Macroeconomics (9th Global Edition)
9th Edition
ISBN: 9780134141534
Author: Andrew B. Abel, Ben Bernanke
Publisher: Pearson Global Edition
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Question
Chapter 7, Problem 1NP
To determine
To find: The interest rate on two year bond, three year bond and the shape of yield curve.
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Suppose that the yield curve shows that the one-year bond yield is 3 percent, the two-year yield is 4 percent, and the three-year yield is 5 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. What are the expected one-year interest rates next year and the following year?
A bond has a Macaulay duration of
10.00
and is priced to yield
8.0%.
If interest rates go up so that the yield goes to
8.5%,
what will be the percentage change in the price of the bond? Now, if the yield on this bond goes down to
7.5%,
what will be the bond's percentage change in price? Comment on your findings.
If interest rates go up to
8.5%,
the percentage change in the price of the bond is
nothing%.
(Round to two decimal places.)
If interest rates go down to
7.5%,
the percentage change in the price of the bond is
nothing%.
(Round to two decimal places.)
Comment on your findings. (Select the best answer below.)
A.
As interest rates decrease, the price of the bond decreases. As interest rates increase, the price of the bond increases.
B.
As interest rates increase or decrease, the price of the bond will always increase.
C.
As interest rates increase or decrease, the price of the bond remains the same.
D.
As interest rates…
Calculate the bond yield rate (%) for a bond with an annual interest payment of $200 and a market price of $9,000.
Chapter 7 Solutions
Macroeconomics (9th Global Edition)
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Similar questions
- Using your knowledge of the term structure of interest rates, demonstrate that the assertion “the interest rate on a long-term bond will equal an average of the short-term interest rates that people expect to occur over the life of the long-term bond ” holds.arrow_forward: Show graphically the effect of a rise in expected inflation on interest rates in the bond market.arrow_forwardIn January of 2019 , Sweden announced that it would increase its sale of government bonds from 55 billion krone to 85 billion krone. This resulted in (an increase, decrease, no change, an ambiguous change) in the price of government bonds and (an increase, decrease, no change, an ambiguous change) in the yield of government bonds.arrow_forward
- Consider the following hypothetical investment for the fund. Issue a one-month liability and purchase a $1,000, 15-year, 5% coupon Treasury bond. Assume that the one-month interest rate is currently 2% and that the 15-year interest rate is currently 5%. How much in liabilities would the fund have to issue to finance the purchase of the Treasury bond? At the end of one year the fund has received the coupon-interest payment on the bond and paid interest on its short-term liabilities. What is the net earnings for the fund for that year? What is the value of the bond investment at the end of the year (there are 14 years to maturity remaining on the bond) assuming that the long-term rate is still 5%? What is the net asset value (market value of assets minus liabilities) of the fund?arrow_forwardConsider a fixed-payment security that pays $500 at the end of every year for ten years. If the rate of discount is 7 percent, find the present value of the bond? Show your work..arrow_forwardWhich of the following statements is false? 1 )Because the cash flows promised by the bond are the most that bondholders can hope to receive, the cash flows that a purchaser of a bond with credit risk expects to receive may be less than that amount. 2) By consulting bond ratings, investors can assess the creditworthiness of a particular bond issue. 3.Because the yield to maturity for a bond is calculated using the promised cashflows, the yield of bonds with credit risk will be lower than that of otherwise identical default-free bonds. 4) A higher yield to maturity does not necessarily imply that a bond's expected return is higher. 5) none of the answers are correctarrow_forward
- Indicate which one of following statements is true for a coupon bond: A) When the price of a bond is above its par value, the yield to maturity is greater than the coupon rate. B) The yield to maturity and the price of a coupon bond are positively related. C) When the price of a coupon bond equals its face value, the yield to maturity equals the coupon rate. D) When the price of a bond is below its par value, the yield to maturity is less than the coupon rate Support your answer with the use of a formula and explain in detail all the assumptions you make and all the components you use. (You may also want to use a yield calculator to verify you answer).arrow_forwardOver the next three years, the expected path of 1-year interest rates is 1,2, and 1 percent, and the 1-year, 2-year and 3-year term premia are 0, 0.2, and 0.5 percent, respectively. Using the information, the liquidity premium theory of the term structure predicts that the current interest rate on 3-year bond is ____% (round to one decimal place x.x).arrow_forwardOver the next three years, the expected path of 1 year interest rates is 1, 2, and 1 percent, and the 1 year, 2 year, and 3 year term premia are 0, 0.2, and 0.5 percent, respectively. Using the information, the liquidity premium theory of the term structure predicts that the current interest rate on 3 year bond is ____%arrow_forward
- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, and two years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of £)as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantity demanded/supplied at this interest rate? What happens to the demand/supply of the bond as the interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain. e) There is a business cycle contraction, so both supply and demand shifts. After the shift, the new demand curve is given by: D = 4000 + X − 2P , whereas the new supply curve is S = 2P + 200. For which values of X will the interest increase/decrease? Which values of X are in line with empirical data? Please show all the steps and equations used to get to the answers.arrow_forwardThe demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, and two years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of £)as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantity demanded/supplied at this interest rate? What happens to the demand/supply of the bond as the interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain. e) There is a business cycle contraction, so both supply and demand shifts. After the shift, the new demand curve is given by: D = 4000 + X − 2P , whereas the new supply curve is S = 2P + 200. For which values of X will the interest increase/decrease? Which values of X are in line with empirical data?arrow_forwardConsider the following: today's interest rate for a 12-year bond is 7%; today's interest rate for a 4-year bond is 4%; the interest rate for a 4-year bond, expected in 4 years is 5%. Find the interest rate for a 4-year bond expected in 8 years. The interest rate on the 12 year bond carries a .5% liquidity premium. Use the arithmetic or simple average approach.arrow_forward
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