Chapter 3 FINC 3700
36) A frequently used approximation for the yield to maturity on a long-term bond is the A) coupon rate. B) current yield. C) cash flow interest rate. D) real interest rate.
B) current yield.
17) With an interest rate of 6 percent, the present value of $100 received one year from now is approximately A) $106. B) $100. C) $94. D) $92.
C) $94.
58) Suppose you are holding a 5 percent coupon bond maturing in one year with a yield to maturity of 15 percent. If the interest rate on one-year bonds rises from 15 percent to 20 percent over the course of the year, what is the yearly return on the bond you are holding? A) 5 percent B) 10 percent C) 15 percent D) 20 percent
C) 15 percent
42) If a $10,000 face value discount bond maturing in one year is selling for $5,000, then its yield to maturity is A) 5 percent. B) 10 percent. C) 50 percent. D) 100 percent.
D) 100 percent.
6) Which of the following are true of coupon bonds? A) The owner of a coupon bond receives a fixed interest payment every year until the maturity date, when the face or par value is repaid. B) U.S. Treasury bonds and notes are examples of coupon bonds. C) Corporate bonds are examples of coupon bonds. D) All of the above. E) Only A and B of the above.
D) All of the above.
21) For a simple loan, the simple interest rate equals the A) real interest rate. B) nominal interest rate. C) current yield. D) yield to maturity.
D) yield to maturity.
31) Which of the following are true for a coupon bond? A) When the coupon bond is priced at its face value, the yield to maturity equals the coupon rate. B) The price of a coupon bond and the yield to maturity are negatively related. C) The yield to maturity is greater than the coupon rate when the bond price is above the par value. D) All of the above are true. E) Only A and B of the above are true.
E) Only A and B of the above are true.
56) Which of the following are true concerning the distinction between interest rates and return? A) The rate of return on a bond will not necessarily equal the interest rate on that bond. B) The return can be expressed as the sum of the current yield and the rate of capital gains. C) The rate of return will be greater than the interest rate when the price of the bond falls between time t and time t + 1. D) All of the above are true. E) Only A and B of the above are true.
E) Only A and B of the above are true.
10) Interest-rate risk is the uncertainty that an investor faces because the interest rate at which a bond's future coupon payments can be invested is unknown.
Answer: FALSE
14) Bonds with a maturity that is longer than the holding period have no interest-rate risk.
Answer: FALSE
15) A bond with a 5% coupon has a yield to maturity of 5%.
Answer: FALSE
9) All else being equal, the greater the interest rate the greater the duration is.
Answer: FALSE
6) Prices for long-term bonds are more volatile than for shorter-term bonds.
Answer: TRUE
11) The concept of ________ is based on the notion that a dollar paid to you in the future is less valuable to you than a dollar today. A) present value B) future value C) interest D) deflation
A) present value
7) A long-term bond's price is less affected by interest rate movements than a short-term bond's price.
Answer: FALSE
1) A bond's current market value is equal to the present value of the coupon payments plus the present value of the face amount.
Answer: TRUE
13) Changes in interest rates make investments in long-term bonds risky.
Answer: TRUE
17) When the real interest rate is low, there are greater incentives to borrow and fewer incentives to lend.
Answer: TRUE
19) An indexed bond is a bond whose interest and/or principal payments are adjusted for changes in the price level.
Answer: TRUE
5) The current yield is the yearly coupon payment divided by the current market price.
Answer: TRUE
8) Increasing duration implies that interest-rate risk has increased.
Answer: TRUE
8) (I) A discount bond requires the borrower to repay the principal at the maturity date plus an interest payment. (II) A coupon bond pays the lender a fixed interest payment every year until the maturity date, when a specified final amount (face or par value) is repaid. A) (I) is true, (II) false. B) (I) is false, (II) true. C) Both are true. D) Both are false.
B) (I) is false, (II) true.
