 50 × P 16,975 = 150 × P P = 16,975 ÷ 150 = 113.17 When the price rises to $113.17 per share or above, you will get a margin call because your equity (margin) will be 50% or less. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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18. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just short sold 100 shares of Quiet Minds stock for $97.00 per share. Required: a. If the initial margin requirement is 75%, how much equity must you invest? b. Construct the balance sheet that corresponds to the transaction. c. Now suppose the price of the stock falls to $89 per share. What is your current margin percentage? d. The maintenance margin is 50%. What is the lowest price that will trigger a margin call? Required A Required C Complete this question by entering your answers in the tabs below. Construct the balance sheet that corresponds to the transaction. Required A Required B Required C Required D $ $ $ $ $ $ Assets Liabilities and Equity Stock 9,700 Short position (100 shares) 9,700 T-bills 7,275 Equity 7,275 Total assets 16,975 Total liabilities and equity 16,975 Explanation: a. The amount of equity you invest will equal $9,700 × 0.80 = $7,275. b. The balance sheet would show assets equal to the amount of cash you received from the short sale ($97 per share × 100 shares = $9,700) plus the amount of cash (or T-bills) you put up as margin ($9,700 × 0.80 = $7,275 for an initial margin percentage of 75%). Assets Liabilities and Equity Cash $ 9,700 Short position (100 shares) $ 9,700 T-bills $ 7,275 Equity $ 7,275 Total assets $ 16,975 Total liabilities and equity $ 16,975 c. Note that no matter what happens to the price of the stock, the amount you received for the short sale ($9,700) and the amount you put up as initial margin ($7,275) won’t change. When the stock’s price changes, the liability’s value (100 × P ) and the equity will change. Equity is a plug figure that equals total assets ($16,975) minus the amount of the liability. If the price of the stock falls to $89 per share, the value of total assets stays at $16,975. The value of the liability is 100 × $89 = $8,900. Equity equals total assets minus liabilities = $16,975 – 8,900 = $8,075. Your margin percentage equals equity divided by market value, or $8,075 ÷ $8,900 = 90.73%. d. You will get a margin call if the stock reaches or falls below the point where your margin is 50%. The margin percentage equals equity divided by market value. Expressing these in terms of the stock’s price: Market value = 100 × P Equity = 16,975 – Liability = 16,975 – 100 × P Margin = [11,315 – 100 × P ] ÷ 100 × P = 0.50 Solving for P : 16,975 – 100 × P = 50 × P 16,975 = 150 × P P = 16,975 ÷ 150 = 113.17 When the price rises to $113.17 per share or above, you will get a margin call because your equity (margin) will be 50% or less. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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18. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just short sold 100 shares of Quiet Minds stock for $97.00 per share. Required: a. If the initial margin requirement is 75%, how much equity must you invest? b. Construct the balance sheet that corresponds to the transaction. c. Now suppose the price of the stock falls to $89 per share. What is your current margin percentage? d. The maintenance margin is 50%. What is the lowest price that will trigger a margin call? Required B Required D Complete this question by entering your answers in the tabs below. Now suppose the price of the stock falls to $89 per share. What is your current margin percentage? Note: Round your answer to 2 decimal places. Required A Required B Required C Required D Margin percentage 90.73 Explanation: a. The amount of equity you invest will equal $9,700 × 0.80 = $7,275. b. The balance sheet would show assets equal to the amount of cash you received from the short sale ($97 per share × 100 shares = $9,700) plus the amount of cash (or T-bills) you put up as margin ($9,700 × 0.80 = $7,275 for an initial margin percentage of 75%). Assets Liabilities and Equity Cash $ 9,700 Short position (100 shares) $ 9,700 T-bills $ 7,275 Equity $ 7,275 Total assets $ 16,975 Total liabilities and equity $ 16,975 c. Note that no matter what happens to the price of the stock, the amount you received for the short sale ($9,700) and the amount you put up as initial margin ($7,275) won’t change. When the stock’s price changes, the liability’s value (100 × P ) and the equity will change. Equity is a plug figure that equals total assets ($16,975) minus the amount of the liability. If the price of the stock falls to $89 per share, the value of total assets stays at $16,975. The value of the liability is 100 × $89 = $8,900. Equity equals total assets minus liabilities = $16,975 – 8,900 = $8,075. Your margin percentage equals equity divided by market value, or $8,075 ÷ $8,900 = 90.73%. d. You will get a margin call if the stock reaches or falls below the point where your margin is 50%. The margin percentage equals equity divided by market value. Expressing these in terms of the stock’s price: Market value = 100 × P Equity = 16,975 – Liability = 16,975 – 100 × P Margin = [11,315 – 100 × P ] ÷ 100 × P = 0.50 Solving for P : 16,975 – 100 × P = 50 × P 16,975 = 150 × P P = 16,975 ÷ 150 = 113.17 When the price rises to $113.17 per share or above, you will get a margin call because your equity (margin) will be 50% or less. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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18. