Fin 6314 Quiz 2

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University of Texas, Dallas *

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6314

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Finance

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Feb 20, 2024

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Fin 6314 Quiz 2 1. A portfolio manager invests $10 million in a debt obligation that promises to pay 7.3% per year for four years. The future value of the $10 million is closest to: $7,543,990 $13,255,585 $13,321,541 2. Consider a bond selling at par ($100) with a coupon rate of 6%, compounded anually, and 10 years to maturity. If the required yield is 15%, the price of this bond is closest to: $51.67 $54.12 $54.83 3. You are considering the two 7-year investment alternatives described below. Investment 1: Invest $500,000 for four (4) years at 5.7% compounded annually, then invest the accumulated amount for three (3) more years at 7.2% compounded annually. Investment 2: Invest $500,000 for seven (7) years at 6.1% compounded semiannually. Assuming you are a rational investor who prefers investments with the greatest future value, which investment will you select? Investment 1 because the future value of Investment 1 is $7,421.49 greater than the future value of Investment 2. Investment 2 because the future value of Investment 2 is $7,421.49 greater than the future value of Investment 1. Investment 2 because the future value of Investment 2 is $12,078.18 more than the future value of Investment 1. 4. The dirty (full) price of a bond is: the price of a bond that is in default. the price of a bond that does not include accrued interest. the price of the bond that includes accrued interest. 5. Consider a 10-year bond selling at par ($100) with an annual coupon rate of 6%. If the required yield increases from 15% to 16%, the percentage change in price is closest to: 5.76% decrease 6.12% increase 5.76% increase
6. The relationship between the price of the bonds in the table below and their par value is most accurately described by which of the following? Price (B) > Par and Price (B) = Par Price (A) > Par and Price (C) < Par Price (A) < Par and Price (B) = Par 7. A portfolio manager is considering investing $500,000 in a debt instrument that pays an annual interest rate of 5.7% for four years. At the end of four years, the portfolio manager plans to reinvest the proceeds for three more years at an annual interest rate of 7.2%. The value of this investment at the end of seven years is closest to: $624,122.66 $813,454.95 $768,872.47 8. Suppose that a life insurance company has guaranteed a payment of $15 million to a pension fund 6.5 years from now. If the life insurance company receives a premium of $12.4 million from the pension fund and can invest the entire premium for 6.5 years at an annual interest rate of 3.25%, will it have sufficient funds to meet its $15 million obligation? Yes, because the future value of the investment will be $265,362 more than required. No, because the future value of the investment will be $$265,362 less than required. Yes, because the future value of the investment will be equal to the amount required. 9. The price of the bonds in the table below, per $1,000 of par value assuming semiannual coupon payments, is closest to Price (A) = $1,065.95; Price (B) = $1,000.00; Price (C) = $692.55 Price (A) = $1,065.15; Price (B) = $1,000.00; Price (C) = $695.76 Price (A) = $1,065.65; Price (B) = $1,000.00; Price (C) = $695.76
10. Consider a corporate treasurer who wants to invest a sum of money that will satisfy the liability stream described in the table below. If the treasure can invest funds to earn an annual interest rate of 6.6%, the amount that must be invested today to satisfy this liability stream is closest to: $13,111,510 $13,470,000 $16,200,000 11. Suppose that a portfolio manager purchases $10 million of par value of an eight-year bond that has a coupon rate of 7% and pays interest at the end of each year. If this portfolio manager holds the bond until it matures eight years from now, and reinvests all of the annual interest payments at a rate of 6.2%, the value of the investment at the end of 8 years will be closest to: $6,978,160 $16,978,160 $16,180,656 12. Suppose you are reviewing the price sheet presented below for several bonds with prices stated per $100 of par value. Which of the following statements is most accurate? (Hint: you do not need to calculate the price of each bond.) The price of Bond V, X, and Y are NOT appropriately priced. The price of Bond Z is NOT appropriately priced. The price of Bond U should be greater than 100. Bond Price Coupon (%) Required Yield (%) U 90 6 9 V 96 9 8 W 110 8 6 X 105 0 5 Y 107 7 9 Z 100 6 6
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