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Suppose GE plans to issue a note that matures in 2 years and has a 3.67% coupon rate. If the market yield is 4.91%, what is the market price?
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- You are given the following information about the yield curve: the 1-, and 2-year yields are yl = 4.5% and y2 = 5.5%, respectively. A 2-year annual 5% coupon bond with a face value of $1,000 is currently selling for $1,000. Assume the first coupon will not be paid until one year from now. Is there an arbitrage opportunity and, if so, how would you exploit it (assume we cannot trade in fractions of a penny)? A. There is no arbitrage opportunity B. Yes: Buy the bond and fund this by shorting a $50 face value 1-year discount bond and a $1,050 face value 2-year discount bond C Yes: Buy the bond and fund this by shorting a $47.85 face value 1-year discount bond and a $943.38 face value 2-year discount bond D. Yes: Short the bond and buy a $50 face value 1-year discount bond and a $1,050 face value 2-year discount bond E. Yes: Short the bond and buy a $47.85 face value 1-vear discount bond and a $943.38 face value 2-year discount bondConsider a long forward contract to purchase a coupon-bearing bond whose current price is $910. We will suppose that the forward contract matures in 9 months. We will also suppose that a coupon payment of $45 is expected after 4 months. We assume that the 4-month and 9-month risk-free interest rates (continuously compounded) are, respectively, 3% and 4% per annum. Explain how an arbitrageur can make profits from this scenario.Suppose the 1-year spot rate is 0.8%, and that a 2-year 1.5% annual coupon, a 3-year 2% annual coupon bonds are trading at par ($100). Calibrate a 2-year binomial interest rate model, assuming that interest rate volatility ?σ is 10%. What is the lowest rate at t=2?
- Suppose that =7% (na1), and that future short term (1 year) interest rates are expected to be 5% and 3% (for the subsequent two years). The liquidity premium for n2 and 3 is 0.25% and 0.35% respectively. a. Use the liquidity premium theory to calculate for ne2 and 3, and then plot the yield curve using your results. CALCULATE showing all work and ALL formulas that you use, b. Discuss what would be the impact on the yield curve in part a. if future short term rates were suddenly expected to rise.What is the price of a perpetuity that has a coupon of$70 per year and a yield to maturity of 1.5%? If theyield to maturity doubles, what will happen to the perpetuity’s price?Interest rates on 4-year Treasury securities are currently 6.7%,while 6-year Treasury securities yield 7.25%. If the pure expectations theory is correct, whatdoes the market believe that 2-year securities will be yielding 4 years from now? Calculatethe yield using a geometric average.
- D4) About rate of return For a consol that pays $100 annually, if the yield to maturity at the beginning of the year is 10%, and the yield to maturity at the end of the year is 5%, please calculate the return of the consol of this year. If a coupon bond that is going to mature in two years is selling at par. Suppose its coupon rate is 10%, the yield to maturity at the begging of the year is 10%, and the yield to maturity at the end of the year is 5%. Please calculate the return of the coupon bond of this year.A two-year Treasury bill offers a 5.1% yield to maturity. The market's concensus forecast is that one-year T-bills will offer 5.8% next year. What is the current yield on a 1-year T-bill if the expectations hypothesis holds? Enter your answer as a percentage. Do not include the percentage sign in your answer. Enter your answer to 2 DECIMAL PLACES.Suppose that you buy a TIPS (inflation-indexed) bond with a 1-year maturity and a coupon of 2% paid annually. Assume you buy the bond at its face value of $1,000, and the inflation rate is 10%. a. What will be your cash flow at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be your real return? c. What will be your nominal return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
- What is the current yield of a 6-year Treasury note with a coupon rate of 5%, a face value of $100, and is currently trading at 100:21?The yield on a one-year Treasury security is 4.4600%, and the two-year Treasury security has a 6.6900% yield. Assuming that the pure expectations theory is correct, what is the market's estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 8.9676% 10.2231% 11.3889% 7.6225% Recall that on a one-year Treasury security the yield is 4.4600% and 6.6900% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.3%. What is the market's estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 7.1023% 8.3556% 10.6116% 9.5254%The real risk-free rate is 2.85%. Inflation is expected to be 3.85% this year, 5.15% next year, and 2.4% thereafter. The maturity risk premium is estimated to be 0.05 × (t - 1)%, where t = number of years to maturity. What is the yield on a 7-year Treasury note?