A bond's duration is 4.5 and its convexity is 87.2. If interest rates rise 100 basis points, what is the bond's approximate percentage price change (due to both duration and convexity)?
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- 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.)A bond has a Macaulay duration of 12.00 and is priced to yield 10.0%. If interest rates go up so that the yield goes to 10.5%, what will be the percentage change in the price of the bond? Now, if the yield on this bond goes down to 9.5%, what will be the bond's percentage change in price? Comment on your findings.Given the following information, what is the approximate convexity measure for the bond if the yield changes by 90 basis points? Coupon rate 5% YTM 7% Maturity (in years) 5 FV $1,000
- Using the formula given below: Rbonds =( F − P)/P, if the market price of a $1,200-face-value discount bond changes from $900 to $925, the yield to maturity decreases or increases by enter your response here%. (Round your response to two decimal places.)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?Suppose the current price of the bond is $95, the YTM is 4%, and the duration of the bond is 9. If YTM decrease from 4% to 3.9%, approximate the change in price using duration of the bond. Price would increase by ____%
- If the coupon rate on a bond is 8 percent and current market interest ratesare 6 percent, should this bond be selling at a premium or a discount?Assuming annual interest payments and a principal value of $100, what is the value of a 5-year 6.4% coupon bond when the discount rate is i) 4.6%, ii) 6.4%, and iii) 7.6% ? Show that your results are consistent with the relationship between the coupon rate, discount rate, and price relative to par value.Suppose the yield on a two-year-old Treasury bond is 5 percent and the yield on a one-year Treasury bond is a 4 percent. If the maturity risk premium (MRP) on these bonds is zero (0), what is the expected one-year interest rate during the second year (Year 2)?
- A bond sells for $1000 and has a coupon rate of 9.04%. What is the bond's yield?A bond has a yield to maturity of 9.28 percent. If the inflation rate is 2.0 percent, what is the real rate of return on the bond?A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.