Suppose the quarterly arithmetic average return for a security is 5% per quarter and the security gives a return of 10% each over the next two quarters. The arithmetic average return over the six quarters isA.9%. B.7.5%. C.6.67%. D. 10%.
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- Find the standard deviation for a security that has three one-year returns of -1%,8% , and 16%, respectively .You have at hand the historical monthly excess returns of Strategy X over 12 months. In addition, you have the monthly excess returns to the market. The risk free rate is 2%. Excess returns (monthly) Strategy X Market 0.012 0.011 0.007 0.009 0.014 0.007 0.013 0.004 0.005 0.013 0.008 0.006 0.011 0.010 0.006 0.011 0.010 0.010 0.014 0.009 0.008 0.004 0.009 0.007 Required: Calculate the annualised CAPM alpha for Strategy X.The real risk-free rate is 2.5% and inflation is expected to be 2.25% for the next 2 years. A 2-year Treasury security yields 6.75%. What is the maturity risk premium for the 2-year security? Round your answer to one decimal place. ______%
- Suppose the real risk-free rate of interest is r*=4%�*=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1×(t−1)%0.1×�−1%, where t� is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%. The average inflation during the first 4 years is2.37% . What is the yield on a 4-year Treasury bond? 4.30% 8.90% 6.75% 7.05% What is the yield on a 4-year BBB-rated bond? 8.90% 7.50% 7.05% 8.45% If the yield on a 5–year Treasury bond is 7.38% and the yield on a 6–year Treasury bond is 7.83%, the expected inflation in 6 years is . (Hint: Do not round intermediate calculations.)A 2-year Treasury security currently earns 1.79 percent. Over the next two years, the real risk-free rate is expected to be 1.35 percent per year and the inflation premium is expected to be 0.35 percent per year. Calculate the maturity risk premium on the 2-year Treasury security. (Round your answer to 2 decimal places.) Maturity risk premium ____.__%2. Security with normally distributed returns has an annual expected return of 10% and a standard deviation of 6%. The probability of getting a return between -1.76% and 21.76% in any one year is
- Assume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%Suppose that the current one-year rate (one- year spot rate) and expected one-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows: 1R1=6%, E(2r1) =7%, E(3r1) =7.5% E(4r1)=7.85% 1 Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities. Show your answers in percentage form to 3 decimal places.Suppose that the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows:1R1 = 6%, E(2r1) = 7%, E(3r1) = 7.5%, E(4r1) = 7.85%Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities. Plot the resulting yield curve.
- The real risk-free rate is 3%, and inflation is expected to be 3% for the next2 years. A 2-year Treasury security yields 6.3%. What is the maturity riskpremium for the 2-year security?The risk free rate of interest is 2.0%. Inflation is expected to be 8.0% this year, 6.5% next year and 2.5% in each of the following years. Assume the liquidity premium is fixed at 0.5%; maturity riskpremium is calculated to be .1% x (t-1); and default risk premium is fixed at 1.5% for years 1-5 and 2% for years 6-20. Calculate the rate for the following:a) A 9 year bond?b) A 2 year bond? Please do it in excel show the fomulas pleaseSuppose that the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows: 1R1 = 0.3%, E(2r 1) = 1.3%, E(3r1) = 10.4%, E(41) 10.75% Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities. (Round your percentage answers to 3 decimal places. (e.g., 32.161)) One-year Two-year Three-year Four-year Current (Long-Term) Rates 0.300 % 0.799 % 5.006% %