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- If inflation is anticipated to be 6 percent during the next year, while the real rate of interest for one-year loan is 5 percent, then what should the nominal rate of interest be for a risk-free one-year loan? a. 11% b. 6%c. 5%d. 12%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 = ?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?
- The two-year interest rate is 10.4%, and the expected annual inflation rate is 5.2%. a. What is the expected real interest rate? b-1. If the expected rate of inflation suddenly rises to 7.2%, what does Fisher's theory say about how the real interest rate will change? b-2. If the expected rate of inflation suddenly rises to 7.2%, what will be the new nominal rate? Complete this question by entering your answers in the tabs below. Req A Req B1 Req B2 What is the expected real interest rate? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Expected real interest rate %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 :Estimate the annual percent rate for the add on loan Using the given number of payments and annual interest-rate. Use the formula APR = 2nr/n+1 N= 48; R= 8% APR=???
- 1. Suppose the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three year (i.e. years 2, 3, and 4, respectively) are as follows: 。R₁ = 6%, E (R₂) =7% E(₂R)= 7.5% E(R)=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.Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1? (Round your answer to 2 decimal places.)Suppose the interest rate on a 3-year treasury note is 2.75%, and 6-year notes are yielding 3.50%. Based on the expectations theory, what does the market believe that 3-year treasuries will be yielding 3 years from now?
- Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1?Suppose the actual inflation rate is 2% over the next year. Once the loan has been repaid, what is the nominal rate of interest and real rate of interest?a) Suppose that the current one-year spot rate and expected one-year T-bill rates over the following three years (i.e., years 2, and 3 respectively) are as follows: 1R1 = 3.1%, E(201) = 4.20%, E(3r₁) = 6.6%. Using the unbiased expectation theory, calculate the current long-term rates for one- two and three-year-maturity Treasury securities and plot the current yield curve. Please show each step of your calculation. b) What are the sources of funding for commercial banks? Please also classify the sources of funding and briefly describe each category. c) The unbiased expectation theory and liquidity premium theory are two important theories to explain the shape of yield curve. Discuss and compare the two theories.