49) In which of the following situations would you prefer to be making a loan? A) The interest rate is 9 percent and the expected inflation rate is 7 percent. B) The interest rate is 4 percent and the expected inflation rate is 1 percent. C) The interest rate is 13 percent and the expected inflation rate is 15 percent. D) The interest rate is 25 percent and the expected inflation rate is 50 percent.
B) The interest rate is 4 percent and the expected inflation rate is 1 percent.
67) A discount bond A) is also called a coupon bond. B) is also called a zero-coupon bond. C) is also called a fixed-payment bond. D) is also called a corporate bond.
B) is also called a zero-coupon bond.
54) The return on a 10 percent coupon bond that initially sells for $1,000 and sells for $900 one year later is A) -10 percent. B) -5 percent. C) 0 percent. D) 5 percent.
C) 0 percent.
41) If a $10,000 face value discount bond maturing in one year is selling for $9,000, then its yield to maturity is approximately A) 9 percent. B) 10 percent. C) 11 percent. D) 12 percent.
C) 11 percent.
35) The yield to maturity on a consol bond that pays $200 yearly and sells for $1000 is A) 5 percent. B) 10 percent. C) 20 percent. D) 25 percent.
C) 20 percent.
27) Which of the following $1,000 face value securities has the highest yield to maturity? A) A 5 percent coupon bond selling for $1,000 B) A 10 percent coupon bond selling for $1,000 C) A 12 percent coupon bond selling for $1,000 D) A 12 percent coupon bond selling for $1,100
C) A 12 percent coupon bond selling for $1,000
5) (I) A simple loan requires the borrower to repay the principal at the maturity date along with an interest payment. (II) A discount bond is bought at a price below its face value, and the face value is repaid at the maturity date. A) (I) is true, (II) false. B) (I) is false, (II) true. C) Both are true. D) Both are false.
C) Both are true.
26) A $10,000, 8 percent coupon bond that sells for $10,100 has a yield to maturity ________. A) equal to 8 percent B) greater than 8 percent C) less than 8 percent D) that cannot be calculated
C) less than 8 percent
66) When the lender provides the borrower with an amount of funds that must be repaid to the lender at the maturity date, along with an additional payment for the interest, it is called a ________. A) fixed-payment loan B) discount loan C) simple loan D) none of the above
C) simple loan
70) The return on a bond is equal to the yield to maturity when A) the holding period is longer than the maturity of the bond. B) the maturity of the bond is longer than the holding period. C) the holding period and the maturity of the bond are identical. D) none of the above.
C) the holding period and the maturity of the bond are identical.
20) Financial economists consider the ________ to be the most accurate measure of interest rates. A) simple interest rate B) discount rate C) yield to maturity D) real interest rate
C) yield to maturity
18) The interest rate that equates the present value of the cash flow received from a debt instrument with its market price today is the A) simple interest rate. B) discount rate. C) yield to maturity. D) real interest rate.
C) yield to maturity.
9) If a $5,000 coupon bond has a coupon rate of 13 percent, then the coupon payment every year is A) $650. B) $1,300. C) $130. D) $13. E) None of the above.
A) $650.
16) With an interest rate of 8 percent, the present value of $100 received one year from now is approximately A) $93. B) $96. C) $100. D) $108. Answer: A
A) $93.
59) (I) Prices of longer-maturity bonds respond more dramatically to changes in interest rates. (II) Prices and returns for long-term bonds are less volatile than those for short-term bonds. A) (I) is true, (II) false. B) (I) is false, (II) true. C) Both are true. D) Both are false.
A) (I) is true, (II) false.
61) The riskiness of an asset's return that results from interest rate changes is called A) interest-rate risk. B) coupon-rate risk. C) reinvestment risk. D) yield-to-maturity risk.
A) interest-rate risk.
24) The yield to maturity of a one-year, simple loan of $400 that requires an interest payment of $50 is A) 5 percent. B) 8 percent. C) 12 percent. D) 12.5 percent.
D) 12.5 percent.
32) Which of the following are true for a coupon bond? A) When the coupon bond is priced at its face value, the yield to maturity equals the coupon rate. B) The price of a coupon bond and the yield to maturity are positively related. C) The yield to maturity is greater than the coupon rate when the bond price is above the par value. D) All of the above are true. E) Only A and B of the above are true.