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you just short sold 100 shares of Quiet Minds stock for $97.00 per share. Required: a. If the initial margin requirement is 75%, how much equity must you invest? b. Construct the balance sheet that corresponds to the transaction. c. Now suppose the price of the stock falls to $89 per share. What is your current margin percentage? d. The maintenance margin is 50%. What is the lowest price that will trigger a margin call? Required C Required D Complete this question by entering your answers in the tabs below. The maintenance margin is 50%. What is the lowest price that will trigger a margin call? Note: Round your answer to 2 decimal places. Required A Required B Required C Required D $ Stock price 113.17 Explanation: a. The amount of equity you invest will equal $9,700 × 0.80 = $7,275. b. The balance sheet would show assets equal to the amount of cash you received from the short sale ($97 per share × 100 shares = $9,700) plus the amount of cash (or T-bills) you put up as margin ($9,700 × 0.80 = $7,275 for an initial margin percentage of 75%). Assets Liabilities and Equity Cash $ 9,700 Short position (100 shares) $ 9,700 T-bills $ 7,275 Equity $ 7,275 Total assets $ 16,975 Total liabilities and equity $ 16,975 c. Note that no matter what happens to the price of the stock, the amount you received for the short sale ($9,700) and the amount you put up as initial margin ($7,275) won’t change. When the stock’s price changes, the liability’s value (100 × P ) and the equity will change. Equity is a plug figure that equals total assets ($16,975) minus the amount of the liability. If the price of the stock falls to $89 per share, the value of total assets stays at $16,975. The value of the liability is 100 × $89 = $8,900. Equity equals total assets minus liabilities = $16,975 – 8,900 = $8,075. Your margin percentage equals equity divided by market value, or $8,075 ÷ $8,900 = 90.73%. d. You will get a margin call if the stock reaches or falls below the point where your margin is 50%. The margin percentage equals equity divided by market value. Expressing these in terms of the stock’s price: Market value = 100 × P Equity = 16,975 – Liability = 16,975 – 100 × P Margin = [11,315 – 100 × P ] ÷ 100 × P = 0.50 Solving for P : 16,975 – 100 × P = 50 × P 16,975 = 150 × P P = 16,975 ÷ 150 = 113.17 When the price rises to $113.17 per share or above, you will get a margin call because your equity (margin) will be 50% or less. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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19. Award: 10.00 points Problems? Adjust credit for all students. The table below shows the limit order book for Foghorn Enterprises. Limit Buy Orders Limit Sell Orders Price Shares Price Shares $ 92.05 100 $ 92.17 800 92.04 300 92.16 500 92.03 450 92.15 300 92.02 900 92.14 600 92.01 1,600 92.13 300 92.12 400 92.11 215 Required: a. If you place a market order to buy 1,050 shares, in what sequence will you pay for the shares? b. What is the total cost of the purchase? Required A Required B Complete this question by entering your answers in the tabs below. If you place a market order to buy 1,050 shares, in what sequence will you pay for the shares? Note: Round your answer to 2 decimal places. Required A Required B $ $ $ $ Price Number of Shares 92.11 215 92.12 400 92.13 300 92.14 135 Explanation: a. The order will be filled at the best possible prices. You will pay $92.11 for the first 215 shares, $92.12 for the next 400 shares, $92.13 for the next 300 shares, and $92.14 for the final 135 shares. b. Your total cost would be [(215 × $92.11) + (400.00 × $92.12) + (300.00 × $92.13) + (135.00 × $92.14)] = $96,730.00. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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19. Award: 10.00 points Problems? Adjust credit for all students. The table below shows the limit order book for Foghorn Enterprises. Limit Buy Orders Limit Sell Orders Price Shares Price Shares $ 92.05 100 $ 92.17 800 92.04 300 92.16 500 92.03 450 92.15 300 92.02 900 92.14 600 92.01 1,600 92.13 300 92.12 400 92.11 215 Required: a. If you place a market order to buy 1,050 shares, in what sequence will you pay for the shares? b. What is the total cost of the purchase? Required A Required B Complete this question by entering your answers in the tabs below. What is the total cost of the purchase? Note: Input the amount as a positive value. Round your answer to 2 decimal places. Required A Required B $ Total cost 96,730.00 Explanation: a. The order will be filled at the best possible prices. You will pay $92.11 for the first 215 shares, $92.12 for the next 400 shares, $92.13 for the next 300 shares, and $92.14 for the final 135 shares. b. Your total cost would be [(215 × $92.11) + (400.00 × $92.12) + (300.00 × $92.13) + (135.00 × $92.14)] = $96,730.00. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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20. Award: 10.00 points Problems? Adjust credit for all students. You paid cash for $1,200 worth of stock a year ago. Today the portfolio is worth $1,642. Required: a. What rate of return did you earn on the investment? b. Now suppose that you bought the same stock but bought it on margin. The initial margin requirement was 70%. Recalculate your rate of return, ignoring any interest due. c. Recalculate the rates of return for a cash purchase in the event that the stock is worth $900 today. d. Recalculate the rates of return for a margin purchase in the event that the stock is worth $900 today. Required A Required B Complete this question by entering your answers in the tabs below. What rate of return did you earn on the investment? Note: Negative value should be indicated by a minus sign. Round your answer to 2 decimal places. Required A Required B Required C Required D Rate of return 36.83 % Explanation: a. The return would be (Ending value − Beginning value) ÷ Amount invested = ($1,642 − $1,200) ÷ $1,200 = 36.83% b. The amount of your own funds invested is 0.70 × $1,200 = $840, so the return is (Ending value − Beginning value) ÷ Amount invested = ($1,642 − $1,200) ÷ $840 = 52.62% c. If you invested $1,200 of your own money, the return is ($900 − $1,200) ÷ $1,200 = –25.00% d. If you invested $840 of your own money, the return is ($900 − $1,200) ÷ $840 = −35.71% Borrowing magnifies returns, both positive and negative. If your investments increase in value you’ll have higher positive returns. If your investments decrease in value you’ll have lower negative returns. