Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $90.44, while a 2-year zero sells at $82.64. You areconsidering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and thecoupon rate is 12% per year.Required:a. What is the yield to maturity of the 2-year zero?b. What is the yield to maturity of the 2-year coupon bond?c. What is the forward rate for the second year?d. If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) theexpected holding-period return on the coupon bond over the first year?e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?Complete this question by entering your answers in the tabs below.Required A Required B Required CRequired DRequired EWill the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?< Required DRequired E >Higher

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Required: a. What is the yield to maturity of the 2-year zero? b. What is the yield to maturity of the 2-year coupon bond? c. What is the forward rate for the second year?

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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Concept explainers

Bond Valuation

Bond valuation are the notes issued by the corporation to raise long-term funds for the business. The corporations are required to pay the interest on such liabilities at a specified rate of interest (termed as coupon rate) at specified dates which may be on semi-annual or annual basis. These interest payments may be in the form of coupons.

Question

Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $90.44, while a 2-year zero sells at $82.64. You are
considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the
coupon rate is 12% per year.
Required:
a. What is the yield to maturity of the 2-year zero?
b. What is the yield to maturity of the 2-year coupon bond?
c. What is the forward rate for the second year?
d. If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the
expected holding-period return on the coupon bond over the first year?
e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
Complete this question by entering your answers in the tabs below.
Required A Required B Required C
Required D
Required E
Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
< Required D
Required E >
Higher

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Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $94.34, while a 2-year zero sells at $84.99. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year.a. What is the yield to maturity of the 2-year zero?b. What is the yield to maturity of the 2-year coupon bond?c. What is the forward rate for the second year?d. According to the expectations hypothesis, what are (i) the expected price of the coupon bond at the end of the first year and (ii) the expected holding-period return on the coupon bond over the first year?e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
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Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $94.34, while a 2-year zero sells at $84.99. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year. What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year?
Consider a bond that has a life of 2 years and pays a coupon of 10% per annum (with semiannual payments); the yield is 5% per annum with semiannual compounding.(a) What is the bond’s price?(b) What is the bond’s duration?(c) Suppose that the bond price is the one you computed in part (a) and that the 6M, 12M, and 18M zero rates are respectively 4.2%, 4.8% and 5.6% per annum. What is the 2Y zero rate assuming all rates are quoted with semiannual compounding?
You have decided to invest in Bond x, an n-year bond with semi-annual coupons and the following characteristics: Par value is 1000 The ratio of the semi - annual coupon rate to the desired semi- annual yield rate, is 1.03125. The present value of the redemption value is 381.5. Given v=0.5889, what is the price of bond x ? A) 1,055 B) 1,072 C ) 1,073 D) 1,069 E) 1,044
Assume the pure expectation theory holds: If the return on 6 years maturity treasury bill (TB) is 8%, the return on 1-year maturity TB is 6%, the return on a 2 years maturity (TB) is 7%, X is the return on a 3-year maturity bond. a. Calculate X, the forward rate, the return on a 3-year maturity bond, 3 years from today. b. Graph the yield curve c. Based on the yield curve you just derived, what are your expectations of the future performance of the economy?
a. What is the duration of a two-year bond that pays an annual coupon of 11.5 percent and has a current yield to maturity of 13.5 percent? Use $1,000 as the face value. (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616)) b. What is the duration of a two-year zero-coupon bond that is yielding 11.5 percent? Use $1,000 as the face value. a. Duration b. Duration years years
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Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 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. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %
Consider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29
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