You are asked to invest $30 million in a bond portfolio consisting of only two bonds. Bond A has a yield of 6% and is a 5 year coupon bond a duration of 4.36 years, and bond B has a yield 7% and is a 7 year coupon bond duration of 6.50 years. The portfolio is to have an investment horizon of 5 years. How much of each bond issue would you have to buy to immunize the portfolio? A. Invest in 70 percent bond A and 30 percent bond B. B. Invest in 60 percent bond A and 40 percent bond B. C. Invest in 30 percent bond A and 70 percent bond B D. Invest in 40 percent bond A and 60 percent bond B

You are asked to invest $30 million in a bond portfolio consisting of only two bonds. Bond A has a yield of 6% and is a 5 year coupon bond a duration of 4.36 years, and bond B has a yield 7% and is a 7 year coupon bond duration of 6.50 years. The portfolio is to have an investment horizon of 5 years. How much of each bond issue would you have to buy to immunize the portfolio? A. Invest in 70 percent bond A and 30 percent bond B. B. Invest in 60 percent bond A and 40 percent bond B. C. Invest in 30 percent bond A and 70 percent bond B D. Invest in 40 percent bond A and 60 percent bond B

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

See similar textbooks

Similar questions

Suppose you purchase a 30-year, zero-coupon bond with a yield to maturity of 6%. You hold the bond for five years before selling it. a. If the bond's yield to maturity is 6% when you sell it, what is the internal rate of return of your investment? b. If the bond's yield to maturity is 7% when you sell it, what is the internal rate of return of your investment? c. If the bond's yield to maturity is 5% when you sell it, what is the internal rate of return of your investment? d. Even if a bond has no chance of default, is your investment risk free if you plan to sell it before it matures? Explain. Note: Assume annual compounding.
You want to invest in a risk-free investment for the next 3 years. You can invest in a 3-year zero coupon bond or you can invest in a 1-year zero coupon bond now, then in one year from now invest in a 2- year zero coupon bond. The spot interest rate on the 3-year bond is 3.25%. The spot interest rate on the 1-year bond is 2%. What spot interest rate do you expect to earn on a 2-year bond in one year from now?
Suppose you have an obligation to pay € 56 000 in 8 years time. To avoid interest risk you intend to hedge with two bonds. You can use one zero coupon bond that matures 10 years from now, and one bond that pays coupons once a year at the rate of 5% and matures in 3 years with a face value of 100. Assume a flat yield curve. (a) What amount do you have to invest in each of the two bonds during the first year to hedge your obligation if the yield is 5%? What is the payoff at maturity (face value) of your investment in the zero coupon bond? How many units of the coupon bond do you have to buy? (Assume that you can buy any fractional amount of the bonds.) (b) What is the value of your portfolio today if immediately after the investment the market rate falls to 4%? What will be the value in 8 years if interest rates will not change again?
Assume you can buy a bond that has a par value of $1000, matures in 10 years, yielding 6% and has a duration of 5. If you would like to use this bond to form a guaranteed investment contract “GIC” and offer a guaranteed rate of return to investors for certain years. a. what is the maximum yield you can offer? Why? Explain. b. For how many years would you make the guarantee? Explain.
You want to invest in a bond for one year, and are deciding between the following two choices - Bond A and Bond B, both of which have a maturity of 1 year and a par value of $1,000.Bond A is a regular(i.e., nominal- return) with a couponrate of 3% per year, payable semi-annually. The current price of Bond A is $998. Bond B is a real-return bond with a coupon rate of 2% per year, payable annually. The current price of Bond B is $1,000. What is the inflation rate (over the next year) that will make the (nominal) ratesof return of the two choices the same?
Suppose you purchase a 30-year, zero-coupon bond with a face value of $100 and a yield to maturity of 6%. You hold the bond for five years before selling it. If the bond’s yield to maturity is 6% when you sell it, what is the internal rate of return of your investment?
You want to form a bond portfolio that pays $100 every six months, for the next year. That is, $100 in 0.5 years and $100 in 1 year. To achieve this goal, you will purchase Bonds A and B, which have a face value of $100 and pay semi-annual coupons. The following information is available: Bond A • Coupon rate (APR): 4.3% Maturity: 1 year Bond B • Coupon rate (APR): 9.5% • Maturity: 1 year Calculate the number of units you must buy of Bond B to achieve your goal. Express your answer as a number with two decimals. E.g. If your answer is 102.544, then enter it as 102.54
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.)
An investor is presented with the following two alternative investment strategies: purchase a 3-year bond with an interest rate of 6% and hold it until maturity or, purchase a 1-year bond with an interest rate of 7%, and when it matures, purchase another 1-year bond with an expected interest rate of 6%, and when it matures, purchase another 1-year bond with an interest rate of 5%. What is the expected return of the first strategy? What is the expected average return over the 3-years for the second strategy? Why does our anayses of the expectations theory indicate that this is exactly what you should expect to find?
Suppose you purchase a $1,000 bond with a coupon rate of 8% matures in 5 years at par, and you plan to sell it at the end of 3 years at the prevailing market price. When you purchase the bond, your investment advisor predicts that similar bonds with 2 years to maturity yield at 6%. What is the expected yield to maturity on the bond?
Suppose you purchase a 30-year Treasury bond with a 5% annual coupon, initially trading at par. In 10 years' time, the bond's yield to maturity has risen to 7% (EAR). (Assume $100 face value bond.) a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? b. If instead you hold the bond to maturity, what internal rate of return will you earn on your initial investment in the bond? c. Is comparing the IRRs in (a) versus (b) a useful way to evaluate the decision to sell the bond? Explain. a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? The IRR of the bond 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?

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS