Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $1.9 million per year to beneficiaries. The yield to maturity on all bonds is 19.0%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 11.8% (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 7% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. 5 year bond a. 20 year bond b. Par value million million million

Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $1.9 million per year to beneficiaries. The yield to maturity on all bonds is 19.0%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 11.8% (paid annually) is four years and the duration of 20-year-maturity bonds with coupon rates of 7% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. 5 year bond a. 20 year bond b. Par value million million million

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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2) You have a liability of 1,000 at the end of year 1 and another liability of L at the end of year 2. You create a portfolio of assets that exactly match your liabilities using the following available bonds with annual coupons: Term of bond Coupon Rate Yield Rate 3% 6% 1-year 2-year 5% 8% Find L if you invested 932 to purchase the 1-year bond.
You manage a pension fund that will provide retired workers with lifetime annuities. You expect a large number of workers to retire in 8 years. You have the following two bonds to invest in and immunize this portfolio. Inputs Bond A Bond B Settlement date 01-01-2020 01-01-2020 Maturity date 01-01-2025 01-01-2040 Coupon rate 0.025 0.0000 Face Value $1,000.00 $1,000.00 Coupons per year 1 1 Obligation Time to Payout 8 Payout $50,000,000 Initial Yield to Maturity 0.0750 Required: Using any necessary data above, calculate the Present value and Macaulay Duration of the obligation. Assume annual payments. Then calculate the Macaulay Duration and the Modified Duration for each bond. Use this information to immunize the portfolio. Then, re-immunize the portfolio 1 year later using the new yield.
Given: find the corporate bond value with an annual interest rate of 7%, making semi-annual payments, after 2 years, the bond matures and repaying the principal for our purposes, let’s assume a yield to maturity of 5%. Face value of the corporate bond Php. 1,500. can you compute the following?a. Annual Coupon Rateb. Coupon Payment per period1. Coupon2. Timec. Present Value of the Coupon Payment1. Semi-annual Coupon2. Yield of maturity3. Total Periodsd. Present Value of the Face Value
Give typing answer with explanation and conclusion
A company must make a payment of $2500 in 5 years. Four-year zero coupon bonds and seven-year zero coupon bonds are available for investment. These bonds could be purchased in any quantity and the yield rate is 3% effective. Let A and B be the face values of the 4-year and 7-year zero-coupon bonds, respectively, that are purchased to satisfy full immunization against any changes in interest rates. Find A. Possible Answers A 1262 1431 C 1618 D 1725 E 1962
A company has an obligation to pay 2,000,000€ in four years. The financial manager of the company wants to build a portfolio of bonds so that, whether interest rates rise or fall, the portfolio can pay off the abovementioned obligation. Suppose only the three following bonds are available to be chosen: - Coupon bonds with a face value of 1,000€ that mature in 6 years and pay an annual coupon of 6%. - Zero-coupon bonds with a maturity value of 1,000€ that mature in 3 years. - Coupon bonds with a face value of 1,000€, annual coupon of 7% that is paid semiannually and maturity in two years and a half. Determine the exact composition of the portfolio of bonds that guarantees the payment of 2,000,000€ in four years setting a proportion of 20% for zero-coupon bonds and assuming an annual effective yield to maturity of 5%
7. Liability payments of 200,000 each are due in 3 and 5 years from now. You can buy A of a 1-year zero coupon bond and B of a five-year zero coupon bond, both at a yield of 4%. Find A and B if the bond cash-flow is to immunize the liability cash-flow. Answer: A - 92, 456, B- 308, 160
A firm considers to invest in two zero-coupon bonds (A and B) in order to cover for a selection of its future liabilities. These zero-coupon bonds will be redeemed in 7 years' and in 20 years' time, respectively. The given selection of its liabilities consist of £11 million due in 11 years' time and £14 million due in 16 years' time. Find the value of bond B at a rate of interest of 5% per annum effective such that the first two conditions for Redington's theory of immunisation are satisfied
A pension fund has a liability of £65000 to be paid precisely in 4 years time. It wants to Reddington immunise this liability with P 3-year zero coupon bonds and Q 5-year zero coupon bonds, where P and Q are to be determined. Interest is compounded continuously with rate 2%. What is the present value, effective duration and convexity of the liability?
Suppose your firm issues a €100,000,000 5-year bond with a coupon rate of 8% per annum (assume annual compounding). The bond will sell at face value to investors. The underwriting spread is an up-front fee of 2%. What is the actual cost of this debt? Please enter your answer as % -- e.g. if your answer is 2.34% type in 2.34.
You want to receive $5,000 per month in retirement. If you can earn 0.8% return per month and you expect to need the income for 28 years, how much do you need to have in your account at retirement? $582,032 $589,511 $596,123 $575,298 A firm has issued a bond. The bond has a 6% coupon, paid semiannually, a current maturity of 15 years, and sell for $1,273.8. The firm’s marginal tax rate is 21%. What’s the firm’s after-tax component cost of debt? 3.62% 2.86% 6.00% 12%
Please fully explain

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