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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20. Award: 10.00 points Problems? Adjust credit for all students. You paid cash for $1,200 worth of stock a year ago. Today the portfolio is worth $1,642. Required: a. What rate of return did you earn on the investment? b. Now suppose that you bought the same stock but bought it on margin. The initial margin requirement was 70%. Recalculate your rate of return, ignoring any interest due. c. Recalculate the rates of return for a cash purchase in the event that the stock is worth $900 today. d. Recalculate the rates of return for a margin purchase in the event that the stock is worth $900 today. Required A Required C Complete this question by entering your answers in the tabs below. Now suppose that you bought the same stock but bought it on margin. The initial margin requirement was 70%. Recalculate your rate of return, ignoring any interest due. Note: Negative value should be indicated by a minus sign. Round your answer to 2 decimal places. Required A Required B Required C Required D Rate of return 52.62 % Explanation: a. The return would be (Ending value − Beginning value) ÷ Amount invested = ($1,642 − $1,200) ÷ $1,200 = 36.83% b. The amount of your own funds invested is 0.70 × $1,200 = $840, so the return is (Ending value − Beginning value) ÷ Amount invested = ($1,642 − $1,200) ÷ $840 = 52.62% c. If you invested $1,200 of your own money, the return is ($900 − $1,200) ÷ $1,200 = –25.00% d. If you invested $840 of your own money, the return is ($900 − $1,200) ÷ $840 = −35.71% Borrowing magnifies returns, both positive and negative. If your investments increase in value you’ll have higher positive returns. If your investments decrease in value you’ll have lower negative returns. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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20. Award: 10.00 points Problems? Adjust credit for all students. You paid cash for $1,200 worth of stock a year ago. Today the portfolio is worth $1,642. Required: a. What rate of return did you earn on the investment? b. Now suppose that you bought the same stock but bought it on margin. The initial margin requirement was 70%. Recalculate your rate of return, ignoring any interest due. c. Recalculate the rates of return for a cash purchase in the event that the stock is worth $900 today. d. Recalculate the rates of return for a margin purchase in the event that the stock is worth $900 today. Required B Required D Complete this question by entering your answers in the tabs below. Recalculate the rates of return for a cash purchase in the event that the stock is worth $900 today. Note: Negative value should be indicated by a minus sign. Round your answer to 2 decimal places. Required A Required B Required C Required D Rate of return (25.00) % Explanation: a. The return would be (Ending value − Beginning value) ÷ Amount invested = ($1,642 − $1,200) ÷ $1,200 = 36.83% b. The amount of your own funds invested is 0.70 × $1,200 = $840, so the return is (Ending value − Beginning value) ÷ Amount invested = ($1,642 − $1,200) ÷ $840 = 52.62% c. If you invested $1,200 of your own money, the return is ($900 − $1,200) ÷ $1,200 = –25.00% d. If you invested $840 of your own money, the return is ($900 − $1,200) ÷ $840 = −35.71% Borrowing magnifies returns, both positive and negative. If your investments increase in value you’ll have higher positive returns. If your investments decrease in value you’ll have lower negative returns. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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20. Award: 10.00 points Problems? Adjust credit for all students. You paid cash for $1,200 worth of stock a year ago. Today the portfolio is worth $1,642. Required: a. What rate of return did you earn on the investment? b. Now suppose that you bought the same stock but bought it on margin. The initial margin requirement was 70%. Recalculate your rate of return, ignoring any interest due. c. Recalculate the rates of return for a cash purchase in the event that the stock is worth $900 today. d. Recalculate the rates of return for a margin purchase in the event that the stock is worth $900 today. Required C Required D Complete this question by entering your answers in the tabs below. Recalculate the rates of return for a margin purchase in the event that the stock is worth $900 today. Note: Negative value should be indicated by a minus sign. Round your answer to 2 decimal places. Required A Required B Required C Required D $ Rate of return (35.71) % Explanation: a. The return would be (Ending value − Beginning value) ÷ Amount invested = ($1,642 − $1,200) ÷ $1,200 = 36.83% b. The amount of your own funds invested is 0.70 × $1,200 = $840, so the return is (Ending value − Beginning value) ÷ Amount invested = ($1,642 − $1,200) ÷ $840 = 52.62% c. If you invested $1,200 of your own money, the return is ($900 − $1,200) ÷ $1,200 = –25.00% d. If you invested $840 of your own money, the return is ($900 − $1,200) ÷ $840 = −35.71% Borrowing magnifies returns, both positive and negative. If your investments increase in value you’ll have higher positive returns. If your investments decrease in value you’ll have lower negative returns. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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21. Award: 10.00 points Problems? Adjust credit for all students. Given the following listing for a Treasury note, calculate the bid-ask spread. Assume a face value of $1,000. Note: Round your answer to 4 decimal places. Rate Maturity Month/Year Bid Asked Change Asked yield 6.5 May 12n 107.9601 108.0518 +1 3.86 $ Bid-ask spread 0.9170 Explanation: The bid price is 107.9601% of face value and is the amount for which the dealer would buy the security 107.9601% × $1,000 = $1,079.60. The ask price is 108.0518% of face value and is the amount for which the dealer would sell the security 108.0518% × $1,000 = $1,080.52. The bid-ask spread is the difference between the two prices and is a source of profit to the dealer $1,080.52 – 1,079.60 = $0.9170. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 03: How Securities Are Traded > Chapter 03 Additional Algorithmic Problems References
