The YTMs of coupon bonds are: YEAR 1 2 3 5 YTM 12 1.25% 2.25% 2.75% 4.50% 7% All bonds have a 4% coupon. What are the YTMs of the 1 through 12 year zero coupon bonds? Assume the YTMs for the 4 and 5 year zero coupon bonds are the same. Assume the YTMs for the 6 through 12 year zero coupon bonds are the same.
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- c) Suppose you observe the following three bonds. Assume that all bonds are denominated at $100 face value per contract and that they pay their coupons annually. Price Coupon Maturity (years) Bond A 111.42 15 3 Bond B 108.33 15 Bond C 116.61 15 1 i) Compute the spot rates r0,1, r0,2 and r0,3. ii) Compute the forward rates r1,2 and r2,3.The YTMS of coupon bonds are: YEAR YTM 1 1.25% 2 2.25% 3 2.75% 4.50% 14 8% What are the YTMS of the 1 through 14 year zero coupon bonds? Assume the YTMS for the 4 and 5 year zero coupon bonds are the same. Assume the YTMS for the 6 through 14 year zerO coupon bonds are the same.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 ____%
- Consider the following bonds: •Bond A: A 2-year zero-coupon bond with a face value of $100 and 6% YTM. •Bond B: A 2-year par-value bond with a face value of $100 and 6% coupon rate. *Bond C: A 2-year par-value bond with a face value of $100 and 7% coupon rate. Suppose the yield curve shifts upwards by one percent. Which bond among bonds A, B, and C will experience the largest percentage price change? Which will have the lowest percentage price change? O a. Bond A; Bond C O b. Bond A; Bond B O c. Bond B; Bond C O d. Bond C; Bond BThe following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105Suppose you are provided with the following table of spot rates of different maturity bonds: Year Spot rate 1 8 2 9 3 7 4 8 5 10 Calculate, respectively, one period forward rates of these bonds for year 2, year 3 and year 4.
- Bonds have a maturity risk premium that can be modeled as the following:MRP = (t-1) 0.3%were t represents the years to maturity. What is the Maturity risk premium of a bond that matures in 8 years? answer in % without the symbolConsider three N-year bonds. The bonds all have the same par value and are all redeemable at par. Each of the bonds pays semiannual coupons and is priced using the same yield rate. -- Bond A pays coupons of 46 and has a price of 1200. -- Bond B pays coupons of 35 and has a price of 1000. -- Bond C pays coupons of 59. Determine the price of Bond C. 1531 1436 1389 O 1484 O 1342If the YTM on the following bonds are identical except, what is the price of bond B? Bond A Bond B Face value $1,000 $1,000 Semiannual coupon $45 $35 Years to maturity 20 20 Price $1,098.96 ?
- 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?…Suppose that all bonds have $1,000 of face value. The current prices of zero coupon bonds are as follows: $960 for a one-year bond; $910 for a two-year bond; $850 for a three-year bond. a. What is the price of a three-year bond with 8% annual coupon payment? b. What is the YTM of the two-year zero coupon bond? c. Consider the following two-year bonds: (i) a zero coupon bond as above; (ii) a bond with 6% annual coupon payment. Whose YTM is higher?7. Given the two bonds below, answer the following questions. Bond Bond A Coupon Rate B 5% Par/Face/Princ $1000 Years to Maturity 2 5% $1000 a. If the Yield to maturity of the two bonds is 5%, what is the price of both bonds. b. Find the Modified Duration of both bonds. c. Find the Modified Convexity of both bonds. d. Estimate the price of bond B using the Tayor Series Expansion if interest rates rise to 6% for the Yield to Maturity. 3