All questions
Question 1
The existence of a call feature on a bond is most advantageous to the:
- bondholder, because it guarantees a return of principal before maturity.
- issuer, because it allows them to refinance debt at lower rates. (correct answer)
- trustee, because it simplifies the administration of the bond.
- underwriter, because it makes the bond easier to sell.
Explanation: A call feature gives the issuer the right, but not the obligation, to redeem the bond before its scheduled maturity date. This is advantageous to the issuer, as it provides the flexibility to refinance its debt if interest rates fall.
Question 2
A 20-year, 8% corporate bond is callable in 5 years at 102. If the bond is currently trading at 106, which yield would be the lowest?
- Nominal Yield
- Current Yield
- Yield to Maturity
- Yield to Call (correct answer)
Explanation: For a bond trading at a premium, the yields are ranked from highest to lowest: Nominal Yield (8%), Current Yield (80/1060 = 7.55%), Yield to Maturity, and Yield to Call. The YTC is the lowest because the investor pays the largest premium (106) but may only get back the call price (102) in a shortened time frame, reducing the overall return.
Question 3
A corporate bond with a 6% coupon is trading at a price of 95. Which of the following statements regarding its yields is correct?
- The nominal yield is greater than the yield to maturity.
- The current yield is less than the nominal yield.
- The yield to maturity is greater than the current yield. (correct answer)
- The nominal yield is equal to the current yield.
Explanation: When a bond trades at a discount (price below 100), the order of its yields from highest to lowest is: Yield to Maturity (YTM), Current Yield (CY), and Nominal Yield (NY). Therefore, the YTM is greater than the current yield.
Question 4
An investor purchases a bond trading at 105. Which of the following yield relationships is true for this bond?
- The nominal yield is the highest yield. (correct answer)
- The yield to maturity is higher than the current yield.
- The current yield is equal to the nominal yield.
- The yield to call is the highest possible yield.
Explanation: When a bond trades at a premium (price above 100), its nominal yield (the coupon rate) is the highest of its yields. The order from highest to lowest is: Nominal Yield (NY), Current Yield (CY), Yield to Maturity (YTM), and Yield to Call (YTC).
Question 5
An investor buys a 5% corporate bond with a par value of $1,000 at a price of $900. What is the bond's current yield?
- 5.00%
- 5.56% (correct answer)
- 4.50%
- 10.00%
Explanation: Current yield is calculated as the annual interest payment divided by the current market price. The annual interest is 5% of $1,000 par, which is 50. The current yield is \(50 / $900 = 0.0555...), or 5.56%.
Question 6
An investor purchases a $1,000 par value bond with a stated interest rate of 7%. The bond is currently trading at 103. What is the nominal yield of this bond?
- 6.80%
- 7.00% (correct answer)
- 7.21%
- Cannot be determined from the information provided.
Explanation: The nominal yield, also known as the coupon rate, is the fixed annual interest rate stated on the face of the bond. It does not change with the market price of the bond. In this case, it is 7%.
Question 7
A 10-year bond with a 5% coupon is quoted at 101. This bond is trading at:
- a discount, and its YTM is less than 5%.
- a premium, and its YTM is less than 5%. (correct answer)
- a discount, and its YTM is more than 5%.
- a premium, and its YTM is more than 5%.
Explanation: A price quote over 100 (par) means the bond is trading at a premium. For any bond trading at a premium, its yield to maturity (YTM) will be lower than its nominal yield (coupon rate), which is 5% in this case.
Question 8
A U.S. Treasury note is purchased with a yield to maturity of 3.5%. This means the investor will receive:
- a 3.5% return annually, based on the current market price only.
- a total annualized return of 3.5% if the note is held to maturity. (correct answer)
- a fixed interest payment equal to 3.5% of the note's par value each year.
- a guaranteed capital gain of 3.5% at maturity.
Explanation: Yield to maturity (YTM) represents the total anticipated return on a bond if it is held until it matures. This return includes all interest payments from the coupon plus any capital gain or loss (the difference between the purchase price and par value). It is expressed as an annualized percentage.
Question 9
For which of the following bonds would an investor be most interested in the yield to call (YTC)?
- A 4% bond trading at 96, callable at 100.
- A 7% bond trading at 108, callable at 102. (correct answer)
- A zero-coupon bond trading at a deep discount.
- A 5% bond trading at par, callable at par.
Explanation: Yield to call is the most relevant yield calculation for a bond trading at a premium that is likely to be called by the issuer. The issuer would call the 7% bond to refinance at lower rates. For discount bonds, YTM is more relevant, and for a bond at par, YTC and YTM are the same.
Question 10
If a bond's current yield is lower than its nominal yield, the bond must be:
- trading at a price above its par value. (correct answer)
- trading at a price below its par value.
- a zero-coupon bond.
- approaching its maturity date.
Explanation: Current Yield = Annual Interest / Market Price. Nominal Yield = Annual Interest / Par Value. If the current yield is lower than the nominal yield, the denominator (Market Price) must be larger than the par value. Therefore, the bond is trading at a premium.
Question 11
An investor holds several high-coupon corporate bonds that are called by the issuer during a period of declining interest rates. The investor now faces which primary risk when trying to replace this income stream?
- Credit risk
- Liquidity risk
- Political risk
- Reinvestment risk (correct answer)
Explanation: Reinvestment risk is the risk that an investor will not be able to reinvest cash flows (like interest payments or principal from a called bond) at a rate comparable to their current rate of return. This risk is most acute when interest rates are falling.
Question 12
An investor is analyzing a 10-year bond with a 6% coupon, trading at 104. The bond is callable in 3 years at 101. To make a conservative investment decision, the investor should primarily consider the:
- nominal yield.
- current yield.
- yield to maturity.
- yield to call. (correct answer)
Explanation: For a bond trading at a premium, the yield to call (YTC) will be lower than the yield to maturity (YTM). This represents the 'yield to worst,' or the most conservative potential return, as the issuer is likely to call the bond at the first opportunity. Therefore, a prudent investor would focus on the YTC.
Question 13
An investor purchased a bond when its yield to maturity was 5%. A year later, the bond's yield to maturity is 4%. Assuming no change in the bond's credit quality, the market price of the bond has most likely:
- decreased.
- increased. (correct answer)
- remained the same.
- become equal to its par value.
Explanation: Bond prices and yields move in opposite directions. Since the bond's yield to maturity has decreased from 5% to 4%, its market price must have increased.
Question 14
Two bonds have the same maturity date and credit quality. Bond A has a 2% coupon, and Bond B has a 6% coupon. If interest rates fall by 1%, which bond will experience a greater percentage increase in price?
- Bond A (correct answer)
- Bond B
- Both will experience the same percentage increase.
- The price change is unrelated to the coupon rate.
Explanation: Bonds with lower coupons have longer durations and are more sensitive to changes in interest rates. A larger portion of the low-coupon bond's total return comes from the principal repayment at maturity, making its present value more affected by interest rate changes. Therefore, Bond A will experience a greater price increase.
Question 15
All other factors being equal, which of the following bonds will experience the greatest price percentage change in response to a 1% change in market interest rates?
- A bond with a 5-year maturity.
- A bond with a 10-year maturity.
- A bond with a 20-year maturity. (correct answer)
- A bond maturing in one year.
Explanation: Longer-term bonds have greater price volatility (or duration) than shorter-term bonds. This means their prices are more sensitive to changes in interest rates. Therefore, the 20-year bond will experience the largest price fluctuation.
Question 16
If prevailing interest rates in the market increase, what is the most likely impact on the price of existing bonds?
- The prices will increase.
- The prices will decrease. (correct answer)
- The prices will remain unchanged.
- The impact cannot be determined without the coupon rate.
Explanation: There is an inverse relationship between interest rates and the prices of existing bonds. When new bonds are being issued with higher interest rates (yields), existing bonds with lower fixed coupons become less attractive, causing their market prices to fall.
Question 17
Which statement is true regarding the yield of a zero-coupon bond?
- Its current yield is always equal to its yield to maturity.
- Its nominal yield is zero. (correct answer)
- It has no yield to maturity because it pays no interest.
- Its yield is fixed and does not change with market prices.
Explanation: A zero-coupon bond does not make periodic interest payments. Its coupon rate, and therefore its nominal yield, is 0%. An investor's return comes from the appreciation of the bond's price from the discounted purchase price to the par value at maturity.
Question 18
If a bond is purchased at its par value, which of the following statements is true regarding its yields?
- The current yield will be higher than the nominal yield.
- The yield to maturity will be lower than the current yield.
- The nominal yield, current yield, and yield to maturity are all equal. (correct answer)
- The nominal yield will be the lowest of all yield measures.
Explanation: When a bond is purchased at par ($1,000), the investor pays face value. Therefore, the nominal yield (coupon rate), current yield (annual interest / market price), and yield to maturity (total return) are all the same.
Question 19
A broker informs a client that a particular bond has a yield to maturity of 5.5% and a coupon rate of 4.5%. The bond is most likely trading:
- at par.
- at a premium.
- at a discount. (correct answer)
- flat, without accrued interest.
Explanation: When the yield to maturity (YTM) is greater than the coupon rate (nominal yield), it means the investor's total return is supplemented by a capital gain at maturity. This only occurs when the bond is purchased for less than its par value, i.e., at a discount.
Question 20
An investor purchases a 20-year Treasury bond with a 4% coupon. A year later, similar new bonds are being issued with 6% coupons. The market value of the investor's 4% bond has likely:
- increased due to its longer maturity.
- decreased due to interest rate risk. (correct answer)
- remained stable because it is a Treasury bond.
- increased because its coupon is now more attractive.
Explanation: This scenario describes interest rate risk. When rates for new bonds rise, existing bonds with lower coupons become less desirable, causing their market price to fall to a level where their yield becomes competitive with new issues.