TB TF Qu. 3-30 The yield to maturity on a bond is really... The yield to maturity on a bond is really its internal rate of return. True or False True False
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- Question 3. A fixed rate bond with notional 1 pays annual coupons of c at times T1, T2, . . . , Tn where Ti+1 = Ti + 1 and notional 1 at time Tn. a) Write down the bond price BFXD c (t) at time t ≤ T0 in terms of ZCBs. b) Suppose t = T0 = 0. The yield of the bond is defined as the value Y such that B FXD c (0) = Xn i=1 c (1 + Y ) i + 1 (1 + Y ) n , that is, the rate at which IRR discounting gives the bond price. By summing a geometric series, show that BFXD c (0) = 1 if and only if Y = c. c) By writing a swap as the difference between a fixed rate bond and a floating rate bond, show that BFXD c (0) = 1 if and only if c = y0[0, Tn]. Remark 1. This exercise shows that the T-year spot swap rate is the bond coupon such that a T-maturity bond has price par, that is 100% of notional.Which of the following statements is/are most CORRECT? O 11 A yield curve depicts the relationship between bond's 'time to maturity and its yield to maturity. 2) A premium bond's price will decline over time if the required return remains unchanged. 3) A discount bond's price will decline over time if the required return remains unchanged. 4) Both a and b are correct.Looking at the bond issue selected, why are the current yield and yield to maturity numbers different? Briefly explain in words the difference between these two terms.
- 2. Bond prices and yields (S3.1) The following statements are true. Explain why. a. If a bond's coupon rate is higher than its yield to maturity, then the bond will sell for more than face value. b. If a bond's coupon rate is lower than its yield to maturity, then the bond's price will increase over its remaining maturity.A bond’s expected return is sometimes estimated by its yield to maturity (YTM) and sometimes by its yield to call (YTC). The YTC is a better estimate when the bond sells at... a. a discount. b. a premium. c. par value.K Bonds are priced in the market so that their A. stated rate B. yield OC. discount OD. par value is the same as the market rate of interest.
- the par value. When the is higher than the coupon rate, the bond sells at a O a. time to maturity; premium over O b. time to maturity; discount to Oc yield to maturity; premium over O d. yield to maturity; discount to CONTACT US 2 Type here to search W2 The rate of return earned on a bond if it is held until maturity is its: Group of answer choices sinking fund yield. yield-to-maturity. coupon payment. yield-to-call.Which of the following statements regarding bonds and their terms is FALSE? *** OA. When we calculate a bond's yield to maturity by solving the formula, Coupon Coupon Coupon + Face Price of an n-period bond = (1 + )" + + + MA (1+)¹ (1+)² the yield we compute will be a rate per coupon interval. OB. The internal rate of return (IRR) of an investment in a zero-coupon bond is the rate of return that investors will earn on their money if they buy a default - free bond at its current price and hold it to maturity. OC. The yield to maturity of a bond is the discount rate that sets the future value (FV) of the promised bond payments equal to the current market price of the bond. OD. Financial professionals also use the term spot interest rates to refer to the default - free zero- coupon yields.
- 3. Bond prices and yields (S3.1) Construct some simple examples to illustrate your answers to the following: a. If interest rates rise, do bond prices rise or fall? b. If the bond yield to maturity is greater than the coupon, is the price of the bond greater or less than 100? c. If the price of a bond exceeds 100, is the yield to maturity greater or less than the coupon?Calculating the risk premium on bonds The text presents a formula where (1+1) = (1-p)(1 +i+x) + p(0) where i is the nominal interest rate on a riskless bond x is the risk premium p is the probability of default (bankruptcy) If the probability of bankruptcy is zero, the rate of interest on the risky bond is When the nominal interest rate for a risky borrower is 8% and the nominal policy rate of interest is 3%, the probability of bankruptcy is %. (Round your response to two decimal places.) When the probability of bankruptcy is 6% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) When the probability of bankruptcy is 11% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) The formula assumes that payment upon default is zero. In fact, it is often positive. How would you change the formula in this case?…4. The following statements describe the general characteristics of price of the coupon bond. Which one is false? a. When the market interest rate falls, the bond price rises. b. The value of bond can be computed as the sum of PDV (present discount value) of all the remaining future payments associated with it. c. When the market interest rate is the same as the coupon rate, the value of bond equals the face value. d. The face value and the coupon rate are fixed for the life of the bond. None of the above are false. е.