You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest intwo bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currentlyyielding 4.2% per year.What weight must you hold in the zero coupon bond to immunize your portfolio? Answer inpercentage. Round your answers to two decimal places. Do not include the percentage sign (%).

A mix of various investment alternatives that an investor puts his money into is regarded as a…

e managing a portfolio of $1 million. Your target duration is 10 years, and you can in onds, a zero-coupon bond with maturity of five years and a perpetuity, each current ng 4.2% per year. weight must you hold in the zero coupon bond to immunize your portfolio? Answer ntage. Round your answers to two decimal places. Do not include the percentage sig

e managing a portfolio of $1 million. Your target duration is 10 years, and you can in onds, a zero-coupon bond with maturity of five years and a perpetuity, each current ng 4.2% per year. weight must you hold in the zero coupon bond to immunize your portfolio? Answer ntage. Round your answers to two decimal places. Do not include the percentage sig

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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You are managing a portfolio of $1.0 million. Your target duration is 18 years, and you can choose from two bonds: a zero-coupon bond with maturity five years and a perpetuity, each currently yielding 4%.Required: a. How much of (i) the zero-coupon bond and (ii) the perpetuity will you hold in your portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) zero-coupon __% perpetuity bond __% b. How will these fractions change next year if target duration is now seventeen years? (Do not round intermediate calculations. Round your answers to 2 decimal places.) zero-coupon __% perpetuity bond __%
You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currently yielding 7.0%. Required: a. What weight of each bond will you hold to immunize your portfolio? b. How will these weights change next year if target duration is now nine years? Complete this question by entering your answers in the tabs below. Required A Required B What weight of each bond will you hold to immunize your portfolio? Note: Round your answers to 2 decimal places. Zero-coupon bond Perpetuity bond % %
What is the Macaulay duration of a 7 percent semiannual coupon bond with two years to maturity and a current price of $1,055.30? (Note: You are required to solve the problem by calculating "Years \times PV / Bond Price" for each cash flow and summing the results. YTM and PV must be calculated using a financial calculator. Round your answer to four decimal places.)
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.)
You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currently yielding 10.0%. a. What weight of each bond will you hold to immunize your portfolio? (Round your answers to 2 decimal places.) b. How will these weights change next year if target duration is now nine years? (Round your answers to 2 decimal places.)
You are managing a portfolio of $1 million. Your target duration is 10 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 5%. a. (Immunization) How much of each bond will you hold in your portfolio (in percentage)? b. (Rebalance) How will these fractions change next year if target duration is now nine years? D
Suppose that you buy a two-year 7.3% bond at its face value. a-1. What will be your total nominal return over the two years if inflation is 2.3% in the first year and 4.3% in the second? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Nominal return a-2. What will be your real return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Real return % % Real return Nominal return b. Now suppose that the bond is a TIPS. What will be your total 2-year real and nominal returns? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) 1%
Suppose that you buy a 1-year maturity bond with a coupon of 7% paid annually. If you buy the bond at its face value, what real rate of return will you earn if the inflation rate is 4%? 6%? 8%? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.)
What is the value of a bond that has a par value of $1,000, a coupon of $120 (annually), and matures in 10 years? Assume a required rate of return of .0702. Instruction: Type your answer in dollars, and round to two decimal places.
You find a bond with 27 years until maturity that has a coupon rate of 9 percent and a yield to maturity of 10 percent. What is the Macaulay duration? The modified duration? Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
You buy a 20-year bond with a coupon rate of 10.0% that has a yield to maturity of 11.0%. (Assume a face value of $1,000 and semiannual coupon payments.) Six months later, the yield to maturity is 12.0%. What is your return over the 6 months? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign. X Answer is complete but not entirely correct. (3.12) % Rate of return
You buy a 20-year bond with a coupon rate of 7.6% that has a yield to maturity of 9.7%. (Assume a face value of $1,000 and semiannual coupon payments.) Six months later, the yield to maturity is 10.7%. What is your return over the 6 months? Note: Do not round Intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign. Rate of return

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