Given the following zero rates, calculate the forward rates for 1, 1.5, and 2 year. Maturity (years) 0.5 1.0 1.S 2.0 Zero rate 4.5 4.75 5.2- 5.75
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Zero rate to forward rate
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- Suppose that the current 1-year rate (1-year spot rate) and expected 1-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows:1R1 = 2.78%, E(2r1) = 4.10%, E(3r1) = 4.60%, E(4r1) = 6.10%Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Year Current (Long-Term) Rates 1 _____.__% 2 _____.__% 3 _____.__% 4 _____.__%Suppose that the current 1-year rate (1-year spot rate) and expected 1-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows:1R1 = 2.62%, E(2r1) = 3.90%, E(3r1) = 4.40%, E(4r1) = 5.90%Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities. (Do not round intermediate calculations. Round your answers to 2 decimal places.)Suppose that the current 1-year rate (1-year spot rate) and expected 1-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows:1R1 = 2.62%, E(2r1) = 3.90%, E(3r1) = 4.40%, E(4r1) = 5.90%Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities
- consider the following spot interest rates for maturities of one, two, three, and four years. r1=4.1%, r2=4.5% r3=5.2% r=6.0% what are teh following forward rates, where fk.1 refers toa forward rate beginning in the k years and extending for the 1 year?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 = 0.3%, E(2r 1) = 1.3%, E(3r1) = 8.9%, E(4r1) = 9.25% Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities.Consider the following spot interest rates for maturities of one, two, three, and four years. r1 = 6.10% r2 = 6.00% r3 = 5.80% r4 = 5.50% What are the following forward rates? Hint: f1, k refers to a forward rate for the period beginning in one year and extending for k years. fk,1 refers to a forward rate beginning in k years and extending for 1 year. f1,1 : f1,2 : f1,3 : f2,1: f3,1 :
- The 1-year and 2-year zero rates are 4% and 6% per annum with quarterly compounding. (a) What is the 1-year zero rate with continuous compounding? Provide the answer on per annum basis. (b) What is the 2-year zero rate with continuous compounding? Provide the answer on per annum basis. (c) What is the implied forward rate (with continuous compounding) for the 1-year period beginning in 1year?Assume that time is measured in months. Calculate the present value at time 0 of a payment of £131 paid at time 18, using an interest rate of 9% per annum effective.The term structure of interest rates is as follows: Maturity Spot Rate / 14% 212%/. What is the forward rate for one year, one year from now (f 1.1)? 2. If the forward rate for two years, one year from now (12. 1) is equal to 9%, then what is. the spot rate with maturity 3 years (13)?
- Assume that time is measured in years. Calculate the total present value at time 0 of a payment of £257 paid at time 4 and a payment of £67 paid at time 12, using an interest rate of 5% per annum effective.Suppose today’s LIBOR rates for 1, 2, 3, 4, 5, and 6 months are 1.6%, 1.8%, 2.0%, 2.0%, 1.9%, and 1.6% with continuous compounding. What are the forward rates for future 1-month periods?For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor.1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest (b) Number of Periods a. 11% 10 Annually enter percentages % enter the number of periods b. 8% 8 Quarterly enter percentages % enter the number of periods c. 10% 19 Semiannually enter percentages % enter the number of periods 2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.) Annual Rate Number of Years Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 12% 30 30 Annually enter percentages % enter the number of periods b. 11% 16 32 Semiannually enter percentages % enter the number…