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?

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?

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 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 5%.a. How much of (i) the zero-coupon bond and (ii) the perpetuity will you hold in your portfolio?b. How will these fractions change next year if target duration is now nine years?
You are managing a portfolio of $1.0 million. Your target duration is 16 years, and you can choose from two bonds: a zero-coupon bond with maturity five years and a perpetuity, each currently yielding 5%. 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.) b. How will these fractions change next year if target duration is now fifteen years? (Do not round intermediate calculations. Round your answers 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 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 % %
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.)
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 $1.0 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 __%
Suppose you purchase a 10-year bond with 6.19% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.34% when you purchased and sold the bond, a. what cash flows will you pay and receive from your investment in the bond per $100 face value? b. what is the annual rate of return of your investment? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) A. Years 2 3 Cash Flows $106.46 $6.19 $6.19 $6.19 $110.46 B. Years 0 2 3 4 Cash Flows - $106.46 $6.19 $6.19 $6.19 $110.46 C. Years 0 1 2 3 4 Cash Flows $104.27 $6.19 $6.19 $6.19 $110.46 D. Years 0 2 3 4 + $6.19 $6.19 $6.19 $104.27 Cash Flows - $110.46 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.)
Suppose you purchase a ten-year bond with 12% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 10.64% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ number.) (Round to the nearest cent. Enter a cash outflow as a negative The total cash flow at time 4 (after the fourth coupon) is $. (Round to the nearest cent. Enter a cash outflow as a negative number.) b. What is the internal rate of return of your investment? The internal rate of return of your investment is %. (Round to two decimal…
Suppose you purchase a 10-year bond with 6.19% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.34% when you purchased and sold the bond, a. what cash flows will you pay and receive from your investment in the bond per $100 face value? b. what is the annual rate of return of your investment? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) A. Years 0 2 3 4 Cash Flows $106.46 $6.19 $6.19 $6.19 $110.46 B. Years 0 2 3 4 Cash Flows - $106.46 $6.19 $6.19 $6.19 $110.46 ○ C. Years 0 2 3 4 Cash Flows $104.27 $6.19 $6.19 $6.19 $110.46 D. Years 0 2 3 4 Cash Flows - $110.46 $6.19 $6.19 $6.19 $104.27 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.)
Suppose you purchase a 10-year bond with 6% annual coupons. You hold the bond for fouryears, and sell it immediately after receiving the fourth coupon. If the bond’s yield to maturitywas 5% when you purchased and sold the bond,a. What cash flows will you pay and receive from your investment in the bond per $100 face value?b. What is the internal rate of return of your investment?
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 4.2% per year. What weight must you hold in the zero coupon bond to immunize your portfolio? Answer in percentage. Round your answers to two decimal places. Do not include the percentage sign (%).
Suppose you purchase a 10-year bond with 6.64% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.17% when you purchased and sold the bond, a. what cash flows will you pay and receive from your investment in the bond per $100 face value? b. what is the annual rate of return of your investment? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) OA. Years Cash Flows O B. Years C. Years Cash Flows Cash Flows - $114.06 O D. Years 0 Cash Flows $107.42 0 0 - $111.26 0 $111.26 1 $6.64 1 $6.64 1 $6.64 1 $6.64 2 $6.64 2 + $6.64 2 + $6.64 2 + $6.64 3 $6.64 3 $6.64 3 $6.64 3 $6.64 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.) 4 $114.06 4 $107.42 4 $114.06 4…

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