My pension plan will pay me $11,500 once a year for a 10-year period. The first payment will come in exactly five years. The pension fund wants to immunize its position. Required: a. What is the duration of its obligation to me? The current interest rate is 6.0% per year. b. If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? c. What will be the face value of the holdings in each zero?

My pension plan will pay me $11,500 once a year for a 10-year period. The first payment will come in exactly five years. The pension fund wants to immunize its position. Required: a. What is the duration of its obligation to me? The current interest rate is 6.0% per year. b. If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? c. What will be the face value of the holdings in each zero?

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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After consulting with your financial advisor, you figured that you need $9,000 per year for your living during 35 years of the retirement period. You consider buying an annuity contract that will pay $9,000 at the end of every month. Assuming a rate of return of 12%, how much do you need today to buy the ordinary annuity contract?
You manage an investment fund that sells annuities. You sell a 6-year ordinary level annuity that makes monthly payments of $2,115 per month, starting next month. If interest rates are 3.46% APR (compounded monthly) what is the current price of this annuity?
A borrower can obtain an 80% loan with an 8% interest rate and monthly payments. The loan is to be fully amortized over 25 years. Alternatively, he could obtain a 90% loan at an 8.5% rate with the same loan term. The borrower plans to own the property for the entire loan term. solve with finanical calucltor What is the incremental cost of borrowing the additional funds? How would your answer change if 2 points were charged on the 90% loan? Would your answer to part (b) change if the borrower planned to own the property for only 5 years?
A borrower can obtain an 80 percent loan with an 9 percent interest rate and monthly payments. The loan is to be fully amortized over 25 years. Alternatively, he could obtain a 95 percent loan at an 9.5 percent rate with the same loan term. The borrower plans to own the property for the entire loan term. Required: a. What is the incremental cost of borrowing the additional funds? (Hint: The dollar amount of the loan does not affect the answer.) b. What is the incremental cost of borrowing the additional funds if 2 points were charged on the 95 percent loan? c. What is the incremental cost of borrowing the additional funds if the borrower planned to own the property for only five years? Complete this question by entering your answers in the tabs below. Required A Required B Required C What is the incremental cost of borrowing the additional funds if the borrower planned to own the years? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Incremental…
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You build a retirement fund by continuously paying into the fund for 30 years, at a rate of 5,000 per year at an effective annual interest rate of 9%. After 30 years, you buy a 30-year annuity immediate with your fund at an effective annual interest rate of 8%. The annuity pays P after one year, and payments increase by 5% thereafter. Find P
My pension plan will pay me $10,500 once a year for a 10-year period. The first payment will come in exactly five years. The pension fund wants to immunize its position. Required: a. What is the duration of its obligation to me? The current interest rate is 5.0% per year. b. If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? c. What will be the face value of the holdings in each zero? Complete this question by entering your answers in the tabs below. Required A Required B Required C What is the duration of its obligation to me? The current interest rate is 5% per year. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Duration years
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