A) When the coupon bond is priced at its face value, the yield to maturity equals the coupon rate.
74) An ex post real interest rate is adjusted for ________ changes in the price level. A) actual B) expected C) nominal D) real
A) actual
37) The current yield on a coupon bond is the bond's ________ divided by its ________. A) annual coupon payment; price B) annual coupon payment; face value C) annual return; price D) annual return; face value
A) annual coupon payment; price
3) A bond's future payments are called its A) cash flows. B) maturity values. C) discounted present values. D) yields to maturity.
A) cash flows.
48) The nominal interest rate minus the expected rate of inflation A) defines the real interest rate. B) is a less accurate measure of the incentives to borrow and lend than is the nominal interest rate. C) is a less accurate indicator of the tightness of credit market conditions than is the nominal interest rate. D) defines the discount rate.
A) defines the real interest rate.
68) The interest rate that is adjusted for actual changes in the price level is called the A) ex post real interest rate. B) expected interest rate. C) ex ante real interest rate. D) none of the above.
A) ex post real interest rate.
43) If a $5,000 face value discount bond maturing in one year is selling for $5,000, then its yield to maturity is A) 0 percent. B) 5 percent. C) 10 percent. D) 20 percent.
A) 0 percent.
10) An $8,000 coupon bond with a $400 annual coupon payment has a coupon rate of A) 5 percent. B) 8 percent. C) 10 percent. D) 40 percent. Answer: A
A) 5 percent.
25) A $10,000, 8 percent coupon bond that sells for $10,000 has a yield to maturity of A) 8 percent. B) 10 percent. C) 12 percent. D) 14 percent.
A) 8 percent.
57) If the interest rates on all bonds rise from 5 to 6 percent over the course of the year, which bond would you prefer to have been holding? A) A bond with one year to maturity B) A bond with five years to maturity C) A bond with ten years to maturity D) A bond with twenty years to maturity
A) A bond with one year to maturity
14) With an interest rate of 5 percent, the present value of $100 received one year from now is approximately A) $100. B) $105. C) $95. D) $90.
C) $95.
4) A credit market instrument that pays the owner the face value of the security at the maturity date and nothing prior to then is called a A) simple loan. B) fixed-payment loan. C) coupon bond. D) discount bond.
A) simple loan.
39) The yield to maturity for a one-year discount bond equals A) the increase in price over the year, divided by the initial price. B) the increase in price over the year, divided by the face value. C) the increase in price over the year, divided by the interest rate. D) none of the above.
A) the increase in price over the year, divided by the initial price.
16) The real interest rate is actually the ex ante real interest rate because it is adjusted for actual changes in the price level.
Answer: FALSE
2) Discounting the future is the procedure used to find the future value of a dollar received today.
Answer: FALSE
3) The current yield is the best measure of an investor's return from holding a bond.
Answer: FALSE
4) Unless a bond defaults, an investor cannot lose money investing in bonds.
Answer: FALSE
11) The real interest rate is equal to the nominal rate minus inflation.
Answer: TRUE
12) The current yield goes up as the price of a bond falls.
Answer: TRUE
52) What is the return on a 5 percent coupon bond that initially sells for $1,000 and sells for $900 one year later? A) 5 percent B) 10 percent C) -5 percent D) -10 percent E) None of the above
C) -5 percent
15) With an interest rate of 10 percent, the present value of a security that pays $1,100 next year and $1,460 four years from now is approximately A) $1,000. B) $2,000. C) $2,560. D) $3,000.
B) $2,000.
23) The yield to maturity of a one-year, simple loan of $500 that requires an interest payment of $40 is A) 5 percent. B) 8 percent. C) 12 percent. D) 12.5 percent.
B) 8 percent.
