Chapter 02

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Johns Hopkins University *

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Jan 9, 2024

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1. Award: 10.00 points Problems? Adjust credit for all students. Which of the following correctly describes a repurchase agreement? The sale of a security with a commitment to repurchase the same security at a specified future date and a designated price. Explanation: A repurchase agreement is an agreement whereby the seller of a security agrees to "repurchase" it from the buyer on an agreed upon date at an agreed upon price. Repos are typically used by securities dealers as a means for obtaining funds to purchase securities. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 02: Asset Classes and Financial Instruments > Chapter 02 Problems - Algorithmic & Static References
2. Award: 10.00 points Problems? Adjust credit for all students. Refer to Figure 2.3 and look at the Treasury bond maturing in November 2040. Required: a. How much would you have to pay to purchase one of these bonds? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. What is its coupon rate? Note: Round your answer to 3 decimal places. c. What is the yield to maturity of the bond? Note: Do not round intermediate calculations. Round your answer to 3 decimal places. $ a. Price paid 1,391.80 b. Coupon rate 4.250 % c. Yield to maturity 1.815 % Explanation: a. You would have to pay the ask price of: 139.180% of par value of $1,000 = $1,391.80 b. The coupon rate is 4.250%; implying coupons $42.50 annually or, more precisely $21.25 (semiannually). c. The yield to maturity on a fixed income security is also known as its required return and is reported by The Wall Street Journal and others in the financial press as the ask yield. In this case, the yield to maturity is 1.815%. An investor buying this security today and holding it until it matures will earn an annual return of 1.815%. Students will learn in a later chapter how to compute both the price and the yield to maturity with a financial calculator (as well as some of the other implications of yield calculations). Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 02: Asset Classes and Financial Instruments > Chapter 02 Problems - Algorithmic & Static References
3. Award: 10.00 points Problems? Adjust credit for all students. Suppose investors can earn a return of 2% per 6 months on a Treasury note with 6 months remaining until maturity. The face value of the T-bill is $10,000. Required: What price would you expect a 6-month-maturity Treasury bill to sell for? Note: Round your answer to 2 decimal places. $ Price 9,803.92 Explanation: Treasury bills are discount securities that mature for $10,000. A 6-month T-bill price is the value divided by one plus the semi-annual return: P = $10,000 ÷ 1.02 = $9,803.92 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 02: Asset Classes and Financial Instruments > Chapter 02 Problems - Algorithmic & Static References
4. Award: 10.00 points Problems? Adjust credit for all students. Find the after-tax return to a corporation that buys a share of preferred stock at $40, sells it at year-end at $40, and receives a $4 year-end dividend. The firm is in the 21% tax bracket. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. After-tax rate of return 8.95 % Explanation: The total before-tax income is $4. After the 50% corporate exclusion for preferred stock dividends, the taxable income is: 0.50 × $4 = $2.00 Therefore, taxes are: 0.21 × $2.00 = $0.42 After-tax income is: $4.00 − $0.42 = $3.58 Rate of return is: $3.58 ÷ $40.00 = 8.95% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 02: Asset Classes and Financial Instruments > Chapter 02 Problems - Algorithmic & Static References
5. Award: 10.00 points Problems? Adjust credit for all students. Refer to Figure 2.8 and look at the listing for Honneywell. Required: a. How many shares can you buy for $5,000? Note: Round down your answer to the nearest whole number. b. What would be your annual dividend income from those shares? Note: Round down your intermediate calculations to the nearest whole number. Round your answer to 2 decimal places. c. What must be Honneywell’s earnings per share? Note: Round your answer to 2 decimal places. d. What was the firm's closing price on the day before the listing? Note: Round your answer to 2 decimal places. $ $ $ a. Number of shares 22 b. Annual dividend income 81.84 c. Earnings per share 6.52 d. Yesterday's closing price 223.53 Explanation: a. You could buy: $5,000 ÷ $227.22 = 22.01 shares. Since it is not possible to trade in fractions of shares, you could buy 22 shares of Honneywell. b. Your annual dividend income would be: 22 × $3.72 = $81.84 c. The price-to-earnings ratio is 34.87 and the price is $227.22. Therefore: P/E = 34.871 = $227.22 ÷ E.P.S → E.P.S = $6.52 d. Honneywell closed today at $227.22, which was $3.69 higher than yesterday’s price of $223.53. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 02: Asset Classes and Financial Instruments > Chapter 02 Problems - Algorithmic & Static References
6. Award: 10.00 points Problems? Adjust credit for all students. Consider the three stocks in the following table. P t represents price at time t , and Q t represents shares outstanding at time t. Stock C splits two for one in the last period. Stock P 0 Q 0 P 1 Q 1 P 2 Q 2 A 90 100 95 100 95 100 B 50 200 45 200 45 200 C 100 200 110 200 55 400 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period ( t = 0 to t = 1). Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. Calculate the new divisor for the price-weighted index in year 2. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Calculate the rate of return for the second period ( t = 1 to t = 2). Note: Round your answer to 2 decimal places. a. Rate of return 4.17 % b. New divisor 2.34 c. Rate of return 0.00 % Explanation: a. At t = 0, the value of the index is: (90 + 50 + 100) ÷ 3 = 80.00 At t = 1, the value of the index is: (95 + 45 + 110) ÷ 3 = 83.33 The rate of return is: (83.333 ÷ 80) − 1 = 4.17% b. In the absence of a split, Stock C would sell for 110, so the value of the index would be: (95 + 45 + 110) ÷ 3 = 250 ÷ 3 = 83.33 with a divisor of 3. After the split, stock C sells for 55. Therefore, we need to find the divisor (d) such that: 83.33 = (95 + 45 + 55) ÷ d d = 2.34. The divisor fell, which is always the case after a firm in an index splits its shares. c. The return is zero. The index remains unchanged because the return for each stock separately equals zero. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 02: Asset Classes and Financial Instruments > Chapter 02 Problems - Algorithmic & Static References
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