Holding other factors constant, which one of the following bonds has the smallest price volatil- ity? (a) 5-year, 0% coupon bond (b) 5- year, 12% coupon bond (c) 5 year, 14% coupon bond (d) 5-year, 10% coupon bond (e) Cannot tell from the information given.
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- 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?…The 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 105Explain what you see from the pricing calculations. How do the two bonds differ? Bond C Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 10%*$1,000 = $100 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 Bond Z Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 0%*$1,000 = $0.00 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 years Bond A Bond Z 4 $1,012.79 $693.04 3 $1,010.02 $759.57 2 $1,006.98 $832.49 1 $1,003.65 $912.41 0 $1,000.00 $1,000.00
- Which of the following statements is correct? Group of answer choices The actual capital gains yield for a one-year holding period on a bond can never be greater than the current yield on the bond. All of these statements are false. The price of a coupon bond is determined primarily by the number of years to maturity. The discount or premium on a bond can be expressed as the difference between the coupon payment on an old bond which originally sold at par and the coupon payment on a new bond, selling at par, where the difference in payments is discounted at the new market rate. On a coupon paying bond, the final interest payment is made one period before maturity and then, at maturity, the bond's face value is paid as the final payment.不 Which of the bonds A to D is most sensitive to a 1%drop in interest rates from Consider the following bonds: 6.5% to 5.5% Which bond is least sensitive? Bond Data table is most sensitive. (Select from the drop-down menu.) (Click on the following icon in order to copy its contents into a spreadsheet.) Bond A BC D Coupon Rate (annual payments) 0.0% 0.0% 4.3% 7.7% Print Done Maturity (years) 10 15 15 10(PLEASE READ THIS DIRECTION)Rules for Bond Valuation Problem Solving:a. For the "PV FACTOR in computing the PV of the coupon and PV for the maturity value/ principal use until 8-9th decimal place" before multiplying the coupon payment or future value.Example: ___x 2.123456789 or 22.12345678b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).Example semi-annual: 13%/2 =0.065c. For the "VALUE OF THE BOND/ PRICE OF THE BOND" round off your answers and final answers into whole numbers.Example: 824.59= 825 1. A bond issued by Delta Corporation matures in 12 years. It has a 12.5 percent annual coupon rate and a face value of P10,000. The bond has a discount rate to maturity of 9.5 percent. What is the price of Omega's bond today?
- Consider the following bonds: (Click on the following icon in order to copy its contents into a spreadsheet.) Bond A B C D Coupon Rate (annual payments) 0% 0% 6% 12% Maturity (years) 17 11 17 11 a. What is the percentage change in the price of each bond if its yield to maturity falls from 6% to 5%? b. Which of the bonds A through D is the most sensitive to a 1% drop in interest rates from 6% to 5% and why? Which bond is the least sensitive? Provide an intuitive explanation for your answer. Note: Assume annual compounding. a. What is the percentage change in the price of each bond if its yield to maturity falls from 6% to 5%? The percentage change in bond A is %. (Round to two decimal places.) The percentage change in bond B is %. (Round to two decimal places.) The percentage change in bond C is %. (Round to two decimal places.) The percentage change in bond D is%. (Round to two decimal places.) b. Which of the bonds A through D is the most sensitive to a 1% drop in interest rates, from…(PLEASE READ THIS DIRECTION)Rules for Bond Valuation Problem Solving:a. For the "PV FACTOR in computing the PV of the coupon and PV for the maturity value/ principal use until 8-9th decimal place" before multiplying the coupon payment or future value.Example: ___x 2.123456789 or 22.12345678b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).Example semi-annual: 13%/2 =0.065c. For the "VALUE OF THE BOND/ PRICE OF THE BOND" round off your answers and final answers into whole numbers.Example: 824.59= 825 2. Your sister has been offered a 5-year bond with a P1,000 par value and a 7 percent coupon rate. This bond's interest is paid semi-annually. If your sister is to earn a nominal rate of return of 9 percent, compounded semi-annually, how much should she pay for the bond?(PLEASE READ THIS DIRECTION)Rules for Bond Valuation Problem Solving:a. For the "PV FACTOR in computing the PV of the coupon and PV for the maturity value/ principal use until 8-9th decimal place" before multiplying the coupon payment or future value.Example: ___x 2.123456789 or 22.12345678b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).Example semi-annual: 13%/2 =0.065c. For the "VALUE OF THE BOND/ PRICE OF THE BOND" round off your answers and final answers into whole numbers.Example: 824.59= 825 3. Assume that Greenwich and Pizza Hut have similar P100,000 par value bond issues outstanding. The bonds are equally risky. Pizza Hut bond has an annual coupon rate of 8 percent and matures 20 years from today, the nominal annual rate of return is 12%. Greenwich's bond has a coupon rate of 8 percent, with interest paid semiannually, matures in 20 years, and nominal required rate of return 12 percent on a semi-annual basis. What is the DIFFERENCE in current…
- (PLEASE READ THIS DIRECTION)Rules for Bond Valuation Problem Solving:a. For the "PV FACTOR in computing the PV of the coupon and PV for the maturity value/ principal use until 8-9th decimal place" before multiplying the coupon payment or future value.Example: ___x 2.123456789 or 22.12345678b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).Example semi-annual: 13%/2 =0.065c. For the "VALUE OF THE BOND/ PRICE OF THE BOND" round off your answers and final answers into whole numbers.Example: 824.59= 8251. Charlie Corporation is a chemical company. The company issued an outstanding bond with a P100,000 par value at 15-year maturity date. The coupon rate is 8%, and interest is paid quarterly. The required nominal interest rate on this borrowings has now increased to 16 percent . What is the current market value of the bond?For a bond that is currently selling for par value (i.e., $1000). which one of the following relationships is correct (note: assume that all factors, other than the one mentioned, remain constant)? O 1) if the coupon rate increases, the bond price will remain the same. 2) if the coupon rate increases, the bond price will decrease. 3) if the yield to maturity decreases, the bond price will decrease. O 4) if the term to maturity increases, the bond price will remain the same. O 5) if the yield to maturity increases, the bond price will remain the same.Consider a coupon bond, period t = 0 price $900, with payments: t=0 1 2 3 50 50 1050 Discount (zero coupon) bonds of 1, 2 and 3 years maturity (all with maturity value of $1000) sell for respectively, 960, 900, 820 dollars. Is this coupon bond properly priced? If not, design an arbitrage argument to profit by the mispricing.