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1. Award: 10.00 points 2. Award: 10.00 points 3. Award: 10.00 points 4. Award: 10.00 points The trading of stock that was previously issued takes place: in the secondary market. in the primary market. usually with the assistance of an investment banker. in the secondary and primary markets. Secondary market transactions consist of trades between investors. References Multiple Choice Difficulty: 1 Basic A purchase of a new issue of stock takes place: in the secondary market. in the primary or secondary market. usually with the assistance of a commercial banker. in the secondary and primary markets. in the primary market and usually with the assistance of an investment banker. Funds from the sale of new issues flow to the issuing corporation, making this a primary market transaction. Investment bankers usually assist by pricing the issue and finding buyers. References Multiple Choice Difficulty: 1 Basic Firms raise capital by issuing stock in the secondary market. in the primary market. to unwary investors. only on days when the market is up. None of the options are correct. Funds from the sale of new issues flow to the issuing corporation, making this a primary market transaction. References Multiple Choice Difficulty: 1 Basic Which of the following statements regarding the specialist are true ? Specialists maintain a book listing outstanding, unexecuted limit orders but cannot trade in their own accounts. Specialists earn income from commissions and spreads in stock prices but cannot trade in their own accounts. Specialists stand ready to trade at quoted bid and ask prices but cannot trade in their own accounts. Specialists cannot trade in their own accounts. Specialists maintain a book listing outstanding, unexecuted limit orders, earn income from commissions and spreads in stock prices, and stand ready to trade at quoted bid and ask prices. The specialists' functions are all of the items listed. In addition, specialists trade in their own accounts. References Multiple Choice Difficulty: 2 Intermediate
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5. Award: 10.00 points 6. Award: 10.00 points 7. Award: 10.00 points 8. Award: 10.00 points Investment bankers: act as intermediaries between issuers of stocks and investors but not as advisors. act as advisors to companies in helping them analyze their financial needs and find buyers for newly-issued securities. accept deposits from savers and lend them out to companies. act as intermediaries between issuers of stocks and investors and act as advisors to companies in helping them analyze their financial needs and find buyers for newly-issued securities. The role of the investment banker is to assist the firm in issuing new securities, both in advisory and marketing capacities. The investment banker does not have a role comparable to a commercial bank, as indicated in accept deposits from savers and lend them out to companies. References Multiple Choice Difficulty: 2 Intermediate In a "firm commitment," the investment banker: buys the stock from the company and resells the issue to the public. agrees to help the firm sell the stock at a favorable price. finds the best marketing arrangement for the investment-banking firm. agrees to help the firm sell the stock at a favorable price and finds the best marketing arrangement for the investment-banking firm. offers a best-efforts approach. In a "firm commitment," the investment banker buys the stock from the company and resells the issue to the public. References Multiple Choice Difficulty: 2 Intermediate The secondary market consists of: transactions on the AMEX only. transactions in the OTC market only. transactions through the investment banker only. transactions on the AMEX and in the OTC market. transactions on the AMEX, through the investment banker, and in the OTC market. The secondary market consists of transactions on the organized exchanges and in the OTC market. The investment banker is involved in the placement of new issues in the primary market. References Multiple Choice Difficulty: 2 Intermediate Initial margin requirements are determined by: the Securities and Exchange Commission. the Federal Reserve System. the New York Stock Exchange. the Federal Reserve System and the New York Stock Exchange. The Board of Governors of the Federal Reserve System determines initial margin requirements. References Multiple Choice Difficulty: 2 Intermediate
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9. Award: 10.00 points 10. Award: 10.00 points 11. Award: 10.00 points 12. Award: 10.00 points You purchased JNJ stock at $130 per share. The stock is currently selling at $145. Your gains may be protected by placing a stop-buy order. limit-buy order. market order. limit-sell order. None of these options are correct. With a limit-sell order, your stock will be sold only at a specified price, or better. Thus, such an order would protect your gains. None of the other orders are applicable to this situation. References Multiple Choice Difficulty: 2 Intermediate You sold AAPL stock short at $190 per share. Your losses could be minimized by placing a limit-sell order. limit-buy order. stop-buy order. day-order. None of the options are correct. With a stop-buy order, the stock would be purchased if the price increased to a specified level, thus limiting your loss. References Multiple Choice Difficulty: 2 Intermediate Which one of the following statements regarding orders is false ? A market order is simply an order to buy or sell a stock immediately at the prevailing market price. A limit-sell order is where investors specify prices at which they are willing to sell a security. If stock ABC is selling at $50, a limit-buy order may instruct the broker to buy the stock if and when the share price falls below $45. A market order is an order to buy or sell a stock on a specific exchange (market). All statements are true. All of the order descriptions above are correct except a market order is an order to buy or sell a stock on a specific exchange (market). References Multiple Choice Difficulty: 2 Intermediate Restrictions on trading involving insider information apply to the following, except : corporate officers. corporate directors. major stockholders. All of the individuals. None of the options. Corporate officers, corporate directors, and major stockholders are corporate insiders and are subject to restrictions on trading on inside information. Further, the Supreme Court held that traders may not trade on nonpublic information even if they are not insiders. References Multiple Choice Difficulty: 2 Intermediate
