Foundations Of Finance
10th Edition
ISBN: 9780134897264
Author: KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher: Pearson,
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Chapter 2, Problem 11SP
Summary Introduction
To determine: The nominal rate of interest on treasury bonds maturing 0-1 year,1-2 years,2-3 years and 3-4 years.
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You are considering investing money in Treasury bills and wondering what the real risk-free rate of interest is. Currently, Treasury bills are yielding 4.3% and the future inflation rate is expected to be 2.5% per year. Ignoring the cross product between the real rate of interest and the inflation rate, what is the real risk-free rate of interest?
4) The table below shows the interest rates available from investing in risk-free U.S. Treasury
securities with different terms to maturity. Put another way, the table below presents the
current spot yield curve. What is the present value (PV) of an investment that promises to
pay $4,000 at the end of each year for the next four years with the first cash flow being paid
one year from today? (provide your answer in the space below)
Term in years:
Rate:
1
1.8%
2
3
4
2.25% 2.30% 2.66%
The Present Value of the annuity described above is:
5
3.13%
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?
Chapter 2 Solutions
Foundations Of Finance
Ch. 2 - Prob. 1RQCh. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - Prob. 4RQCh. 2 - Prob. 5RQCh. 2 - Prob. 6RQCh. 2 - Prob. 7RQCh. 2 - Prob. 8RQCh. 2 - Prob. 9RQCh. 2 - Prob. 10RQ
Ch. 2 - Prob. 11RQCh. 2 - Prob. 12RQCh. 2 - Prob. 13RQCh. 2 - Prob. 14RQCh. 2 - Prob. 15RQCh. 2 - Prob. 1SPCh. 2 - Prob. 2SPCh. 2 - Prob. 3SPCh. 2 - Prob. 4SPCh. 2 - Prob. 5SPCh. 2 - Prob. 6SPCh. 2 - Prob. 7SPCh. 2 - Prob. 8SPCh. 2 - Prob. 9SPCh. 2 - Prob. 10SPCh. 2 - Prob. 11SPCh. 2 - (Interest rate determination) Youre looking at...Ch. 2 - Prob. 13SPCh. 2 - (Yield curve) If yields on Treasury securities...Ch. 2 - (Unbiased expectations theory) Currently you have...Ch. 2 - Prob. 2MCCh. 2 - Prob. 3MCCh. 2 - Prob. 4MCCh. 2 - Prob. 5MC
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- The pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Based on the pure expectations theory, is the following statement true or false? A certificate of deposit (CD) for two years will have the same yield as a CD for one year followed by an investment in another one-year CD after one year True False The yield on a one-year Treasury security is 5.6100%, and the two-year Treasury security has a 8.4200% yield. Assuming that the pure expectations theory is correct, what is the market's estimate of the one-year Treasury rate one year from now? 14.3637% 9.6135% 11.3100% 12.8934% Recall that on a one-year Treasury security the yield is 5.6100% and 8.4200% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.2000%. What is the market's estimate of the one-year Treasury rate one year from now? 12.4260%…arrow_forwardI (Interest rates) 1. Consider a bank account paying interest rate R2 = 4% with semi-annual compounding frequency. What is the equivalent rate R1 with yearly compounding frequency? What is the equivalent rate Rc with continuous compounding? 2. Explain briefly (in words) what are the potential pitfalls of using the Internal Rate of Return (IRR) for the evaluation of investment projects. 3. Consider the following two bonds: bond (A) is a zero-coupon bond with maturity TA and duration DA = TA; bond (B) is a coupon bond with maturity TB > TA and duration DB = TA. Which of the two bonds has a greater convexity? (Justify your answer.)arrow_forwardThe pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Q. Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a. 6.45% b. 6.69% c. 5.46% d. 6.61%arrow_forward
- The pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Based on the pure expectations theory, is the following statement true or false? Q1. A certificate of deposit (CD) for two years will have the same yield as a CD for one year followed by an investment in another one-year CD after one year. a. True b. False Q2. The yield on a one-year Treasury security is 4.9200%, and the two-year Treasury security has a 5.9040% yield. Assuming that the pure expectations theory is correct, what is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a. 5.8627% b. 6.8973% c. 7.8629% d. 8.7596% Q3. Recall that on a one-year Treasury security the yield is 4.9200% and 5.9040% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.2%. What is…arrow_forward1. Consider two bonds with a similar credit rating and pay the same coupon rate per annum. The terms to maturity for Bond A and Bond B are 5 years and 10 years respectively. If inflation rate is expected to increase in the near future and therefore leads to an increase in interest rate, what is the effect on the bond prices? Which bond is likely to experience a larger effect due to the increase in interest rate? Briefly explain your answer.arrow_forwardAssume 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%arrow_forward
- An Overview of Financial Management and the Financial Environment Differentiate between the following types of markets: physical asset vs. financial markets, spot vs. futures markets, money vs. capital markets, primary vs. secondary markets, and public vs. private markets the real risk free rate of interest is 3%. Inflation is expected to be 2% this year and 4% during the next 2 years. Assume that the maturity risk premium (MRP) is zero. What is the yield on a 2 year Treasury security? What is the yield on 3 year Treasury securities? If Apple Computer decided to issue additional common stock, and someone purchased 100 shares of this stock from Merrill Lynch, the underwriter, would this transaction be a primary market transaction or a secondary market transaction? Would it make a difference if the investor purchased previously outstanding Apple stock in the dealer market?arrow_forwardJeff is trying to forecast what the annual interest rate on a three-year bond will be two years from now, and he believes that the expectations hypothesis is the basis upon which he should build his forecast. Currently the rates of return on bonds of different maturities look like this: Maturity Rate 1-year 3.00% 2-year 3.50% 3-year 3.75% 4-year 4.00% 5-year 4.00% Based on the expectations hypothesis, what forecast should Jeff make for the return on a three-year bond, two years in the future?arrow_forwardSuppose we observe the three-year Treasury security rate (1R3) to be 4.9 percent, the expected one-year rate next year-E(21)-to be 5.4 percent, and the expected one-year rate the following year-E(301)-to be 6.4 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the one-year Treasury security rate? (Do not round intermediate calculations. Round your percentage answer to 2 decimal places. (e.g., 32.16)) One-year Treasury security rate %arrow_forward
- In general, how do credit analysts determine the risk-free rate? Choose all that apply. The rate of return on S&P 500 | The average corporate yield The 10-year Treasury yield The yield on a 3-month U.S. Treasury Billarrow_forwardPlease kindly assist d & e. Thank you. Two bonds A and B have the same credit rating, the same par value and the same coupon rate. Bond A has 30 years to maturity and bond B has five (5) years to maturity. Please demonstrate your understanding of interest rates risk by answering the following questions :a. Discuss which bond will trade at a higher price in the marketb. Discuss what happens to the market price of each bond if the interest rates in the economy go up.c. Which bond would have a higher percentage price change if interest rates go up?d. Please substantiate your argument with numerical examples.e. As a bond investor, if you expect a slowdown in the economy over the next 12 months, what would be your investment strategy? Provide your explanations and definitions in detail and be precise.arrow_forwardThe real risk-free rate is 1.95%. Inflation is expected to be 2.95% this year, 4.25% next year, and 2.1% thereafter. The maturity risk premium is estimated to be 0.05 × (t - 1)%, where t = number of years to maturity. What is the yield on a 7-year Treasury note? Do not round intermediate calculations. Round your answer to two decimal places.arrow_forward
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