Annual Returns by Decade and Asset Class Small Cap Large Cap LT Bonds T-Bills Inflation 1930s 0.33 -0.72 1.33 4.55% -0.99% 1940s 0.39 0.67 1.21 0.04% 4.25% 1950s -0.34 -1.51 1.61 1.20% 2.67% 1960s 0.72 0.16 0.59 2.87% 1.36% 1970s -2.07 -1.02 -1.12 6.39% 3.35% 1980s -2.42 -1.38 -1.45 11.39% 10.13% 1990s 0.55 0.66 -5.38 7.50% 4.78% 2000s 0.97 1.78 -0.75 5.82% 2.72% 2010s 0.13 0.35 1.64 0.14% 1.78% Annual Returns, Correlation by Decade and Asset Class Small Cap Large Cap LT Bonds T-Bills Inflation Serial Correlation 0.15 0.04 0.38 0.47 0.09 Correlation Matrix Small Cap Large Cap LT Bonds T-Bills Inflation Small Cap 1.00 0.74 0.10 (0.56) (0.62) Large Cap 0.74 1.00 (0.19) (0.21) (0.21) LT Bonds 0.10 (0.19) 1.00 (0.70) (0.48) T-Bills (0.56) (0.21) (0.70) 1.00 0.63 Inflation (0.62) (0.21) (0.48) 0.63 1.00
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The following table shows the prices of a sample of Treasury bonds, all of which have coupon rates of zero. Each bond makes a single payment at maturity. Years to Maturity Price (% of face value) 1 97.552% 2 94.051 3 90.244 4 86.180 a. What is the 1-year interest rate? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. b. What is the 2-year interest rate? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. c. What is the 3-year interest rate? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. d. What is the 4-year interest rate? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. e. Is the yield curve upward-sloping, downward-sloping, or flat? f. Is this the usual shape of the yield curve?
Akash M.
Suppose the yield to maturity on a one-year zero-coupon bond is 8%. The yield to maturity on a two-year zero-coupon bond is 10%. Answer the following questions (use annual compounding): (a) Is the term structure of interest rate upward sloping or downward sloping? (b) According to the Expectations Hypothesis, what is the expected one-year rate in the marketplace a year from now, E [r1;1]? (c) Consider a one-year risk-neutral investor who expects the yield to maturity on a one-year bond to equal r1;1 = 6% next year. Should this investor buy a one-year or a two-year zero coupon bond at t = 0? (d) If all investors behave like the investor in (c), what will happen to the equilibrium term structure according to the Expectations Hypothesis? Suppose for example that r0;1 stays the same. What will be the equilibrium value of r0;2? Will the term structure be upward sloping or downward sloping?
This activity has two parts, please answer both. 1. Two bonds A and B have the same credit rating, the same par value, and the same coupon rate. Bond A has 30 years to maturity, and bond B has five (5) years to maturity. Please demonstrate your understanding of interest rate risk by answering the following questions: - Discuss which bond will trade at a higher price in the market. - Discuss what happens to the market price of each bond if the interest rates in the economy go up. - Which bond would have a higher percentage price change if interest rates go up? - Please substantiate your argument with numerical examples. - As a bond investor, if you expect a slowdown in the economy over the next 12 months, what would be your investment strategy? 2. Familiarity with random variables is essential to understand the basics of portfolio theory. Given that CLA2 assignment is about portfolio formation, you need to strengthen your skills in dealing with random variables. Please review and explain the significance of basic concepts about random variables, namely, the mean, the variance, the standard deviation, and the correlation. Provide your explanations and definitions in detail and be precise. Comment on your findings. Provide references for content when necessary. Provide your work in detail and explain in your own words. Support your statements with peer-reviewed in-text citation(s) and reference(s).
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