Consider an investment portfolio consisting of two zero-coupon bonds: a 4-year zero-coupon bond with maturity value 4,000 and a yield of 4% a 7-year zero-coupon bond with maturity value 7,000 and a yield of 7% What is the modified duration of this 2-bond portfolio? All of the interest rates in this problem are annual effective rates.) A) 5.31 B) 5.36 C) 5.46 D) 5.56 E) 5.91

Consider an investment portfolio consisting of two zero-coupon bonds: a 4-year zero-coupon bond with maturity value 4,000 and a yield of 4% a 7-year zero-coupon bond with maturity value 7,000 and a yield of 7% What is the modified duration of this 2-bond portfolio? All of the interest rates in this problem are annual effective rates.) A) 5.31 B) 5.36 C) 5.46 D) 5.56 E) 5.91

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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Suppose the current yield on a one-year, zero coupon bond is 3%, while the yield on a six-year, zero coupon bond is 7%. Neither bond has any risk of default. Suppose you plan to invest for one year. You will earn more over the year by investing in the six-year bond as long as its yield does not rise above what level? A. 60% B. 7.82% C. 10.38% D. 9.1%
Consider the following bonds: •Bond A: A 2-year zero-coupon bond with a face value of $100 and 6% YTM. •Bond B: A 2-year par-value bond with a face value of $100 and 6% coupon rate. *Bond C: A 2-year par-value bond with a face value of $100 and 7% coupon rate. Suppose the yield curve shifts upwards by one percent. Which bond among bonds A, B, and C will experience the largest percentage price change? Which will have the lowest percentage price change? O a. Bond A; Bond C O b. Bond A; Bond B O c. Bond B; Bond C O d. Bond C; Bond B
29. Consider two fixed coupon bonds with the same maturity 10Y and same face value F = 100. Bond 1 pays yearly coupons with coupon rate C₁ = 5% and bond 2 has coupon rate C₂ = 7%. Which of the two bonds has a larger duration? (a) Bond 1. (b) Bond 2. 30. Consider two exchange rates X/Y and Z/Y. (For example EUR/USD and JPY/USD.) They both follow perfectly correlated geometric Brownian motions with parameters (μ1,01) and (μ2, 02). Does the cross-exchange rate X/Z (for example EUR/JPY) also follows a geometric Brownian motion? (a) Yes (b) No
12. Suppose that 1-year bonds currently offer a nominal yield to maturity of 4% (1,0 = 0.04), otherwise comparable 2-year bonds currently offer a yield to maturity of 4.5% (12,0 = 0.045), and 3 year bonds currently offer a yield to maturity of 4.8% (13,0 = 0.048). a. Draw the current yield curve. b. Based on the Expectations Theory of Term Structure, what yield to maturity do investors expect next year's 1 year bonds to earn (i.e. - what is it,1)? c. What do investors expect the yield to be on 1 year bonds in two years (11,2 = ?)? d. What do investors expect the yield to be on 2 year bonds next year (i2,1 =?)?
4. Given the expectations theory as the correct interpretation of the term structure, calculate and depict the yield curves for the provided series of one-year interest rates: 5%, 7%, 7%, 7%, 7% 5%, 4%, 4%, 4%, 4% a. b. How would your yield curves change if people preferred shorter-term bonds over longer- term bonds? Solution:
B.) The Hull-White model is considering the short rate movement follow the lognormal distribution. 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 1.0000 A 10-year bond issued today at par with an A rating is assumed to bear a coupon rate of 7%. If a bond is issued today at par with a B rating and with a recovery percentage of 50%, what should be its coupon rate so that its expected return will also be 7%? Choose the closest answer A) 2.5% B) 5% C) 7.5% D) 9% E) 11%
10) Suppose a coupon bond with 10 years remaining to maturity is reported to have a duration equal to 6.7 years. Assuming a current interest rate of 9% and an estimated decrease in the interest rate to 8.8%, calculate the estimated percentage increase in the bond's price. Hint: Duration= a) 3.3% b) 2.7% c) 1.2% d) 0.6% %AP Ai/(1+io)
Suppose the interest rate on a 1-year T-bond is 2.60% and that on a 2-year T-bond is 4.50%. Assume that the pure expectations theory is NOT valid, and the MRP is zero for a 1-year T-bond but 0.30% for a 2-year bond. What is the equilibrium market forecast for 1-year rates 1 year from now? a. 4.7333% b. 5.1110% c. 5.2676% d. 5.5463% e. 5.8250%. Only typing answer Please explain step by step
5. To create a portfolio with a duration of 4 years, using a 5-year zero-coupon bond and a 3 year 8% annual coupon bond with a yield to maturity of 10%, one would have to invest % of the portfolio value in the zero-coupon bond. (Hint: First find duration of the coupon bond and use the fact that the duration of a bond portfolio is equal to the sum of duration of each bond x each bond's portfolio weight) A) 50 B) 55 C) 60 D) 65
1) Explain the concept of interest rate risk in bond investment 2) show a numerical example of it by calculating % changes in price for 1 year and 3-year annual coupon bonds. Assume coupon interest rate = 12%, Yield to Maturity = 6%, Face value= 100. Use 2% increase in YTM (i.e., 6% → 8%).
Assume the zero-coupon yields on default-free securities are as summarized in the following table: 3 years 4 years 5 years Maturity 1 year 2 years 7.00% 7.30% 6.20% 6.50% 6.70% Zero-Coupon Yields What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? (Select the best choice below.) O A. One year В. Тwo years C. Three years D. Four years E. Five years
Suppose the real risk-free rate is 2.5%, the average future inflation rate is 2.3%, a maturity premium of 0.07% per year to maturity applies, i.e., MRP = 0.07% (t), where t is the years to maturity. Suppose also that a liquidity premium of 1% and a default risk premium of 0.7% applies to A-rated corporate bonds. How much higher would the rate of return be on a 7-year A-rated corporate bond than on a 5-year Treasury bond. Here we assume that the pure expectations theory is NOT valid. O 1.84% O 1.64% O 1.44% O 1.24% 1.04%

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