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13. Award: 10.00 points 14. Award: 10.00 points 15. Award: 10.00 points 16. Award: 10.00 points The cost of buying and selling a stock consists of: broker's commissions only. dealer's bid-asked spread only. a price concession an investor may be forced to make only. broker's commissions and dealer's bid-asked spread. broker's commissions, dealer's bid-asked spread, and a price concession an investor may be forced to make. All of the options are possible costs of buying and selling a stock. References Multiple Choice Difficulty: 2 Intermediate Assume you purchased 200 shares of KO common stock on margin at $70 per share from your broker. If the initial margin is 55%, how much did you borrow from the broker? $6,000 $4,000 $7,700 $7,000 $6,300 200 shares × $70 per share × (1 0.55) = $14,000 × (0.45) = $6,300. References Multiple Choice Difficulty: 2 Intermediate You sold short 200 shares of common stock at $60 per share. The initial margin is 60%. Your initial investment was: $4,800. $12,000. $5,600. $7,200. $20,000 200 shares × $60 per share × 0.60 = $12,000 × 0.60 = $7,200. References Multiple Choice Difficulty: 2 Intermediate You purchased 100 shares of IBM common stock on margin at $130 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. $21.24 $92.86 $49.52 $80.33 $130.00 100 shares × $130 × 0.5 = $13,000 × 0.5 = $6,500 (loan amount); 0.30 = (100P $6,500) ÷ 100P; 30 P = 100P $6,500; 70P = $6,500; P = $92.86. References Multiple Choice Difficulty: 3 Challenge
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17. Award: 10.00 points 18. Award: 10.00 points 19. Award: 10.00 points 20. Award: 10.00 points You purchased 100 shares of common stock on margin at $45 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 $30? Ignore interest on margin. 0.33 0.55 0.43 0.23 0.25 100 shares × $45per share × 0.5 = $4,500 × 0.5 = $2,250 (loan amount); X = [100($30) $2,250] ÷ 100($30); X = 0.25. References Multiple Choice Difficulty: 3 Challenge You purchased 300 shares of common stock on margin for $60 per share. The initial margin is 60%, and the stock pays no dividend. What would your rate of return be if you sell the stock at $45 per share? Ignore interest on margin. 25.00% –33.33% 44.31% –41.67% –54.22% 300 × $60 × 0.60 = $10,800 investment; 300 × $60 × 0.40 = $18,000 × 0.40 = $7,200 loan; Proceeds after selling stock and repaying loan: $13,500 – $7,200 = $6,300; Return = ($6,300 $10,800) ÷ $10,800 = 41.67%. References Multiple Choice Difficulty: 3 Challenge Assume you sell short 100 shares of common stock at $45 per share, with initial margin at 50%. What would be your rate of return if you repurchase the stock at $40 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. 20.03% 25.67% 22.22% 77.46% Profit on stock = ($45 $40) × 100 = $500, $500 ÷ $2,250 (initial investment) = 22.22%. References Multiple Choice Difficulty: 3 Challenge You sold short 300 shares of common stock at $55 per share. The initial margin is 60%. At what stock price would you receive a margin call if the maintenance margin is 35%? $51.00 $65.19 $35.22 $40.36 None of the options are correct. Equity = 300($55) × 1.6 = $26,400; 0.35 = ($26,400 300 P ) ÷ 300 P ; 105 P = $26,400 300 P ; 405 P = $26,400; P = $65.18. References Multiple Choice Difficulty: 3 Challenge
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21. Award: 10.00 points 22. Award: 10.00 points 23. Award: 10.00 points 24. Award: 10.00 points Assume you sold short 100 shares of common stock at $50 per share. The initial margin is 60%. What would be the maintenance margin if a margin call is made at a stock price of $60? 40% 33% 35% 25% None of the options are correct. $5,000 × 1.6 = $8,000; [$8,000 100($60)] ÷ 100($60) = 33%. References Multiple Choice Difficulty: 3 Challenge Specialists on stock exchanges perform which of the following functions? Act as dealers in their own accounts only Analyze the securities in which they specialize only Provide liquidity to the market only Act as dealers in their own accounts and analyze the securities in which they specialize Act as dealers in their own accounts and provide liquidity to the market Specialists are both brokers and dealers and provide liquidity to the market; they are not analysts. References Multiple Choice Difficulty: 2 Intermediate Shares for short transactions: are usually borrowed from other brokers. are typically shares held by the short seller's broker in street name. are borrowed from commercial banks. are typically shares held by the short seller's broker in street name and are borrowed from commercial banks. Typically, the only source of shares for short transactions is the short seller's broker in street name; often these are margined shares. References Multiple Choice Difficulty: 2 Intermediate Which of the following orders is most useful to short sellers who want to limit their potential losses? Limit order Discretionary order Limit-loss order Stop-buy order By issuing a stop-buy order, the short seller can limit potential losses by assuring that the stock will be purchased (and the short position closed) if the price increases to a certain level. References Multiple Choice Difficulty: 2 Intermediate
