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 18PS
Spot interest rates and yields A 6% six-year bond yields 12% and a 10% six-year bond yields 8%. Calculate the six-year spot rate. Assume annual coupon payments. (Hint: What would be your cash flows if you bought 1.2 10% bonds?)
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Suppose you purchase a 10-year bond with 5% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to
maturity was 3.49% when you purchased and sold the bond,
a. What cash flows will you pay and receive from your investment in the bond per $100 face value?
b. What is the internal rate of return of your investment?
Note: Assume annual compounding.
a. What cash flows will you pay and receive from your investment in the bond per $100 face value?
The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.)
Consider a
10-year
bond with a face value of
$1,000
that has a coupon rate of
5.8%,
with semiannual payments.
Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.9%, with semiannual payments.
a. What is the coupon payment for this bond?
b. Draw the cash flows for the bond on a timeline.
a. What is the coupon payment for this bond?
The coupon payment for this bond is $
(Round to the nearest cent.)
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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- Suppose that you buy a TIPS (inflation-indexed) bond with a 1-year maturity and a coupon of 2% paid annually. Assume you buy the bond at its face value of $1,000, and the inflation rate is 10%. a. What will be your cash flow at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be your real return? c. What will be your nominal return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)arrow_forwardA discount bond selling for $7,000 with a face value of $10,000 in one year has a yield to maturity of ___________. (Show the solution as well)arrow_forwardPlease show how to work this out.arrow_forward
- Consider a two-year bond with a face value $1000 and a coupon rate 4.2%paid annually.(a) On the market, the 2-year interest rate is 3%. What is the fair marketprice for this bond?(b) When the interest rate increases to 5%, what would the bond pricebecome?(c) What if the interest rate falls to 1%?arrow_forwardSuppose you purchase a ten-year bond with 12% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 10.64% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ number.) (Round to the nearest cent. Enter a cash outflow as a negative The total cash flow at time 4 (after the fourth coupon) is $. (Round to the nearest cent. Enter a cash outflow as a negative number.) b. What is the internal rate of return of your investment? The internal rate of return of your investment is %. (Round to two decimal…arrow_forwardConsider a bond with a face value of $5,000 that pays a coupon of $200 for 5 years. Suppose the bond is purchased at $5,000, and can be resold next year for $4,800. What is the rate of return and the yield to maturity of the bond? rate of return = 4%, yield to maturity = 0% rate of return = 0%, yield to maturity = 4% rate of return = 8%, yield to maturity = - 4% rate of return = 4%, yield to maturity = 4%arrow_forward
- Using the information from the prior problem, what rate (in %s) do you expect a 5-year bond to have? From Prior: You observe that there is a one-year Treasury bond with a yield of 3.0%. You also assume that rates will increase and that the one-year bond will increase by 1.0% each year. For example, you expect the one-year bond in year 2 will be 4.0% and 5.0% in year 3.arrow_forwardb) suppose that the market interest rate is 5%. Calculate the present value of the following. Show how your answer is obtained. i）A coupon bond with an annual coupon payment of $135 and a face value of $1500 that matures in five years. ii) A discount bond with a face value of $5000 that matures in one years. iii) A fixed payment loan with annual payments of $163 that matures in three years.arrow_forwardsuppose a 30 year, pay coupon of 4% is priced to yield 5%. par = 1000. the bond pays its coupon annually. calculate the instrinsic value of the bond. decide whether the bond is at premium or discount? please show the calculation using excelarrow_forward
- You are considering a 10-year, Rs. 1000 par value bond. Its coupon rate is 10% and interest is paidsemiannually. If you require an effective annual interest rate of 8%, how much should you be willingto pay for the bond? Is effective annual interest rate differing from coupon rate? Explain.arrow_forwardSuppose you can observe that 1-year bond interest rate is 4%, 2-year bond interest rate is 8%, and 3-year bond interest rate is 10% at time t. It is also known that the term premium on a 2-year bond is 1% and the term premium on a 3-year bond is 1.5%. a) What are the market's expected 1-year bond interest rates for the next two years from time t? b) How to interpret those expected short-term interest rates? (what would be the "possible" economic meanings in the expected short- term interest rates?) Discuss as least two "candidates" to explain them.arrow_forwardConsider a bond that pays a 10% coupon rate of interest, has a par value of 1,000 and matures in 4 years. Suppose also that the market rate of interest for such a bond (required rate of return) is 8%. Calculate the intrinsic value or the price of the bonds? (round off your answer to the nearest whole number).arrow_forward
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