1. Consider a bond that has a coupon of 8% paid annually and has a maturity...
1. Consider a bond that has a coupon of 8% paid annually and has a maturity of 5 years. The bond is currently selling for $1,047.34, which means its YTM is 6.85%.
- Compute its duration.
- If interest rate (YTM) is expected to increase by 75 basis points, what is the expected dollar change in price? Percentage change in price?
- Using duration to obtain approximate answers for question (b).
- 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 of 5 years, and a perpetuity, each currently yielding 5%.
- How much of each bond will you hold in your portfolio?
- How will these fractions change next year if target duration is now 9 years?
Homework Answers
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1. Consider a bond that has a coupon of 8% paid annually and has
a maturity...
You are managing a portfolio of $1.0 million. Your target duration is 16 years, and you...
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%. a. How much of (1) 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 bond Perpetuity bond b. How will these fractions change next year if target...
Problem 11-17 You are managing a portfolio of $1.7 million. Your target duration is 15 years,...
Problem 11-17 You are managing a portfolio of $1.7 million. Your target duration is 15 years, and you can choose from two bonds: a zero-coupon bond with maturity 4 years, and a perpetuity, each currently yielding 4%. Required: (a) How much of each bond will you hold in your portfolio? (Round your answers to 4 decimal places.) Zero-coupon bond Perpetuity bond (b) How will these fractions change next year if target duration is now fourteen years? (Round your...
You are managing a portfolio of $1.0 million. Your target duration is 12 years, and you...
You are managing a portfolio of $1.0 million. Your target duration is 12 years, and you can choose from two bonds: a zero-coupon bond with maturity 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? (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 eleven years?...
You are managing a portfolio of $1 million. Your target duration is 10 years, and you...
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 7.5%.
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 7.5%. a. What weight of each bond will you...
value: 30.00 points You are managing a portfolio of $2.7 million. Your target duration is 15...
value: 30.00 points You are managing a portfolio of $2.7 million. Your target duration is 15 years, and you can choose from two bonds a zero-coupon bond with maturity 10 years, and a perpetuity, each currently yielding 5 %. a. How much of each bond will you hold in your portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Zero-coupon bond Perpetuity bond 70 b. How will these fractions change next year if target duration is...
You are managing a portfolio of $1.0 million. Your target duration is 19 years, and you can choose from two bonds: a ze...
You are managing a portfolio of $1.0 million. Your target duration is 19 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 2%. a. How much of (1) 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 bond % Perpetuity bond b. How will these fractions change next year if target...
You are managing a portfolio of $1.0 million. Your target duration is 23 years, and you...
You are managing a portfolio of $1.0 million. Your target duration is 23 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 2%. a. How much of () 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 bond Perpetuity bond b. How will these fractions change next year if target duration...
You are managing a portfolio of $1.0 million. Your target duration is 22 years, and you...
You are managing a portfolio of $1.0 million. Your target duration is 22 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 2%. 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 bond Perpetuity bond b. How will these fractions change next year if target duration...
You are managing a portfolio of $1.0 million. Your target duration is 26 years, and you...
You are managing a portfolio of $1.0 million. Your target duration is 26 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 2%. 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 twenty five...
You are managing a portfolio of $1 million. Your target duration is 10 years, and you...
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 8.6%. a. What weight of each bond will you hold to immunize your portfolio? (Round your answers to 2 decimal places.) Zero-coupon bond Perpetuity bond b. How will these weights change next year if target duration is now nine years? (Round your answers to 2...
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%. a. How much of (1) 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 bond Perpetuity bond b. How will these fractions change next year if target...
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 7.5%.
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 7.5%. a. What weight of each bond will you...
value: 30.00 points You are managing a portfolio of $2.7 million. Your target duration is 15 years, and you can choose from two bonds a zero-coupon bond with maturity 10 years, and a perpetuity, each currently yielding 5 %. a. How much of each bond will you hold in your portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Zero-coupon bond Perpetuity bond 70 b. How will these fractions change next year if target duration is...
You are managing a portfolio of $1.0 million. Your target duration is 19 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 2%. a. How much of (1) 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 bond % Perpetuity bond b. How will these fractions change next year if target...
You are managing a portfolio of $1.0 million. Your target duration is 23 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 2%. a. How much of () 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 bond Perpetuity bond b. How will these fractions change next year if target duration...
You are managing a portfolio of $1.0 million. Your target duration is 22 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 2%. 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 bond Perpetuity bond b. How will these fractions change next year if target duration...
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 8.6%. a. What weight of each bond will you hold to immunize your portfolio? (Round your answers to 2 decimal places.) Zero-coupon bond Perpetuity bond b. How will these weights change next year if target duration is now nine years? (Round your answers to 2...
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