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 :

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 :

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 8MC: Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future...

See similar textbooks

Similar questions

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?
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%
If the one-year and two-year interest rates are 6.5% and 7% respectively, what should be the forward rate for year 2 (according to the expectations theory)? 7% 7.5% 7.75% 7.25% 6.75%. 6.5%
Suppose the current forward curve for one-year rates is the following: Time Period Forward Rate f(0,1) 2.5% f(1,1) 3.6% f(2,1) 4.5% f(3,1) 5.1% Calculate the spot rates for 2-year, 3-years and 4-year spot rates Calculate the forward rates f(1, 2), f(1, 3), and f(2, 2) 3) Use the information to value a 4-year bond that pays 4.5% annual coupons.
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)?
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.
Assume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24
Suppose the two-year interest rate is r2 with quarterly-compounding and 30/360 daycount. Suppose the price today of a ZCB maturing in 4 years is Z(0,4). Give a formula for the two-year forward two-year libor rate L0[2,4] in terms of r2 and Z(0,4).
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.)
1. Suppose the term structure of interest rates is shown below: 1 year Term Rate (EAR%) 5.00% 2 years 4.80% 3 years 4.60% 5 years 4.50% 10 years 4.25% 20 years 4.15% What is the present value (PV) of receiving $1100 per year with certainty at the end of the next three years?
The n-year spot rate of interest per annum, in, is given by: b in = a(1.1)" +- n for n = 1, 2 and 3 and where a and b are constants. With time measured in years from the present, the implied one-year forward rates applicable at time 0 and at time 1 are 7.3% and 6.8%, respectively. Showing all of your workout, calculate to 5 decimal places the following: (i) the values of a and b; (ii) the implied two-year forward rate applicable at time 1; (iii) the price per £1 nominal at time t = 0 of a bond which pays annual coupons of 7% in arrears and is redeemed at 95% after 3 years.