You observe the following term structure:Effective Annual YTM1-year zero-coupon bond2-year zero-coupon bond3-year zero-coupon bond4-year zero-coupon bond8.1%8.28.38.4a. If you believe that the term structure next year will be the same as today's, calculate the return on (i) the 1-year zero and (1i) the4-year zero. (Do not round intermediate calculations. Round your answers to 1 decimal place.)One year return on 1-year bondOne year return on 4-year bonds%%b. Which bond provides a greater expected 1-year return?O 1-year zero-coupon bondO 4-year zero-coupon bond

Given information: Par value of the bond is assumed as $1,000 Annual YTM of 3 year bond is 8.3%…

You observe the following term structure: Effective Annual YTM 1-year zero-coupon bond 2-year zero-coupon bond 3-year zero-coupon bond 4-year zero-coupon bond 8.1% 8.2 8.3 8.4 a. If you believe that the term structure next year will be the same as today's, calculate the return on (i) the 1-year zero and (i) the 4-year zero. (Do not round intermediate calculations. Round your answers to 1 decimal place.) One year return on 1-year bond One year return on 4-year bonds % % b. Which bond provides a greater expected 1-year return? O 1-year zero-coupon bond O 4-year zero-coupon bond

You observe the following term structure: Effective Annual YTM 1-year zero-coupon bond 2-year zero-coupon bond 3-year zero-coupon bond 4-year zero-coupon bond 8.1% 8.2 8.3 8.4 a. If you believe that the term structure next year will be the same as today's, calculate the return on (i) the 1-year zero and (i) the 4-year zero. (Do not round intermediate calculations. Round your answers to 1 decimal place.) One year return on 1-year bond One year return on 4-year bonds % % b. Which bond provides a greater expected 1-year return? O 1-year zero-coupon bond O 4-year zero-coupon bond

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. (Input your answers as a percent rounded to 2 decimal places.) 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 2 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return Interest Rate 58 78 10% 128
ces You find a bond with 25 years until maturity that has a coupon rate of 8 percent and a yield to maturity of 9 percent. What is the Macaulay duration? The modified duration? Note: Do not round intermediate calculations. Round your answers to 3 decimal places. Macaulay Modified Duration years years
4
Suppose the interest rate on a 1-year government bond is 3.00%, on a 4-year government bond is 3.50% and that on a 6-year government bond is 4.90%. What is the market's forecast for 2-year rates 4 years from now, assuming the pure expectations theory is correct? Show your work.
Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. Note: Input your answers as a percent rounded to 2 decimal places. 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 21 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return % % % Interest Rate 7% 9% 10% 12%
The term structure for zero-coupon bonds is currently: Maturity (Years) YTM (%) 1 5.2% 2 6.2 3 7.2 Next year at this time, you expect it to be: Maturity (Years) YTM (%) 1 6.2% 2 7.2 3 8.2 Required: What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? Under the expectations theory, what yields to maturity does the market expect to observe on 1- and 2-year zeros at the end of the year? Is the market's expectation of the return on the 3-year bond greater or less than yours?
The one-year spot rate z1 = 5% and the forward price for a one-year zero-coupon bond beginning in one year is 0.9346. Find the spot price (zero price) of a two-year zero-coupon bond.
The function s(t) = 0.16 − 0.04 e− t/4 provides the term structure of effective annual rates of zero coupon bonds of maturity t, with t in years. Find the following: (a) The effective annual rate of a 3 year zero coupon bond. (b) The 2-year forward effective annual rate for a one year period. (c) The forward effective annual rate for a one year period, 3 years forward. (d) The 3-year forward effective annual rate for a 3 month period. (e) The forward effective annual rate for a one day period, 3 years forward (the “overnight” rate).(Use 1/365 for a one-day period.)
Calculate the YTM based on the information provided and explainthe difference between the Yield to Maturity rate and the originalcoupon rate. YTM Bond Details: A bond is currently selling for $850 with 15 years until it matures.The bond has a current coupon rate of 6% and makes paymentssemi-annually. You purchase the bond today 1/1/2023 as yoursettlement date and you are interested in knowing what the YTMwill be. **Note, when calculating the YTM the bond price (% of par)and face value (% of par) will not be percentages, please usenumbers for their respective section. The Yield Calculation is alreadybuilt into excel, all you have to do is type is =yield.
A 3 - month zero - coupon bond is selling for $99.7 and a 10-year zero - coupon bond is selling for $52.9. Both bonds have a face value of $100. What's the 10-year - 3 - month spread in their yields? Answer in percent, rounded to one decimal place.
Assume that the Pure Expectations Theory of the term structure is correct. Also assume that the interest rate today on a 9-year security is 6.40%, while the interest rate today on a 15-year security is 8.00%. Finally assume that the interest rate on a 3-year security to be bought at Year 9 and held over Years 10, 11, and 12 is 6.80%. Given this information, determine the average annual return that investors today must expect that they will receive from investing in a 3-year security in 12 Years (that is, buying the security at Year 12 and holding it over Years 13, 14, and 15). O 13.00% O 12.50% 13.50% O 12.00% O 14.00%
Suppose the real risk-free rate of interest is r=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1 x (t-1) %, where t is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%, The average inflation during the first 4 years is What is the yield on a 4-year Treasury bond? O 6.75% O 8.90% O 4.30% O 7.05% What is the yield on a 4-year BBB-rated bond? O 7.50% O 7.05 % O 8.45% 8.90% If the yield on a 5-year Treasury bond is 7.38% and the yield on a 6-year Treasury bond is 7.83%, the expected inflation in 6 years is (Hint: Do not round intermediate calculations.)

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