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25. Award: 10.00 points 26. Award: 10.00 points 27. Award: 10.00 points 28. Award: 10.00 points Which of the following orders instructs the broker to buy at the current market price? Limit order Discretionary order Limit-loss order Stop-buy order Market order Market orders are to be executed immediately at the best prevailing price. References Multiple Choice Difficulty: 2 Intermediate Which of the following orders instructs the broker to buy at or below a specified price? Limit-loss order Discretionary order Limit-buy order Stop-buy order Market order Limit-buy orders are to be executed if the market price decreases to the specified limit price. References Multiple Choice Difficulty: 2 Intermediate Which of the following orders instructs the broker to sell at or below a specified price? Limit-sell order Stop-loss order Limit-buy order Stop-buy order Market order Stop-loss orders are to be executed if the market price decreases to the specified limit price. References Multiple Choice Difficulty: 2 Intermediate Which of the following orders instructs the broker to sell at or above a specified price? Limit-buy order Discretionary order Limit-sell order Stop-buy order Market order Limit-sell orders are to be executed if the market price increases to the specified limit price. References Multiple Choice Difficulty: 2 Intermediate
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29. Award: 10.00 points 30. Award: 10.00 points 31. Award: 10.00 points 32. Award: 10.00 points Which of the following orders instructs the broker to buy at or above a specified price? Limit-buy order Discretionary order Limit-sell order Stop-buy order Market order Stop-buy orders are to be executed if the market price increases to the specified limit price. References Multiple Choice Difficulty: 2 Intermediate Shelf registration: is a way of placing issues in the secondary market. allows firms to register securities for sale over a five-year period. increases transaction costs to the issuing firm. is a way of placing issues in the primary market and allows firms to register securities for sale over a three-year period. is a way of placing issues in the primary market and increases transaction costs to the issuing firm. Shelf registration lowers transactions costs to the firm as the firm may register issues for a longer period than in the past and thus requires the services of the investment banker less frequently. References Multiple Choice Difficulty: 1 Basic Block transactions are transactions for more than _______ shares, and they account for about _____ percent of all trading on the NYSE. 1,000; 5 500; 10 100,000; 50 10,000; 30 5,000; 23 Block transactions are defined as trades of 10,000 or more shares. References Multiple Choice Difficulty: 1 Basic A program trade is: a trade of 10,000 (or more) shares of a stock. a trade of many shares of one stock for one other stock. a trade of analytic programs between financial analysts. a coordinated purchase or sale of an entire portfolio of stocks. not feasible with current technology but is expected to be popular in the near future. Program trading is a coordinated purchase or sale of an entire portfolio of stocks. References Multiple Choice Difficulty: 2 Intermediate
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33. Award: 10.00 points 34. Award: 10.00 points 35. Award: 10.00 points 36. Award: 10.00 points When stocks are held in street name,: the investor receives a stock certificate with the owner's street address. the investor receives a stock certificate without the owner's street address. the broker does not receive a stock certificate. the client holds the stock in the brokerage firm's name on behalf of the broker. . the investor does not receive a stock certificate, and the broker holds the stock in the brokerage firm's name on behalf of the client. When stocks are held in street name, the investor does not receive a stock certificate; the broker holds the stock in the brokerage firm's name on behalf of the client. This arrangement speeds transfer of securities. References Multiple Choice Difficulty: 2 Intermediate NASDAQ subscriber levels: permit those with the highest level, 3, to "make a market" in the security. permit those with a level 2 subscription to receive all bid and ask quotes but not to enter their own quotes. permit level 1 subscribers to receive general information about prices. include all OTC stocks. permit those with the highest level, 3, to "make a market" in the security; permit those with a level 2 subscription to receive all bid and ask quotes but not to enter their own quotes; and permit level 1 subscribers to receive general information about prices. NASDAQ links dealers in a loosely organized network with different levels of access to meet different needs. References Multiple Choice Difficulty: 1 Basic You want to buy 100 shares of Hotstock Incorporated at the best possible price as quickly as possible. You would most likely place a: stop-loss order. stop-buy order. market order. limit-sell order. limit-buy order. A market order is for immediate execution at the best possible price. References Multiple Choice Difficulty: 1 Basic You want to purchase KO stock at $60 from your broker using as little of your own money as possible. If initial margin is 50% and you have $3,000 to invest, how many shares can you buy? 100 shares 200 shares 50 shares 500 shares 25 shares 0.5 = [( Q × $60) $3,000] ÷ ( Q × $60); $30 Q = $60 Q $3,000; $30 Q = $3,000; Q = 100. References Multiple Choice Difficulty: 2 Intermediate
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37. Award: 10.00 points 38. Award: 10.00 points 39. Award: 10.00 points 40. Award: 10.00 points A sale by IBM of new stock to the public would be a(n): short sale. seasoned equity offering. private placement. secondary-market transaction. initial public offering. When a firm whose stock already trades in the secondary market issues new shares to the public, this is referred to as a seasoned equity offering. References Multiple Choice Difficulty: 1 Basic The finalized registration statement for new securities approved by the SEC is called a red herring. the preliminary statement. the prospectus. a best-efforts agreement. a firm commitment. The prospectus is the finalized registration statement approved by the SEC. References Multiple Choice Difficulty: 1 Basic One outcome from the SEC investigation of the "Flash Crash of 2010" was: a prohibition of short selling. higher margin requirements. approval of new circuit breakers. establishment of electronic communications networks (ECNs). passage of the Sarbanes-Oxley Act. See "The Flash Crash of 2010." References Multiple Choice Difficulty: 2 Intermediate All of the following are considered new trading strategies, except high frequency trading. algorithmic trading. dark pools. short selling. All of the options are considered new trading strategies. Short selling has been in use for over 100 years in the U.S. References Multiple Choice Difficulty: 2 Intermediate
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41. Award: 10.00 points 42. Award: 10.00 points 43. Award: 10.00 points 44. Award: 10.00 points You sell short 100 shares of Loser Company at a market price of $45 per share. Your maximum possible loss is: $4,500. unlimited. zero. $9,000. Cannot be determined from the information given. A short seller loses money when the stock price rises. Since there is no upper limit on the stock price, the maximum theoretical loss is unlimited. References Multiple Choice Difficulty: 2 Intermediate 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? 50% 40% 33% 60% 25% [300 × $25 0.5 × 300 × $30) ÷ (300 × $25) = 0.40. References Multiple Choice Difficulty: 2 Intermediate When a firm markets new securities, a preliminary registration statement must be filed with: the exchange on which the security will be listed. the Securities and Exchange Commission. the Federal Reserve. all other companies in the same line of business. the Federal Deposit Insurance Corporation. The SEC requires the registration statement and must approve it before the issue can take place. References Multiple Choice Difficulty: 1 Basic 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. I, II, and III I, III, and IV I and IV II and III I and II A typical underwriting arrangement is made on a firm commitment basis. References Multiple Choice Difficulty: 2 Intermediate
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45. Award: 10.00 points 46. Award: 10.00 points 47. Award: 10.00 points 48. Award: 10.00 points Which of the following is true regarding private placements of primary security offerings? Extensive and costly registration statements are required by the SEC. For very large issues, they are better suited than public offerings. They trade in secondary markets. The shares are sold directly to a small group of institutional or wealthy investors. They have greater liquidity than public offerings. Firms can save on registration costs, but the result is that the securities cannot trade in the secondary markets and therefore are less liquid. Public offerings are better suited for very large issues. References Multiple Choice Difficulty: 2 Intermediate You sold short 100 shares of common stock at $45 per share. The initial margin is 50%. Your initial investment was: $4,800. $12,000. $2,250. $7,200. 100 shares × $45 per share × 0.50 = $4,500 × 0.50 = $2,250. References Multiple Choice Difficulty: 2 Intermediate You sold short 150 shares of common stock at $27 per share. The initial margin is 45%. Your initial investment was: $4,800.60. $12,000.25. $2,250.75. $1,822.50. 150 shares × $27 per share × 0.45 = $4,050 × 0.45 = $1,822.50. References Multiple Choice Difficulty: 2 Intermediate 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. $42.86 $50.75 $49.67 $80.34 100 shares × $60 × 0.5 = $6,000 × 0.5 = $3,000 (loan amount); 0.30 = (100 P $3,000) ÷ 100 P ; 30 P = 100 P $3,000; 70 P = $3,000; P = $42.86. References Multiple Choice Difficulty: 3 Challenge
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49. Award: 10.00 points 50. Award: 10.00 points 51. Award: 10.00 points 52. Award: 10.00 points 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. $12.86 $15.75 $19.67 $13.57 1,000 shares × $19 × 0.5 = $19,000 × 0.5 = $9,500 (loan amount); 0.30 = (1,000 P $9,500) ÷ 1,000 P ; 300 P = 1,000 P $9,500; 700 P = $9,500; P = $13.57. References Multiple Choice Difficulty: 3 Challenge 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. 0.33 0.55 0.20 0.23 0.25 100 shares × $40 per share × 0.5 = $4,000 × 0.5 = $2,000 (loan amount); X = [100($25) $2,000] ÷ 100($25); X = 0.20. References Multiple Choice Difficulty: 3 Challenge 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. 0.330 0.375 0.200 0.235 0.255 1,000 shares × $30 per share × 0.5 = $30,000 × 0.5 = $15,000 (loan amount); X = [1,000($24) $15,000]/1,000($24); X = 0.375. References Multiple Choice Difficulty: 3 Challenge 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. 28% 33% 14% 42% 24% 100($50)(0.50) = $2,500 investment; gain on stock sale = ($56 $50)(100) = $600; Return = ($600 ÷ $2,500) = 24%. References Multiple Choice Difficulty: 3 Challenge
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53. Award: 10.00 points 54. Award: 10.00 points 55. Award: 10.00 points 56. Award: 10.00 points 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. 28% 33% 14% 40% 24% 100($60)(0.50) = $3,000 investment; gain on stock sale = ($72 $60)(100) = $1,200; Return = ($1,200 ÷ $3,000) = 40% References Multiple Choice Difficulty: 3 Challenge 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. 20.47% 25.63% 57.14% 77.23% Profit on stock = ($35 $25)(1,000) = $10,000; initial investment = ($35)(1,000)(0.5) = $17,500; return = $10,000 ÷ $17,500 = 57.14%. References Multiple Choice Difficulty: 2 Intermediate 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. 33.33% 25.63% 57.14% 77.23% Profit on stock = ($30 $35)(100) = 500; initial investment = ($30)(100)(0.5) = $1,500; return = $500 ÷ $1,500 = 33.33%. References Multiple Choice Difficulty: 2 Intermediate 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? 100 shares 200 shares 50 shares 500 shares 25 shares You can buy $4,000 ÷ $40 = 100 shares outright and you can borrow $4,000 to buy another 100 shares. References Multiple Choice Difficulty: 2 Intermediate