29) Which of the following $1,000 face value securities has the lowest yield to maturity? A) A 5 percent coupon bond selling for $1,000 B) A 7 percent coupon bond selling for $1,100 C) A 15 percent coupon bond selling for $1,000 D) A 15 percent coupon bond selling for $900
B) A 7 percent coupon bond selling for $1,100
65) The duration of a ten-year, 10 percent coupon bond when the interest rate is 10 percent is 6.76 years. What happens to the price of the bond if the interest rate falls to 8 percent? A) It rises 20 percent. B) It rises 12.3 percent. C) It falls 20 percent. D) It falls 12.3 percent.
B) It rises 12.3 percent. see page 60 and know formula
63) Reinvestment risk is the risk that A) a bond's value may fall in the future. B) a bond's future coupon payments may have to be invested at a rate lower than the bond's yield to maturity. C) an investor's holding period will be short and equal in length to the maturity of the bonds he or she holds. D) a bond's issuer may fail to make the future coupon payments and the investor will have no cash to reinvest.
B) a bond's future coupon payments may have to be invested at a rate lower than the bond's yield to maturity.
2) A coupon bond pays the owner of the bond A) the same amount every month until the maturity date. B) a fixed interest payment every period, plus the face value of the bond at the maturity date. C) the face value of the bond plus an interest payment once the maturity date has been reached. D) the face value at the maturity date. E) none of the above.
B) a fixed interest payment every period, plus the face value of the bond at the maturity date.
13) The process of calculating what dollars received in the future are worth today is called A) calculating the yield to maturity. B) discounting the future. C) compounding the future. D) compounding the present.
B) discounting the future.
73) The real interest rate is actually the ex ante real interest rate because it is adjusted for ________ changes in the price level. A) actual B) expected C) nominal D) real
B) expected
1) A loan that requires the borrower to make the same payment every period until the maturity date is called a A) simple loan. B) fixed-payment loan. C) discount loan. D) same-payment loan. E) none of the above.
B) fixed-payment loan.
12) Dollars received in the future are worth ________ than dollars received today. The process of calculating what dollars received in the future are worth today is called ________. A) more; discounting B) less; discounting C) more; inflating D) less; inflating
B) less; discounting
33) A consol bond is a bond that A) pays interest annually and its face value at maturity. B) pays interest in perpetuity and never matures. C) pays no interest but pays its face value at maturity. D) rises in value as its yield to maturity rises.
B) pays interest in perpetuity and never matures.
62) If an investor's holding period is longer than the term to maturity of a bond, he or she is exposed to A) interest-rate risk. B) reinvestment risk. C) bond-market risk. D) yield-to-maturity risk.
B) reinvestment risk.
71) Bonds whose term to maturity is shorter than the holding period are also subject to A) default. B) reinvestment risk. C) both of the above. D) none of the above.
B) reinvestment risk.
38) When a bond's price falls, its yield to maturity ________ and its current yield ________. A) falls; falls B) rises; rises C) falls; rises D) rises; falls
B) rises; rises
19) The interest rate that financial economists consider to be the most accurate measure is the A) current yield. B) yield to maturity. C) yield on a discount basis. D) coupon rate.
B) yield to maturity.
46) If you expect the inflation rate to be 5 percent next year and a one-year bond has a yield to maturity of 7 percent, then the real interest rate on this bond is A) -12 percent. B) -2 percent. C) 2 percent. D) 12 percent.
C) 2 percent.
40) If a $10,000 face value discount bond maturing in one year is selling for $8,000, then its yield to maturity is A) 10 percent. B) 20 percent. C) 25 percent. D) 40 percent.
C) 25 percent.
64) (I) The average lifetime of a debt security's stream of payments is called duration. (II) The duration of a portfolio is the weighted average of the durations of the individual securities, with the weights reflecting the proportion of the portfolio invested in each. A) (I) is true, (II) false. B) (I) is false, (II) true. C) Both are true. D) Both are false.
C) Both are true.
