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- Assume the pure expectation theory holds: If the return on 6 years maturity treasury bill (TB) is 8%, the return on 1-year maturity TB is 6%, the return on a 2 years maturity (TB) is 7%, X is the return on a 3-year maturity bond. a. Calculate X, the forward rate, the return on a 3-year maturity bond, 3 years from today. b. Graph the yield curve c. Based on the yield curve you just derived, what are your expectations of the future performance of the economy?Consider the zero coupon Treasury bond yield curve. Suppose a 1 year bond has a yield of 2.13%. The yield curve slopes downwards between maturities of 1 year and 3 years, and then slopes upwards. Which of the following must be true? Group of answer choices A) The yield of a zero coupon bond with maturity 5 years is higher than 2.13%. B) A 1 year positive coupon bond must have a lower price than the zero coupon bond with the same maturity. C) Bond purchasers believe the Fed will decrease rates in the short run, and then increase them in the long run. D) The economy will be in a recession within 2 years. E) C and D.Suppose the CAPM is true. Consider two assets, X and Y, and the market M. Suppose cov(X,M) = .3, cov(Y,M) = .5. %3D (a) Is the expected return higher on X or Y? (b) Suppose var(M) = 1.5, what are the betas of X and Y? (c) Suppose the expected market return is 20% and the risk free rate is 5%, what is the expected returns of X and Y?. (d) Given your analysis in (a)-(c), what type of investor would prefer asset X to asset Y?
- What is the shape of the yield curve given the term structure below? What expectations are investors likely to have about future interest rates? 5 yr 7 yr 10 yr 20 yr 1 yr 2 yr 3 yr Term 4.13 4.93 3.32 3.74 2.38 2.73 1.98 Rate (EAR %) ... What is the shape of the yield curve given the term structure below? (Select the best choice below.) A. The yield curve is an inverted yield curve (decreasing). B. It is hard to tell because we are not given an EAR for every year. C. The yield curve is a flat yield curve. D. The yield curve is a normal yield curve (increasing).Consider a two-period coupon bond with face value M = 100, recovery rate a = 0.5, per period coupon rate c = 10%, and survival rate λ = 0.9. If the risk-free rate per period is 5%, what is the bond price now? P = 9+5.5 1+5% + = 99.116 ■ 89.1+4.95 (1+5%)²Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is Which graph best depicts the yield curve of the zero-coupon bonds? (Select the best choice below.) O A. 8- 7- 6-…
- The expected market return is 5%. The risk-free rate is 3%. According to the CAPM equation, what is the expected return on an asset which has alpha=1.5%, and beta=1.9 ? O a. 11.0% O b. 5.3% O c. 5% O d. 6.8% O e. 8.3%Suppose 2-year Treasury bonds yield 4.1%,while 1-year bonds yield 3.2%. r* is 1%, and the maturity risk premium is zero.a. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now?Calculate the yield using a geometric average.b. What is the expected inflation rate in Year 1? Year 2?Suppose 2-year Treasury bonds yield 4.2%, while 1-year bonds yield 3.4%. r* is 1%, and the maturity risk premium is zero. Negative expected inflation rates, if any, should be indicated by a minus sign. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places. % What is the expected inflation rate in Year 1? Do not round intermediate calculations. Round your answer to two decimal places. %What is the expected inflation rate in Year 2? Do not round intermediate calculations. Round your answer to two decimal places. %
- 1. Consider a bond market where the demand for a particular bond is given by the equatione Bd = 2360 – 0.8P< where Bd is the number of bonds demanded and P is the price of the bond. Suppose the supply of this bond is fixed at 1400. (a) Calculate the price of the bonde (b) Suppose the bond is a consol with an annual coupon of 45. What is the yield on this security?5. Suppose 1-year T-bills currently yield 7.00% and the future inflation rate is expected to be constant at 6.00% per year. What is the real risk-free rate of return, r*? Disregard any cross-product terms, i.e., if averaging is required, use the arithmetic average.Suppose you believe that the unbiased expectation theory (UET) holds. Then, using the hypothetical yield curve depicted below finds all the implicit forward rates. Spot Rates (or Zero-rates) Maturity 6 month 1 year 1.5 year 2 year 2.5 year 3 year Spot Rate 6.2% 7.1% 7.5% 7.8% 8.6% 8.67%