Maturity (years) 1 1-year Forward rate (%) 0-years from now 1.25 1-year from now 1.75 2-years from now 1.908 2 $103 3 Using the binomial model (which assumes that one-year rates undergo a lognormal random walk with volatility o), if o is assumed to be 10%, what is the lower one-year forward rate one year from now given that the higher one-year forward rate one year from now is 1.80%? A 1.474% B. 1.247% OC. 1.10% D. 1.747% Spot rate (%) 1.25 1.5019 1.70491 Cash flow $3 $3
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- If you note the following yield curve in The Wall Street Journal, what is the one-year forward rate for the period beginning one year from today, 2f1 according to the unbiased expectations theory? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Maturity Yield One day 1.16 % One year 1.68 Two years 1.92 Three years 2.03 one Year Foward rate = %If you note the following yield curve in The Wall Street Journal, what is the one-year forward rate for the period beginning one year from today, 2f1 according to the unbiased expectations theory? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Maturity Yield One day 1.16 % One year 1.68 Two years 1.92 Three years 2.03(a) Calculate the perpetual equivalent annual worth in future dollars for years 1 through ∞ for income of $50,000 now and $5000 per year thereafter. Assume the market interest rate is 8% per year and inflation averages 4% per year. All amounts are quoted as future dollars. (b) If the amounts had been quoted in CV dollars, what is the annual worth in future dollars?
- Give your answer to this question correct to the nearest rand. Phindile invests R12 795,00 now and RX in eight months’ time. The investment earns interest at an interest rate of 11% per annum, compounded monthly. Phindile’s goal is to have R21 592,00 after one and a half year. What is the value of X? Explain the formulae usedConsider 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 spot rate is 8%p.a. effective. The term structure of 1-year effective forwardratesisasfollows: attimet=1therateis7%,attimet=2therate is 6%, at time t = 3 the rate is 5%. (a) Determine the term structure of spot rates. (b) A fixed income security pays £10 annual coupons and it is redeemed after 4 years for £100. Compute its price at time t = 0.
- You note the following yield curve in The Wall Street Journal. According to the unbiased expectations theory, what is the 1-year forward rate for the period beginning one year from today, 2f1? (Round your answer to 2 decimal places.) Maturity Yield One day 2.00 % One year 5.50 Two years 6.50 Three years 9.00An investment offers a total return of 11 percent over the coming year. Janice Yellen thins the total real return on this investment wil be only 7 percent. What does Janice believe the inflation rate will be ove the next year? (Do not ronudn intermediate calcculation and enter your answer as a percent rounded to 2 decimal place, e.g., 3216)Two mutually exclusive alternatives are being considered. The MARR is 15% per year. General inflation is 5.5%/year. Based on the data below, performan appropriate analysis to select the most economical alternative. State your assumptions.
- 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?You note the following yield curve in The Wall Street Journal According to the unbiased expectations theory, what is the one-year forward rate for the period beginning two years from today, 11? (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g.. 32.16)) Maturity Yield One day 200% One year 5.50 Two years 6.50 Three years 9.00An annual percentage rate (APR) is determined by annualizing the rate using compound interest. Select one: True False The more frequent the compounding, the higher the future value, other things equal. Select one: True False Which statement is NOT true?  a. Figure A correctly displays the relation between FVs of $1 investment at the interest rates 12.7% and 9.8%. b. Investment of $1 needs more than 7 years to double its value at the rate 9.8%, while only requiring less than 6 yeas to double at 12.7%. c. Figure B correctly displays the relation between PVs of $3 future value at the interest rates 12.7% and 9.8%. d. A discount factor for 5 years at 12.7% is lower than the discount factor for 5 years at 9.8%. After reading the fine print in your credit card agreement, you find that the "low" interest rate is actually an 17.05% APR, or 1.4208% per month. What is the effective annual rate? a. 18.45% b. 19.41% c. 18.82% d. 19.56% A zero-coupon bond is a bond that pay no interest…