Ch 6 Practice Q's-Answers

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Practice Questions for CHAPTER 6 1. What is the coupon payment of a 15-year $10,000 bond with a 9% coupon rate with semiannual payments? A) $150.00 B) $450 C) $900.00 D) $1800.00 2. A corporate bond makes payments of $9.67 every month for ten years with a final payment of $2009.67. Which of the following best describes this bond? A) a 10-year bond with a face value of $2,000 and a coupon rate of 4.8% with monthly payments B) a 10-year bond with a face value of $2,000 and a coupon rate of 5.8% with monthly payments C) a 10-year bond with a face value of $2,009.67 and a coupon rate of 4.8% with monthly payments D) a 10-year bond with a face value of $2,009.67 and a coupon rate of 5.8% with monthly payments 3. Which of the following statements regarding bonds and their terms is FALSE? A) Bonds are securities sold by governments and corporations to raise money from investors today in exchange for a promised future payment. B) By convention, the coupon rate is expressed as an effective annual rate. C) Bonds typically make two types of payments to their holders. D) The time remaining until the repayment date is known as the term of the bond. 4. How are investors in zero-coupon bonds compensated for making such an investment? A) Such bonds are purchased at their face value and sold at a premium on a later date. B) Such bonds make regular interest payments. C) Such bonds are purchased at a discount, below their face value. D) Such bonds have a lower face value as compared to other bonds of similar term. 5. What is the yield to maturity of a one-year, risk-free, zero-coupon bond with a $10,000 face value and a price of $9400 when released? A) 3.191% B) 6.000% C) 6.383% D) 0.009%

1 6. A risk-free, zero-coupon bond has 15 years to maturity. Which of the following is closest to the price per $1000 of face value that the bond will trade at if the YTM is 6.1%? A) $663.78 B) $774.42 C) $553.15 D) $885.05 7. Consider a zero-coupon bond with $100 face value and 15 years to maturity. If the YTM is 7.4%, this bond will trade at a price closest to ________. A) $41.13 B) $34.27 C) $47.98 D) $54.83 8. Consider a zero-coupon bond with a $1000 face value and 15 years left until maturity. If the bond is currently trading for $431, then the yield to maturity on this bond is closest to ________. A) 2.89% B) 56.90% C) 43.10% D) 5.77% 9. What is the yield to maturity of a(n) eight-year, $5000 bond with a 4.4% coupon rate and semiannual coupons if this bond is currently trading for a price of $4723.70? A) 6.31% B) 5.26% C) 7.36% D) 2.63% 10. A bond has five years to maturity, a $1000 face value, and a 5.5% coupon rate with annual coupons. What is its yield to maturity if it is currently trading at $846.11? A) 11.41% B) 13.31% C) 7.61% D) 9.51% 11. What must be the price of a $10,000 bond with a 6.1% coupon rate, semiannual coupons, and five years to maturity if it has a yield to maturity of 10% APR? A) $8494.26 B) $10,193.11 C) $11,891.97 D) $6795.41

2 12. What must be the price of a $1000 bond with a 5.8% coupon rate, annual coupons, and 20 years to maturity if YTM is 7.8% APR? A) $960.82 B) 1120.95 C) $800.68 D) $640.54 13. A $1000 bond with a coupon rate of 6.2% paid semiannually has eight years to maturity and a yield to maturity of 8.3%. If interest rates rise and the yield to maturity increases to 8.6%, what will happen to the price of the bond? A) The price of the bond will fall by $18.93. B) The price of the bond will fall by $15.78. C) The price of the bond will rise by $15.78. D) The price of the bond will not change. 14. What is the coupon rate of an eight-year, $10,000 bond with semiannual coupons and a price of $9006.6568, if it has a yield to maturity of 6.5%? A) 4.888% B) 5.87% C) 6.84% D) 3.91% 15. The Sisyphean Company has a bond outstanding with a face value of $5000 that matures in 10 years. The bond certificate indicates that the stated coupon rate for this bond is 8.9% and that the coupon payments are to be made semiannually. How much will each semiannual coupon payment be? A) $445.0 B) $222.5 C) $667.5 D) $890.0 16. The Sisyphean Company has a bond outstanding with a face value of $1000 that reaches maturity in 5 years. The bond certificate indicates that the stated coupon rate for this bond is 10.0% and that the coupon payments are to be made semiannually. Assuming the appropriate YTM on the Sisyphean bond is 7.5%, then this bond will trade at ________. A) par B) a discount C) a premium D) none of the above

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3 17. Which of the following bonds is trading at par? A) a bond with a $2,000 face value trading at $1,987 B) a bond with a $1,000 face value trading at $999 C) a bond with a $1,000 face value trading at $1,000 D) a bond with a $2,000 face value trading at $2,012 18. Which of the following bonds is trading at a premium? A) a five-year bond with a $2,000 face value whose yield to maturity is 7.0% and coupon rate is 7.2% APR paid semiannually B) a ten-year bond with a $4,000 face value whose yield to maturity is 6.0% and coupon rate is 5.9% APR paid semiannually C) a 15-year bond with a $10,000 face value whose yield to maturity is 8.0% and coupon rate is 7.8% APR paid semiannually D) a two-year bond with a $50,000 face value whose yield to maturity is 5.2% and coupon rate is 5.2% APR paid monthly 19. A bond has a $10,000 face value, ten years to maturity, and 8% semiannual coupon payments. What would be the expected difference in this bond's price immediately before and immediately after the next coupon payment? A) $800 B) $400 C) $1200 D) $200 Security: AAA Corporate AA Corporate A Corporate BBB Corporate BB Corporate Yield (%): 5.6 5.7 6.1 6.4 7.0 20. A mining company needs to raise $100 million in order to begin open-pit mining of a coal seam. The company will fund this by issuing 30-year bonds with a face value of $1,000 and a coupon rate of 6.5%, paid annually. The above table shows the yield to maturity for similar 30-year corporate bonds of different ratings. If the company's bonds are rated A, what will be their selling price? A) $1265.37 B) $1476.27 C) $1054.48 D) $843.58

4 Security: AAA Corporate AA Corporate A Corporate BBB Corporate BB Corporate Yield (%): 5.7 5.8 6.0 6.6 6.9 21. Lloyd Industries raised $28 million in order to upgrade its roller kiln furnace for the production of ceramic tiles. The company funded this by issuing 15-year bonds with a face value of $1,000 and a coupon rate of 6.2%, paid annually. The above table shows the yield to maturity for similar 15-year corporate bonds of different ratings issued at the same time. When Lloyd Industries issued their bonds, they received a price of $962.63. Which of the following is most likely to be the rating these bonds received? A) AA B) A C) BBB D) BB 22. Consider the following yields to maturity on various one-year, zero-coupon securities: Security Yield (%) Treasury 5.5 AAA Corporate 5.7 BBB Corporate 6.5 B Corporate 7. The price (expressed as a percentage of the face value) of a one-year, zero-coupon corporate bond with a AAA rating is closest to ________. A) 113.53 B) 132.45 C) 75.69 D) 94.61