What is duration of bond? Why is it important?
Duration is a way of measuring how much bond prices are likely to change if and when interest rates move. In more technical terms, duration is measurement of interest rate risk. If a bond has a duration of 6 years, for example, its price will rise about 6% if its yield drops by a percentage point (100 basis points), and its price will fall by about 6% if its yield rises by that amount.
A bond's duration changes with time and as its price and yield change, however Duration measures the time it takes to recover half the present value of all future cash flows from the bond. The discount rate for calculating the present value of the cash flows is the bond's yield. So as a bond's price and yield change, so does its duration.
Understanding duration is particularly important for those who are planning on selling their bonds prior to maturity. If you purchase a 10-year bond that yields 4% for $1,000, you will still receive $40 dollars each year and will get back your $1,000 principal after 10 years regardless of what happens with interest rates. If, however, you sell that bond before maturity (or if you are invested in a fund that buys and sells bonds while you own it) then the price of your bonds will be affected by changes in rates.
Duration is important
Because every bond and bond fund has duration, those numbers can be a useful tool that you and your financial professional can use to compare bonds and bond funds as you construct and adjust your investment portfolio.
If, for example, you expect rates to rise, it may make sense to focus on shorter-duration investments (in other words, those that have less interest-rate risk). Or, in this sort of environment, you may want to focus on bonds that take on different types of risks, such as the Strategic Income Opportunities Fund, which is less affected by movements in interest rates.
It's also important to remember that duration is only one of many factors that could affect the price of your bonds. And that's why we think it's important to work with a financial professional who can help you construct a portfolio that's built to meet your individual goals.
By providing a way to estimate the effect of certain market changes on a bond's price, duration can help you choose investments that might better meet your future cash needs. Duration also helps income investors who want to take on minimal interest rate risk (that is, they believe interest rates might rise) understand why they should consider bonds with high coupon payments and shorter maturities.
6) Please explain what is meant by the duration and convexity of a bond. How do we go about deriving the duration and convexity of the bond? Why is it so important that we are able to calculate these properties for determining the interest rate risk of my securities? Explain other applications of calculus that was used in the program
a. What is the duration of a zero-coupon bond that has twelve years to maturity? Duration of the bond years b. What is the duration if the maturity increases to 14 years? Duration of the bond years c. What is the duration if the maturity increases to 16 years? Duration of the bond years
Bond Duration: What is the duration of a bond with 7% discount rate, 3-year maturity, and 10% coupon paid annually?
What is meant by duration of a bond? Describe the steps followed in finding the duration of a bond in Excel when built-in Excel functions are not used.
b) Consider a risk-free bond. “Macaulay duration is a weighted average of the times to payment of a bond's cashflows and therefore is a natural measure of a bond's interest rate risk.” Assess this statement, paying particular attention to why times to cashflow are important for the determination of interest rate risk and why the particular mathematical form of the duration measure is the right way to measure such risk.
a. What is the duration of a zero-coupon bond that has eight years to maturity? b. What is the duration if the maturity increases to 10 years? c. What is the duration if the maturity increases to 12 years? a. Duration of the bond b. Duration of the bond c. Duration of the bond years years years
What is the duration of a bond with two years to maturity if the bond has a coupon rate of 7.5 percent paid semiannually, and the market interest rate is 5.5 percent? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.) Duration
#10 a. What is the duration of a zero-coupon bond that has seven years to maturity? b. What is the duration if the maturity increases to 9 years? c. What is the duration if the maturity increases to 11 years? points years eBook a. Duration of the bond b. Duration of the bond c. Duration of the bond years years Print References
What is the duration of a bond with three years to maturity and a coupon of 7.1 percent paid annually if the bond sells at par? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.) Duration
What are bond ratings and why are they important? How does inflation affect interest rates? What is the term structure of interest rates?