Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 3, Problem 26PS
Summary Introduction
To discuss: The reason for person X to believing someone who says 5-year spot interest rate is 2.5% and whether he can make money if that person was right and the minimum sensible value for 5-year spot rate.
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Students have asked these similar questions
Once you have defined the words above, draw
the following comparisons:
1. How is a fixed interest rate different
from a variable interest rate? When can
either be an advantage?
2. What is the difference between simple
interest and compound interest? Which
is more expensive?
3. What would $1000 become in a saving
account at 3% per year for 3 years
when the interest is not compounded
(simple interest)? What would the
same amount become after 3 years
with the same rate but compounded
annually?
You are researching interest rates and their forecasts. Your research provides you with the following:
1-year rate = 6% 2-year rate = 6.125% 3-year rate = 8.5%
1-year rate, 2 years from now = 6.5%
Assuming you can borrow $1 million, can you use this interest rate information to earn some risk-free profit. if yes, compute the profit. Show detailed workings. Assume that the pure expectations theory applies.
Construct a spreadsheet to convert a nominal interest rate compounded m times per year i(m) and convert it to an
effective rate jn per 1/n of a year. On the same spreadsheet, also start with an effective rate jm per 1/m of a year and
convert it to a nominal rate i(n) compounded n times per year. Use your spreadsheet to solve the following two
problems:
Given the nominal rate i(12) = 5.700%, find the equivalent effective semi-annual rate.
Given the effective semi-annual rate j2 = 2.884%, find the equivalent nominal rate ¡(12).
Chapter 3 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 3 - (PRICE) In February 2009, Treasury 8.5s of 2020...Ch. 3 - (YLD) On the same day, Treasury 3.5s of 2018 were...Ch. 3 - (DURATION) What was the duration of the Treasury...Ch. 3 - (MDURATION) What was the modified duration of the...Ch. 3 - Prob. 1PSCh. 3 - Bond prices and yields The following statements...Ch. 3 - Prob. 3PSCh. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields Construct some simple...Ch. 3 - Spot interest rates and yields Which comes first...
Ch. 3 - Prob. 7PSCh. 3 - Spot interest rates and yields Assume annual...Ch. 3 - Prob. 9PSCh. 3 - Prob. 10PSCh. 3 - Duration True or false? Explain. a....Ch. 3 - Duration Calculate the durations and volatilities...Ch. 3 - Term-structure theories The one-year spot interest...Ch. 3 - Real interest rates The two-year interest rate is...Ch. 3 - Duration Here are the prices of three bonds with...Ch. 3 - Prob. 16PSCh. 3 - Prob. 17PSCh. 3 - Spot interest rates and yields A 6% six-year bond...Ch. 3 - Spot interest rates and yields Is the yield on...Ch. 3 - Prob. 20PSCh. 3 - Prob. 21PSCh. 3 - Duration Find the spreadsheet for Table 3.4 in...Ch. 3 - Prob. 23PSCh. 3 - Prob. 25PSCh. 3 - Prob. 26PSCh. 3 - Prob. 27PSCh. 3 - Prob. 28PSCh. 3 - Prob. 29PSCh. 3 - Prices and yields If a bonds yield to maturity...Ch. 3 - Prob. 31PSCh. 3 - Price and spot interest rates Find the arbitrage...Ch. 3 - Prob. 33PSCh. 3 - Prices and spot interest rates What spot interest...Ch. 3 - Prices and spot interest rates Look one more time...
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- 1. A consumer, who is initially a lender, remains a lender even after a decline in interest rates. Is this consumer better off or worse off after the change in interest rates? If the consumer becomes a borrower after the change is he better off or worse off? 2. What is the present value of $100 one year from now if the interest rate is 10%? What is the present value if the interest rate is 5%?arrow_forwardHow can you use zero-coupon yields to calculate implied one-year forward rates? Give an examplearrow_forwardSuppose someone offers to pay you $1,000 in one year. Which of the following is/are correct? Select all that apply. O If inflation goes up, the present value of that $1,000 would go down. O If your time preference goes up (i.e., you become more impatient), the present value of that $1,000 for you would go down. If interest rates go up, the present value of that $1,000 would also go up. O If uncertainty in the economy goes up, the present value of that $1,000 would also go up.arrow_forward
- 6-1 YIELD CURVES Assume that yields on U.S. Treasury securities were as follows: Term Rate 6 months 4.69% 1 year 5.49 2 years 5.66 З years 5.71 4 years 5.89 5 years 6.05 10 years 6.12 20 years 6.64 30 years 6.76arrow_forwardNow explain this meaning of G(s, t) when t is less than s. We go backwards in For tarrow_forwardWhat is the present value for a future value of FV=$500,000 at time t=36 if the interest rate is r=0.05 (e.g., r=5%)? What is the interest rate “r” if PV=$100 and the FV=$350 in year t=12? What is the interest rate “r” if PV=$1250 and the FV=$2150 in year t=10? How long will it take to double your investment if the interest rate is r=0.06 (r=6%)? How long will it take to increase your investment by 2.5 times if the interest rate is r=0.14 (r=14%)? Which is the better option if the interest rate is r=0.10 (r=10%)? Show all work used to arrive at your answer. a. Option I: Receive $1000 today at time t=0. b. Option II: Receive $1615 at time t=5.10) Which is the better option if the interest rate is r=0.07 (r=7%)? Show all work used to arrive at your answer. a. Option I: Receive $510 today at time t=0. b. Option II: Receive $1000 at time t=10.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. 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_forwardOptimizing economic agents use the real interest rate when thinking about the economic costs and returns of a loan. Suppose the average rate paid by banks on savings accounts is 0.65% at a time when inflation is around 1.45%. For the average saver, the real rate of interest on his or her savings is %. (Round your response to two decimal places and use a minus sign if necessary.) If banks expect that the rate of inflation in the coming year will be 4.45% and they want a real return of 5.5% on a certain category of loans, then the nominal rate they should charge borrowers on those loans is %. (Round your response to two decimal places. If the economy experiences an unexpectedly high rate of inflation, the group that would tend to benefit is O A. debtors (people or businesses who owe money) O B. creditors (people or institutions that are owed money) O C. both would benefit equally. O D. neither benefits.arrow_forwardWill doubling the interest rate on an investment cut the time it takes to earn the same amount of interest in half? Could you provide an example?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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