Refer to the following table. Maturity (years) Zero-coupon YTM=r Suppose you wanted to lock in The rate for an investment tha (Round the final answer two d
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- K Refer to the following table. Maturity (years) Zero-coupon YTMn = rn Suppose you wanted to lock in an interest rate for an investment that begins in one year and matures in five years. What rate would you obtain if there were no arbitrage opportunities? 1 4.19% 2 5.28% ... The rate for an investment that begins in one year and matures in five years would be 4.91%. (Round the final answer two decimal places. Round all intermediate values to four decimal places as needed.) 3 5.28% 4 5.18% 5 4.61%↑ ing table. Maturity (years) Zero-coupon YTM= 1 4.00% 2 5.50% 3 5.50% 4 5.00% The rate for an investment that begins in one year and matures in five years would be. (Round the final answer two decimal places. Round all intermediate values to four decimal places as needed.) 5 4.50% Suppose you wanted to lock in an interest rate for an investment that begins in one year and matures in five years. What rate would you obtain if there were no arbitrage opportunities?Suppose we observe the following rates: 1R1 = 10%, 1R2 = 12%. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year interest rate expected one year from now, E(2r1)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
- Consider the following spot interest rates for maturities of one, two, three, and four years. r₁ = 4.3% 2 = 4.9% √3 = 5.6% r4 = 6.4% What are the following forward rates, where fkn refers to a forward rate beginning in k year(s) and extending for n year(s)? f2,1 = ? f3,1 = ? f2,2 = ?Suppose that a 10-year T-note is purchased with a face value of $20,000 and a coupon rate of 3.4% (a) What is the total return of this investment? (b) What is the average rate of retum? (a) The total return is $ (Simplity your answer.) (b) The average rate of return is%. (Simplify your answer. Round to two decimal places as needed.)Suppose the term structure of risk-free interest rates is as shown here: a. Calculate the present value of an investment that pays $1,000 in 2 years and $4,000 in 5 years for certain. b. Calculate the present value of receiving $900 per year, with certainty, at the end of the next 5 years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $2,700 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) 2 years 3 years 5 years 7 years 1 year 2.06 2.44 2.64 3.22 3.74 Term Rate (EAR, %) Print Done 10 years 4.25 20 years 5.09 I X t cent.)
- Consider the following spot interest rates for maturities of one, two, three, and four years. r1 = 3.7% r3 = 4.9% What are the following forward rates, where fi₁, k refers to a forward rate for the period beginning in one year and extending for k years? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) 11,1 f1,2 f1,3 r2 = 4.2% 4.70 % % % r4 = 5.7%An investor has a principal amount of $P. If he desires a payout (return) of 0.1P each year, how many years will it take to deplete an account that earns 8% per year? 0.1P = P(A/P, 8%,N), so N ∼=21 years. A payout duration table can be constructed for select payout percentages and compound interest rates. Complete the following table. (Note: table entries are years.) Summarize your conclusions about the pattern observed in the shown table.Suppose the term structure of risk-free interest rates is as shown below: 5 yr 7 yr 10 yr 20 yr Term 1 уг 2 yr 3 yr 3.24 3.79 4.09 5.05 2.07 2.46 2.71 Rate (EAR %) a. Calculate the present value of an investment that pays $1,000 in two years and $3,000 in five years for certain. b. Calculate the present value of receiving $100 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $1,800 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.)
- Suppose the term structure of risk-free interest rates is as shown below: Term Rate (EAR %) 1 year 1.98 2 years 2.35 3 years 2.63 5 years 3.23 ← 7 years 3.84 10 years 4.13 20 years 4.99 a. Calculate the present value of an investment that pays $5,000 in two years and $2,000 in five years for certain. b. Calculate the present value of receiving $400 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year four would be the average rate in year three and year five) c. Calculate the present value of receiving $2,300 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) a. Calculate the present value of an investment that pays $5,000 in two years and $2,000 in five years for certain. The present value of the investment is $. (Round to the nearest…The pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Based on the pure expectations theory, is the following statement true or false? Q1. A certificate of deposit (CD) for two years will have the same yield as a CD for one year followed by an investment in another one-year CD after one year. a. True b. False Q2. The yield on a one-year Treasury security is 4.9200%, and the two-year Treasury security has a 5.9040% 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.) a. 5.8627% b. 6.8973% c. 7.8629% d. 8.7596% Q3. Recall that on a one-year Treasury security the yield is 4.9200% and 5.9040% 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 0.2%. What is…Suppose the term structure of risk-free interest rates is as shown below. 1 yr Term 2 yr 3 yr 5 yr 7 yr 10 yr 20 yr Rate (EAR %) 2.08 2.42 2.61 3.24 3.87 4.04 5.07 a. Calculate the present value of an investment that pays $5,000 in two years and $3,000 in five years for certain. b. Calculate the present value of receiving $300 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $2,300 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) a. Calculate the present value of an investment that pays $5,000 in two years and $3,000 in five years for certain, The present value of the investment is $ (Round to the nearest dollar.)