Consider a 5-year bond paying 6% coupon annually. The yield is 9%. Use the duration approximation to find the percentage change in price if the interest rises by 25 basis points.
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Q)Consider a 5-year bond paying 6% coupon annually. The yield is 9%. Use the duration approximation to find the percentage change in price if the interest rises by 25 basis points.
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- Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?Current Yield for Annual Payments Heath Food Corporations bonds have 7 years remaining to maturity. The bonds have a face value of 1,000 and a yield to maturity of 8%. They pay interest annually and have a 9% coupon rate. What is their current yield?Yield to Maturity and Yield to Call Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?
- For a company, you plan to buy the following bond: Time to maturity, 6 years; coupon rate, 8%; Coupon payment, annual; Market interest rate, 8%; Face value, $1,000. Using Excel, calculate the duration of the bond. Using Excel, calculate the accumulated value of invested payment(or receipt) when you find market interest rate a year later is now 8%, 9%, and 7%, respectively. Using Excel, calculate geometric average rate of return (or realized compound return).Suppose the current forward curve for one-year rates is the following: Time Period Forward Rate f(0,1) 2.5% f(1,1) 3.6% f(2,1) 4.5% f(3,1) 5.1% Calculate the spot rates for 2-year, 3-years and 4-year spot rates Calculate the forward rates f(1, 2), f(1, 3), and f(2, 2) 3) Use the information to value a 4-year bond that pays 4.5% annual coupons.Suppose that a 10-year bond pays semiannual coupons that increase by 4 dollars with each coupon. If the first coupon is for 25 dollars, the yield rate is 8.4 percent convertible semiannually, and the redemption value is 2000 dollars, find the price of 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.You hold a 14 year bond that is callable in 4 years. The call premium is one semi-annual coupon payment, and the coupon rate is0.14. The current YTM is 0.04. What is the yield to call? Group of answer choices -0.0675 -0.0615 -0.0635 -0.0588 -0.0654Consider a bond that pays a 10% coupon rate of interest, has a par value of 1,000 and matures in 4 years. Suppose also that the market rate of interest for such a bond (required rate of return) is 8%. Calculate the intrinsic value or the price of the bonds? (round off your answer to the nearest whole number).
- 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?Suppose that a 5-year 6% bond is purchased between the issuance date and the first coupon date. The days between the settlement date and the next coupon period is 60. There are 90 days in the coupon period given that the coupons are paid quarterly. Suppose the discount rate is 4%. What is the dirty price, clean price, and accrued interest?Consider two zero coupon bonds. Both have face values of $100. Bond A pays its face value in 8 years, and Bond B pays its face in 2 years. If interest rates change from 9% to 8%, what is the percentage change in the long maturity bond's price minus the percentage change in the short maturity bond's price? Express your answer in percentage form rounded to one decimal place.