You want to immunize a portfolio that is equally weighted in three zero coupon bonds with maturities of 6.0, 12.0, and 18.0 years. You will immunize this by creating a portfolio from two zero coupon bonds with 2.0 and 19.0 years until maturity. What portfolio weight should be invested in the 2.0? Note that the weights for the 2.0 and 19.0 year bonds should add up to one.

You want to immunize a portfolio that is equally weighted in three zero coupon bonds with maturities of 6.0, 12.0, and 18.0 years. You will immunize this by creating a portfolio from two zero coupon bonds with 2.0 and 19.0 years until maturity. What portfolio weight should be invested in the 2.0? Note that the weights for the 2.0 and 19.0 year bonds should add up to one.

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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Give typing answer with explanation and conclusion Consider a coupon bond with coupon payment=4.25, M=100, and n=2. Suppose ?1 = 4% and ?2 = 4.24%. Consider a forward contract for the delivery of the coupon bond in one period from today. Calculate the forward price using the following two approaches: 1) use the forward rate to price the forward contract; 2) use the cost of carry approach: spot-forward parity adjusted for the coupons.
Need help finding the current yield for both bond P and D, & the capital yield gains for both bonds P and D. Thank you in advance
Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, A-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.83 % — AAA corporate 1.03 0.20 % AA corporate 1.39 0.56 A corporate 1.79 0.96 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: fill in the blank _ % 7-year Corporate yield: fill…
For example, assume Sophia wants to earn a return of 7.00% and is offered the opportunity to purchase a $1,000 par value bond that pays a 7.00% coupon rate (distributed semiannually) with three years remaining to maturity. The following formula can be used to compute the bond’s intrinsic value: Intrinsic ValueIntrinsic Value = = A(1+C)1+A(1+C)2+A(1+C)3+A(1+C)4+A(1+C)5+A(1+C)6+B(1+C)6A1+C1+A1+C2+A1+C3+A1+C4+A1+C5+A1+C6+B1+C6 Complete the following table by identifying the appropriate corresponding variables used in the equation. Unknown Variable Name Variable Value A Bond’s semiannual coupon payment B Bond’s par value $1,000 C Semiannual required return Now, consider the situation in which Sophia wants to earn a return of 5.00%, but the bond being considered for purchase offers a coupon rate of 7.00%. Again, assume that the bond pays semiannual interest payments and has three years to maturity. If you round the bond’s…
Assume you have a 1-year investment horizon and are trying to choose among three bonds. All have the same degree of default risk and mature in 10 years. The first is a zero-coupon bond that pays $1,000 at maturity. The second has an 7.6% coupon rate and pays the $76 coupon once per year. The third has a 8.6% coupon rate and pays the $86 coupon once per year. a. If all three bonds are now priced to yield 6% to maturity, what are the prices of: (i) the zero-coupon bond; (ii) the 7.6% coupon bond; (iii) the 8.6% coupon bond? Answer to a Current Prices Zero Coupon= $558.39 7.6% = $1117.76 8.6%= $1191.36 Need answers to part d and e
You have two bonds in your portfolio, Bond Y and Bond Z. Bond Y matures in 10 years and Bond Z matures in 5 years. They both have the same coupon rates. If interest rates increase or decrease which bond would you expect to have the largest change in their market price?
Use the following table to fill in values for the bond's coupon payment and present value, and Sam's semiannual required rate of return for this investment. Variable Name Coupon Payment Semiannual Required Rate of Return Present Value Variable Value Now, suppose Sam wants to earn a return of 14.00 percent, but the bond being considered for purchase offers a coupon rate of 14.00 percent. It is a $1,000 par value bond that pays a 14.00 percent coupon rate (distributed semiannually) and has three years remaining to maturity. The bond's present value is its par value, which means that the bond is which is Given your calculations and conclusions, which of the following statements are true? Check all that apply. When the coupon rate is less than Sam's required rate of return, the bond should trade at a premium. When the coupon rate is equal to Sam's required return, the bond should trade at par. When the coupon rate is less than Sam's required rate of return, the bond should trade at a…
Yield to maturity (YTM) is the rate of return expected from a bond held until its maturity date. However, the YTM equals the expected rate of return under certain assumptions. Which of the following is one of those assumptions? The bond will not be called. The bond has an early redemption feature. Consider the case of BTR Co.: YTM YTC BTR Co. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The bonds have a par value of $1,000, and their current market price is $1,100.35. However, BTR Co. may call the bonds in eight years at a call price of $1,060. What are the YTM and the yield to call (YTC) on BTR Co.'s bonds? Value If interest rates are expected to remain constant, what is the best estimate of the remaining life left for BTR Co.'s bonds? 13 years 10 years 5 years 8 years If BTR Co. issued new bonds today, what coupon rate must the bonds have to be issued at par?
The current zero-coupon yield curve for risk-free bonds is as follows What is the price per $100 face value of a four-year, zero-coupon, risk-free bond? The price per $100 face value of the four-year, zero-coupon, risk-free bond is $_______(Round to the nearest cent.)
Use the following information to answer the question(s) below. Suppose that a default-risk-free zero-coupon bond with a face value of $100 and 5 years to maturity is currently trading at $60. Another bond with the same face value and time to maturity but at risk of defaulting sells for $30. (If this risky bond defaults, there is a 70% chance that 30% of the face value will be recovered and a 30% chance that 50% of the face value will be recovered.) Also, suppose the spread between the expected zero rates of the two bonds is 5% pa. What must be the default probability of the second bond (risky bond)? Choose the closest answer. O 47.66% 58.82% 37.32% None of the other answers are correct. O 67.23%
. Risks of investing in bonds A security with higher risk will have a higher expected return. A bond’s risk level is reflected in its yield, but understanding the different risks involved when investing in bonds is important. The curves on the following graph show the prices of two 10% annual coupon bonds at various interest rates. Based on the graph, which of the following statements is true? Neither bond has any interest rate risk. The 1-year bond has more interest rate risk. Both bonds have equal interest rate risk. The 10-year bond has more interest rate risk. Which type of bonds offer a higher yield? Noncallable bonds Callable bonds Answer the following question based on your understanding of interest rate risk and reinvestment risk. True or False: Assuming all else is equal, the shorter a bond’s maturity, the more its price will change in response to a given change in interest rates. False True
A 20-year bond has a coupon rate of 8 percent, and another bond of the same maturity has a coupon rate of 15 percent. If the bonds are alike in all other respects, which will have the greater relative market price decline if interest rates increase sharply? Why?

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