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57. Award: 10.00 points 58. Award: 10.00 points 59. Award: 10.00 points 60. Award: 10.00 points 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 $19,600 to invest, how many shares can you buy? 150 shares 200 shares 300 shares 500 shares 25 shares You can buy $19,600 ÷ $130 = 150 (Rounded) shares outright and you can borrow $19,600 to buy another 150 shares (Rounded). References Multiple Choice Difficulty: 2 Intermediate 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? 40% 20% 35% 25% $4,000 × 1.5 = $6,000; ($6,000 100 × $50) ÷ (100 × $50) = 20%. References Multiple Choice Difficulty: 3 Challenge 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? 40.5% 20.5% 35.5% 23.5% $7,000 × 1.5 = $10,500; ($10,500 100× $85) ÷ (100 × $85) = 23.5%. References Multiple Choice Difficulty: 3 Challenge 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%? $50 $65 $35 $40 Equity = 100($45) × 1.5 = $6,750; 0.35 = ($6,750 100 P ) ÷ 100 P ; 35 P = $6,750 100 P ; 135 P = $6,750; P = $50.00 References Multiple Choice Difficulty: 3 Challenge
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61. Award: 10.00 points 62. Award: 10.00 points 63. Award: 10.00 points 64. Award: 10.00 points 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%? $90.23 $88.52 $86.54 $87.12 Equity = 100($75) × 1.5 = $11,250; 0.30 = ($11,250 100 P ) ÷ 100 P ; 30 P = $11,250 100 P ; 130 P = $11,250; P = $86.54. References Multiple Choice Difficulty: 3 Challenge The preliminary prospectus is referred to as a(n): red herring. indenture. greenmail. tombstone. headstone. The preliminary prospectus is referred to as a red herring. References Multiple Choice Difficulty: 1 Basic The securities act of 1933: I) requires full disclosure of relevant information relating to the issue of new securities. II) requires registration of new securities. III) requires issuance of a prospectus detailing financial prospects of the firm. IV) established the SEC. V) requires periodic disclosure of relevant financial information. VI) empowers SEC to regulate exchanges, OTC trading, brokers, and dealers. I, II, and III I, II, III, IV, V, and VI I, II, and V I, II, and IV IV only The Securities Act of 1933 requires full disclosure of relevant information relating to the issue of new securities, requires registration of new securities, and requires issuance of a prospectus detailing financial prospects of the firm. References Multiple Choice Difficulty: 1 Basic The Securities Act of 1934: I) requires full disclosure of relevant information relating to the issue of new securities. II) requires registration of new securities. III) requires issuance of a prospectus detailing financial prospects of the firm. IV) established the SEC. V) requires periodic disclosure of relevant financial information. VI) empowers SEC to regulate exchanges, OTC trading, brokers, and dealers. I, II, and III I, II, III, IV, V, and VI I, II, and V I, II, and IV IV, V, and VI The Securities Act of 1934 established the SEC, requires periodic disclosure of relevant financial information, and empowers SEC to regulate exchanges, OTC trading, brokers, and dealers. References Multiple Choice Difficulty: 1 Basic
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65. Award: 10.00 points 66. Award: 10.00 points 67. Award: 10.00 points 68. Award: 10.00 points Which of the following is not required under the CFA Institute Standards of Professional Conduct? Knowledge of all applicable laws, rules, and regulations Disclosure of all personal investments, whether or not they may conflict with a client's investments Disclosure of all conflicts to clients and prospects Reasonable inquiry into a client's financial situation All of the options are required under the CFA Institute standards. See "Excerpts from CFA Institute Standards of Professional Conduct." Personal investments need not be disclosed unless they are in potential or actual conflict. References Multiple Choice Difficulty: 2 Intermediate According to the CFA Institute Standards of Professional Conduct, CFA Institute members have responsibilities to all of the following, except : the government. the profession. the public. the employer. clients and prospective clients. See "Excerpts from CFA Institute Standards of Professional Conduct." References Multiple Choice Difficulty: 2 Intermediate The introduction of the ___________________allowed brokers to send orders either for immediate electronic execution or to the specialist, who could seek price improvement from another trader. International Exchange NYSE Hybrid Market Designated Order Turnaround NYSE Euronext AMEX References Multiple Choice Difficulty: 2 Intermediate Who purchased the NYSE in 2013? International Exchange NYSE Hybrid Market Designated Order Turnaround NYSE Euronext AMEX References Multiple Choice Difficulty: 2 Intermediate
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69. Award: 10.00 points 70. Award: 10.00 points 71. Award: 10.00 points What was the name of the system that introduced the NYSE to electronic trading? International Exchange NYSE Hybrid Market Designated Order Turnaround NYSE Euronext AmNEXT References Multiple Choice Difficulty: 2 Intermediate The process of marketing a public offering is usually referred to as ____________. Underwriting Investment banking Brokerage Discounting IPO References Multiple Choice Difficulty: 2 Intermediate What kind of entity will often sell a company via an initial public offering when the firm gets too big for similar entities to purchase? Underwriter Investment banking Private Equity Broker LBO References Multiple Choice Difficulty: 2 Intermediate
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