The graph which shows the relationship between yields and maturities on a particular date is known as the yield curve, and this relationship is simply called the term structure of securities. The yield curve could be upward sloping where the long-term yields are higher than the short-term yields and is also known as normal yield curve. However, if the long-term yields are lower than the short-term yields then the slope with be downward sloping and is referred to as inverted or abnormal yield curve.
Interest rate consists of risk-free rate, real risk-free rate and inflation premium, and a risk premium such as liquidity risk (LP), default risk (DRP) and maturity risk (MRP). Since, real risk-free rate generally remains constant, it is the changes in the expectation of risk premium and inflation which affects the interest rate of the security. Hence, inflation expectation is the most significant reason for changes in yield and determination of yield curve.
Interest rate or yield on treasuries can be determined using the below equation, where default risk premium DRP and liquidity premium (LP) is zero, as treasuries are considered as liquid and default free investment. Maturity risk premium (MRP) is there as they have differing maturity securities issued.
Expectation theory states that the shape of the yield curve depends on the expectation of future inflation rate and hence an increasing inflation rate will result in an upward sloping curve whereas a decreasing rate would result in downward sloping curve.
Yield on any bond is the average of the interest rates that is expected during its life and hence the yield of a bond with n year to maturity will be as below:
Here,
Interest rate for the first year of bond’s remaining life is “
Interest rate for the second year of bond’s remaining life is “
and so on.
Annual risk-free rate for 2019, 2020 and 2021 would be 2.2%, 1.8% and 2.9% respectively. The bonds have no other risks.
Trending nowThis is a popular solution!
- A Treasury bond that settles on August 10, 2019, matures on August 3, 2024. The coupon rate is 4.3 percent and the quoted price is 103 5/32. What is the bond’s yield to maturity? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)arrow_forwardA bond that settles on June 7, 2019, matures on July 1, 2039, and may be called at any time after July 1, 2029, at a price of 156. The coupon rate on the bond is 7.2 percent and the price is 169.00. What are the yield to maturity and yield to call on this bond? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Yield to maturity Yield to call % %arrow_forwardA bond that settles on June 7, 2022, matures on July 1, 2042, and may be called at any time after July 1, 2032, at a price of 185. The coupon rate on the bond is 6.6 percent and the price is 200.50. What are the yield to maturity and yield to call on this bond?arrow_forward
- You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2019 and the bond has a par value of $1,000. Maturity Mo/Yr Ask Yld Rate Bid Asked 103.5462 103.5340 Chg ?? May 29 5.999 104.4952 104.6409 +.4293 6.252 May 34 ?? +.5405 6.163 May 44 ?? ?? 4.031 a. In the above table, find the Treasury bond that matures in May 2044. What is the asked price of this bond in dollars? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. If the bid-ask spread for this bond is .0654, what is the bid price in dollars? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Asked price b. Bid price +.3015arrow_forwardA bond that settles on June 7, 2019, matures on July 1, 2039, and may be called at any time after July 1, 2029, at a price of 146. The coupon rate on the bond is 6.8 percent and the price is 160.00. What are the yield to maturity and yield to call on this bond? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)arrow_forwardConsider a T-bond maturing in March 2020 with coupon payments on September 1st and March 1st. Assume that the bond has $1000 par value, 10% coupon rate, and YTM = 12.5%. The bond is traded on December 13, 2013. What is the Accrued Interest? What is the full price? What is the flat price?arrow_forward
- A bond that settles on June 7, 2022, matures on July 1, 2042, and may be called at any time after July 1, 2032, at a price of 166. The coupon rate on the bond is 7.6 percent and the price is 178.00. What are the yield to maturity and yield to call on this bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Yield to maturity Yield to call Answer is not complete. 3.00 X% %arrow_forwardToday is December 1, 2019. A bond with a coupon rate of 7.6% has an invoice price of $1,088. The issue date on the bond is May 1, 2018, and the maturity date on the bond is May 1, 2028. The bond makes semi-annual coupon payments on May 1 and November 1. What is the clean price on this bond?arrow_forwardYou find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2019 and the bond has a par value of $1,000. Rate ?? 5.324 6.173 Maturity Mo/Yr May 29 a. Asked price b. Bid price May 34 May 44 Bid Asked 103.5488 103.5366 104.4978 104.6435 ?? Chg +.3041 +.4317 ?? +.5431 Ask Yld 6.039 ?? 4.071 a. In the above table, find the Treasury bond that matures in May 2044. What is the asked price of this bond in dollars? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. If the bid-ask spread for this bond is .0538, what is the bid price in dollars? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)arrow_forward
- A bond that settles on June 7, 2022, matures on July 1, 2042, and may be called at any time after July 1, 2032, at a price of 180. The coupon rate on the bond is 6.4 percent and the price is 196.00. What are the yield to maturity and yield to call on this bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.arrow_forwardThe next coupon date that follows the settlement date of a bond is 28 October 2021. The half-yearly coupon rate is 7,375%. The accrued interest equals R5,49589%. If this is a cum interest case, the settlement date for this bond is [1] 11 September 2021. [2] 14 June 2021. [3] 30 July 2021. [4] 29 August 2021. [5] none of the abovearrow_forwardA Treasury bond that settles on August 10, 2022, matures on January 15, 2028. The coupon rate is 5.2 percent and the quoted price is 110 11/32. What is the bond's yield to maturity? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Yield to maturityarrow_forward
- Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning