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- 10. The bond has a 30-year maturity, an 8% coupon, and sells at an initial yield to maturity of 8%. Because the coupon rate equals yield to maturity, the bond sells at par value, or $1,000. The modified duration of the bond at its initial yield is 11.26 years, and its convexity is 212.4. If the bond's yield increases from 8% to 10%, the bond price will fall to $811.46, a decline of 18.85%. a. How does the price change according to the duration rule? b. How does the price change according to the duration-with-convexity rule?2. In year 1, the yield on 1-year T-bills is 1%, and on 10-year T-bond is 5%. In year 2, 1-year yield becomes 1.5%, and 10-year yield becomes 8.5%. 1. In year 2, does the market expect future short-term interest rate to rise or fall, compared with year 1? Why? Explain carefully. 2. Has the probability of a recession risen or decreased?Which of the following are yield curves NOT used for? a.Explaining the relationship between inflation and interest rates. b.Forecasting future changes in economic activity. c.Forecasting future interest rates. d.Forecasting future rates of inflation. e.Explaining how investors prefer less liquidity to more liquidity.
- Which of the following is NOT a primary factor that influences the shape of the yield curve? a. International interest rates b. Level of business activity c. Federal budget surplus d. Immigration e. Federal Reserve policiesRate of Return 1. If a bond has a current yield of 6% and a rate of return of 2%, it has a capital gain or loss. 2. If a bond has a 2% rate of return and a capital loss of 4%, its current yield is ? Real and Nominal Interest Rates 3. If the nominal interest rate is 4% and expected inflation is -4%, the real interest rate is ? 4. If the nominal interest rate is 6%, the expected rate of inflation is 4% and the actual rate of inflation is 6%, the ex post real interest rate is ?A. Assume the interest rate in the bank is 6%. Should Apple Incorporated spend $10,000,000 to build a Research and Development facility that will yield $20 million in ten years? B. You will need $100,000 in seven years to buy a new car. How much money do you need to deposit in the bank now in order to have $100,000 seven years from now if the interest rate is 7%?
- 1. Nominal Interest Rates/Yield Curves Forecasters predict that the annual rate of inflation will continue to be 1.2% for the foreseeable future. The nominal interest rate of Treasury securities with different maturities is shown below: Maturity Nominal Rate of Return 2.2% 2.6% 3,2% 3.8% 4.5% 1 year 2 years 5 years 10 years 20 years a. Plot the yield curve using Excel b. What shape is the yield curve? What does it say about the future direction of interest rates under the expectations theory? c. Approximately what real interest rate do Treasury securities offer investors at each maturity? d. If the nominal rate of interest paid by every Treasury security above suddenly increased by 1.5%, without any change in inflationary expectations, what effect, if any, would it have on your answers to part c? Explain.11. If a yield curve looks like the one shown in the figure below, what is the market predicting about the movement of future short-term interest rates? What might the yield curve indicate about the market's predictions for the inflation rate in the future? Yield to Maturity Term to MaturityWith a flat yield curve do you prefer to lend in the short term or long term A Short term since there is no incentive to lend in the long term B Long term since there is no incentive to lend in the short term C Neither since the yield curve is flat D Neither till new information comes out
- A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as A. a term-structure curve. B. an interest-rate curve. C. a yield curve. D. a risk-structure curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 4%, 4%, 5%, and 8%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is %. (Round your response to the nearest whole number). Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1.) Use the line drawing tool (once) to plot the yield curve generated. 2.) Use the point drawing tool to locate the interest rates on the next four years. Carefully follow the instructions above, and only draw the required objects. Interest Rate 1 2- 6- 2 3 Term to Maturity in Years 5 ♫Draw the Yield curve for U.S. government bonds as it was on February 5th, 2020. Explain what is a yield curve. Describe precisely the yield curve you draw.a. Identify and explain the three theories of the term structure of interest rates, including anyrelevant assumptions. b. Using two of the three theories explain why the yield curve may be inverted NEED ANSWER FOR B