22) For simple loans, the simple interest rate is ________ the yield to maturity. A) greater than B) less than C) equal to D) not comparable to
C) equal to
72) A ________ is a type of loan that has the same cash flow payment every year throughout the life of the loan. A) discount loan B) simple loan C) fixed-payment loan D) interest-free loan
C) fixed-payment loan
45) If you expect the inflation rate to be 15 percent next year and a one-year bond has a yield to maturity of 7 percent, then the real interest rate on this bond is A) 7 percent. B) 22 percent. C) -15 percent. D) -8 percent. E) none of the above.
D) -8 percent.
53) The return on a 5 percent coupon bond that initially sells for $1,000 and sells for $1,100 one year later is A) 5 percent. B) 10 percent. C) 14 percent. D) 15 percent.
D) 15 percent.
34) The yield to maturity on a consol bond that pays $100 yearly and sells for $500 is A) 5 percent. B) 10 percent. C) 12.5 percent. D) 20 percent. E) 25 percent.
D) 20 percent.
51) What is the return on a 5 percent coupon bond that initially sells for $1,000 and sells for $1,200 one year later? A) 5 percent B) 10 percent C) -5 percent D) 25 percent E) None of the above
D) 25 percent
28) Which of the following $1,000 face value securities has the highest yield to maturity? A) A 5 percent coupon bond selling for $1,000 B) A 10 percent coupon bond selling for $1,000 C) A 15 percent coupon bond selling for $1,000 D) A 15 percent coupon bond selling for $900
D) A 15 percent coupon bond selling for $900
30) Which of the following are true for a coupon bond? A) When the coupon bond is priced at its face value, the yield to maturity equals the coupon rate. B) The price of a coupon bond and the yield to maturity are negatively related. C) The yield to maturity is greater than the coupon rate when the bond price is below the par value. D) All of the above are true. E) Only A and B of the above are true.
D) All of the above are true.
55) Which of the following are generally true of all bonds? A) The only bond whose return equals the initial yield to maturity is one whose time to maturity is the same as the holding period. B) A rise in interest rates is associated with a fall in bond prices, resulting in capital losses on bonds whose term to maturities are longer than the holding period. C) The longer a bond's maturity, the greater is the price change associated with a given interest rate change. D) All of the above are true. E) Only A and B of the above are true.
D) All of the above are true.
7) Which of the following are generally true of all bonds? A) The longer a bond's maturity, the lower is the rate of return that occurs as a result of the increase in the interest rate. B) Even though a bond has a substantial initial interest rate, its return can turn out to be negative if interest rates rise. C) Prices and returns for long-term bonds are more volatile than those for shorter-term bonds. D) All of the above are true. E) Only A and B of the above are true.
D) All of the above are true.
60) (I) Prices of longer-maturity bonds respond less dramatically to changes in interest rates. (II) Prices and returns for long-term bonds are less volatile than those for shorter-term bonds. A) (I) is true, (II) false. B) (I) is false, (II) true. C) Both are true. D) Both are false.
D) Both are false.
50) In which of the following situations would you prefer to be borrowing? A) The interest rate is 9 percent and the expected inflation rate is 7 percent. B) The interest rate is 4 percent and the expected inflation rate is 1 percent. C) The interest rate is 13 percent and the expected inflation rate is 15 percent. D) The interest rate is 25 percent and the expected inflation rate is 50 percent.
D) The interest rate is 25 percent and the expected inflation rate is 50 percent.
47) The nominal interest rate minus the expected rate of inflation A) defines the real interest rate. B) is a better measure of the incentives to borrow and lend than the nominal interest rate. C) is a more accurate indicator of the tightness of credit market conditions than the nominal interest rate. D) all of the above. E) only A and B of the above.
D) all of the above.
44) The Fisher equation states that A) the nominal interest rate equals the real interest rate plus the expected rate of inflation. B) the real interest rate equals the nominal interest rate less the expected rate of inflation. C) the nominal interest rate equals the real interest rate less the expected rate of inflation. D) both A and B of the above are true. E) both A and C of the above are true.
D) both A and B of the above are true.
69) The change in the bond's price relative to the initial purchase price is A) the current yield. B) coupon payment. C) yield to maturity. D) rate of capital gain.
D) rate of capital gain.
