The real risk-free rate of interest is 2 percent. Inflation is expected to be 4 percent this coming year, jump to 6 percent next year, and increase to 7 percent the year after (Year 3). According to the expectations theory, what should be the interest rate on 3-year, risk-free securities today? 6.17% O 7.17% 7.67% 6.67%

The real risk-free rate of interest is 2 percent. Inflation is expected to be 4 percent this coming year, jump to 6 percent next year, and increase to 7 percent the year after (Year 3). According to the expectations theory, what should be the interest rate on 3-year, risk-free securities today? 6.17% O 7.17% 7.67% 6.67%

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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Please explain the reasoning behind this formula. Expected inflation rate=10Year T bill rate−10 Year Inflation − MRP Problem where this solution was used (for reference): Suppose the yield on a 10-year T-bond is currently 5.05% and that on a 10-year Treasury Inflation Protected Security (TIPS) is 1.80%. Suppose further that the MRP on a 10-year T-bond is 0.90%, that no MRP is required on a TIPS, and that no liquidity premium is required on any T-bond. Given this information, what is the expected rate of inflation over the next 10 years? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average.
Treasury securities that matures in 8 years currently have a rate of 11.9 %. Inflation is expected to be 5 percent each of the next 3 years and 6 percent each year after the 3rd year. The maturity risk premium is estimated to be 0.2 (t-1). Where t is the zero. The real risk rate is assumened to be tconsint over time what is the risk free rate of interest. a. 6. 28 b. 4.88 C. 2.51 D. 4.68
Calculating interest rates The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 8% per year for each of the next five years and 7% thereafter. The maturity risk premium (MRP) is determined from the formula: 0.1(t – 1)%, where t is the security’s maturity. The liquidity premium (LP) on all Smith and Carter Inc.’s bonds is 1.05%. The following table shows the current relationship between bond ratings and default risk premiums (DRP): Rating Default Risk Premium U.S. Treasury — AAA 0.60% AA 0.80% A 1.05% BBB 1.45% Q1. Smith and Carter Inc. issues fifteen-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average. a. 12.33% b. 13.38% c. 6.05% d. 11.98% Q2. Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? Option a. A BBB-rated bond has a…
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A 5-year Treasury bond has a 4.35% yield. A 10-year Treasury bond yields 6.5%, and a 10-year corporate bond yields 9.8%. The market expects that inflation will average 2.85% over the next 10 years (IP10 = 2.85%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Open spreadsheet What is the yield on this 5-year corporate bond? Round your answer to two decimal places. fill in the blank %
The following information was gathered by a security analyst. The real rate of interest is 4% and is expected to remain constant for the next 5 years, Inflation is expected to be 2% next year, 3.5% the following year, 5% the third to fifth year. The maturity risk premium is expected to be 0.3 x (t-1)%, The liquidity premium on relevant 5-year securities is 0.75% and the default risk premium on relevant 5-year securities is 0.6%. What is the yield in percent on a 5-year corporate bond? A 10-year Treasury bond yields 6.4%, and a 10-year corporate bond yields 8.4%. The market expects that inflation will average 2.5% over the next 10 years. Assume that maturity risk premium is equal to 0.3(T-1)%, and that the annual real risk-free rate will remain constant over the next 10 years. What is the liquidity risk premium of the 10-year treasury bond? A 10-year Treasury bond yields 6.4%, and a 10-year corporate bond yields 8.4%. The market expects that inflation will average 2.5% over the next 10…
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
4
An investor in Treasury securities expects inflation to be 2.0% in Year 1, 2.7% in Year 2, and 3.55% each year thereafter. Assume that the real risk-free rate is 2.35% and that this rate will remain constant. Three-year Treasury securities yield 5.20%, while 5-year Treasury securities yield 6.00%. What is the difference in the maturity risk premiums (MRPs) on the two securities; that is, what is MRP5 - MRP3? Do not round intermediate calculations. Round your answer to two decimal places
Today is January 2, 2022, and investors expect the annual nominal risk-free interest rates in 2022 through 2024 to be: Year One-Year Rate (rRF) 2022 2.5 % 2023 2.3 2024 3.3 Assume the bonds have no risks. What is the yield to maturity for Treasury bonds that mature at the end of 2023 (a two-year bond)? Round your answer to one decimal place. % What is the yield to maturity for Treasury bonds that mature at the end of 2024 (a three-year bond)? Round your answer to one decimal place. %
A 5-year Treasury bond has a 4.25% yield. A 10-year Treasury bond yields 6%, and a 10-year corporate bond yields 8.9%. The market expects that inflation will average 2.7% over the next 10 years (IP10 = 2.7%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Open spreadsheet What is the yield on this 5-year corporate bond? Round your answer to two decimal places. % Check My Work Reset Problem
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