a bond has an annual modified duration of 6.25 years and an annual convexity of 45.25. If the bond's yield to maturity decreases by 50 basis points, the expected percentage price change is closest to: a)3.07% b)-3.07% c)-2.65%
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a bond has an annual modified duration of 6.25 years and an annual convexity of 45.25. If the bond's yield to maturity decreases by 50 basis points, the expected percentage price change is closest to:
a)3.07%
b)-3.07%
c)-2.65%
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- A bond's modified duration is 6.7 years, its convexity is 223.5, and its yield to maturity is 4.4% per year. By what percent will the bond's price change, if its yield to maturity decreases by 200 basis points? 1) 14.8% 2) 16.7% 3) 17.9% 4) 15.5% 5) 17.4%Assuming annual coupon payment, a 3-year 8% coupon bond has a yield to maturity 9 percent. What is the duration? If market rate decrease by 0.75%, what’s the percentage change in bond price using the duration estimation approach?Consider a bond selling at par with modified duration of 10.6 years and convexity of 210. A 2% decrease in yield would cause the price to increase by 21.2%, according to the duration rule. What would be the percentage price change according to the duration-with-convexity rule? O [A] 21.2% O [B] 25.4% O [C] 17.0% O [D] 10.6%
- 1. Suppose a bond has duration of 6 years, and a current yield to maturity of 10%. If the yield to maturity declines to 9.75%, the resulting percentage change in the price of the bond is?Assume that A six-year bond with a yield of 10% (continuously compounded) pays an 8% coupon at the end of each year. (a) What is the bond’s price? (b) What is the bond’s duration? What is the bond’s modified duration? (c) Use the duration to calculate the effect on the bond’s price of a 0.15% decrease in its yield.A 10-year maturity bond making annual coupon payments with a coupon rate of 5% andcurrently selling at a yield to maturity of 4% has a convexity of 145.4. a. Compute the Modified Duration of the bond.b. Based on the information above, compute the approximated new price using the Duration& Convexity adjustment if the yield to maturity increases by 75 basis points.c. What is the percentage error?
- A bond currently sells for 1,200, which gives it a yield to maturity of 8%. Suppose that if the yield increases by 25 basis points, the price of the bond declines to 1,155. Based on this price change, what is the duration of the bond? How do i calculate this?1. Consider the following bond that pays coupon interest semi-annually. Coupon Yield to maturity Maturity (Years) Par Value Bond 8% 6% 2 $100 a) What is the price value of a basis point? Assuming one basis point decrease. b) Compute the Macaulay duration theoretically. What is the modified duration? c) Compute the approximate duration by increasing yield by 20 basis points and compare your answers with those calculated in part (b). d) Compute the convexity measure theoretically. e) When the yield increases by 20 basis points, what is the new bond price? What is the estimated bond price using duration calculated in part (b)? What is the estimated bond price using duration calculated in part (b) together with the convexity calculated in part (d)?The function s(t) = 0.16 − 0.04 e− t/4 provides the term structure of effective annual rates of zero coupon bonds of maturity t, with t in years. Find the following: (a) The effective annual rate of a 3 year zero coupon bond. (b) The 2-year forward effective annual rate for a one year period. (c) The forward effective annual rate for a one year period, 3 years forward. (d) The 3-year forward effective annual rate for a 3 month period. (e) The forward effective annual rate for a one day period, 3 years forward (the “overnight” rate).(Use 1/365 for a one-day period.)
- Consider a bond that pays annually an 8% coupon with 20 years to maturity. The percentage change in the price of the bond if its yield to maturity increases from 5% to 7% is closest to: A. −22.5%. B. 22.5%. C. −19.5%. D. 24.5%.Assume that the real risk-free rate of return, k*, is 3%, and it will remain at that level far into the future. Also assume that maturity risk premiums (MRP) increase from zero for bonds that mature in one year or less to a maximum of 1%, and MRP increases by 0.2% for each year to maturity that is greater than one year-that is, MRP equals 0.2% for two-year bond, 0.4% for a three-year bond, and so forth. Following are the expected inflation rates for the next five years: Year Inflation Rate (%) 2017 5 2018 6 2019 7 2020 8 2021 9 a) Compute the interest rate for a one-, two-, three-, four-, and five-year bond. b) If inflation is expected to equal 9% every year after 2021, what should be the interest rate for a 10- and 20-year bond? c) Plot the yield curve for the interest rates you computed in part [a] and [b]. d) Based on the curve (in part c), interpret your findings.If the current yield of a bond goes down from 6.1% to 4.5%, by what percent does the market price increase?