Concept explainers
Introduction:
A bond is a security that creates an obligation on the issuer to make specified payments to the holder for a given period of time. The face value of the bond is the amount the holder will receive on maturity along with the coupon rate which is also known as the interest rate of the bond. Yield to maturity is defined as the discount rate that makes the present payments from the bond equal to its price. In simple terms, it is the average
To Discuss:
Bonds of Zello Corporation with a par value of $1000 sell for $960, mature in five years and have a 7% annual coupon rate paid annually. The reasoning for lower yields in this case is to be given.
Calculate the:
- Current Yield
- Yield to maturity
- Horizon yield for an investor with a three year holding period and a reinvestment rate of 6% over the period. At the end of three years the 7% coupon bonds with two years remaining will sell to yield 7%.
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Investments
- What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)arrow_forwardSuppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?arrow_forwardRarrow_forward
- The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy an annual coupon bond with a coupon rate of 8.4 percent for $895. The bond has 10 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? Note: Do not round Intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b-2. What is the HPY on your investment? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Rate of return b-1. Price b-2. Holding period…arrow_forwardThe YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy an annual coupon bond with a coupon rate of 8.4 percent for $825. The bond has 8 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. What is the HPY on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) X Answer is complete but not entirely correct. Rate of return…arrow_forwardThe YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond hasarrow_forward
- The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 8.6% annual coupon bond for $1,120. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %arrow_forwardThe YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy a bond with an annual coupon rate of 7 percent for $1,160. The bond has 15 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b- Two years from now, the YTM on your bond has declined by 1 percent, and you 1. decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b- What is the HPY on your investment? (Do not round intermediate calculations and 2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected rate of return b-1. Bond price b-2. HPY % I %arrow_forwardIn this question I want you think about what happens to bond prices over time. Suppose that you purchased a bond with the following characteristics:Face Value = $ 100,000, Annual payments, Coupon rate 6%, Maturity 20 years. Please answer the following questions:1 ptsS [1] The yield to maturity for similar bonds is 2%. Assume the yield remains at this level. [a] How much did you pay for the bond at time zero, (price of the bond at time 0)? [b] What is the price of the bond at time 1, after the first coupon has been paid?[cl What is the price at time 2? [d] is the price increasing or decreasing over time?[2] Now, assume that the YTM is 10%. Compute the prices at time 0, 1, and 2. Is the price increasing or decreasing over time?[3] Compare [1] and [2]. Is this what you expected? Why is the price falling in one of the cases, and increasing in the other? Is this going to be true for other bonds? Can you provide either a finance intuition or a math proof to support your claim?arrow_forward
- Suppose you purchase a $1000 Face-Value Zero-Coupon Bond with maturity 30 years and yield to maturity 4% quoted with annual compounding. Show the bond cash flows on a time line and compute the current price of the bond Draw a graph to illustrate how the price of this bond will change as it gets closer to maturity – Price (on y axis) vs Time (on x axis). Why is a zero-coupon bond more sensitive to interest rate changes than similar coupon bearing bonds (2 or 3 sentences)?arrow_forwardThe YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bon before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy an annual coupon bond with a coupon rate of 8 percent for $815. The bond has 7 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.1m b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b-2. What is the HPY on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.1 Answer is complete but not entirely correct. 12.00 %…arrow_forwardSuppose a bond that has semiannual coupons is selling for $10,500. It has 7 years left until maturity. Its par value is $10,000 and its YTM is 7%. What is this bond’s annual coupon rate? (Show Work)arrow_forward
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